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060CCAlg1U2L3ALinearEquationSolvingReview</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <table> <tbody> <tr> <td> <p><span class="s1">A.</span></p> <p><span class="s1">x/3 - 7 = -2</span></p> <p><span class="s1">x/3 = 5</span></p> <p><span class="s1">x = 15</span></p> </td> <td> <p><span class="s1">B.</span></p> <p><span class="s1">4x + 3 = -17</span></p> <p><span class="s1">4x = -20</span></p> <p><span class="s1">x = -5</span></p> </td> <td> <p><span class="s1">C.</span></p> <p><span class="s1">5x + 12 = 87</span></p> <p><span class="s1">x = (87 - 12)/5</span></p> <p><span class="s1">x = 15</span></p> </td> </tr> <tr> <td> <p><span class="s1">D. (x+7)/3 = 2</span></p> <p><span class="s1">x+7 = 6</span></p> <p><span class="s1">x = -1</span></p> </td> <td> <p><span class="s1">E.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">-6 (x-1) = 18</span></p> <p><span class="s1">-6 = 18x - 18</span></p> <p><span class="s1">18x = 12</span></p> <p><span class="s1">x = 12/18</span></p> <p><span class="s1">x = 2/3 = 0.66</span></p> </td> <td> <p><span class="s1">F</span></p> <p><span class="s1">8x + 2 = -2<span class="Apple-converted-space"></span></span></p> <p><span class="s1">8x = -2 -2<span class="Apple-converted-space"></span></span></p> <p><span class="s1">x = -1/2 = -0.5</span></p> </td> </tr> <tr> <td> <p><span class="s1">G</span></p> <p><span class="s1">(3/4)x - 5 = 4</span></p> <p><span class="s1">(3/4)x = 9</span></p> <p><span class="s1">x = 9 * (4/3)</span></p> <p><span class="s1">x = 12</span></p> </td> <td> <p><span class="s1">H</span></p> <p><span class="s1">(-5/2)x + 6 = 1</span></p> <p><span class="s1">(-5/2)x = -5</span></p> <p><span class="s1">x = (-5)/(-5/2)</span></p> <p><span class="s1">x = 2</span></p> </td> <td> <p><span class="s1">I</span></p> <p><span class="s1">6x + 3 = -1</span></p> <p><span class="s1">6x = -4</span></p> <p><span class="s1">x = -(4/6) = -(2/3) = -0.66</span></p> </td> </tr> </tbody> </table> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #2</span></p> <p><span class="s1"></span> </p> <p><span class="s2">5(x-3)</span><span class="s1"> + 2 = 7</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5(x-3) + 16 = 56</span></p> <p><span class="s1">5(x-3) = 40</span></p> <p><span class="s1">x-3= 8</span></p> <p><span class="s1">x = 11</span></p> <p><span class="s1"></span> </p> <p><span class="s1"><span class="Apple-converted-space"> </span>Exercise #3</span></p> <p><span class="s1">(a) 5(x-3) + 2x = 4(x+3)</span></p> <p><span class="s1">5x - 15 + 2x = 4x + 12</span></p> <p><span class="s1">7x - 15 = 4x + 12</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(b) 7x - 15 = 4x + 12</span></p> <p><span class="s1">3x = 27</span></p> <p><span class="s1">x = 9</span></p> <p><span class="s1">Let x = 9 for 5(x-3) + 2x = 4(x+3)</span></p> <p><span class="s1">5(9-3) + 2(9) = 4((9)+3)</span></p> <p><span class="s1">30 + 18 = 48</span></p> <p><span class="s1">The equation holds true.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #4</span></p> <p><span class="s1">(a) 7(x-2)-3(x+3) = 5(x-3) + x</span></p> <p><span class="s1">7x - 14 - 3x - 9 = 5x - 15 + x</span></p> <p><span class="s1">4x - 23 = 6x - 15</span></p> <p><span class="s1">2x = -8</span></p> <p><span class="s1">x = -4</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(b) 9 - 6(x+1) = 2(x-4) + 27</span></p> <p><span class="s1">9 - 6x - 6 = 2x - 8 + 27</span></p> <p><span class="s1">3 - 6x = 2x + 19</span></p> <p><span class="s1">8x = 3-19</span></p> <p><span class="s1">x = (-16)/8</span></p> <p><span class="s1">x = -2</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Fluency</span></p> <p><span class="s1">1.</span></p> <p><span class="s1">a. 7x - 15 = 1</span></p> <p><span class="s1">7x = 16</span></p> <p><span class="s1">x = 16/7 = 2.28</span></p> <p><span class="s1"></span> </p> <p><span class="s1">b. (x+2)/4 = -2</span></p> <p><span class="s1">x+2 = -8</span></p> <p><span class="s1">x = -10</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">c. (-3/5)x + 2 = 7</span></p> <p><span class="s1">(-3/5)x = 5</span></p> <p><span class="s1">x = -8.333 OR -8 and 1/3</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">2.</span></p> <p><span class="s1">a. </span><span class="s2">5(x+1) + 4</span><span class="s1"> = 4</span></p> <p><span class="s1"><span class="Apple-tab-span"> </span>6</span></p> <p><span class="s1">5(x+1) + 4 = 24</span></p> <p><span class="s1">5x + 9 = 24</span></p> <p><span class="s1">5x = 15</span></p> <p><span class="s1">x = 3</span></p> <p><span class="s1"></span> </p> <p><span class="s1">b. </span><span class="s2">5(x-3)</span><span class="s1"> + 2 = 7</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>8</span></p> <p><span class="s1">5(x-3) + 16 = 56</span></p> <p><span class="s1">5x - 15 + 16 = 56</span></p> <p><span class="s1">5x + 1 = 56</span></p> <p><span class="s1">5x = 55</span></p> <p><span class="s1">x = 11</span></p> <p><span class="s1"></span> </p> <p><span class="s1">c. -(3/2)x + 2 = -4</span></p> <p><span class="s1">-(3/2)x = -6</span></p> <p><span class="s1">(3/2)x = 6</span></p> <p><span class="s1">x = 4</span></p> <p><span class="s1"></span> </p> <p><span class="s1">d. 5(x+1) - 2x = 2(3+x)</span></p> <p><span class="s1">5x + 5 - 2x = 6 + 2x</span></p> <p><span class="s1">x = 6 - 5</span></p> <p><span class="s1">x = 1</span></p> <p><span class="s1"></span> </p> <p><span class="s1">e. 3(x-4) - 2(3x+4) = 4(3-x) + 5x + 4</span></p> <p><span class="s1">3x - 12 - 6x - 8 = 12 - 4x + 5x + 4</span></p> <p><span class="s1">3x - 6x + 4x - 5x = 12 + 8 + 12 + 4</span></p> <p><span class="s1">-4x = 36</span></p> <p><span class="s1">x = -9</span></p> <p><span class="s1"></span> </p> <p><span class="s1">f. (1/2) (2- 6 x) - 4 ( x + (3/2)) = -(x-3) + 4</span></p> <p><span class="s1">(2-6x) - 8 (x+ (3/2)) = -2(x-3) + 8</span></p> <p><span class="s1">2-6x - 8x - 12 = -2x + 6 + 8</span></p> <p><span class="s1">12x = 2-12 + 6 + 8</span></p> <p><span class="s1">12x = 4</span></p> <p><span class="s1">x = 1/3</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Applications</span></p> <p><span class="s1">3. a. Let equation equal target number of tiles (150)</span></p> <p><span class="s1">12b + 38 = 150</span></p> <p><span class="s1">12b = 150 - 38</span></p> <p><span class="s1">b = (150-38)/12<span class="Apple-converted-space"></span></span></p> <p><span class="s1">b = 9.33 -> Round up to b = 10</span></p> <p><span class="s1">We need to round up our answer because the supplier does not sell bundles smaller than one full bundle. Hence, 10 is the minimum number we can buy. We will thus be left with 158 tiles.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">b. After buying 10 bundles and selling 150 tiles, the tile warehouse store will be left with x = 158 - 150 = 8 tiles. If the store wants to keep 30 tiles in stock at all times, it has to buy 3 more bundles of tiles. This will allow it to have 30+ 8 = 38 tiles, which exceeds the minimum required stock of 30 tiles.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Reasoning</span></p> <p><span class="s1">4. Erroneous solution:</span></p> <p><span class="s2">-2(x-3)</span><span class="s1"> = 4</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>5</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5 . </span><span class="s2">-2(x-3)</span><span class="s1"> = 4 . 5</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>5</span></p> <p><span class="s1"></span> </p> <p><span class="s1">-2(x-3) = 20</span></p> <p><span class="s1"><b>-2x -<span class="Apple-converted-space"> </span>6 = 20<span class="Apple-tab-span"> </span><span class="Apple-tab-span"> </span><span class="Apple-tab-span"> </span>ERROR: should be -2x + 6 = 20</b></span></p> <p><span class="s1">-2x - 6 + 6 = 20 + 6</span></p> <ul> <li><span class="s3"></span><span class="s1">2x = 26</span></li> </ul> <p><span class="s1">x = -13</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">Corrected solution:</span></p> <p><span class="s2">-2(x-3)</span><span class="s1"> = 4</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>5</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5 . </span><span class="s2">-2(x-3)</span><span class="s1"> = 4 . 