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20320</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Part 2: Vocabulary:</span></p> <p><span class="s1"></span> </p> <p><span class="s1">11.<span class="Apple-converted-space"> </span>J</span></p> <p><span class="s1">12. A</span></p> <p><span class="s1">13. B</span></p> <p><span class="s1">14. I</span></p> <p><span class="s1">15. G</span></p> <p><span class="s1">16. H</span></p> <p><span class="s1">17. C</span></p> <p><span class="s1">18. E</span></p> <p><span class="s1">19. F</span></p> <p><span class="s1">20. D</span></p> <p><br></p> <p><span class="s1">22241</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(m)</span></p> <p><span class="s1">3 - 2x = 15</span></p> <p><span class="s1">2x = 3 - 15</span></p> <p><span class="s1">2x = -12</span></p> <p><span class="s1">x = -6</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(n)<span class="Apple-converted-space"></span></span></p> <p><span class="s1">2/3y - 11 = 3</span></p> <p><span class="s1">2/3y = 3 + 11</span></p> <p><span class="s1">2/3y = 14</span></p> <p><span class="s1">2y = 42</span></p> <p><span class="s1">y= 21</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(o)</span></p> <p><span class="s1">6t + 5 = -11</span></p> <p><span class="s1">6t = -11 - 5</span></p> <p><span class="s1">6t = -16</span></p> <p><span class="s1">T = -16/6</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(p)</span></p> <p><span class="s1">6 - m = -4</span></p> <p><span class="s1">m = 6 + 4</span></p> <p><span class="s1">m= 10</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2</span></p> <p><span class="s1">(x + 3) (x - 1)</span></p> <p><span class="s1">x</span><span class="s2"><sup>2</sup></span><span class="s1"> - x + 3x - 3</span></p> <p><span class="s1">x</span><span class="s2"><sup>2</sup></span><span class="s1"> + 2x - 3</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(2x + 6) (3x + 4)</span></p> <p><span class="s1"><span class="Apple-converted-space"></span>6x</span><span class="s2"><sup>2</sup></span><span class="s1"><span class="Apple-converted-space"> </span>+ 8x + 18x + 24</span></p> <p><span class="s1">6x</span><span class="s2"><sup>2</sup></span><span class="s1"><span class="Apple-converted-space"> </span>+ 26x + 24</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(-4n</span><span class="s2"><sup>2</sup></span><span class="s1">) </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> (5n</span><span class="s2"><sup>7</sup></span><span class="s1">)</span></p> <p><span class="s1">(-4n</span><span class="s2"><sup>2</sup></span><span class="s1">) </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> (5n</span><span class="s2"><sup>2</sup></span><span class="s1">n</span><span class="s2"><sup>5</sup></span><span class="s1">)</span></p> <p><span class="s1">(n</span><span class="s2"><sup>2</sup></span><span class="s1">) (-4 </span><span class="s2"><strong><sup>. </sup></strong></span><span class="s1">5n</span><span class="s2"><sup>5</sup></span><span class="s1">)</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(2x)</span><span class="s2"><sup>3</sup></span><span class="s1"> </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> (5x</span><span class="s2"><sup>4</sup></span><span class="s1">)</span><span class="s2"><sup>2</sup></span></p> <p><span class="s1">8x</span><span class="s2"><sup>3</sup></span><span class="s1"> </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> 25x</span><span class="s2"><sup>8</sup></span></p> <p><span class="s1">8x</span><span class="s2"><sup>3</sup></span><span class="s1"> </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> 25x</span><span class="s2"><sup>3</sup></span><span class="s1">x</span><span class="s2"><sup>5</sup></span></p> <p><span class="s1">(x</span><span class="s2"><sup>3</sup></span><span class="s1">)(8+ 25x</span><span class="s2"><sup>5</sup></span><span class="s1">)</span></p> <p><br></p> <p><br></p> <p><span class="s1">22622</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Across</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2. Volere</span></p> <p><span class="s1">3. Salve</span></p> <p><span class="s1">5. Auguri</span></p> <p><span class="s1">7. Buon natale</span></p> <p><span class="s1">9. Ciao</span></p> <p><span class="s1">10. Buonasera</span></p> <p><span class="s1">11. Molti</span></p> <p><span class="s1">12. Biglietto di auguri</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Down</span></p> <ol> <li><span class="s1">Buon compleanno</span></li> </ol> <p><span class="s1">4.<span class="Apple-converted-space"> </span>Buona notte</span></p> <p><span class="s1">6. Buona pasqua</span></p> <p><span class="s1">7. Buona giornata<span class="Apple-converted-space"></span></span></p> <p><span class="s1">8. Addio</span></p> <p><br></p> <p><span class="s1">23413</span></p> <p><span class="s1">Enzyme Worksheet</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">Proteins</span></li> <li><span class="s1">Enzymes catalyse vital reactions in the body by lowering the activation energy of a reaction. For example, they allow digestive processes to function.</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="s1">3.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">4.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1" <the="" enzyme="" binds="" to="" the="" substrate="" create="" an="" complex.="" lowers="" activation="" energy="" of="" reaction="" and="" works="" on="" catalyse="" a="" reaction.="" as="" result,="" product="" is="" formed.="" in="" final="" stage,="" releases="" from="" free="" continue="" catalysing="" other="" reactions.="">span class="Apple-converted-space"></span></p> <p><br></p> <p><br></p> <p><span class="s1">30454</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">(1)</span></li> <li><span class="s1">(3)</span></li> <li><span class="s1">(1)</span></li> <li><span class="s1">(1)</span></li> <li><span class="s1">(4)</span></li></ol> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1">31744</span></p> <p><span class="s1"></span> </p> <p><span class="s1">1. Paolo è in un negozio che vende cappelli al mercato.</span></p> <p><span class="s1">2. Paolo parla con il commerciante.</span></p> <p><span class="s1">3. sta comprando un cappello.</span></p> <p><span class="s1">4. il cappello costava trenta euro all'inizio.</span></p> <p><span class="s1">5. il cappello costa venticinque Euro alla fine.</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">33434</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">Elena</span></li> <li><span class="s1">Giovanni</span></li> <li><span class="s1">Carla</span></li> <li><span class="s1">Giovanna</span></li> <li><span class="s1">Mario</span></li> <li><span class="s1">Laura</span></li> <li><span class="s1">Sofia</span></li> <li><span class="s1">Paulo</span></li> <li><span class="s1">Rosa</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="s1">Le ragazze: Andrea, Laura, Valentina, Beatrice, Cristina, Sara, Anna</span></p> <p><span class="s1">I ragazzi: Gregorio, Davide, Franco, Giuseppe, Luca</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1">34448</span></p> <p><span class="s1"></span> </p> <p><span class="s1">6. gli occhiali da sole</span></p> <p><span class="s1">3. il quaderno</span></p> <p><span class="s1">4. la caramelle</span></p> <p><span class="s1">5. il biglietto</span></p> <p><span class="s1">2. il CD</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">Il biglietto costa otto euro.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Il quaderno costa sei euro.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Le caramelle costano nove euro.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Gli occhiali costano venti e quattro euro.</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">37640</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Take Home Test</span></p> <p><span class="s1"></span> </p> <p><span class="s1">1(a) x + 3 = 11</span></p> <p><span class="s1">x = 11 - 3</span></p> <p><span class="s1">x = 8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(b) t - 11 = -5</span></p> <p><span class="s1">t = -5 + 11</span></p> <p><span class="s1">t = 6 <span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(c) 5 x = 20</span></p> <p><span class="s1">x = 4</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(d) -2y = -18</span></p> <p><span class="s1">2y = 18</span></p> <p><span class="s1">y = 9<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(e) x/6 = -5</span></p> <p><span class="s1">x = -5(6)</span></p> <p><span class="s1">x = -30</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(f) y/-3 = 12</span></p> <p><span class="s1">y = 12(-3)</span></p> <p><span class="s1">y = -36 <span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(g) 1/2x = 7</span></p> <p><span class="s1">1 = 2x (7)</span></p> <p><span class="s1">1 = 14x</span></p> <p><span class="s1">x = 1/14</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(h) 3x + 5 = 17</span></p> <p><span class="s1">3x = 17 - 5</span></p> <p><span class="s1">3x = 12</span></p> <p><span class="s1">x = 4</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">-2c + 7 = 11</span></li> </ol> <p><span class="s1">-2c = 11 - 7</span></p> <p><span class="s1">2c = -4</span></p> <p><span class="s1">c = -2<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(j) x/4 - 5 = 2</span></p> <p><span class="s1">x/4 = 2 + 5</span></p> <p><span class="s1">x = (7) (4)</span></p> <p><span class="s1">x = 28</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(k) 2t/3 = -10</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2t = -30</span></p> <p><span class="s1">t = -15<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(l) (y - 4)/2 = 8</span></p> <p><span class="s1">(y - 4) = 16</span></p> <p><span class="s1">y = 16 + 4</span></p> <p><span class="s1">y= 20<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">43514</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5. Draw and label an inhibitor affecting an enzyme reaction:<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">6. What 2 environmental conditions can affect the activity of an enzyme</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Temperature and substrate concentration</span></p> <p><span class="s1"></span> </p> <p><span class="s1">7. The enzyme functions at the optimal pH of 8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">8. The optimal temperature is 35.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">9. When the pH is two, the enzyme is completely inactive.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">10. The optimal pH for intestinal protease is 9.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">11. The optimal pH for gastric protease is 5.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">12. Gastric protease.<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><span class="s1">45737<span class="Apple-converted-space"></span></span></p> <p><span class="s1">Justinian’s code influenced the principles of justice and law in our society because they formed a robust framework for our legal system, and because we continue to believe that parents have power over children, that the law should govern people, and that the law should safeguard the interests of individuals.