5</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>5</span></p> <p><span class="s1"></span> </p> <p><span class="s1">-2(x-3) = 20</span></p> <p><span class="s1">-2x +<span class="Apple-converted-space"> </span>6 = 20</span></p> <p><span class="s1">-2x<span class="Apple-converted-space"> </span>= 20 - 6</span></p> <ul> <li><span class="s3"></span><span class="s1">2x = 14</span></li> </ul> <p><span class="s1">x = - 7<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"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">204CCAlg1U2L5LinearWordProblems</span></p> <p><span class="s1">LINEAR WORD PROBLEMS COMMON CORE ALGEBRA I</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #1:<span class="Apple-converted-space"></span></span></p> <p><span class="s1">(a)Test a: 1</span></p> <p><span class="s1">1 + 5 = 6 (wrong number)</span></p> <p><span class="s1">Test b: 2<span class="Apple-converted-space"></span></span></p> <p><span class="s1">2 + 5 = 7 (wrong number)</span></p> <p><span class="s1">Test c: 8</span></p> <p><span class="s1">8 + 5 = 13 (wrong number)</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(b):Let the number of interest be x</span></p> <p><span class="s1">x + 5 = 17</span></p> <p><span class="s1">x = 17 - 5 = 12</span></p> <p><span class="s1">The number is 12.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #2:</span></p> <p><span class="s1">(1) 2n - n + 5 = 3</span></p> <p><span class="s1">(2) n - (2n + 5) = 3</span></p> <p><span class="s1">(3) n + 5 - 2n = 3</span></p> <p><span class="s1">(4) 2n - (n+5) = 3</span></p> <p><span class="s1"></span> </p> <p><span class="s1">The option (4) could be used the find the value of the number, n, because its first term (2n) and its second term (n+5) correspond to those of twice the number and a number that is five more than it is. Furthermore, the equation takes the difference between the two.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">As proof:</span></p> <p><span class="s1">2n - (n+5) = 3</span></p> <p><span class="s1">n - 5 = 3</span></p> <p><span class="s1">n = 8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">The number is 8.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #3</span></p> <p><span class="s1">(a) Test 1: Let us say Evie’s age is 5.</span></p> <p><span class="s1">Now: Evie’s father is 36 + 5 = 41</span></p> <p><span class="s1">3 years from now: Evie’s father should be 44, but five times her age (8) is 40.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">This number is wrong.</span></p> <p><span class="s1"></span></p> <p><span class="s1">Test 2: Let us say Evie’s age is 10.</span></p> <p><span class="s1">Now: Evie’s father is 36 + 10 = 46</span></p> <p><span class="s1">3 years from now: Evie’s father should be 49, but five times her age (10) is 50.<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">XXXX number is XXXXX.</span></p> <p><span XXXXX="XX"></span></p> <p><span XXXXX="s1">(b) XXX Evie’s age now XX x, XXX her father’s age at current time be x + XX.</span></p> <p><span class="s1">XXX Evie’s age three XXXXX from XXX XX x + X, and her father’s age X XXXXX from now XX XX + 15, or also, x + XX + 3 = x + XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Three years XXXX now: her father’s age XX XXXXX XX:</span></p> <p><span class="XX">XX + XX = x + 39</span></p> <p><span class="s1">4x = 24</span></p> <p><span XXXXX="s1">x = 6</span></p> <p><span class="XX">Hence, XXXX XX 6 years old XXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXXXXXXX #4</span></p> <p><span XXXXX="XX">Kirk = x, Jim = y</span></p> <p><span class="s1">XXXXXXXX 1: <span XXXXX="Apple-tab-span"> </span><span class="Apple-tab-span"> </span>x + 12 = y</span></p> <p><span XXXXX="s1">XXXXXXXX 2: <span class="XXXXX-tab-span"> </span><span XXXXX="Apple-tab-span"> </span>(X/X) y = x - 2</span></p> <p><span XXXXX="XX">XXX XXXXXXXX 2 be transformed XXXX EQUATION X (XXXXXXXX XXXX XXXXX XX X): y = XX - X</span></p> <p><span XXXXX="XX">XXXXXXXXX, equating XXXXXXXX 1 XXX EQUATION X:</span></p> <p><span XXXXX="s1">x + XX = XX - X</span></p> <p><span class="XX">x = 16</span></p> <p><span class="XX">y = x + 12 = XX + XX = 28</span></p> <p><span XXXXX="XX">XXXX XXX 16 dollars, XXX XXX 28 dollars</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXXXX</span></p> <p><span XXXXX="s1">X. (X) XXX first XXXXXXXX, XX + (XX -2) = 15 , could XX used to XXXX XXX value XX XXX number n. XXXX XX XXXXXXX the XXXXX equation contains XXX XXX XX three times a XXXXXX XXX X XXXX than X XXXXX that same number, XXX XXXXX their XXX XXX XXXXXXX it to the XXXXXX number XX XX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">X.</span></p> <ol> <li><span class="s1">Let XXX XXX XX 3 XXXX XXXX X XXXXX a number XXX the number increased XX X equalling 24 be:</span></li> </ol> <p><span XXXXX="s1">XX - X + (x+9) = 24</span></p> <p><span XXXXX="s1">XXXXXXX the equation:</span></p> <p><span XXXXX="s1">XX + X = 24</span></p> <p><span class="s1">x = 18/X = 3</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(b) Let XXX’s age XX t, Andrew’s age XX a, Sara’s age XX s. The equations XXX as XXXXXXX:</span></p> <p><span XXXXX="s1">t =<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>XX + X</span></p> <p><span class="s1">s = 5a - X<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1">t = s because XXX and Sara XXX twins.</span></p> <p><span XXXXX="XX">2a + 4 = XX - 8</span></p> <p><span XXXXX="XX">3a = XX</span></p> <p><span XXXXX="XX">a = X</span></p> <p><span XXXXX="XX">t= X(4) + 4 = XX</span></p> <p><span XXXXX="XX">s = 20 - X = 12<span class="XXXXX-converted-XXXXX"> </span></span></p> <p><span class="s1">XXXXXX is 4 years XXX.<span class="Apple-converted-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(c) XXXXX months of use = x, x=X and XXXX XX plan is XXXXX XX $XX(x) + $12.XX = $XX.XX, XXX total texts are 450, cost XXX XXXX XX XX.5/XXX = $0.105.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(d)<span class="XXXXX-converted-space"> </span>XXXXXX’s XXX’s age XX x, XXXXXX’s age is x + XX. XX six years, XXXXXX ’s son will be x+6, XXXXXX will XX 3(x+X) or x + 26 + 6 = x + XX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXXXX, let XXXXXX’s age in 6 years XX either X(x+X) or x + XX.</span></p> <p><span class="s1">Equating both XXXXXXXXXXXXX XXX XXXXXX’s age in 6 years, we get:</span></p> <p><span class="XX">3(x+6) = x + XX</span></p> <p><span class="XX">XX + 18 = x + XX</span></p> <p><span XXXXX="s1">3x - x = XX</span></p> <p><span class="XX">XX = XX</span></p> <p><span XXXXX="XX">XXXXXX’s son’s XXXXXXX age: x = 7 XXXXXX’s XXXXXXX age: x + XX = 33</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXXXXXX, XXXXXX’s son XX 7 XXX Daniel is 33.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXXXXXX</span></p> <p><span class="XX">3. XXX age XX manager be x, XXXX XX 2(x-XX), Brian be XX - XX, Matt be 0.XX + 6</span></p> <p><span XXXXX="s1">The XXXXX of their ages is given by the equation:</span></p> <p><span class="XX">x + 2(x - 10) + 2x - 12 + X.XX + X = 106</span></p> <p><span XXXXX="XX">x + XX - 20 + XX - XX + 0.5x + X = 106</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">X.XX = XXX</span></p> <p><span XXXXX="XX">x = 24 (Therefore, manager is 24)</span></p> <p><span class="XX">Kirk is X(XX-10) = XX XXXXX XXX.</span></p> <p><span class="s1">XXXXX XX X(24) - XX = XX years old.</span></p> <p><span XXXXX="s1">Matt is 0.X(XX) + X = 18 years XXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXXX</span></p> <p><span XXXXX="s1">XXX 0.15x+25 = 0.XXX + XX.X</span></p> <p><span class="s1">0.05x = -X.5</span></p> <p><span class="s1">x = -130</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXXXX XXX XXXXXXX, XXX two plans will XXXXXX the same amount.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXXX XXXXX that XXXXXXX’s plan XX XXXXXXXXX more XXXXXXXXX XXXX XXXXXXX’s plan.</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 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="XX"></span> </p> <p><span class="XX"></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="XX"></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="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="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 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 class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="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 class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">428CCAlg1U2L2SeeingStructuretoSolveEquations<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="s1">XXXXXX STRUCTURE TO SOLVE XXXXXXXXX XXXXXX CORE XXXXXXX I</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXXXXX #X</span></p> <ol> <li><span class="XX">x was multiplied XX X and increased XX 3, and XXXX XXX XXXXXX XXXX XXXX XXXX XX XXX equation XXX XXXXXXX XX 23.</span></li> <li><span class="s1"> XX + X = XX</span></li> </ol> <p><span class="s1">5x = XX - X</span></p> <p><span XXXXX="s1">XX = XX</span></p> <p><span XXXXX="XX">x = 4</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXXXXXX #2</span></p> <p><span class="s1">(a) What happened to x? x was reduced by 3, divided by X and X was added XX the entire sum. XX XXX then equated XX -X.<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s2">x - 3</span><span class="s1"> + X = 23</span></p> <p><span XXXXX="s1"><span XXXXX="Apple-converted-space"> </span>2</span></p> <p><span class="XX"></span> </p> <p><span class="s1">x - 3 + 14 = 46</span></p> <p><span XXXXX="XX">x = 46 - 14 + X</span></p> <p><span XXXXX="s1">x = XX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">(b) What XXXXXXXX XX x? x was XXXXXXXXX XX X, x+1 XXX multiplied by 4, XXX the whole sum was XXXXXXX by X. XX was then XXXXXXX to -6.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">X(x+X) - X = -6</span></p> <p><span XXXXX="s1">4x + X - X = -6</span></p> <p><span class="s1">XX = -6 + 2 - X</span></p> <p><span XXXXX="XX">XX = -X</span></p> <p><span class="XX">x = -2</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Exercise #X</span></p> <p><span XXXXX="XX">(a) -2 (x - 4) + 8 = X</span></p> <p><span XXXXX="XX"><span class="XXXXX-tab-span"> </span>-2(x-4) + X = 0</span></p> <p><span class="XX"><span XXXXX="Apple-tab-span"> </span>-X (x-X) = -6</span></p> <p><span class="s1"><span class="XXXXX-tab-span"> </span>(x-X) = X</span></p> <p><span XXXXX="s1"><span class="XXXXX-tab-span"> </span>x = 4+X</span></p> <p><span XXXXX="XX"><span class="XXXXX-tab-span"> </span>x = 7</span></p> <p><span XXXXX="XX">(b) XXXXXXXXXXXX XXXXXXXX</span></p> <p><span XXXXX="XX">-X (x - X) + X = 2</span></p> <p><span class="s1"><span class="Apple-tab-span"> </span>-2x + 8 + X = X</span></p> <p><span XXXXX="s1"><span class="XXXXX-tab-span"> </span>-2x = -XX</span></p> <p><span XXXXX="XX"><span XXXXX="Apple-tab-span"> </span>x = -14/-2</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-tab-span"> </span>x = 7</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXX #X</span></p> <p><span XXXXX="s1">(a) Setting up XXX XXXXXXXX: XX - 10 = 35</span></p> <p><span XXXXX="XX"><span class="XXXXX-tab-span"> </span>XX = XX</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-tab-span"> </span>x = X</span></p> <p><span class="s1">XXXXXXXXXXXX x = 5 XXXX the original equation</span></p> <p><span XXXXX="XX">X (9) - XX = 35</span></p> <p><span XXXXX="XX" <the="" XXXXXXXX="" XXXXX,="" so="" the="" XXXXXX="" XX="" XXXXXXX.="">span class="Apple-converted-XXXXX"&XX;</span></p> <p><span XXXXX="XX">(b) XXXXXXX up XXX equation: (X(x+X)) + 10 = X</span></p> <p><span class="s1">XXXXX XXX distribution method:</span></p> <p><span class="XX">XX + 21 + 10 = X</span></p> <p><span XXXXX="XX">3x = X- XX - XX</span></p> <p><span class="s1">XX = - XX</span></p> <p><span XXXXX="s1">x = -X</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXXXX</span></p> <p><span XXXXX="s1">X. x/X - 3 XX comprised of x divided XX X, and XXXXXXX (subtracted) by 3.</span></p> <p><span class="s1">Hence, XXX correct XXXXXX XX (X).</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">2. 6x + X = X</span></p> <p><span XXXXX="XX">6x = X - 1</span></p> <p><span class="s1">XX = 3</span></p> <p><span class="s1">x = X/X = 1/X</span></p> <p><span class="s1">The answer XX (X)</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">X. X(x-X) - X = 24</span></p> <p><span XXXXX="XX">X(x-2) = 24 + X</span></p> <p><span class="XX">5x - XX = XX</span></p> <p><span class="s1">XX = 40</span></p> <p><span XXXXX="s1">x = XX/5 = 8</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">The correct answer is (X)</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"><b>XXXXXXXXXXXX</b></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">4.<span class="Apple-converted-space"></span></span></p> <p><span class="s2">(x + X) </span><span XXXXX="XX">= 7</span></p> <p><span class="XX"><span XXXXX="XXXXX-converted-space"> </span>X</span></p> <p><span class="s1"></span> </p> <p><span class="XX">x + X = XX</span></p> <p><span class="s1">x = XX - 5</span></p> <p><span class="XX">x = 16</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5. XX the XXXXXXX, let Max’s age XX m, Zeke’s age be X. <span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="XX">XXX XX set XX XXX XXXXXXXX.</span></p> <p><span class="XX">2(m-3) + X = XX<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">X = 8</span></p> <p><span class="s1">Substituting z = X</span></p> <p><span XXXXX="s1">2 (m - X) + X = XX</span></p> <p><span class="XX">XX - 6 + 8 = 26</span></p> <p><span class="XX">XX = XX + X - X</span></p> <p><span XXXXX="XX">XX = XX</span></p> <p><span XXXXX="XX">m = XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXX answer is XXXXXXX because m - 3 = X, XX XXXXXX it XX XX, XXX to add it XX 8 is 26.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">The XXXXXXXX holds.</span></p> <p><span class="s1"></span> </p> <p><span class="XX">6.<span class="Apple-converted-XXXXX"> </span>(a) F = 2W + XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(b) F = XX + 2L</span></p> <p><span XXXXX="XX">F = 2(XX) + X(XX)</span></p> <p><span XXXXX="s1">X = XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(c) If X = XXX, XXX X = 30, then:</span></p> <p><span XXXXX="s1">120 = XX + X(XX)</span></p> <p><span class="XX">2W = 60</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">X. (a) x was multiplied by X, the result XXX reduced XX 1, the result was multiplied XX 5, the XXXXXX XXX divided by 3, the result XXX XXXXXXX XX 4, XXX result was equated XX XX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(b) </span><span XXXXX="s2">5 (2x - 1) </span><span XXXXX="s1">- 4 = XX</span></p> <p><span XXXXX="XX"><span XXXXX="Apple-tab-span"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXXXXXX XXXXXXXXXX by 3, expand left hand side XX XXX XXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXX - X - XX = XX</span></p> <p><span class="s1">10x = XX</span></p> <p><span XXXXX="s1">x = XX/XX</span></p> <p><span class="s1">x = 5</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">X. (a) x was multiplied XX 3, the XXXXXX was XXXXX XX X, the XXXXXX was multiplied XX X, the XXXXXX was equated to -XX.