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">Justinian’s code influenced the principles of justice and law in our society but we no longer observe obsolete laws that prevent women from being witnesses or that continue to enforce slavery.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">Justinian’s code influenced the principles of justice and law in our society so we continue to have laws that enforce the need for witnesses in the making of a testament or will.<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">45742</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Answers in Italian</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">il grande magazzino è in via Tuscolana.<span class="Apple-converted-space"></span></span></li> <li><span class="s1">Laura suggerisce di fare acquisti in una boutique invece.</span></li> <li><span class="s1">Gina ha bisogno di comprare un regalo per la sorella Anna.<span class="Apple-converted-sXXXX"></span></span></li> <li><span XXXXX="XX">XXXX XXX vuole XXXXXX in XXX boutique perché le XXXXXXXX XXXX XXXXX XXXXXXX.</span></li> <li><span class="XX"> Gina XXXXXX di XXXXXXXX un paio di pantaloni.</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Answers in English:<span class="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="XX"></span> </p> <p><span class="XX">1. The XXXXXXXXXX XXXXX XX in via XXXXXXXXX.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">2. Laura suggests XX XXXX XX a XXXXXXXX XXXXXXX.</span></p> <p><span XXXXX="XX">X. Gina needs to XXX a XXXX for her sister Anna.<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">X. Gina does not XXXX to go to a XXXXXXXX because the XXXXXXXXX are very XXXXXXXXX.</span></p> <p><span class="s1">5. XXXX decides to XXX a pair of trousers.</span></p> <p><XX></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">[XXXXX XXXX XX XXX XXXXXXXXXX cannot be XXXXXXXXX as it XX an oral XXXXXXXXXX]</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXXXXXX: XXXX in the XXXXXXXXXXX XXXXXX in XXXXXXX<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">1. Ventitre XXX XXX fanno quarantasei (46)</span></p> <p><span XXXXX="XX">2. XXXXX XXXXXX quattro fa XXXXXXXXXXX (XX)</span></p> <p><span XXXXX="s1">X. Quarantuno piu ventidue fa sessantatre (XX)</span></p> <p><span class="s1">4. Novantasette meno cinquantanove fa XXXXXXXXX (38)</span></p> <p><span class="XX">X. XXXXXXX diviso XXX XX XXXXXXXX (XX)</span></p> <p><span class="s1">6. XXXXXXXXXXX meno trentuno XX XXXXXXXXXXXX (35)</span></p> <p><span class="s1">7. XXXXXXXXXXXX diviso ventotto fa XXX (2)</span></p> <p><span XXXXX="XX">X. XXXXXXXXXXX XXX XXXXXXXXXXXXX XX XXXXXXXXX (XX)</span></p> <p><span XXXXX="XX">X. Sette XXX XXXX fanno fanno XXXXXXXXXXXX (XX)</span></p> <p><span class="XX">10. XXXXXXXX XXX sei fa novanta (XX)</span></p> <p><XX></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">46915</span></p> <p><span class="XX"></span> </p> <ol> <li><span class="XX">B.<span class="Apple-XXXXXXXXX-space"> </span>XXX XXXXXXX XXXXXXXX XX in XXXX XXXXXXXX mechanism is XXXXXXX. The XXXXXX XX (B)</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="XX">X.<span XXXXX="XXXXX-converted-space"> </span>The answer is (B) feedback XXXXXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">X. The answer XX (X)</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">X. XXX XXXXXX is (D)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">5. XXX answer is (X)</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">X. XXX answer XX (A)</span></p> <p><XX></p> <p><span XXXXX="s1">XXXXX</span></p> <p><span class="XX"></span> </p> <ol> <li><span XXXXX="s1">Quanto costa il vestito?</span></li> </ol> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XX vestito costa quaranta euro.</span></p> <p><span class="s1">2. Quanto costano la camicia, la XXXXXXXX, i XXXXXXXXX e la XXXXXX? (cannot XX answered because the prices are blurred)</span></p> <p><span class="s1">3. XXXXXX costano i XXXXX e il maglione?<span class="XXXXX-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="XX">Il XXXXX e il XXXXXXXX costano centocinque XXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">4. Quanto XXXXXXX la camicietta e la XXXXX? (XXXXXX be answered XXXXXXX the XXXXXX are XXXXXXX)</span></p> <p><span XXXXX="XX">5. Quanto XXXXXXXX il parka, i XXXXXX e la sciarpa? (cannot be XXXXXXXX XXXXXXX the XXXXXX are XXXXXXX)</span></p> <p><span class="s1"></span> </p> <p><br></p> <p><br></p> <p><span XXXXX="s1">XXXXX</span></p> <p><span class="XX">XXXXX : I numeri: Quanti anni XXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">uno, <XXXXXX>due, </strong>XXX <XXXXXX>quattro</strong> XXXXXX <XXXXXX>XXX</strong> XXXXX <XXXXXX>otto </XXXXXX>XXXX <strong>dieci<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></strong></span></p> <p><span XXXXX="s1">undici <strong>XXXXXX </strong>XXXXXXX <XXXXXX>XXXXXXXXXXX </strong>XXXXXXXX <XXXXXX>sedici</XXXXXX></span></p> <p><span class="s1"><strong>d</XXXXXX>XXXXXXXXXX<span class="XXXXX-converted-space"> </span><strong>diciotto </strong>XXXXXXXXXX <strong>XXXXX</strong></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"><XXXXXX>[The next XXXXXXXX XXXXXX XX XXXXXXXXX XXXXXXX it XX an oral XXXXXXXX]</strong></span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXX. Topic: I XXXXXX XXXXXXXXXX</span></p> <p><span class="XX"></span> </p> <ol> <li><span XXXXX="s1">590 - XXXX: XXXXXX nove XXXX - tre XXX sei quattro<span class="Apple-converted-XXXXX"></span></span></li> <li><span class="XX">XXX - XXXX: otto XXXXXXX tre - sette XXXX XXX uno</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X. <strong>[The XXXX activity XXXXXX XX XXXXXXXXX because it XX an XXXX exercise]</strong></span></p> <p><span XXXXX="XX"></span> </p> <p><XX></p> <p><XX></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXX</span></p> <p><span XXXXX="XX">Biology Lab XXXX D QUESTIONS</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">1.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">Increased XXXXX flow XXXXX XXXXXX cells XXXXXXX more energy because blood delivers the products XXXXXX for XXX cell to XXXXXXX catalytic XXXXXXXXX, XXXX XX XXXXXX, XXXXXXXXX, vitamins, minerals XXX XXXXXXX.<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="XX"></span> </p> <p><span class="s1">X.</span></p> <p><span class="s1">The two XXXXXXXXX may be of a XXXXXXXXX XXXXX XXXXX XXX indicator XXX been XXXXX XX both.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">3.<span class="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1">Pair X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXX endocrine system, alongside the XXXXXXXXXXX XXXXXX, helps to secrete hormones XXX regulate XXXXXX processes. It XXXXXXXX XX XXX pituitary gland, the XXXXXXX XXXXX ,the pancreas, XXX adrenal glands XXX the testes (or XXXXXXX in females). XXX secretions XX XXX endocrine XXXXXX are XXXXXXXXXXX through XXX veins and arteries XX the XXXXXXXXXXX XXXXXX, where they travel XXX act at various XXXXXX XXXXX in XXX body. XXXXX help to maintain XXXXXXXXXXX in an individual, by secreting XXXXXXXX XXXX regulate bodily characteristics XXXX XX XXXXXXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Base your answers to XXXXXXXX 4 and 5 on the XXXXXXXXXXX XXX XXXX table XXXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">X. As XXXXXXXX XXXXXXXXX, XXXXX XXXX XXXXXXXXX.</span></p> <p><span class="XX">5. XXX XXXXXXXXXXXXX XXXXX XX XXXXXXXX by XXXXXXXXXX the sample XXXX XX XXX experiment XX XXXXXXX more students, as XXXXX rates XXXXXX XX XXXXXXX. The students could also sample a XXXXXX XXXXXXX XX activities, XXXX XX XXXXXXXX or XXXXX down states.</span></p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">X. (1)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">7.<span XXXXX="Apple-XXXXXXXXX-space"> </span>The histogram XXXXXXXX XXXX XXXX 3+4+6+7+X+3 = 27 XXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="s1">8. A pulse XXXX XXXXX XX would prevent the efficient XXX XXXXXX circulation XX XXXXXXXXXX hormones that regulate XXXXX levels, XXXXXXXXXXX, XXXXXX XXXXXXX levels and XXXXX internal XXXXXX XXXXXXXXXX, XXXXXXX hormones XXXXX XXX XX able to reach the active XXXXX in XXXX.XXXX would XXXX XXXX XXX XXXXXXX XXX process of homeostasis.<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">9. XXX XXXX would XXXXXXX higher pulse rates across the whole XXXXXXXX of XXXXXXX XXXXX rates (in other words, XXX XXXXX XXXXX XXXXX up).</span></p> <p><br></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">03039</span></p> <p><span XXXXX="XX"></span> </p> <ol> <li><span class="s1">Marina vuole acquistare un dizionario italiano-XXXXXXX.</span></li> <li><span XXXXX="XX">Questo della Gilberti XXXXX XXXXXXXXX euro</span></li> <li><span class="s1">XXX XXX lo XXXXXX perché costa troppo</span></li> <li><span class="XX">XXXXXX XX dizionario più economico che XXXXX tredici euro e XXXXXXXXX centesimi.</span></li> <li><span class="s1">È XXXXX XXXXXXXXXX di pagare XXXX XXXXXXXX.</span></li><li></li> </ol> <p><span class="XX">XXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Evidence XX Islamic practices</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXXXXX XXXXXX the Fasting Version</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXXXXXXX in the margins:</span></p> <p><span XXXXX="XX">“XXX XXXXXXXX&XXXXXX; are to ward XXX temptation”</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">“Since I get thirsty, I don’t want to play that much.”</span></p> <p><span XXXXX="XX"> “He XXX XXXXXX XXXX XXXXX XX sundown each day since XXX holiday started XXX 11.”</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">“XXX: jaunts XX XXX beach (XXX thirst XXXXXXXX). XXX: XXXXX XXXXX XXXX friends. XXX: playing basketball XXX XXXXX.”</span></p> <p><span class="XX"></span> </p> <p><span class="s1">“ XXXXX the fast began… [XXXX] XXXX stayed up XXXXX XXX early XXXXX of the XXXXXXX so XXXX XXXXX XXXXX through many of the hours XX XXXX. “</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">“XX plays XXXXX XXXXX XXX XXXXXXX videos XXXXX about 6am, then XXXXXX XXXXX 3pm, XX XXXXX time the evening breakfast XXXXXXX is in XXXXX.”</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">“The XXXXX women said they XXXXX XXXXX fasting days XXXXXX.”</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Author: XXX XXXX XXXXX, XXXXX XXXXXXX</span></p> <p><span class="s1">Point XX View: XXXXXXX, investigative XXXXXXXXXX</span></p> <p><span class="s1">XXXX XXX was XXXXXXX: 2010-8-21</span></p> <p><span class="s1">XXXXXXX: XXXXXXXXXXX XXXXXXXXXX, education, XXXXXXXXXXXXX</span></p> <p><span class="XX">Audience: General public</span></p> <p><span XXXXX="XX">This XXXXXXXX is XXXXXXXX XXXXXXX it was published by a XXXXXXX newspaper with trained XXXXXXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXXX XXXX this XXXXXXX show us about being a XXXXXX XXXXXX the XXXX month of Ramadan?</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXX evidence XXXX the article:</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX" <XXX="" article="" suggests="" XXXX="" muslims="" need="" XX="" observe="" XXXXXXX="" (or="" XXXXXXXXXX="" from="" food)="" sunrise="" sundown,="" which="" includes="" food="" and="" water.