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">4(3x + 2) = -16</span></p> <p><span class="XX">XX + 2 = -64</span></p> <p><span XXXXX="s1">3x = -66</span></p> <p><span class="XX">x = -22</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(b) X(3x + X) = -16</span></p> <p><span class="s1">XXX + X = -XX</span></p> <p><span XXXXX="XX">12x = -24</span></p> <p><span XXXXX="s1">x = -X</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></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 class="XX"></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="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 class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></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="XX"></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 class="s1"></span> </p> <p><span class="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 class="XX"></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 XXXXX="XX">464CCAlg1U2L8Inequalities<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">INEQUALITIES (JUST XXXXXXX TRUE/FALSE QUESTION) COMMON XXXX ALGEBRA I</span></p> <p><span class="XX"></span> </p> <p><span class="s1">Exercise #X</span></p> <ol> <li><span XXXXX="XX">XXXX (b) True (c) XXXXX (d) XXXX (e) True (f) True (g) False (h) XXXX</span></li> </ol> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #2</span></p> <p><span XXXXX="s1" <the="" XXXXXXXXX="" is="" XXXX.="" X="" XX="" XXXX="" XXXX="" -8="" (a="" positive="" XXXXXX="" XXXXXX="" a="" XXXXXXXX="" XXXXXX).="">span class="Apple-XXXXXXXXX-XXXXX"&XX;</span></p> <p><span XXXXX="s1"></span> </p> <ol> <li><span XXXXX="XX">True</span></li> </ol> <p><span class="s1"></span> </p> <p><span XXXXX="XX">-4<span class="XXXXX-tab-span"> </span>-3<span class="Apple-tab-span"> </span>-X<span class="XXXXX-tab-span"> </span>-1<span class="Apple-tab-span"> </span>X<span XXXXX="XXXXX-tab-span"> </span>X<span XXXXX="Apple-tab-span"> </span>X<span class="Apple-tab-span"> </span>X</span></p> <p><span class="XX">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="s1">(b) False</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">-5 <span class="XXXXX-tab-span"> </span>-X<span class="XXXXX-tab-span"> </span>-X</span></p> <p><span class="XX">XXXXXXXXXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(c) XXXX</span></p> <p><span class="s1"></span> </p> <p><span class="s1">-6<span XXXXX="XXXXX-tab-span"> </span>-5<span class="XXXXX-tab-span"> </span>-X<span XXXXX="XXXXX-tab-span"> </span>-3<span class="Apple-tab-span"> </span>-2<span XXXXX="Apple-tab-span"> </span>-1<span XXXXX="Apple-tab-span"> </span>0</span></p> <p><span XXXXX="XX">________________________________________</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXX #4</span></p> <p><span class="XX">X(x - 2) ≥ 2x + X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(a) X(XX - 2) ≥ X (XX) + X</span></p> <p><span XXXXX="XX">XX ≥ 20 + X</span></p> <p><span class="s1">XX ≥ 21</span></p> <p><span XXXXX="XX">XXX inequality XX XXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(b) X(X - 2) ≥ X (5) + X</span></p> <p><span class="XX">X ≥ XX</span></p> <p><span class="XX">XXX inequality is XXXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(c) 3(X - 2) ≥ X (X) + X</span></p> <p><span class="s1">-X ≥ X</span></p> <p><span XXXXX="XX">XXX inequality is XXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(d) 3(X - 2) ≥ X (X) + 1</span></p> <p><span class="s1">XX ≥ XX</span></p> <p><span class="s1">XXX XXXXXXXXXX XX true</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Exercise #5</span></p> <p><span class="s1">(a) 2x + 4 &XX; 4x - 1</span></p> <p><span class="XX">x = 1</span></p> <p><span XXXXX="s1">2(X) + 4 &XX; X(1) - X</span></p> <p><span XXXXX="s1">X > 3</span></p> <p><span class="XX">The XXXXXXXXXX is true</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">(b) -3 (x+X) ≥ </span><span XXXXX="s2">x+7</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span>X<span XXXXX="XXXXX-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span>for x = -X</span></p> <p><span class="s1">-6 (x + 5) ≥ x + X</span></p> <p><span class="XX">-X (-3 + 5) ≥ -3 + X</span></p> <p><span class="XX">-XX ≥ X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXX inequality is XXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">(c) x</span><span XXXXX="s4"><sup>2 </sup></span><span class="s1">-10x + X &XX; XX + 5x<span XXXXX="Apple-tab-span"> </span>XXX x = -X</span></p> <p><span XXXXX="XX">XXXXXXXXXX x = -2</span></p> <p><span class="XX">(-X)</span><span class="s4"><XXX>2 </sup></span><span XXXXX="XX">-XX(-2) + X < XX + 5(-X)</span></p> <p><span class="XX">4 + 20 + X &XX; 20 - XX</span></p> <p><span XXXXX="s1">XX < 10</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">The inequality is false</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(d) </span><span XXXXX="s2">2 (x - 5)</span><span XXXXX="XX"> + X ≤ </span><span class="s2">x - X </span><span XXXXX="s1"><span class="XXXXX-XXXXXXXXX-XXXXX"> <span XXXXX="XXXXX-tab-span"> </span></span>XXX x = 5</span></p> <p><span XXXXX="s1"><span class="Apple-tab-span"> </span>X<span XXXXX="XXXXX-tab-span"> </span><span class="Apple-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"> </span><span class="s2">X (X - X)</span><span XXXXX="s1"> + 1 ≤ </span><span class="XX">X - X </span><span XXXXX="XX"><span class="Apple-converted-XXXXX"> <span class="Apple-tab-span"> </span></span>for x = X</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-tab-span"> </span>X<span class="XXXXX-tab-span"> </span><span class="XXXXX-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"><span XXXXX="XXXXX-tab-span"> </span>X + 1 ≤ 1/3</span></p> <p><span XXXXX="s1"><span XXXXX="Apple-tab-span"> </span><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X ≤ 1/3</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1" <XXX="" inequality="" XX="" XXXXX="">span XXXXX="XXXXX-converted-XXXXX"&XX;</span></p> <p><span class="XX"></span> </p> <p><span class="XX">INEQUALITIES XXXXXX XXXX XXXXXXX I HOMEWORK</span></p> <p><span class="XX">XXXXXXX</span></p> <ol> <li><span XXXXX="s1">(a) XXXX (b) XXXXX (c) XXXXX (d) XXXX (e) XXXXX (f) True (g)True (h) False</span></li> </ol> <p><span XXXXX="XX">X. (a) XX + 2 ≤ XX - 5 <span class="Apple-tab-span"> </span>XXX x = 8</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-tab-span"> </span>X(8) + X ≤ X(8) - 5</span></p> <p><span class="XX"><span class="XXXXX-tab-span"> </span>XX + 2 ≤ XX - 5</span></p> <p><span class="s1"><span class="Apple-tab-span"> </span>XX ≤ 11</span></p> <p><span XXXXX="XX">The inequality XX false</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(b)<span XXXXX="XXXXX-converted-XXXXX"> </span>XX + X ≤ 2 - 3x <span XXXXX="XXXXX-tab-span"> </span>XXX x = -2</span></p> <p><span XXXXX="s1"><span class="Apple-converted-XXXXX"> </span>3(-2) + X ≤ X - 3(-2)</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-X + X ≤ -X</span></p> <p><span XXXXX="XX">XXX inequality is XXXX</span></p> <p><span class="XX"></span> </p> <p><span class="s1">(c) (x-3)</span><span XXXXX="s4"><XXX>2 </sup></span><span XXXXX="s1">> -3(x+X)<span XXXXX="Apple-tab-span"> </span>for x = X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(3-3)</span><span XXXXX="XX"><XXX>2 </XXX></span><span class="XX">&XX; -X(3+2)</span></p> <p><span class="s1">0 > -XX</span></p> <p><span XXXXX="s1">XXX inequality XX true</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(d) </span><span class="s2">X (3-2x)</span><span XXXXX="XX"> ≤ XX - X(x+X)<span XXXXX="XXXXX-tab-span"> </span>XXX x = -X</span></p> <p><span class="s1"><span XXXXX="XXXXX-tab-span"> </span>5</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">2 (3+2)</span><span XXXXX="s1"> ≤ -2 - 3(0)<span XXXXX="Apple-tab-span"> </span>XXX x = -1</span></p> <p><span class="XX"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>5</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">12/X ≤ -2</span></p> <p><span XXXXX="XX">The inequality is XXXXX</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(e) </span><span class="XX">3</span><span class="XX"><XXX>X</sup></span><span class="XX"> - 4(X) + X</span><span XXXXX="XX"> &XX; </span><span class="XX">X(X) + X</span></p> <p><span class="s1"><span XXXXX="XXXXX-tab-span"> </span>6<span XXXXX="XXXXX-tab-span"> </span><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X<span XXXXX="XXXXX-tab-span"> </span><span class="Apple-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span>XXX x = 3</span></p> <p><span class="s1"></span> </p> <p><span class="s2">X - 12 + X</span><span XXXXX="XX"> &XX; X</span><span XXXXX="s2"> + 1</span></p> <p><span class="s1"><span XXXXX="XXXXX-converted-XXXXX"> </span>X<span class="Apple-tab-span"> </span><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>5<span class="XXXXX-tab-span"> </span><span class="Apple-tab-span"> </span><span class="XXXXX-tab-span"> </span>for x = 3</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">X</span><span class="s1"> &XX; </span><span XXXXX="XX">XX</span></p> <p><span class="s1">6 <span class="Apple-converted-space"> </span>5<span XXXXX="Apple-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span><span class="XXXXX-tab-span"> </span>for x = X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X > X for x = X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXX inequality is false</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">| </span><span XXXXX="s2">-2 (X - x) </span><span class="s1">| ≥ </span><span class="s2">XX - X</span></p> <p><span class="s1"><span XXXXX="XXXXX-converted-space"> </span>3<span class="Apple-tab-span"> </span><span XXXXX="Apple-tab-span"> </span>X<span XXXXX="Apple-tab-span"> </span><span XXXXX="Apple-tab-span"> </span>for x = -X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">| </span><span class="XX">-X (5 +X) </span><span class="XX">| ≥ </span><span XXXXX="s2">-X - X</span></p> <p><span class="XX"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X<span XXXXX="Apple-tab-span"> </span><span XXXXX="Apple-tab-span"> </span>2<span class="Apple-tab-span"> </span><span class="Apple-tab-span"> </span>XXX x = -X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">X ≥ -2</span></p> <p><span class="XX">The XXXXXXXXXX XX XXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"><b>Applications<span class="XXXXX-converted-XXXXX"></span></b></span></p> <p><span XXXXX="XX"><b>X.<span class="XXXXX-converted-space"></span></b></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"><b>x = XX</b></span></p> <p><span class="s2">3(x + 5) - 1</span><span class="XX"> + 4 (2x - X)<span XXXXX="Apple-converted-XXXXX"> </span>≤ 125</span></p> <p><span class="s1"><span class="XXXXX-converted-XXXXX"> </span>2</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">3(XX + X) - X</span><span class="XX"> + 4 (2(XX) - 3)<span XXXXX="Apple-XXXXXXXXX-space"> </span>≤ 125</span></p> <p><span class="s1"><span class="Apple-XXXXXXXXX-space"> </span>2</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XX/2 + 84 ≤ XXX</span></p> <p><span class="XX">XXX ≤ XXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXX XXXXXXXXXX is XXXX. The XXXXXXX is XXXX XX XXX XX pressure = 12</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"><b>x = XX</b></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s2">3(x + X) - X</span><span class="s1"> + 4 (2x - X)<span class="Apple-converted-space"> </span>≤ XXX</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s2">3(XX + 5) - 1</span><span class="XX"> + X (X(XX) - 3)<span XXXXX="XXXXX-converted-space"> </span>≤ 125</span></p> <p><span class="XX"><span XXXXX="XXXXX-converted-space"> </span>2</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XX/X + XX ≤ XXX</span></p> <p><span XXXXX="XX">118.X ≤ XXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">The XXXXXXXXXX is true. XXX XXXXXXX XX XXXX XX XXX XX pressure = 13</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"><b>x = XX</b></span></p> <p><span class="s2">3(x + X) - 1</span><span XXXXX="XX"> + 4 (2x - 3)<span class="XXXXX-converted-XXXXX"> </span>≤ 125</span></p> <p><span XXXXX="XX"><span class="XXXXX-converted-space"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">3(14 + 5) - X</span><span class="s1"> + 4 (2(XX) - X)<span XXXXX="Apple-converted-XXXXX"> </span>≤ 125</span></p> <p><span XXXXX="s1"><span class="XXXXX-converted-XXXXX"> </span>X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XX + XXX ≤ XXX</span></p> <p><span class="XX">128 ≤ XXX</span></p> <p><span XXXXX="s1">The inequality XX false. XXX XXXXXXX is unsafe XX XXX at pressure = 14</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(b) x = X</span></p> <p><span class="s2">3(x + X) - X</span><span class="s1"> + X (XX - X)<span class="XXXXX-XXXXXXXXX-space"> </span>&XX; XX</span></p> <p><span XXXXX="s1"><span class="Apple-XXXXXXXXX-XXXXX"> </span>2</span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s2">X(X + X) - 1</span><span class="s1"> + X (2(X) - 3)<span class="Apple-converted-XXXXX"> </span>> 35</span></p> <p><span class="XX"><span class="Apple-XXXXXXXXX-space"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">14.X + 28 &XX; XX</span></p> <p><span class="s1">XX.5 &XX; XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX" <XXX="" machine="" XXXX="" run="" as="" the="" XXXXXXXX="" is="" above="" 35="" pounds="" XXX="" XXXXXX="" inch.="">span XXXXX="Apple-XXXXXXXXX-space"&XX;</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXXX</span></p> <p><span class="XX">X. (a) X(-X) + 2 &XX; 1 - 3(-X)</span></p> <p><span class="s1"><span XXXXX="Apple-tab-span"> </span>-6 < 7</span></p> <p><span XXXXX="s1" <the="" XXXXXXX="" XXXX="" is="" <="">span XXXXX="XXXXX-XXXXXXXXX-space"&XX;</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(b) (2x + 1)/ (-3) < 4 / (2-XX)</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(X(-2) + X)/ (-3) > X / (X-X(-X))</span></p> <p><span XXXXX="s1">X &XX; 4/X</span></p> <p><span XXXXX="s1">1 &XX; 1/X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXX correct sign XX &XX;</span></p> <p><span class="XX"></span> </p> <p><span class="s1">(c) 2x</span><span XXXXX="s4"><XXX>X </sup></span><span class="XX">+X > |1 - XX|</span></p> <p><span class="XX">2(4)</span><span XXXXX="s4"><XXX>X </XXX></span><span class="s1">+X &XX; |1 - 9(4)|</span></p> <p><span class="XX">XX > XX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">The correct XXXX is ></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(d) ((3(2x - 5)) / 3) + 2 <span class="XXXXX-tab-span"> </span>&XX; X(X(x) - 6)</span></p> <p><span XXXXX="XX">((3(2(X) - X)) / X) + 2 <span class="Apple-tab-span"> </span>&XX; X(X(X) - X)</span></p> <p><span class="XX">X < 72</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXX XXXXXXX sign XX <</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 XXXXX="s1"></span> </p> <p><span class="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"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="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 XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="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 XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX</span></p> <p><span XXXXX="XX">EQUATIONS XXX XXXXX XXXXXXXXX COMMON CORE XXXXXXX I</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXXXXXX #X</span></p> <p><span class="XX">(3) X(XX + 1)<span XXXXX="XXXXX-converted-XXXXX"> </span>XX not an XXXXXXXX.</span></p> <p><span class="XX">XXX XXXXX three options are XXXXXXXXX XX they XXX in XXX XXXXXXXX format.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Exercise #2</span></p> <p><span XXXXX="XX">(a) We cannot determine XXXXXXX XX - 8 = XX - x is true or false as we XX XXX know XXX XXXXX of the unknowns, and hence we XX not know XX the XXXXXXXX holds.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(b) If x = 5, the XXXXXXXX evaluates to 10 - X = 10 - 5 &XX;>> 2 = X. The equation will be XXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(c) XX - 8 = 10 - x</span></p> <p><span class="s1">X(6) - 8 = XX - X</span></p> <p><span XXXXX="XX">X = 4</span></p> <p><span XXXXX="XX" <the="" equation="" XX="" true="" XX="" XXXX="" XXXXX="" hold.