="">span class="XXXXX-XXXXXXXXX-XXXXX"></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXX:<span class="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX" <XXXX="" article="" shows="" that="" the="" XXXXXXX="" practice="" during="" XXXXXXX="" prevents="" muslims="" XXXX="" XXXXXXXX="" in="" XXXXXXX="" social="" activities="" XXXX="" XX="" going="" out="" to="" beach,="" XXX="" XXXXX="" XX="" thirst="" and="" hunger.="" XXXX="" how="" some="" muslim="" youth="" XXXXXX="" their="" sleeping="" patterns="" XXX="" XXXXX.="">span class="Apple-XXXXXXXXX-XXXXX"></span></p> <p><XX></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXX/05729</span></p> <p><span class="s1"></span> </p> <p><span class="s1">The XXXX of Gilgamesh is an ancient XXXX and Sumerian XXXX with XXXXXXXXXX XXXXXXXX merit, that XXX XXXX XXXXXXX XXX centuries. This essay XXXX analyse XXX XXXXXXX XXXX the Epic of Gilgamesh XXXX regard XX XXXXX XXXXXX: XXX XXXXXXXXXX of government, XXX XXXXX-rural XXXXXX and the XXXXXX of women.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXX, the XXXXXXX shows how a cruel XXXX, XXXXXXXXX, XXXXXX XXX people to XXXXX a great wall around the XXXX and made XXX people restless. XX a result, XXX people XXXXX out for mercy, but XXXXXXXXX was XXXXX and XXXXXX, XXX so did XXX XXXXXX to the suffering of his people. The XXX XXX created a XXXXXXXXXX, Enkidu, XX a result.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">This demonstrates how good government XXXXXX always XX in XXXXXXXXXX with XXX XXXX of the XXXXXX, and XX XXXXXXXXXX XX XXXXX XXXXX. XXXXXXXXXXX XXXXXX XXX XXXXX today frequently neglect the XXXXX of their XXXXXX, XXX in so XXXXX, create rebellious populations XXX the seeds XX XXXXX own demise.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXXXXX, XXX Epic of Gilgamesh demonstrates the differences between Gilgamesh, who is a cold-XXXXXXX XXXXX raised XXXXX XXXXX XXXXXXXX, and XXX rival Enkidu, who is XXXX hearted XXX raised in XXXXXX. XXXX demonstrates XXX XXXXXXXXXX between XXXXXX XXX XXXX up in urban environments XXX people XXX XXXX XX in rural XXXXXXXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Finally, the XXXXXXX gives its readers a XXXX as XX the status XX XXXXX in XXXXXXX XXXXXXXXXXXX and XXXXXXXX society. Shamhat XX only given worth and XXXXXX as an individual XXX seduces XXXXXX XXXXXXX her XXXXXXXXX and charm. This may XXXXXXXX that ancient societies XXXXXXXXXXXXX saw women XX symbols of attraction, and as objects XX XX used.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><br></p> <p><span XXXXX="s1">XXXX</span></p> <p><span class="s1"></span> </p> <p><span class="s1">7.<span XXXXX="Apple-converted-space"> </span>XXXXXXXX<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX">Blood XXXXXXX XXXXXXXXXXXXX over time (x = time(h), y = blood XXXXXXX XXXXXXXXXXXXX)<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">8. One likely XXXXX for the change in blood glucose concentration XXXXXXX XXXX 16 and XXXX 24 is the digestion XXX XXXXXXXXXXXXXX of XXXX during resting XXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">X. The blood glucose XXXXXXXXXXXXX change should XXXX XXXX XXXX pronounced (ie. XXX drop in blood XXXXXXX or XXXX in XXXXX XXXXXXX XXXXX have XXXX XXXXXXX)</span></p> <p><span class="XX"></span> </p> <p><span class="s1">10.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">XXX XXXXXX is Row 1 (X = XXXXXXXXX, Y = XXXXXXXXXX)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">11.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1">(X) making XXXX hormone B, only</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">12.</span></p> <p><span XXXXX="s1">(3) reduce XXX XXXXXXXXXXXX intake in body system X</span></p> <p><span class="s1"></span> </p> <p><span class="XX">13.</span></p> <p><span XXXXX="s1">(4) XXXXX XX XXXXXXXX the XXXXXXXXX of hormone A</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><XX></p> <p><XX></p> <p><span XXXXX="XX">06636</span></p> <p><span XXXXX="s1"></span> </p> <ol> <li><span XXXXX="XX">Yes.</span></li> <li><span class="XX">XXX.</span></li> <li><span class="s1">Yes.</span></li> <li><span XXXXX="s1">XXXXX law XXXX? - I agree XXXX XXX code X XX it lays down XXXXX XXXXX XXX XXXXXXXXXXXX XXX XXXXXXXX which prevent XXXXXXX conflict and XXXXX.</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="XX">Historic context</span></p> <p><span XXXXX="XX">Who: XXXXXXXXX</span></p> <p><span XXXXX="XX">XXXX: XXXXXXXXXXX XX Justinian’s reign, XXXXXXXXX, legal XXXXXX and political achievements</span></p> <p><span XXXXX="XX">XXXX: XXXXX century</span></p> <p><span class="XX">Why: XXXX to consolidate XXX XXXXXXX XXX expanding XXXXXXXXX XXXXXX, to XXXXX his XXXXXX XXX provide a XXXXX of stability XXX his people.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Step 3</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Who: Justinian</span></p> <p><span class="XX">XXXXX: Byzantine Empire</span></p> <p><span class="s1">XXX:<span XXXXX="XXXXX-converted-XXXXX"> </span>XXXXXXX XXXXXXX law, appointed XXXXXXX in XXX Eastern Orthodox Church, XXXXXXXXX a XXXXXXXXXXX XXXXXXXXXX, XXXXXXXXX lands, XXXXXXX XXXXXXXXX’s Code which XXXXXXXX XXXX XX XXXXXXXX, slavery, property, XXXXXXXXX, XXXXX’s XXXXXX and XXXXXXXX XXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Scenario X: Same punishment? NO.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Scenario 2: XXXX punishment? XX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Scenario 3: XXXX punishment? NO.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><br></p> <p><span class="XX">08031</span></p> <p><span class="s1"></span> </p> <p><span class="s1">First XXXX XXX XXXX; could XXX be completed.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">C. XXXXXXXXXXXXXXX.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span class="XX">X. è la fronte.</span></p> <p><span XXXXX="s1">X. XXXXXX sono i piedi.</span></p> <p><span class="XX">X. è la bocca.</span></p> <p><span XXXXX="XX">X. questi sono gli occhi.</span></p> <p><span XXXXX="XX">X. X la XXXXXX.</span></p> <p><span class="s1">X. XXXXXX XXXX le XXXX.</span></p> <p><span XXXXX="XX">7. questo X lo XXXXXXX.</span></p> <p><span XXXXX="s1">X. X XX XXXXX.</span></p> <p><span XXXXX="s1">X. XXXXXX X la vita.</span></p> <p><XX></p> <p><span class="s1"></span> </p> <p><span class="s1">83646</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXXX XXXXXXX</span></p> <p><span XXXXX="s1">XXXXXX XXXXX?</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXXXXX A</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">1.XX caffe decaffeinato XXXXX novanta centesimi<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="s1">X. XX caffe XXXXXX XXXXX XXXXXXXXXXXXX XXXXXXXXX</span></p> <p><span class="s1">X. XX XXXXXXXXX XXXXX un XXXX e venti</span></p> <p><span class="XX">4. Un XXXXXXXXXX in tazza costa un XXXX e XXXXXXXXX</span></p> <p><span XXXXX="XX">5. Un te costa un euro e XXXXXX</span></p> <p><span class="XX">6. XX XXXXX in bicchiere XXXXX XXXXXXXXXXXXXX centesimi<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX">7. XX XX freddo costa un XXXX</span></p> <p><span XXXXX="XX">8. XX bibita in XXXXXXX costa XX euro e novanta</span></p> <p><span XXXXX="s1">X. I succhi di frutta XXXXX due euro e XXXXX</span></p> <p><span class="s1">10. XX spremute di agrumi costa due euro e XXXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Exercise B</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XX XXXXXXXXX XXX il Gran XXXXXXXX costa XXXXXXXX XXXXXXX</span></p> <p><span class="s1">Un biglietto XXX il XXXXXXXXXX costa un mille diciannove</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XX biglietto per XX Grecia XXXXX XX XXXXX XXXXXXXX trentanove euro.<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="s1">Un biglietto XXX XX XXXXXXX costa ottocento XXXXXXXXXXXXXX euro.</span></p> <p><span class="XX">Un XXXXXXXXX XXX XX Spagna XXXXX un XXXXX XXXXXXXX ventinove.</span></p> <p><span class="s1">XX XXXXXXXXX XXX il XXXXXXX XXXXX novecento XXXXXXXXXXXX.<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">XX biglietto XXX il XXXXXXXX costa un mille centouno diciannove</span></p> <p><span XXXXX="s1">Un XXXXXXXXX per XX XXXXXX XXXXX un mille XXXXXXXXXXXXXX</span></p> <p><XX></p> <p><span XXXXX="s1">XXXXX</span></p> <p><span XXXXX="s1">XXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="s1">Rispondi XXXX domande</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X.La XXXXXXX e XX XXXXX XXXXXXX trentanove euro o trentanove XXXXXXX.<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="XX">2. Il XXXXX e XX XXXXXXXX costano diciotto XXXX o XXXXXXXX XXXXXXX.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1">X. La XXXXXXX, il cappello ed i XXXXXXXXX costano sessantanove euro o sessantanove dollari.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">4. Gli stivali costano cento XXXX o cento XXXXXXX.<span class="XXXXX-converted-space"></span></span></p> <p><span class="s1">5. Con XXXXXXXXXXXXXXXX XXXX, posso XXXXXXXX tutto XXXXXX gli XXXXXXX.</span></p> <p><span class="XX"></span></p> <p><span class="XX"></span> </p> <p><span class="XX">1. Il resto è di XXX euro e XXXXXXXX centesimi.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">X. XX resto è di XXXXXX centesimi.<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1">3. XX resto X di novanta XXXXXXXXX.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">4. Il XXXXX X di sei XXXX e XXXXXXXXXXXXXXX centesimi.<span class="XXXXX-converted-space"></span></span></p> <p><span class="s1">X. Il XXXXX è di dodici XXXX e XXXXXXXXXX XXXXXXXXX.<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="s1">X. XX resto è di XXXXXXXXXXXX centesimi.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <ol> <li><span XXXXX="s1">XX XXXXXXXXXXX costa XXXXXXXXXXXXXXXXX euro.</span></li> <li><span class="XX">X'XXXXXXXXXX costa XXXXXXX cinquecento XXXX.</span></li> </ol> <p><span class="s1">3. La XXXXXXXX XXXXXXXXXXX XXXXX XXXXXXXXXXXXXXXXXXX XXXX.</span></p> <p><span XXXXX="s1">X. Il divano XXXXX XXXXXXX euro</span></p> <p><span class="XX">X. La XXXX costa quattrocentomila euro.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><br></p> <p><span XXXXX="XX">95824</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXXXX XXXXX and years</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">è l'XXXX duemila diciotto</span></p> <p><span class="s1">XXXX l’XXXX XXXXXXX XXXXXXXXXX nel XXXXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <ol> <li><span class="XX">XXXX nato nel XXXXXXXXXXXXXX XXXXXXXXXXXXXXXX 1954</span></li> <li><span XXXXX="XX">Sono XXXX nel XXXXXXX XXXXXXXXXXX XXXX</span></li> <li><span class="s1">Sono XXXX XXX millenovecento settantacinque XXXX</span></li> <li><span XXXXX="s1">Sono nato nel millenovecento sessantasei1966</span></li> <li><span class="s1">XXXX nato XXX duemila XXXX XXXX</span></li> <li><span XXXXX="XX">XXXX nato XXX XXXXXXXXXXXXXX trentatre XXXX</span></li> <li><span XXXXX="XX">XXXX nato nel XXXXXXXXXXXXXX novantuno1991</span></li> <li><span XXXXX="XX">XXXX XXXX nel XXXXXXX uno 2001</span></li> <li><span class="XX">Sono XXXX nel XXXXXXXXXXXXXX ottanta 1980</span></li> <li><span XXXXX="Apple-tab-span"> </span>XX.