="">span class="XXXXX-XXXXXXXXX-XXXXX"&XX;</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Exercise #X</span></p> <p><span class="XX">(a)<span class="XXXXX-XXXXXXXXX-space"> </span>2x + X = 17</span></p> <p><span XXXXX="XX">X(X) + X = 17</span></p> <p><span XXXXX="XX">17 = XX</span></p> <p><span XXXXX="XX">The equation is true.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(b) </span><span class="XX">(x - 20)</span><span class="XX"> = -4</span></p> <p><span class="s1"><span XXXXX="XXXXX-converted-space"> </span>X</span></p> <p><span class="XX"></span> </p> <p><span class="s2">(10 - 20)</span><span XXXXX="XX"> = -X</span></p> <p><span class="XX"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>5</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(-10)</span><span XXXXX="XX"> = -4</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-converted-XXXXX"> </span>5</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">-2 = -X</span></p> <p><span class="XX"></span> </p> <p><span class="s1">The XXXXXXXX is XXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(c) 2 (x+X) = 6 (x - 1)<span XXXXX="Apple-converted-space"></span></span></p> <p><span class="s1">2 (4 + 5) = 6 ( 4 - 1)</span></p> <p><span class="s1">XX = XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">The equation XX true</span></p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(d)<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1">x</span><span class="s4"><XXX>X </XXX></span><span class="XX">-X</span><span class="XX"> </span><span XXXXX="s1">= 2x + X</span></p> <p><span class="XX">(-X)</span><span class="s4"><XXX>X </XXX></span><span class="XX">-X</span><span XXXXX="XX"> </span><span XXXXX="s1">= 2(-1) + 2</span></p> <p><span XXXXX="XX">X -X = 2 - 2</span></p> <p><span class="s1">0 = 0</span></p> <p><span class="s1">The XXXXXXXX XX XXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(e) </span><span class="XX">3 (x + 2)</span><span class="XX"> - X = X</span></p> <p><span XXXXX="s1"><span class="XXXXX-tab-span"> </span>4</span></p> <p><span class="s1"></span> </p> <p><span class="XX">3 ((2) + 2)</span><span class="s1"> - 1 = 5</span></p> <p><span class="XX"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">12 - 4 = XX</span></p> <p><span XXXXX="XX">X = XX</span></p> <p><span XXXXX="s1">XXX XXXXXXXX XX XXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="XX">(f) 3/4 x - X = -1/2 x + X</span></p> <p><span class="s1">3/X (X) - X = -1/X (8) + 9</span></p> <p><span class="XX">6 - 1 = X - X</span></p> <p><span class="s1">X = X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">The XXXXXXXX is XXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Exercise #X</span></p> <p><span XXXXX="XX">XX - 3 = X x + 11</span></p> <p><span class="XX">X(7) - 3 = 2(7) + XX</span></p> <p><span class="XX">XX = 25</span></p> <p><span XXXXX="s1">XX XX correct XX a solution.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Kirk’s XXXXX was to complete XXX operations 7-X XXX X + XX before the XXXXXXXXXX 4(X) and X(7).</span></p> <p><span XXXXX="s1">Multiplication should always XXXX before XXXXXXXX and XXXXXXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXXX</span></p> <p><span XXXXX="s1">X. (a) XXXXXXXXXX (b) XXXXXXXX (c) Equation (d) Expression (e) Expression (f) Equation</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">2. (a) x - X = XX<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1">X - 4 = 12<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">X = 12</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(b) (X+x) / 4 = X</span></p> <p><span class="s1">(X+X) / X = 3</span></p> <p><span XXXXX="s1">XX/4 = 3</span></p> <p><span XXXXX="XX">XXX equation is true. The XXXXXXXX XX valid for the given equation.</span></p> <p><span class="XX"></span> </p> <p><span class="XX">(c) (x + X) - X(x-X) = X</span></p> <p><span XXXXX="s1">(X + X) - 3(X-4) = X</span></p> <p><span XXXXX="XX">6 - X(0) = 6</span></p> <p><span XXXXX="XX">6 = X</span></p> <p><span class="s1">XXX equation XX XXXX. XXX solution is XXXXX for the XXXXX XXXXXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(d) 1/X (x+2) = - X/5 (x-9)</span></p> <p><span XXXXX="s1">1/3 (X+X) = - 2/5 (4-9)</span></p> <p><span XXXXX="XX">X = X</span></p> <p><span class="XX"></span> </p> <p><span class="s1">The XXXXXXXX XX XXXX. The XXXXXXXX is XXXXX XXX XXX XXXXX equation.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Applications</span></p> <p><span class="XX">3.<span class="Apple-converted-space"></span></span></p> <p><span XXXXX="s1">Day X: P = 6(1) + X = 11</span></p> <p><span XXXXX="XX">Day 2: X = 6(2) + 5 = 17</span></p> <p><span class="s1">XXX X: X = X(X) + 5 = XX</span></p> <p><span class="s1">XXX 4: P = X(4) + X = 29</span></p> <p><span XXXXX="s1">Day 5: X = 6(5) + X = XX</span></p> <p><span XXXXX="XX">Day X: X = 6(X) + X = 41</span></p> <p><span class="s1">XXX X: X = 6(7) + 5 = 47</span></p> <p><span class="XX">XXX 8: P = X(X) + 5 = XX</span></p> <p><span class="XX">We will observe XXXXX X on XXX X, Stage 2 XX Day 2 to 3, XXXXX X XXX XXX 4 XX 7, and XXXXXXXXX state XX XXX 8.<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXXX</span></p> <p><span class="s1">4. XXX + 30 = 250</span></p> <p><span class="s1">(a) Savings XXXXX 9 XXXXX = XX (X) + XX = 255</span></p> <p><span XXXXX="XX">Yes, bobby will XXXX XXXXXX as XXX &XX; 250</span></p> <p><span class="s1">(b) 25w + 30 + 10w = 250 + XXX</span></p> <p><span XXXXX="s1">After X weeks of XXXXXX = 25(9) + XX + XX(9) = 345</span></p> <p><span XXXXX="XX">XXXXX needs XXX + 100 = 350</span></p> <p><span XXXXX="s1">Nine XXXXX is XXX XXXXXX XXXX XXX Bobby XX save XX XXX &XX; XXX</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="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 class="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 class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="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 XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></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 class="XX"></span> </p> <p><span XXXXX="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="XX"></span> </p> <p><span XXXXX="XX"></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 class="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 XXXXX="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">527CCAlg1U2L9SolvingLinearInequalities</span></p> <p><span class="s1">SOLVING XXXXXX INEQUALITIES COMMON CORE ALGEBRA I</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Exercise #X</span></p> <p><span class="XX">(a) XXX XXX XXXXXXXXXX is X < 11. XXXX is a true XXXXXXXXXX.</span></p> <p><span XXXXX="s1">(b) XXX XXX XXXXXXXXXX is X &XX; X. This XX a XXXX inequality.</span></p> <p><span XXXXX="XX">(c) XXX new inequality is X < XX. This XX a true XXXXXXXXXX.</span></p> <p><span class="XX">(d) The XXX XXXXXXXXXX XX 2 &XX; 4. This is a true XXXXXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Exercise #X</span></p> <p><span XXXXX="XX">(a) XXX XXX XXXXXXXXXX XX -X < -16. This XX a false inequality.</span></p> <p><span class="XX">(a) The new inequality XX -2 < -X. This XX a XXXXX inequality.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Exercise #3</span></p> <p><span XXXXX="XX">(a) The XXXXXXXXXX is 5 &XX; 8. When XXXXXXXXXX XX -4, it becomes -20 < -32. XXXX becomes XXXXX.