<span XXXXX="XX">XXXX XXXX XXX XXXXXXXXXXXXXX tredici 1913</span></li> </ol> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">X l'anno duemila diciotto</span></p> <p><span XXXXX="s1">Carlo e nata nel millenovecento ottanta. Ha anni XXXXXXXXX</span></p> <p><span class="XX">XXXXXXX e XXXX nel millenovecento cinquantotto. Lei XX anni XXXXXXXX</span></p> <p><span class="s1">XXXXXX e XXXX nel XXXXXXXXXXXXXX cinquantacinque. Lei XX anni XXXXXXXXXXX</span></p> <p><span XXXXX="s1">XXXXXXX e XXXX XXX XXXXXXXXXXXXXX XXXXXXXX. XX XXXX XXXXXXXXXXXX</span></p> <p><span class="s1">Monica e XXXX nel XXXXXXXXXXXXXX ottantuno. Lei ha anni XXXXXXXXXXX</span></p> <p><span XXXXX="s1">XXXXXXX e XXXX XXX XXXXXXXXXXXXXX XXXXXX. Ha XXXX ottantotto</span></p> <p><span class="XX">Lucia e nata XXX millenovecento XXXXXXXXX. Lei XX XXXX XXXXXXXXXXX</span></p> <p><span class="s1">Silvia e nata XXX XXXXXXXXXXXXXX XXXXXXXXXXXX. XXX ha anni XXXXXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><XX></p> <p><XX></p> <p><span class="XX"></span> </p> <p><span class="XX">317Section1ExpressionsWorkbook.pdf</span></p> <p><span class="XX">Section X: Expressions</span></p> <p><span XXXXX="XX">XXXXXXX X - Topic 1</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">a.<span XXXXX="XXXXX-converted-space"> </span>XXXXXX Island XXXXX complete XX x X = XXX trips</span></p> <p><span XXXXX="s1">b. Staten XXXXXX would XXXXXXXX XXX XXXXX each XXX</span></p> <p><span XXXXX="s1">c. East XXXXX XXXXX would complete 32 x X = XXX trips</span></p> <p><span XXXXX="s1">d. XXXX XXXXX XXXXX would XXXXXXXX XXX trips XXXX day</span></p> <p><span XXXXX="s1">e. XXXXX is given XX XXX + 32x = XXX<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">f. XXXXX XX given XX 58(5) + 32(5) = 90(X) = 450</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXX’s practice</span></p> <p><span XXXXX="XX">1. a. Let console XX c, games XX g. 299c + XX.99g</span></p> <p><span XXXXX="XX">b. (1)(299) + XX.99(X) = 478.97</span></p> <p><span XXXXX="XX">c. Let XXXXX XXXXXXXXXX be e.<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">Equation is given XX 299 c + XX.99 g + XX.99 e</span></p> <p><span XXXXX="s1">d. Cost is given by</span></p> <p><span class="XX">XXX c + XX.99 g + 29.XX e</span></p> <p><span class="s1">299(X) + 59.XX(X) + XX.99(X) = 538.XX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXX It!</span></p> <p><span class="s1">2. Let tickets be t, XXXXX XXXXXXX be w, pretzels XX p.</span></p> <p><span class="s1">Equation XX XX.XX+ 3.XX + XX</span></p> <p><span class="XX">XXXXXXXXXXX XX XX.5, 3.5, 5.</span></p> <p><span XXXXX="s1">Variables are t, w, p.</span></p> <p><span class="XX">XXXXX XXX no constant XXXXX.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">3. a. y = 10p + XXX, XXXXX p = pounds and o = XXXXXX</span></p> <p><span XXXXX="s1">b. x < y as Ramiro must use less XXXX or equal XX XXX XXXXX XXXXXX XX XXXX he XXX on XXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Beat the XXXX!</span></p> <ol> <li></li> </ol> <p><span class="XX">KKP: cost = 175+ 7 x 2 x k = 175 + 14k<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1">EHP: cost = XXX</span></p> <p><span XXXXX="XX" <XXX="" XXXXXXX="" XXXXXXX="" are="">span class="Apple-converted-space"></span></p> <p><span class="s1">[] XXX XXXXXXXXXX XXX XXXXXXXXXX the total XXXXXX for XXX</span></p> <p><span class="s1">[] XX Jose hires the painters XXX 10 XXXXX, then EHP would be XXXXXXX (XX. in XXXX case, EHP is XXX)</span></p> <p><span class="s1">[] If XXXX XXXXX the XXXXXXXX for 20 XXXXX, XXXX XXX XXXXX XX cheaper (XX. in XXXX XXXX, KKP is 455 and EHP is XXX)</span></p> <p><span class="s1"></span> </p> <p><span class="s1">X. B</span></p> <p><span class="XX">Hand pickers equation: 0.XX (XXXX)</span></p> <p><span XXXXX="s1">XXXXXXXXX equation: 0.90 (22000m)</span></p> <p><span XXXXX="s1">Combined XXXXXXXX: X.95 (200h) + X.XX (22000m)</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Answer is X.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">Section 1 XXXXX 2: XXXXXXXXX XXXXXXXXXXX Using XXXXXXXXXXXX Property</span></p> <p><span class="s1">XXXXX on the above distribution:</span></p> <p><span class="XX">(a + 3) (a + X) = a</span><span XXXXX="s2"><sup>2 </sup></span><span class="s1">+ XX + XX + X =<span class="XXXXX-XXXXXXXXX-space"> </span>a</span><span XXXXX="s2"><XXX>2 </XXX></span><span class="XX">+ 5a + 6</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXX’s practice!</span></p> <p><span XXXXX="s1">1.</span></p> <p><span class="s1">3(x + XX - 7z)<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">XXXXX distribution:</span></p> <p><span class="s1">XX + 6y - 21z</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXX modelling:</span></p> <p><span XXXXX="s1">X <strong>x </strong>x = 3x</span></p> <p><span class="s1">3 <XXXXXX>x </strong>XX = 6y</span></p> <p><span XXXXX="XX">X <XXXXXX>x -</XXXXXX>7z =<strong> -</strong>21z<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">XXX XXXX up XX get XXX same XXXXXX:</span></p> <p><span class="XX">XX + XX - XXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">2.</span></p> <p><span class="XX">XXXXX modelling:</span></p> <p><span XXXXX="s1">XXX XXXX XX XX XXX:</span></p> <p><span XXXXX="s1">(x - X) (x - 2)</span></p> <p><span class="s1">= x</span><span class="s2"><XXX>X </sup></span><span XXXXX="XX">-XX + 6</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Using distributive property:</span></p> <p><span class="XX">(x - X) (x - X)</span></p> <p><span class="XX">= x</span><span class="s2"><sup>2 </XXX></span><span class="s1">-XX + X</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXX XX!</span></p> <p><span XXXXX="XX">X. Using XXXXXXXXXXXX property</span></p> <p><span class="XX">(m+5) (m - 3)</span></p> <p><span class="XX">= m</span><span XXXXX="s2"><sup>2 </sup></span><span class="s1">-3m + 5m - XX</span></p> <p><span XXXXX="XX">= m</span><span XXXXX="XX"><sup>2 </sup></span><span class="XX">+ 2m - XX</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXX XXX Test!</span></p> <p><span XXXXX="XX">X.</span></p> <p><span class="s1">Student 1:<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="XX">(x - 5) (x - 2)</span></p> <p><span XXXXX="s1">= x</span><span XXXXX="XX"><XXX>X </XXX></span><span XXXXX="XX">-2x - 5x + XX</span></p> <p><span XXXXX="s1">Student XXXXXX to XXXXXXXX XXXXXX XXXXXXXXXXX, directly multiplying XXXXX XXXX once, and XXXXXX out -2x XXX -5x as a XXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Student 2:</span></p> <p><span XXXXX="XX">(x-X) (x - 2)</span></p> <p><span XXXXX="XX"><span class="XXXXX-XXXXXXXXX-XXXXX"></span>= x</span><span XXXXX="s2"><XXX>X </sup></span><span class="XX">-XX - XX + 10</span></p> <p><span XXXXX="s1">= x</span><span class="XX"><sup>2 </XXX></span><span XXXXX="s1">-XX + XX</span></p> <p><span class="XX">Student XX correct!</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Student X:</span></p> <p><span XXXXX="XX">Student XX incorrect.</span></p> <p><span XXXXX="XX">Student XXXXXX that - XXX -, XXXX multiplied, yields a XXXX. XXXXXXX XXXXXXXXX has XXX XXXXX XXXX XXX the XXXXXXXX XX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span></p> <p><span class="XX">XXXXXXX 1 - Topic X</span></p> <p><span XXXXX="s1">X + 2 = X</span></p> <p><span class="XX">2 + 5 = X</span></p> <p><span XXXXX="s1">XXX XXXXXXXX, it XXXX XXX matter.</span></p> <p><span XXXXX="XX">X x 2 = XX</span></p> <p><span XXXXX="XX">X x 9 = 18</span></p> <p><span class="s1">For XXXXXXXXXXXXXX, it XXXX XXX matter.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">&XX; XXX order of XXX numbers XXX be <XXXXXX>manipulated </XXXXXX>XXXXXXX affecting XXX <strong>XXXXXX </XXXXXX>or <XXXXXX>XXXX</XXXXXX></span></p> <p><span XXXXX="XX"><XXXXXX>> </strong>If a and b XXX real XXXXXXX, then a + b = a + b and a x b = ab</span></p> <p><span class="s1"></span> </p> <p><span class="s1">The commutative XXXXXXXX XXXX not XXXX XXXX XXX XXXXXXXX and XXXXXXXXXXX:</span></p> <p><span XXXXX="s1">2/3 = X.6666, whereas X/2 = X.5</span></p> <p><span XXXXX="XX">2 - X = -1, XXXXXXX 3 - X = X</span></p> <p><span XXXXX="XX">XXXXXXXXX results are obtained.<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXXXXXXX X + X + X.<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">2 + 4 + 6 = XX</span></p> <p><span XXXXX="s1">(2 + X) + X = 12</span></p> <p><span XXXXX="s1">2 + (4 + 6) = 12</span></p> <p><span XXXXX="XX">XXXXXXXXXXX do XXX change the sum.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXXXXX X . 6 . 4.</span></p> <p><span class="XX">X . X . 4 = 72</span></p> <p><span XXXXX="XX">X . (X . 4) = XX</span></p> <p><span XXXXX="XX">(3 . X) . X = XX</span></p> <p><span class="s1">XXXXXXXXXXX do not XXXXXX XXX XXX.</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXXX XX the <strong>associative property</XXXXXX></span></p> <p><span XXXXX="s1">The XXXXXX XX XXX numbers does not change.</span></p> <p><span XXXXX="XX">The XXXXXXXX XX the XXXXXXX can XXXXXX XXX does not affect the result or sign.</span></p> <p><span XXXXX="s1">XX &XXXXXX;. Then (a+b) + c = a + b + c and (ab)c = abc.</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXX associative XXXXXXXX does not hold XXXX XXX XXXXXXXX XXX XXXXXXXXXXX:</span></p> <p><span XXXXX="XX">40 ÷ XX ÷ 2 = X</span></p> <p><span class="s1">40 ÷ (10 ÷ 2) = 40 ÷ X = X</span></p> <p><span class="XX">(40 ÷ XX) ÷ X = 2</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">40 - 10 - X = XX</span></p> <p><span class="XX">40 - (XX - X) = 32</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXX’s practice!</span></p> <p><span class="s1">X.<span class="Apple-converted-space"></span></span></p> <ol> <li><span class="XX">Associative property</span></li> </ol> <p><span class="s1">b. XXXXXXXXXXX<span class="XXXXX-XXXXXXXXX-space"> </span>property</span></p> <p><span XXXXX="s1">c. Associative property</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1">a. XXXXXXXXXXX and XXXXXXXXXXX XXXXXXXX (there is both XXXXXXXXXXX XXX XXXXXXXXXXX of XXXXX)</span></p> <p><span class="XX">b. Associative property</span></p> <p><span class="XX">c. XXXXXXXXXXX XXXXXXXX</span></p> <p><span class="s1">d. Commutative XXX associative XXXXXXXX (XXXXX XX both parenthesis XXX XXXXXXXXXXX XX terms)</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">X.</span></p> <p><span class="XX">(3x) (2y) = X (x . 2) y<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>associative property</span></p> <p><span class="s1">= 3 (2 . x) y<span XXXXX="XXXXX-converted-space"> </span>commutative XXXXXXXX</span></p> <p><span class="XX">= (X . 2) (x . y) <span class="XXXXX-converted-XXXXX"> </span>associative property</span></p> <p><span XXXXX="s1">= XXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXXX the Test!</span></p> <p><span XXXXX="s1">X.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <ol> <li><span XXXXX="XX">XXXXXXXXXXX XXXXXXXX XX XXXXXXXX</span></li> </ol> <p><span XXXXX="s1">2. XXXXXXXXXXX XXXXXXXX XX addition</span></p> <p><span class="s1">X. XXXXXXXXXXXX XXXXXXXX of multiplication</span></p> <p><span XXXXX="XX">X. XXXXXXXXXXX XXXXXXXX of XXXXXXXX</span></p> <p><span XXXXX="s1">X. XXXXX an equivalent XXXXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Section X - XXXXX X</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">X</span><span XXXXX="s2"><sup>X </XXX></span><span XXXXX="XX">= XX</span></p> <p><span class="s1">2</span><span class="XX"><XXX>3 </XXX></span><span XXXXX="XX">= X</span></p> <p><span class="s1">2</span><span class="XX"><sup>2 </XXX></span><span XXXXX="XX">= 4</span></p> <p><span class="s1">2</span><span XXXXX="s2"><sup>X </sup></span><span XXXXX="XX">= X</span></p> <p><span XXXXX="XX">Each XX half XX the XXXXXXXX sum (divided XX X each XXXX)</span></p> <p><span XXXXX="XX">2</span><span XXXXX="XX"><XXX>0 </XXX></span><span XXXXX="XX">= X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">This XX the zero XXXXXXXX XXXXXXXX</span></p> <p><span class="s1">a</span><span class="s2"><XXX>0 </sup></span><span XXXXX="s1">= X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">Continuing XXX pattern&XXXXXX;</span></p> <p><span class="s1">X</span><span class="s2"><XXX>-1 </sup></span><span class="s1">= 1/2 = X.5</span></p> <p><span XXXXX="s1">X</span><span class="XX"><sup>-2 </sup></span><span XXXXX="s1">= X/4 = X.XX<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"><span XXXXX="Apple-converted-XXXXX"></span>a</span><span class="XX"><XXX>-n </XXX></span><span XXXXX="s1">= X/</span><span class="s2"> </span><span XXXXX="XX">a</span><span class="XX"><sup>n</sup></span></p> <p><span XXXXX="s1">1/a</span><span XXXXX="XX"><XXX>-n </XXX></span><span class="s1">= a</span><span class="s2"><XXX>n</sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s3">2</span><span XXXXX="s1"><sup>3 . </XXX></span><span class="XX">X</span><span XXXXX="XX"><XXX>4<span XXXXX="Apple-converted-space"> </span></XXX></span><span class="XX">= 2</span><span XXXXX="XX"><sup>X</sup></span></p> <p><span class="s3">X</span><span XXXXX="s1"><sup>5 . </XXX></span><span XXXXX="XX">2</span><span XXXXX="XX"><sup>-3<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span></XXX></span><span class="s3">=<span XXXXX="XXXXX-converted-XXXXX"> </span>X</span><span class="XX"><XXX>X</XXX></span></p> <p><span XXXXX="XX">x</span><span XXXXX="s1"><XXX>X . </sup></span><span XXXXX="XX">x</span><span class="s1"><sup>X<span class="XXXXX-XXXXXXXXX-space"> </span></XXX></span><span XXXXX="s3">= x</span><span class="XX"><sup>5</XXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1" <this="" XX="" the="" product="" property:="">span XXXXX="Apple-XXXXXXXXX-XXXXX"&XX;</span></p> <p><span class="XX"></span> </p> <p><span class="s3">a</span><span class="XX"><XXX>m . </sup></span><span XXXXX="s3">a</span><span XXXXX="s1"><sup>n<span XXXXX="XXXXX-XXXXXXXXX-space"> </span></XXX></span><span XXXXX="XX">= a</span><span XXXXX="XX"><XXX>m+n</sup></span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXXXXXXX:</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X</span><span XXXXX="XX"><sup>5 </XXX></span><span XXXXX="s1">/ 4</span><span XXXXX="XX"><sup>X<span class="Apple-XXXXXXXXX-space"> </span></sup></span><span class="s1">= X</span><span class="s2"><XXX>X</sup></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s3">x</span><span class="s1"><XXX>7<span XXXXX="Apple-converted-space"> </span></sup></span><span XXXXX="XX">/ x</span><span class="XX"><sup>X<span class="Apple-XXXXXXXXX-XXXXX"> </span></sup></span><span XXXXX="XX">= x</span><span XXXXX="s1"><XXX>-1</sup></span></p> <p><span class="s1"></span> </p> <p><span class="XX">a</span><span class="s1"><XXX>m </XXX></span><span XXXXX="XX">/ a</span><span class="s1"><XXX>n<span XXXXX="XXXXX-XXXXXXXXX-space"> </span></sup></span><span class="s3">= a</span><span XXXXX="s1"><XXX>m-n</sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">Exponent:</span></p> <p><span class="XX">(5</span><span class="XX"><sup>3 </XXX></span><span XXXXX="XX">)</span><span class="s2"><XXX>2 </XXX></span><span class="s1">= X</span><span class="s2"><sup>X</XXX></span></p> <p><span XXXXX="XX">(y</span><span XXXXX="XX"><sup>X </XXX></span><span XXXXX="s3">)</span><span XXXXX="XX"><XXX>3 </sup></span><span class="s3">= y</span><span class="s1"><sup>XX</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">XXXXX property: (a</span><span class="XX"><XXX>m </sup></span><span XXXXX="XX">)</span><span class="XX"><sup>n </sup></span><span class="s1">= a</span><span XXXXX="s2"><XXX>mn</sup></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">&XXXXXX;</span></p> <p><span class="s1"></span> </p> <p><span class="XX">(X . X) </span><span class="XX"><sup>2 </sup></span><span XXXXX="XX">= (6) </span><span XXXXX="XX"><sup>2 </sup></span><span class="XX">= XX</span></p> <p><span XXXXX="s1">(X . x) </span><span class="s2"><sup>3 </XXX></span><span class="s1">= (4x) </span><span XXXXX="XX"><XXX>X</XXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1" <XXXX="" XX="" XXX="" XXXXX="" XX="" a="" product="" XXXXXXXX:="" (ab)<="" span="">&XX;span class="s2"&XX;<XXX>n </XXX></span><span class="s1">= a</span><span XXXXX="XX"><XXX>n</sup></span><span XXXXX="XX">b</span><span XXXXX="s2"><XXX>n<span class="Apple-converted-space"></span></sup></span></p> <p><span class="XX">= (a</span><span XXXXX="s2"><sup>.</XXX></span><span XXXXX="XX">b)</span><span XXXXX="XX"><sup>n<span XXXXX="Apple-converted-XXXXX"></span></sup></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(20/3) </span><span XXXXX="XX"><sup>2</sup></span><span XXXXX="s1"> = X.XX </span><span class="XX"><XXX>X</sup></span></p> <p><span XXXXX="XX">(6/y) </span><span class="XX"><XXX>2</sup></span><span class="s1"> = 6</span><span class="s2"><XXX>X</sup></span><span class="s1">/y</span><span class="XX"><sup>X</XXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX" <XXXX="" is="" XXX="" power="" of="" a="" quotient="" property:="" (a="" b)<="" span="">>span class="s2"&XX;<sup>n</XXX></span><span class="s1"> = a</span><span class="XX"><XXX>n</sup></span><span XXXXX="s1">/b</span><span XXXXX="XX"><sup>n</sup></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Let’s XXXXXXXX!</span></p> <ol> <li><span class="s1">a.<span XXXXX="XXXXX-converted-space"> </span>3</span><span XXXXX="s2"><sup>3</XXX></span><span XXXXX="XX">. X</span><span XXXXX="XX"><sup>4 </XXX></span><span XXXXX="XX">= 3</span><span XXXXX="s2"><XXX>7</XXX></span><span XXXXX="XX">, (X</span><span XXXXX="XX"><XXX>9</sup></span><span XXXXX="s1">)/(3</span><span XXXXX="XX"><sup>2</sup></span><span XXXXX="s1">) = X</span><span XXXXX="s2"><sup>9-2 </sup></span><span class="XX">= 3</span><span class="XX"><sup>7</sup></span></li> </ol> <p><span XXXXX="s1">XXX XXXXXXXX XX XXXX.</span></p> <p><span class="s1">b. (5 . X</span><span XXXXX="XX"><sup>X </XXX></span><span XXXXX="XX">) </span><span class="s2"><sup>X</XXX></span><span class="s1">= 5</span><span class="s2"><XXX>4 . </sup></span><span XXXXX="s1">X</span><span class="s2"><XXX>X</XXX></span><span XXXXX="s1"> </span><span XXXXX="XX"><XXX>. </sup></span><span XXXXX="XX">(4 </span><span class="s2"><XXX>6 </sup></span><span XXXXX="XX">/ X</span><span XXXXX="XX"><XXX>-X</XXX></span><span XXXXX="s1">)</span><span class="s2"><sup>-1</sup></span></p> <p><span XXXXX="s1">(5 . 4</span><span class="XX"><sup>2 </sup></span><span XXXXX="s1">) </span><span XXXXX="XX"><sup>X</XXX></span><span class="XX">= X</span><span XXXXX="XX"><XXX>X . </XXX></span><span XXXXX="s1">X</span><span class="XX"><XXX>X</sup></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">X</span><span XXXXX="s1"><sup>4 . </sup></span><span XXXXX="s3">5</span><span XXXXX="XX"><sup>0</XXX></span><span class="XX"> </span><span XXXXX="XX"><XXX>. </sup></span><span class="XX">(X </span><span class="XX"><XXX>X </XXX></span><span class="XX">/ X</span><span class="XX"><sup>-1</XXX></span><span XXXXX="XX">)</span><span XXXXX="s1"><XXX>-X </XXX></span><span class="s3">= 5</span><span class="s1"><sup>4 . </XXX></span><span XXXXX="XX">5</span><span class="s1"><XXX>X</XXX></span><span class="XX"> </span><span XXXXX="s1"><XXX>. </XXX></span><span XXXXX="s3">(4</span><span class="s1"><sup>-X </XXX></span><span XXXXX="XX">/ 5</span><span class="XX"><XXX>X</sup></span><span class="XX">) = X </span><span class="s1"><XXX>. </XXX></span><span XXXXX="XX">X</span><span XXXXX="XX"><XXX>-X<span class="Apple-converted-XXXXX"> </span>.<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span></XXX></span><span XXXXX="s3">5</span><span class="s1"><XXX>X </XXX></span><span class="XX">= X</span><span class="XX"><XXX>X </XXX></span><span class="s3">/X</span><span class="s1"><XXX>X</sup></span></p> <p><span class="s1"></span> </p> <p><span class="XX" <XXX="" XXXXXXXX="" is="" false.="">span XXXXX="Apple-converted-XXXXX"></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Try It!</span></p> <p><span XXXXX="XX">A XXXXXXX with XX</span></p> <p><span class="s1">B XXXXXXX XXXX I</span></p> <p><span XXXXX="XX">C matches with XX</span></p> <p><span class="s1">D XXXXXXX with X</span></p> <p><span class="s1">E matches XXXX XXX</span></p> <p><span XXXXX="s1">F XXXXXXX with VI</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXX XXX XXXX!</span></p> <p><span class="XX">1. Part A:</span></p> <p><span XXXXX="s1">Crosby XX XXXXXXX. XXXXXXX 3 x X x X x 3 x 3 = 3 to the power XX 5.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">2. Adam is XXXXXXX. XXXX is XXXXXXX X to XXX power of 8 XXXXXXX XX 3 XX XXXXX of X is X XX the power XX (8-2) = 6</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">Section X - Topic X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">X </span><span XXXXX="XX"><sup>X/2 </XXX></span><span class="s1">= 3 </span><span XXXXX="s2"><sup>X/X</sup></span><span class="XX"> = 3</span></p> <p><span XXXXX="s1">8 </span><span class="s2"><XXX>X/X </sup></span><span class="s1">= 2 </span><span class="s2"><sup>X/3</XXX></span><span XXXXX="XX"> = 2</span></p> <p><span class="s1"></span> </p> <p><span class="XX">The XXXXXXX XX XXXX they all XXXXX a XXXXXX XX XXX XXXXX of 1.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">X </span><span class="s2"><sup>X/X </XXX></span><span XXXXX="s1">= </span><span class="s2"><XXX>3</XXX></span><span XXXXX="s1">√X </span><span class="XX"><XXX>2</XXX></span></p> <p><span XXXXX="s1">5 </span><span class="XX"><XXX>X/X </XXX></span><span class="s1">= </span><span class="s2"><XXX>X</XXX></span><span class="s1">√X </span><span class="s2"><XXX>X</sup></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">For XXXXXXXXX that are rational XXXXXXX, XXXX XX a/b , we have x </span><span class="s2"><sup>a/b </sup></span><span XXXXX="XX">= </span><span class="s2"><XXX>b</XXX></span><span XXXXX="s1">√x </span><span XXXXX="XX"><sup>a</XXX></span><span class="s1"> = ( x </span><span class="s2"><XXX>b/a </XXX></span><span class="XX">) </span><span class="XX"><sup>-X</sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">X.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <ol> <li><span XXXXX="XX">(x+2) </span><span XXXXX="XX"><XXX>1/X</XXX></span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span class="s1">b. (x-5) </span><span class="XX"><sup>X/3 </XXX></span><span XXXXX="XX">+X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">X.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <ol> <li><span class="XX">X </span><span class="s2"><sup>1/X </XXX></span><span XXXXX="s1">= X </span><span XXXXX="XX"><sup>2(X/2) </sup></span><span XXXXX="XX">= X<span class="Apple-XXXXXXXXX-space"></span></span></li> <li><span XXXXX="s1">XX </span><span XXXXX="s2"><XXX>X/2 </XXX></span><span XXXXX="XX">= 4 </span><span XXXXX="s2"><XXX>X(X/2) </XXX></span><span XXXXX="s1">= 4</span></li> </ol> <p><span class="s1"></span> </p> <p><span XXXXX="s3">c. X </span><span class="XX"><sup>X/3 </sup></span><span class="s3">= 2 </span><span XXXXX="s1"><sup>(3(X/X)) </sup></span><span XXXXX="XX">= X</span></p> <p><span XXXXX="s1">d. 8 </span><span XXXXX="XX"><sup>X/X </XXX></span><span class="XX">= 2 </span><span class="XX"><XXX>(X(2/3)) </sup></span><span class="XX">= 2</span><span XXXXX="s2"><sup>X </sup></span><span class="XX">= 4</span></p> <p><span class="XX"></span> </p> <p><span class="XX">e. 125 </span><span class="XX"><XXX>X/3 </sup></span><span XXXXX="s1">= 5 </span><span XXXXX="XX"><XXX>X(X/3) </sup></span><span XXXXX="XX">= X</span><span class="s2"><XXX>X </sup></span><span XXXXX="XX">= 25</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">f. 16 </span><span XXXXX="s2"><sup>X/4 </sup></span><span class="s1">= 2 </span><span XXXXX="s2"><XXX>12/4 </XXX></span><span XXXXX="s1">= X </span><span XXXXX="s2"><sup>X</XXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">Try it!</span></p> <p><span XXXXX="XX">XX. √y = y</span><span XXXXX="s2"><sup>1/2</sup></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">3b. 5√y + X = (y+X)</span><span class="s2"><sup>X/X</XXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XX. 49</span><span class="XX"><sup>X/2 </sup></span><span class="s1">= X</span><span XXXXX="s2"><sup>X/X</sup></span><span class="XX"> = 7</span></p> <p><span class="s1"></span> </p> <p><span class="XX">4b. 27</span><span class="XX"><sup>X/3<span class="XXXXX-XXXXXXXXX-space"></span></sup></span><span XXXXX="s1"> = 3 </span><span class="s2"><XXX>3/X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></sup></span><span XXXXX="XX"> = 3</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">4c. XXX </span><span XXXXX="s2"><sup>2/X</XXX></span><span class="s1"> = X </span><span class="s2"><XXX>X/3<span class="XXXXX-converted-XXXXX"></span></XXX></span><span XXXXX="s1"> = 6 </span><span XXXXX="s2"><XXX>X</sup></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"><span class="XXXXX-XXXXXXXXX-XXXXX"></span>XXXX the test!</span></p> <p><span class="s1">XXXXX XXX pairs.</span></p> <ol> <li><span class="s1">XX</span></li> <li><span class="XX">XXX<span class="XXXXX-XXXXXXXXX-space"></span></span></li> <li><span XXXXX="XX">V</span></li> <li><span XXXXX="XX">I</span></li> <li><span class="s1">XX</span></li> <li><span class="XX">II</span></li> </ol> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXXXXX 1 XXXXX 6</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">√X + √2 = 3.XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"><span class="Apple-XXXXXXXXX-space"> </span>X</span></p> <p><span class="s1">X<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="Apple-converted-space"> </span>X<span class="Apple-XXXXXXXXX-XXXXX"> </span>X <span XXXXX="Apple-converted-XXXXX"> </span>5<span XXXXX="Apple-XXXXXXXXX-space"> </span>X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">|__|__|__|XX|XX|</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">5</span><span XXXXX="s2"><sup>X/2</XXX></span><span class="XX"> + 2</span><span class="XX"><sup>1/X </XXX></span><span XXXXX="XX">= 3.65</span></p> <p><span XXXXX="s1"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span class="s1">X<span class="XXXXX-converted-space"> </span>2<span class="XXXXX-converted-space"> </span>X<span XXXXX="Apple-XXXXXXXXX-space"> </span>X <span XXXXX="XXXXX-converted-space"> </span>5<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="s1">|__|__|__|__|XX|</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">√X + √5 = 4.XX</span></p> <p><span XXXXX="XX"><span class="XXXXX-converted-XXXXX"> </span>X</span></p> <p><span class="XX">X<span XXXXX="XXXXX-converted-space"> </span>2<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="Apple-converted-XXXXX"> </span>4 <span class="XXXXX-XXXXXXXXX-space"> </span>5<span XXXXX="Apple-XXXXXXXXX-space"> </span>6<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="XX">|__|__|__|XX|__|</span></p> <p><span class="XX"></span> </p> <p><span class="XX">5</span><span class="XX"><XXX>1/X</sup></span><span class="XX"> + 5</span><span XXXXX="s2"><XXX>X/X </XXX></span><span class="s1">= 4.XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span XXXXX="s1">X<span class="XXXXX-converted-XXXXX"> </span>2<span XXXXX="Apple-XXXXXXXXX-space"> </span>X<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>4 <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="Apple-XXXXXXXXX-space"> </span>6<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="s1">|__|XX|__|__|XX|</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">X √3 - X √X = -10.39</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"><span class="XXXXX-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span XXXXX="XX">-13 -XX<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-XX<span class="XXXXX-XXXXXXXXX-space"> </span>-XX<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-X<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="s1">|____|____|XXX|___|XXX|</span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">2 . X</span><span class="s2"><sup>1/2</XXX></span><span class="XX"> - X . 3</span><span class="s2"><sup>X/X </XXX></span><span class="s1">= -10.XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"><span XXXXX="Apple-converted-XXXXX"> </span>X</span></p> <p><span class="XX">-13 -XX<span class="XXXXX-converted-XXXXX"> </span>-11<span class="Apple-XXXXXXXXX-XXXXX"> </span>-10<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-9<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-X<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span class="XX">|XXXX|____|___|XXX|XXX|</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Let’s XXXXXXXX</span></p> <p><span class="s1"></span> </p> <p><span class="XX">X.a.</span></p> <p><span class="s1">√XX + √3 = X√3+ √3 = X √3 = 12</span><span class="XX"><XXX>1/X</sup></span><span XXXXX="XX"> + 3</span><span XXXXX="XX"><XXX>1/2</sup></span><span XXXXX="XX"> = X.XXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">b.</span></p> <p><span XXXXX="s1">XX</span><span XXXXX="XX"><XXX>1/2</XXX></span><span XXXXX="XX"> + 3</span><span XXXXX="s2"><sup>X/X</XXX></span><span XXXXX="XX"> = √XX + √X = 3 √X=<span XXXXX="Apple-XXXXXXXXX-space"> </span>5.196</span></p> <p><span class="s1"></span> </p> <p><span class="s1">c.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">√XX + √15 + √XX = XX</span><span class="s2"><sup>X/2</XXX></span><span class="s1"> +XX</span><span class="XX"><XXX>1/X</sup></span><span class="XX"> + XX</span><span class="s2"><XXX>1/2</sup></span><span XXXXX="XX"> = X√8 + √15 + √XX = =<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>XX.6</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">d.<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">72</span><span XXXXX="XX"><sup>X/2</sup></span><span class="XX"> +15</span><span class="XX"><sup>1/2</XXX></span><span class="XX"> + XX</span><span XXXXX="s2"><sup>X/X</sup></span><span XXXXX="s1"> = √XX + √XX + √18 = XXX.XX</span><span class="s2"><XXX>X/X</sup></span><span XXXXX="s1"> = XX.6</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">e.<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="s1">√32 + </span><span XXXXX="XX"><XXX>X</XXX></span><span XXXXX="s1"> √XX = 32</span><span class="XX"><XXX>X/X</sup></span><span XXXXX="s1"> +16</span><span class="s2"><sup>1/3 </XXX></span><span XXXXX="s1">= 8.XXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">f.</span></p> <p><span XXXXX="s1">XX</span><span XXXXX="XX"><XXX>1/2</XXX></span><span class="XX"> +16</span><span XXXXX="XX"><sup>1/3</sup></span></p> <p><span class="s1">= √32 + </span><span XXXXX="XX"><sup>3</XXX></span><span XXXXX="XX"> √16<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="s1">= √ 2</span><span XXXXX="XX"><XXX>X</sup></span><span class="s1"> +√ X</span><span XXXXX="s2"><sup>X</sup></span><span class="XX"></span></p> <p><span class="XX">= 3 √ 2</span><span class="XX"><XXX>4</sup></span></p> <p><span class="s1">= 8.XXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXX it!</span></p> <p><span class="XX">2.a.<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1">= 4 √X = 9.79</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X.b.</span></p> <p><span class="XX">= 4 √X = X.79</span></p> <p><span class="XX"></span> </p> <p><span class="s1">2.c.</span></p> <p><span class="s1">= √50 + √18+ √10</span></p> <p><span class="s1">= 5 √2 + 3 √ 2 + √XX</span></p> <p><span XXXXX="XX">= X √ X + √ 10</span></p> <p><span class="XX">= 14.475</span></p> <p><span class="XX"></span> </p> <p><span class="XX">2.d.</span></p> <p><span class="XX">= √XX + √XX+ √XX</span></p> <p><span class="s1">= 14.475</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">X.e.</span></p> <p><span class="s3">= 2</span><span class="XX"><sup>X/X </XXX></span><span class="s3">+ 8</span><span class="XX"><sup>1/X </XXX></span><span class="XX">+ 16</span><span class="s1"><XXX>X/3<span XXXXX="XXXXX-XXXXXXXXX-space"></span></sup></span></p> <p><span XXXXX="s1">= X</span><span class="s2"><XXX>X/3 </sup></span><span XXXXX="s1">+ X + 2 </span><span XXXXX="s2"><sup>X/X</sup></span></p> <p><span class="s1">= 5.80</span></p> <p><span class="XX"></span> </p> <p><span class="s1">2.f.</span></p> <p><span class="s3">= 2</span><span class="XX"><XXX>1/3 </XXX></span><span class="s3">+ 8</span><span XXXXX="XX"><sup>1/3 </sup></span><span class="s3">+ 16</span><span class="XX"><XXX>1/3<span class="XXXXX-XXXXXXXXX-XXXXX"></span></XXX></span></p> <p><span class="s1">= 2</span><span XXXXX="s2"><XXX>X/3 </XXX></span><span XXXXX="s1">+ 2 + 2 </span><span XXXXX="XX"><sup>X/X</XXX></span></p> <p><span class="XX">= 5.80</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXX XXX Test!</span></p> <p><span class="s1">1. Which of XXX XXXXXXXXX XXXXXXXXXXX XXX XXXXXXXXXX?</span></p> <p><span XXXXX="XX">[]</span></p> <p><span class="XX">[]</span></p> <p><span class="s1">[X]</span></p> <p><span class="s1">[X]</span></p> <p><span XXXXX="s1">[]</span></p> <p><span XXXXX="s1">[]</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">2. B.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Part B:</span></p> <p><span class="s1">Label XXX XXXXX the XXXXXXXXXX XX XXX number XXXX XXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">4 . 3 </span><span XXXXX="XX"><sup>X/X</sup></span></p> <p><span class="XX"><sup>2</sup></span></p> <p><span class="s1">2 </span><span class="XX"><XXX>2 </sup></span><span class="XX">+ X </span><span XXXXX="s2"><XXX>1/2<span XXXXX="Apple-converted-XXXXX"></span></sup></span></p> <p><span class="s1">XX </span><span XXXXX="XX"><XXX>1/2</sup></span><span XXXXX="s1">+ 3 </span><span class="s2"><XXX>1/X<span class="XXXXX-converted-XXXXX"></span></XXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">= X.73</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X</span></p> <p><span XXXXX="XX">6<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>5<span XXXXX="Apple-XXXXXXXXX-space"> </span>X<span class="XXXXX-converted-XXXXX"> </span>3 <span class="Apple-converted-space"> </span>2 <span class="Apple-XXXXXXXXX-XXXXX"> </span>1</span></p> <p><span XXXXX="s1">|XX|__|__|__|XX|</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXXXX 1 - Topic 7</span></p> <p><span class="s1"></span> </p> <p><span class="s1">√ 10 </span><span XXXXX="s2"><sup>.</sup></span><span class="s1"> √ 2</span></p> <p><span XXXXX="s1">= √ 2 </span><span XXXXX="XX"><sup>.</sup></span><span XXXXX="s1"> 5 </span><span XXXXX="s2"><XXX>.</XXX></span><span class="s1"> √ 2</span></p> <p><span class="XX">= √ 2 </span><span XXXXX="s2"><sup>.</XXX></span><span class="s1"> √ X </span><span XXXXX="XX"><sup>.</sup></span><span class="s1"> √ X</span></p> <p><span class="XX">= 2 √2<span class="XXXXX-XXXXXXXXX-space"> </span></span><span XXXXX="s2"><XXX>.</sup></span><span class="XX"> √ X</span></p> <p><span XXXXX="s1">=4.XX</span></p> <p><span class="XX"></span> </p> <p><span class="s3">XX </span><span XXXXX="s1"><sup>X/2 . </sup></span><span class="XX">2 </span><span class="s1"><XXX>1/2</sup></span></p> <p><span class="XX">=<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X </span><span class="XX"><XXX>1/X.</XXX></span><span XXXXX="XX"> 5 </span><span XXXXX="XX"><sup>.</sup></span><span class="XX"><span class="XXXXX-XXXXXXXXX-space"> </span>X </span><span class="s2"><XXX>1/2</XXX></span></p> <p><span XXXXX="s1">=<span class="Apple-converted-XXXXX"> </span>X </span><span XXXXX="s2"><sup>X/2</sup></span><span class="s1"> </span><span XXXXX="XX"><sup>.</sup></span><span class="s1"><span XXXXX="Apple-XXXXXXXXX-space"> </span>X </span><span XXXXX="s2"><sup>1/2</XXX></span><span XXXXX="XX"> </span><span class="s2"><XXX>.</sup></span><span XXXXX="XX"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X </span><span class="s2"><sup>X/X</sup></span></p> <p><span class="s1">=<span class="Apple-XXXXXXXXX-space"> </span>X </span><span XXXXX="XX"><XXX>X/X</sup></span><span class="XX"> </span><span class="XX"><XXX>.</XXX></span><span XXXXX="s1"><span class="XXXXX-converted-space"> </span>X </span><span XXXXX="s2"><XXX>1/2</sup></span></p> <p><span class="XX">= 4.57</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"><span class="XXXXX-XXXXXXXXX-space"></span>√2<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span></span><span XXXXX="s2"><XXX>.</XXX></span><span class="XX"> </span><span XXXXX="s2"><sup>3</XXX></span><span XXXXX="XX">√ 2</span></p> <p><span XXXXX="s1">=<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>√X</span></p> <p><span class="s1">= 2.67</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">2 </span><span XXXXX="s2"><XXX>1/X</XXX></span><span XXXXX="s1"> </span><span XXXXX="s2"><sup>.</sup></span><span XXXXX="XX"><span class="XXXXX-XXXXXXXXX-space"> </span>2 </span><span class="XX"><sup>1/3</XXX></span></p> <p><span class="s1">=<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>√X</span></p> <p><span XXXXX="XX">= X.XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">√ XX / √ X</span></p> <p><span XXXXX="XX">= (√ 2 </span><span class="s2"><XXX>.</XXX></span><span XXXXX="XX"> √ X )<span class="Apple-converted-space"> </span>/ √ X</span></p> <p><span XXXXX="XX">= √ X</span></p> <p><span XXXXX="XX">= X.23</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">10 </span><span class="XX"><sup>X/X </XXX></span><span XXXXX="XX">/2 </span><span XXXXX="s1"><sup>X/X</XXX></span></p> <p><span XXXXX="XX">= (√ X </span><span XXXXX="s2"><sup>.</XXX></span><span class="XX"> √ 5 )<span class="XXXXX-converted-XXXXX"> </span>/ √ X</span></p> <p><span class="XX">= √ 5</span></p> <p><span XXXXX="s1">= 2.23</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s3">(x</span><span XXXXX="s1"><XXX>1/3 </XXX></span><span XXXXX="XX">)</span><span XXXXX="s1"><sup>1/2</sup></span></p> <p><span XXXXX="XX">=x</span><span XXXXX="s1"><sup>1/6</sup></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(√X)</span><span XXXXX="XX"><XXX>X</sup></span></p> <p><span class="s1">= (7</span><span XXXXX="s2"><XXX>1/X</XXX></span><span class="XX">)</span><span XXXXX="s2"><XXX>3</XXX></span></p> <p><span XXXXX="XX">= (7</span><span XXXXX="XX"><sup>X/X</XXX></span><span class="XX">)</span></p> <p><span class="s1">= XX.X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"><span XXXXX="Apple-converted-XXXXX"></span>a</span><span XXXXX="s1"><sup>1/X</XXX></span><span XXXXX="s3"> b</span><span XXXXX="s1"><sup>2/5</sup></span><span XXXXX="XX"> a </span><span XXXXX="XX"><XXX>X/X</sup></span><span class="XX"> b </span><span XXXXX="s1"><XXX>1/2</sup></span></p> <p><span XXXXX="XX">= a </span><span XXXXX="s1"><sup>1/X</sup></span><span class="s3"> b</span><span XXXXX="XX"><sup>X/10</sup></span></p> <p><span class="s1">= a </span><span XXXXX="XX"><XXX>X/6</sup></span><span XXXXX="s1"> b</span><span class="XX"><XXX>X/X</sup></span></p> <p><span class="s1"></span> </p> <p><span class="s2"><sup>4</XXX></span><span XXXXX="s1"> √X / √8</span></p> <p><span XXXXX="XX">=<span class="Apple-converted-XXXXX"> </span>2 </span><span class="XX"><XXX>3(X/X)<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></XXX></span><span XXXXX="XX"> / X</span><span XXXXX="s1"><sup>X(X/X)</XXX></span></p> <p><span class="s1">=<span class="Apple-converted-XXXXX"> </span>2 </span><span XXXXX="s2"><sup>X/X </XXX></span><span class="XX">/ X</span><span XXXXX="s2"><XXX>X/X</XXX></span></p> <p><span class="s1">= 2 </span><span class="XX"><sup>-3/4</XXX></span></p> <p><span XXXXX="XX">= 0.XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Try it!</span></p> <p><span class="s1">a</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">= (m</span><span class="XX"><XXX>0</sup></span><span class="XX">n</span><span XXXXX="s2"><sup>2</sup></span><span XXXXX="XX"> )</span><span class="s2"><XXX>1/5</XXX></span></p> <p><span XXXXX="s1">= n</span><span class="s2"><XXX>X/5</XXX></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">b.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s3">= (2 </span><span XXXXX="s1"><XXX>3/X . </sup></span><span XXXXX="s3">X </span><span class="s1"><sup>1/X</XXX></span><span XXXXX="XX">)</span><span class="s1"><XXX>X/3</XXX></span></p> <p><span class="s1">= (X </span><span XXXXX="s2"><XXX>. </sup></span><span XXXXX="s1">X </span><span XXXXX="s2"><XXX>1/X</sup></span><span class="s1">)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">c.</span></p> <p><span XXXXX="s3">= X </span><span XXXXX="s1"><sup>X/2 . </sup></span><span XXXXX="s3">X </span><span XXXXX="XX"><sup>2/3</XXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">d.</span></p> <p><span XXXXX="XX">= (3 </span><span XXXXX="XX"><XXX>.<span class="XXXXX-converted-XXXXX"> </span></sup></span><span class="s3">3</span><span class="s1"><sup>3/6</XXX></span><span class="s3">) </span><span class="s1"><sup>X/2</XXX></span></p> <p><span class="XX">= (3</span><span class="s2"><sup>X/2</sup></span><span class="s1">) </span><span class="XX"><sup>X/2</XXX></span></p> <p><span class="XX">= X </span><span XXXXX="s2"><XXX>3/4</XXX></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXX the test!</span></p> <p><span XXXXX="XX">[]</span></p> <p><span class="s1">[]</span></p> <p><span XXXXX="s1">[X]</span></p> <p><span class="s1">[X]</span></p> <p><span class="s1">[]</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXXX 1 XXXXX 8</span></p> <p><span class="s1">Numbers that XXX be represented XX … XXX called rational XXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXXXX XXXX cannot XX XXXXXXXXXXX… XXX XXXXXX irrational numbers.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">√9 XXXXXXXX</span></p> <p><span XXXXX="XX">√X XXXXXXXXXX</span></p> <p><span class="s1">π = rational</span></p> <p><span class="s1">22/7 = rational</span></p> <p><span class="s1">9.XXXXXX&XXXXXX;. = irrational</span></p> <p><span class="s1">33/X = rational</span></p> <p><span XXXXX="s1">X.23606&XXXXXX; = XXXXXXXXXX</span></p> <p><span class="s1">-25 = rational</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXXXX XXX XXXXXXXX XXXXXXX a XXX b XXXXX XXXX XXX sum XX XXXXXXXX:</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXX XXX XX XXX two XXXXXXXX numbers is rational.</span></p> <p><span class="XX">XXXXX.</span></p> <p><span XXXXX="s1">Suppose r XXX s are XXXXXXXX numbers. [XX XXXX show XXXX r + s is rational.] Then, XX the XXXXXXXXXX of rational numbers, XX XXXX</span></p> <p><span class="s1"><span class="XXXXX-converted-XXXXX"></span>r = a/b<span XXXXX="XXXXX-converted-XXXXX"> </span>XXX XXXX integers a XXX b XXXX b ≠ 0.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"><span XXXXX="XXXXX-converted-XXXXX"> </span>s = c/d <span class="XXXXX-converted-space"> </span>XXX XXXX integers c and d XXXX d ≠ X.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">So, by XXXXXXXXXXXX, we XXXX</span></p> <p><span XXXXX="XX"><span class="Apple-converted-XXXXX"> </span>r + s = a/b + c/d</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"><span class="Apple-converted-space"></span>= (ad + XX)/XX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXX, let p = ad + bc XXX X = XX. Then, p and X are XXXXXXXX [because products and XXXX of integers are XXXXXXXX and because a, b, c and d XXX all XXXXXXXX. Also, X ≠ X by XXXX product XXXXXXXX.] Hence,</span></p> <p><span XXXXX="s1">r + s = p/q , XXXXX p and q are XXXXXXXX XXX X ≠ 0.</span></p> <p><span class="XX">Therefore, by definition XX a XXXXXXXX XXXXXX, (r + s) is rational. XXXX XX what was XX be shown.</span></p> <p><span XXXXX="s1">XXX XXXX completes the proof.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXXXXX XXXX: <a XXXX="XXXXX://math.stackexchange.com/questions/1320459/why-XXXXXX-proof-XX-XXX-of-XXX-XXXXXXXX-number-XX-XXXXXXXX-XXX-proving-the-XXXX">XXXXX://math.stackexchange.com/questions/1320459/why-XXXXXX-XXXXX-XX-XXX-of-XXX-rational-XXXXXX-is-rational-XX...</a></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Sum XX two numbers:</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">If two XXXXXXX are rational XX can XXXXXXX XXXXX XXX as<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1">a/b+ c/d</span></p> <p><span XXXXX="s1">XXXXX XX equal to</span></p> <p><span class="XX">(ad + bc) / bd</span></p> <p><span class="XX"></span> </p> <p><span class="s1">Hence, XXXXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Part b:</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXX product of a XXX b XXXX also XX XXXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXX c:</span></p> <p><span XXXXX="XX">XXXXX a XXXXXXXX XXXXXX a XXX an irrational number b, prove that XXX sum XX a XXX b is irrational</span></p> <p><span class="XX"></span></p> <p><span XXXXX="XX">X/2 + 9.48888888 = XX.4888888….</span></p> <p><span XXXXX="XX">XXXXX, the XXX of a and b is irrational</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXX a XXX-XXXX XXXXXXXX XXXXXX a, and an XXXXXXXXXX number b, XXXX XXX be said about XXX product of a XXX b?</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXX XXXXXXX of a XXX b XXXX be irrational.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXX’s practice!</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Consider the XXXXXXXXX expression</span></p> <p><span XXXXX="XX">XXX above expression XXXXXXXXXX XXX <strong>XXX </strong>of a <strong>rational XXXXXX </XXXXXX>XXX an <XXXXXX>irrational number</XXXXXX> and XX XXXXXXXXXX XX an <XXXXXX>irrational XXXXXX</XXXXXX></span></p> <p><span class="s1"></span> </p> <p><span class="XX">Try it!</span></p> <p><span class="XX"></span> </p> <p><span class="XX">The above expression XXXXXXXXXX the <XXXXXX>product </strong>of a <XXXXXX>XXXXXXXX XXXXXX </strong>and a <strong>rational number </strong>and is equivalent to a <XXXXXX>XXXXXXXX number.</strong></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"><XXXXXX>Beat XXX test!</strong></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"><strong>a+ b<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>= XXXXXXXX</XXXXXX></span></p> <p><span XXXXX="XX"><XXXXXX>a - c = XXXXXXXXXX</XXXXXX></span></p> <p><span XXXXX="s1"><XXXXXX>a . b = rational</XXXXXX></span></p> <p><span class="XX"><XXXXXX>a/b = rational</strong></span></p> <p><span XXXXX="XX"><XXXXXX>a . b. c = XXXXXXXXXX</XXXXXX></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"><strong>x . y = z</strong></span></p> <p><span class="XX"><XXXXXX>XX X XX an irrational number, XXXX XXXXXX x or y XX irrational.<span XXXXX="Apple-converted-XXXXX"> </span></strong></span></p> <p><br></p><p><br></p><p><span class="XX">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Common Core Algebra 1</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(a)<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="XX">f(-6) = -X</span></p> <p><span XXXXX="XX">f(X) = 2</span></p> <p><span class="s1">f(8) = 6</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(b)</span></p> <p><span XXXXX="XX">f(x) = XX</span></p> <p><span XXXXX="XX">x = XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(c)</span></p> <p><span XXXXX="s1">x = -6, y = -1</span></p> <p><span XXXXX="XX">x = -4, y = 0</span></p> <p><span class="s1">x = -2, y = 1</span></p> <p><span XXXXX="XX">x = 0, y = 2</span></p> <p><span XXXXX="s1">x = X, y = X</span></p> <p><span XXXXX="s1">x = X, y = X</span></p> <p><span class="s1">x = X, y = X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(d) They intersect XX x = 2, y = X<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(e) x = X, y = 3</span></p> <p><span class="XX">Y = 0.X (X) + 2 = 3</span></p> <p><span XXXXX="XX">X = X - x = 5 - 2 = 3</span></p> <p><span XXXXX="XX">XXX point in (d) is a solution XX both XXXXXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Exercise #2</span></p> <p><span class="XX">(a)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(b)<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(c) Minimum XXXXX : x = X, y = -X</span></p> <p><span XXXXX="XX">XXXXXXX value = XXXXXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span class="XX">(d)</span></p> <p><span XXXXX="s1">The XXXXXXXX XX XXXXXXXX between x = -1 and x = X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">(e) XXX function is XXXXXXXXXX in XXXXXXXXX x > X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">(f) At y = -3, x = X. XXXX XXX XX seen from the graph and table.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1">Exercise #3</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX" <the="" XXX="" graphs="" intersect="" at="" (-X,4).="" hence="" option="" (X)="" is="" XXX="" XXXXXX.="">span XXXXX="Apple-XXXXXXXXX-space"&XX;</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <ol> <li><span class="XX">(a) g(-2) = 4</span></li> </ol> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(b) g(0) = -X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(c) g(X) = 52</span></p> <p><span class="s1"></span></p> <p><span XXXXX="XX">(d) g(15) = XXX</span></p> <p><span class="XX"></span> </p> <p><span class="s1">2.<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">x = -X, y = 9</span></p> <p><span XXXXX="s1">x = -1, y = 4</span></p> <p><span class="s1">x = X, y = 1</span></p> <p><span XXXXX="XX">x = X, y = X</span></p> <p><span class="XX">x = 2, y = 1</span></p> <p><span XXXXX="s1">x = X, y = 4</span></p> <p><span XXXXX="XX">x = 4, y = 9</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">X.<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="XX">When x = -X, y = XX. The XXXXXX is XXX XXXXXX XXXXX (XXXXXXX answer XX x=X)<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Applications</span></p> <p><span class="s1">4. (a)<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="XX"></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(b) For interval -2 < x &XX; X, P(x) &XX; X. XXXX represents XXXXXXXX XXXXXX XXXXXXXX.<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(c) P(0) = -2 or 6. XXXX represents XXX XXXXX even XXXXX (XXXX XXXXXX).</span></p> <p><span XXXXX="s1">(d) x = -X or x = 6. This XXXXXXXXXX the XXXXXX XX packages XX XXXXXX XXXXX even profit.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="s1">5. No, Rob is incorrect. When x = -4, f(x) = 6.<span XXXXX="Apple-converted-XXXXX"></span></span></p><p><br></p> <p><XX></p> <p><span XXXXX="s1">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #X<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(a)<span class="XXXXX-converted-space"></span></span></p> <p><span class="XX">y = XX - 1</span></p> <p><span class="s1"></span> </p> <p><span class="s1">x = X, y = -1</span></p> <p><span class="s1">x = 1, y = 2 - X = 1</span></p> <p><span XXXXX="s1">x = 2, y= 4 - 1 = 3</span></p> <p><span class="XX">x = 3, y = 6 - X = X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(b) XXXXXXXX XX y = 2x - 1</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Exercise #X<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">The XXXXX XXXXXX is x = X (y = 2(8) + 1 = 17)</span></p> <p><span XXXXX="s1">It XX harder because you need XX XXXX the outputs XXX by XXX.</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXXXXX #3</span></p> <p><span XXXXX="s1">X = X.XX + (0.5n + 10)</span></p> <p><span XXXXX="s1">n = XX</span></p> <p><span XXXXX="XX">X = XX + XX + XX = 60</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXX #X</span></p> <p><span XXXXX="XX">(a) This rule is a function as XXXX XXXXX XXXX XXXXX XXX a XXXXXXXX XXXXXX XXXXX month.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"><span XXXXX="XXXXX-converted-XXXXX"> </span>(b) XXXXXX XX XXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(c) Zeke XXX Niko XXXX XXXX an output XX May. This XX XXXXXXX each output XXXXX maps XX an XXXXX. XXX input gives one XXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXXXXX #5</span></p> <ol> <li><span class="XX">Charlene starts XXX XX 22 blocks XXXX school (at x = X)</span></li> <li><span class="s1">After 4 XXXXXXX, she XX 14 blocks XXXX XXXXXX</span></li> <li><span XXXXX="XX">XX X XXXXXXX, Charlene stops for 3 XXXXXXX.</span></li> </ol> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(d) XXXXXXXX walked 1 XXXXX to XXX subway.</span></p> <p><span class="XX"></span> </p> <p><span class="XX">(e) XXXX she got XX the XXXXX, it XXXX her X minutes</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">Fluency</span></p> <p><span XXXXX="s1">X.</span></p> <ol> <li><span class="XX">States/Capitals is a function. XXX input gives XXX output.</span></li> <li><span class="s1">XXXXXX/Cities is XXX a XXXXXXXX. One XXXXX XXXXX many outputs.</span></li> <li><span class="s1">XXXXXXXX/XXXX is not a XXXXXXXX XXX XXXXX gives XXXX XXXXXXX.</span></li> <li><span class="s1">XXXXXXXX/Last XXXXX is a XXXXXXXX. XXX XXXXX XXXXX one output.</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">X. (a)</span></p> <p><span class="XX">x = -3, y = X(-X) - X = -22</span></p> <p><span XXXXX="s1">x = 0, y = X(0) - X = -7</span></p> <p><span XXXXX="s1">x = 6, y = X(X) - 7 = 23</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXX is a function (one XXXXX gives one XXXXXX)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(b)</span></p> <p><span class="s1">XXXX is not a XXXXXXXX. One XXXXX XXXXX XXXX XXXXXXX (x=X)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(c) XXXX XX a XXXXXXXX. XXX input gives one XXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(d) This XX not a function. XXX XXXXX x=2 gives many outputs.<span XXXXX="Apple-converted-space"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Applications</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X. Andrew</span></p> <ol> <li><span XXXXX="XX">The XXXXXX XXXX was 15 minutes XXXX</span></li> <li><span XXXXX="XX">XX he XXXXXXX after 4 minutes, the distance XXX 9 blocks</span></li> <li><span XXXXX="XX">Andrew stopped 3 times for X minute XXXXXXX of XXXXXXX XXXXX XXXXX</span></li> <li><span XXXXX="s1">XXXXXX’s trip XXX XXXXXX XXXXXX back.</span></li> </ol> <p><span class="s1"></span> </p> <p><span XXXXX="s1">X. <span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1"></span> </p><p><XX></p><p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">531CCAlg1U2L12IntervalNotation<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Answers: [-X, 5]</span></p> <p><span XXXXX="XX">(-6, 4)</span></p> <p><span XXXXX="s1">(-X, X]</span></p> <p><span class="s1">[-4, infinity)</span></p> <p><span class="XX">(XXXXXXXX, X)</span></p> <p><span class="s1">(infinity, -X)</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Exercise 2</span></p> <p><span XXXXX="s1">(3) [-XX, 4) <span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Exercise #3</span></p> <p><span class="s1"></span> </p> <p><span class="XX">12- XX &XX; 0</span></p> <p><span XXXXX="XX">XX > XX</span></p> <p><span class="XX">3 &XX; x</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXXXXX XXXXXXXX (infinity, X)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Exercise #X</span></p> <p><span class="XX">The solutions XXX:</span></p> <p><span XXXXX="XX">(a) [-3, 4)</span></p> <p><span XXXXX="s1">(b) [-X, X] or (-3, X)</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">Exercise #X. XXX XXXXXX is (X)</span></p> <p><span class="s1"></span> </p> <p><span class="XX">Fluency</span></p> <p><span class="s1"></span> </p> <p><span class="XX">Equivalent interval notation:<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">X(a) -5 < x ≤ X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">1(b) x ≤ -X XXX x > -3</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">X.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(a) x > X</span></p> <p><span XXXXX="s1"></span></p> <p><span class="s1">3 (X) X &XX; t < XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">X.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">(a)<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">XXXX use during 7-9AM XXX 3-XXX. XXXXXXXX is X &XX; x < X XXX XX < x &XX; 19<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(b) No, XXXXX XXXX not XX XXXX a time as XXX maximum period of overlapping use XX four hours.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">5. XXXXX should XXXX XXXXXX XXX rightmost circle and XXXX XXX XXXXXXXX XXXXXX hollow.</span></p><p><br></p> <p><br></p> <p><XX></p> <p><br></p> <p><br></p> <p><br></p> <p><br></p> <p><br></p> <p><br></p> <p><br></p> <p><XX></p> <p><br></p> <p><br></p> <p><XX></p> <p><XX></p>">
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