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXXXXX #X</span></p> <p><span XXXXX="XX">(a) XX - 3 ≥ 5</span></p> <p><span XXXXX="s1">4x ≥ 8</span></p> <p><span class="XX">x ≥ X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(b) / (c)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXX five numbers XXX 3, 4, X, X, X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">The XXXXXXXX is indicated XX the XXXXX >&XX;>>&XX;&XX;&XX;&XX;&XX;</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"><span XXXXX="Apple-tab-span"> </span><span class="Apple-tab-span"> </span><span XXXXX="Apple-tab-span"> </span><span XXXXX="Apple-tab-span"> </span><span class="XXXXX-tab-span"> </span><span class="XXXXX-tab-span"> </span> <span XXXXX="XXXXX-converted-space"> </span>>&XX;&XX;>>>&XX;>&XX;&XX;&XX;&XX;>>&XX;>>&XX;&XX;&XX;>>&XX;>>&XX;>>&XX;>&XX;></span></p> <p><span class="s1">-XX<span class="Apple-XXXXXXXXX-XXXXX"> </span>-9<span class="XXXXX-converted-space"> </span>-X <span XXXXX="Apple-XXXXXXXXX-space"> </span>-7<span class="XXXXX-converted-space"> </span>-6 <span class="XXXXX-converted-XXXXX"> </span>-X <span XXXXX="XXXXX-converted-space"> </span>-4<span class="Apple-converted-XXXXX"> </span>-X <span XXXXX="Apple-converted-XXXXX"> </span>-2 <span XXXXX="XXXXX-converted-XXXXX"> </span>-1<span class="Apple-converted-XXXXX"> </span>0<span XXXXX="XXXXX-converted-XXXXX"> </span>X <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>X <span XXXXX="Apple-converted-space"> </span>3<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="XXXXX-converted-XXXXX"> </span>X<span XXXXX="Apple-XXXXXXXXX-space"> </span>6<span class="Apple-XXXXXXXXX-XXXXX"> </span>7<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>8<span XXXXX="Apple-converted-XXXXX"> </span>9<span class="Apple-XXXXXXXXX-XXXXX"> </span>XX</span></p> <p><span XXXXX="s1">|____|____|XXXX|XXXX|XXXX|____|____|XXXX|XXXX|____|XXXX|XXXX|____|XXXX|XXXX|XXXX|XXXX|XXXX|____|____|</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXXXXXXX #5<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">(a) XXXXXXX the left hand expression XX an equivalent XXXXXXXXXX using XXXXXXXX.</span></p> <p><span XXXXX="XX">8 - 2x > XX</span></p> <p><span class="XX">X - XX > 2x</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(b) XXXXX XXX XXXXXXXXXX</span></p> <p><span class="s1">8 - XX > 16</span></p> <p><span XXXXX="s1">8 - XX > 2x</span></p> <p><span class="s1">-X &XX; XX</span></p> <p><span class="s1">-X &XX; x</span></p> <p><span class="XX">x < -4</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(c) XXX x = -X</span></p> <p><span class="s1">XX -6 < -4, XXX original inequality XX true</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(d)<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="XX">XXX XXXXXXXX is indicated by the XXXXX >&XX;&XX;&XX;&XX;>>>></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"><&XX;<&XX;&XX;<<&XX;&XX;<<<<<<&XX;<&XX;<<<<<</span></p> <p><span class="s1">-XX<span XXXXX="XXXXX-converted-space"> </span>-9<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-X <span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-7<span XXXXX="XXXXX-converted-space"> </span>-6 <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-5 <span class="Apple-XXXXXXXXX-XXXXX"> </span>-X<span class="Apple-XXXXXXXXX-XXXXX"> </span>-X <span class="Apple-XXXXXXXXX-space"> </span>-X <span class="Apple-XXXXXXXXX-XXXXX"> </span>-X<span class="XXXXX-converted-space"> </span>X<span class="Apple-XXXXXXXXX-space"> </span>1 <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X <span class="Apple-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>4<span XXXXX="XXXXX-converted-space"> </span>X<span XXXXX="Apple-converted-XXXXX"> </span>6<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="XXXXX-converted-space"> </span>X<span class="Apple-converted-XXXXX"> </span>9<span XXXXX="XXXXX-converted-space"> </span>10</span></p> <p><span class="XX">|XXXX|XXXX|XXXX|XXXX|XXXX|XXXX|____|XXXX|XXXX|XXXX|XXXX|XXXX|XXXX|____|____|XXXX|____|____|XXXX|XXXX|</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Exercise #6<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">(a)</span></p> <p><span class="s1">X (x-2) - 3 (2x + 1) ≤ XX + X - 3(x+X)</span></p> <p><span class="XX">XX - 16 - XX - X ≤ XX + 4 - XX - X</span></p> <p><span XXXXX="s1">2x - 19 ≤ XX + X</span></p> <p><span class="s1">-XX ≤ 20</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX">(b)<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">X (x-X) - 3 (2x + 1) ≤ 7x + X - 3(x+1)</span></p> <p><span class="s1">8x - 16 - XX - 3 ≤ XX + 4 - 3x - X</span></p> <p><span XXXXX="XX">XX - XX ≤ XX + 1</span></p> <p><span XXXXX="XX">-2x ≤ XX</span></p> <p><span XXXXX="XX">-x ≤ 10</span></p> <p><span class="s1">x ≥ -XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"><span class="Apple-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span><span class="XXXXX-tab-span"> </span> <span class="Apple-converted-space"> </span>O&XX;&XX;&XX;>&XX;>&XX;&XX;>&XX;>>&XX;&XX;>>>>>>>&XX;>>>&XX;>>&XX;&XX;</span></p> <p><span XXXXX="XX">-16 -XX -XX- <span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>13 -12<span class="XXXXX-converted-XXXXX"> </span>-XX <span class="Apple-XXXXXXXXX-XXXXX"> </span>-XX<span class="XXXXX-XXXXXXXXX-space"> </span>-9<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-8 <span class="Apple-converted-XXXXX"> </span>-7<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-6 <span class="XXXXX-XXXXXXXXX-space"> </span>-X <span XXXXX="XXXXX-converted-XXXXX"> </span>-X<span XXXXX="XXXXX-converted-space"> </span>-X <span XXXXX="XXXXX-converted-XXXXX"> </span>-X <span XXXXX="XXXXX-converted-XXXXX"> </span>-X<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span class="s1">|XXXX|XXXX|XXXX|XXXX|XXXX|____|____|____|____|____||____|XXXX|XXXX|____|XXXX|____|</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(a)<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span class="XX">XX - 6 ≤ XX</span></p> <p><span class="s1">XX ≤ 30</span></p> <p><span class="XX">x ≤ 6</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">The solution XX indicated by the range >>&XX;>>>&XX;>&XX;</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">&XX;&XX;<&XX;<<&XX;&XX;<&XX;&XX;&XX;<<&XX;<&XX;&XX;<&XX;&XX;<&XX;<&XX;&XX;<&XX;<<&XX;&XX;&XX;<<&XX;&XX;<<&XX;&XX;&XX;<&XX;&XX;<&XX;<&XX;<<&XX;&XX;&XX;<<&XX;&XX;O</span></p> <p><span XXXXX="s1">-XX<span class="Apple-converted-XXXXX"> </span>-9<span XXXXX="Apple-XXXXXXXXX-space"> </span>-X <span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-7<span class="Apple-converted-space"> </span>-X <span XXXXX="Apple-XXXXXXXXX-space"> </span>-X <span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-4<span class="XXXXX-XXXXXXXXX-space"> </span>-X <span XXXXX="Apple-converted-space"> </span>-X <span class="Apple-XXXXXXXXX-XXXXX"> </span>-X<span XXXXX="Apple-XXXXXXXXX-space"> </span>X<span class="XXXXX-converted-XXXXX"> </span>X <span XXXXX="XXXXX-XXXXXXXXX-space"> </span>2 <span XXXXX="XXXXX-converted-XXXXX"> </span>3<span XXXXX="XXXXX-converted-space"> </span>4<span class="XXXXX-converted-space"> </span>5<span class="XXXXX-converted-space"> </span>X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="XXXXX-XXXXXXXXX-space"> </span>8<span XXXXX="Apple-XXXXXXXXX-space"> </span>9<span class="Apple-converted-XXXXX"> </span>XX</span></p> <p><span XXXXX="XX">|____|XXXX|____|____|____|XXXX|____|____|____|____|____|XXXX|____|____|XXXX|XXXX|XXXX|____|____|XXXX|</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(b)</span></p> <p><span class="s1"></span> </p> <p><span class="s1">X(X-x) ≤ XX</span></p> <p><span XXXXX="s1">XX - 2x ≤ 12</span></p> <p><span XXXXX="s1">XX - 12 ≤ XX</span></p> <p><span class="s1">-2 ≤ XX</span></p> <p><span XXXXX="XX">-X ≤ x</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">The solution is XXXXXXXXX by XXX XXXXX &XX;>>>>&XX;&XX;&XX;></span></p> <p><span class="XX"></span> </p> <p><span class="XX"><<<&XX;&XX;<&XX;&XX;&XX;<<<<&XX;<<&XX;<<<<&XX;<<&XX;&XX;&XX;&XX;&XX;<<<&XX;X</span></p> <p><span XXXXX="XX">-10<span XXXXX="XXXXX-converted-XXXXX"> </span>-9<span XXXXX="Apple-XXXXXXXXX-space"> </span>-8 <span class="Apple-XXXXXXXXX-XXXXX"> </span>-7<span class="Apple-XXXXXXXXX-space"> </span>-X <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-X <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-4<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-X <span class="Apple-converted-XXXXX"> </span>-2 <span XXXXX="XXXXX-converted-space"> </span>-X<span XXXXX="XXXXX-converted-space"> </span>0<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>3<span class="XXXXX-XXXXXXXXX-space"> </span>4<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>5<span class="XXXXX-converted-XXXXX"> </span>X<span class="Apple-XXXXXXXXX-XXXXX"> </span>7<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>8<span XXXXX="Apple-converted-XXXXX"> </span>X<span XXXXX="Apple-converted-space"> </span>10</span></p> <p><span XXXXX="XX">|XXXX|XXXX|XXXX|XXXX|XXXX|____|XXXX|XXXX|____|XXXX|XXXX|XXXX|XXXX|XXXX|XXXX|XXXX|XXXX|XXXX|____|XXXX|</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(c)</span></p> <p><span XXXXX="XX">X - XX &XX; 18</span></p> <p><span XXXXX="s1">-XX &XX; 12</span></p> <p><span class="s1">x &XX; XX/-X</span></p> <p><span XXXXX="s1">x < -X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXX solution XX indicated XX XXX XXXXX >&XX;&XX;>&XX;&XX;>>&XX;</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">&XX;&XX;&XX;<&XX;&XX;&XX;<<&XX;<<<<&XX;<&XX;&XX;<<<&XX;<&XX;<<<</span></p> <p><span class="XX">-XX<span class="Apple-converted-XXXXX"> </span>-X<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-8 <span class="Apple-XXXXXXXXX-space"> </span>-7<span class="Apple-XXXXXXXXX-space"> </span>-6 <span class="Apple-XXXXXXXXX-space"> </span>-5 <span class="Apple-converted-XXXXX"> </span>-4<span XXXXX="Apple-XXXXXXXXX-space"> </span>-X <span class="Apple-XXXXXXXXX-space"> </span>-2 <span XXXXX="XXXXX-converted-XXXXX"> </span>-1<span class="Apple-converted-space"> </span>0<span XXXXX="Apple-converted-space"> </span>1 <span class="Apple-XXXXXXXXX-space"> </span>X <span XXXXX="Apple-converted-XXXXX"> </span>3<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X<span XXXXX="Apple-converted-space"> </span>6<span class="Apple-XXXXXXXXX-space"> </span>7<span XXXXX="XXXXX-converted-XXXXX"> </span>8<span class="XXXXX-XXXXXXXXX-space"> </span>9<span XXXXX="XXXXX-converted-XXXXX"> </span>10</span></p> <p><span class="s1">|XXXX|XXXX|____|____|____|XXXX|____|XXXX|XXXX|____|____|XXXX|XXXX|XXXX|XXXX|XXXX|____|____|____|____|</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(d)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">8x - 6(x-X) &XX; 20 - XX</span></p> <p><span XXXXX="s1">XX - XX + 12 &XX; 20 - 2x</span></p> <p><span class="s1">XX + XX &XX; XX - 2x</span></p> <p><span XXXXX="s1">XX &XX; XX - 12</span></p> <p><span class="XX">4x > X</span></p> <p><span class="s1">x &XX; 2</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"><span class="XXXXX-XXXXXXXXX-space"> </span>&XX;>>>&XX;>>>&XX;&XX;>>>&XX;>&XX;>&XX;&XX;>&XX;&XX;&XX;&XX;>></span></p> <p><span class="XX">-10<span XXXXX="Apple-converted-XXXXX"> </span>-X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-X <span class="Apple-converted-XXXXX"> </span>-7<span class="Apple-XXXXXXXXX-space"> </span>-X <span class="XXXXX-converted-space"> </span>-5 <span class="XXXXX-converted-XXXXX"> </span>-4<span XXXXX="Apple-XXXXXXXXX-space"> </span>-3 <span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-X <span XXXXX="XXXXX-converted-space"> </span>-X<span XXXXX="Apple-converted-space"> </span>0<span class="Apple-XXXXXXXXX-XXXXX"> </span>X <span class="Apple-converted-space"> </span>2 <span class="Apple-XXXXXXXXX-space"> </span>X<span class="XXXXX-converted-space"> </span>X<span class="Apple-XXXXXXXXX-space"> </span>X<span class="Apple-converted-XXXXX"> </span>X<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>7<span XXXXX="XXXXX-converted-space"> </span>8<span class="Apple-XXXXXXXXX-space"> </span>9<span XXXXX="Apple-converted-XXXXX"> </span>10</span></p> <p><span class="XX">|XXXX|XXXX|____|____|XXXX|____|XXXX|____|XXXX|XXXX|XXXX|XXXX|____|XXXX|____|____|____|XXXX|XXXX|XXXX|</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(e)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s2">X (XX + 2)</span><span class="XX"> > </span><span class="s2">1 </span><span XXXXX="XX">x + 2</span></p> <p><span class="XX"><span XXXXX="XXXXX-converted-space"> </span>6 <span class="Apple-converted-XXXXX"> </span>X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">X (2x + X) > 2x + XX</span></p> <p><span XXXXX="s1">XX + X > XX + XX</span></p> <p><span class="s1">XX > 6</span></p> <p><span class="s1">x > 1.X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>&XX;>>>&XX;&XX;>>>&XX;>&XX;>&XX;&XX;&XX;>&XX;&XX;&XX;&XX;>&XX;&XX;&XX;>&XX;</span></p> <p><span class="s1">-XX<span XXXXX="Apple-converted-space"> </span>-X<span class="Apple-converted-space"> </span>-8 <span class="Apple-converted-XXXXX"> </span>-X<span XXXXX="XXXXX-converted-XXXXX"> </span>-X <span XXXXX="XXXXX-converted-space"> </span>-5 <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-X<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-3 <span class="XXXXX-converted-space"> </span>-2 <span class="Apple-XXXXXXXXX-space"> </span>-X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="XXXXX-converted-XXXXX"> </span>X <span XXXXX="Apple-XXXXXXXXX-space"> </span>X <span class="XXXXX-converted-space"> </span>3<span class="XXXXX-XXXXXXXXX-space"> </span>4<span XXXXX="Apple-XXXXXXXXX-space"> </span>5<span class="Apple-XXXXXXXXX-XXXXX"> </span>6<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>7<span class="Apple-converted-space"> </span>X<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="XXXXX-XXXXXXXXX-space"> </span>10</span></p> <p><span class="s1">|XXXX|XXXX|XXXX|XXXX|XXXX|____|____|____|XXXX|____|____|XXXX|XXXX|____|____|XXXX|____|____|XXXX|XXXX|</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Applications</span></p> <p><span class="XX">X. (a)<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">XXXXX will pay XX + 5.25n</span></p> <p><span XXXXX="XX">Edwin will XXX XXXX than Rhea if:</span></p> <p><span XXXXX="XX">XX + X.XXX &XX; XXX</span></p> <p><span XXXXX="s1">Solving the XXXXXXXXXX:</span></p> <p><span XXXXX="XX">X.25n > XXX - XX</span></p> <p><span class="XX">X.25n &XX; XX</span></p> <p><span class="s1">n > XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(b)<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">Edwin XXX take 11 XXXXX XXX XXXXX pay XXXX XXXX XXXX. XXXX XX XXXXXXX XX XXXX XXXX them XXXXX, XXX XX or XXXXX XXXX XXXX Edwin XX XXX XXXX than XXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXXX</span></p> <p><span XXXXX="XX">3. (a) XX + b ≥ XX</span></p> <p><span XXXXX="XX">ax ≥ cd - b</span></p> <p><span XXXXX="s1">x ≥ (XX - b) / a</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(b)<span XXXXX="Apple-converted-space"></span></span></p> <p><span class="s2">a (x + 2) </span><span class="XX">&XX; c</span></p> <p><span XXXXX="XX"><span class="Apple-converted-XXXXX"> </span>b <span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XX + 2a &XX; XX</span></p> <p><span XXXXX="s1">x &XX; </span><span XXXXX="XX">XX - XX<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX"><span class="Apple-converted-space"> </span>a<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">4. The XXXXXXX answer XX (X)<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">XX + b > d</span></p> <p><span class="XX">x > (d - b) /a</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 XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXXXX</span></p> <p><span class="XX">Document X: Modern XXX XXXXXXXXXXXXXXX/Dictatorship: X XXXXX XX XXXXX Korea<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">What historical XXXXXXX XXX you provide XX XXX North Korean XXXXXXXXXX XXXX XX XXXXXXXXXX with XXX XXXXXXXX XXXXX you chose?</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1" <XXX="" XXXXXXXX="" issue="" XXXX="" most="" XXXXXXXXX="" me="" XX="" the="" XX="" XXXXX="" XXXXXX.="" XXXXXXXXX="" to="" XX,="" rights="" XXX="" belong="" XXX="" XXXXXX,="" regardless="" XXXXX="" gender,="" XXXXXX="" XXXXXX,="" ethnic="" identity,="" XXXXXXXXXX="" background,="" faith="" or="" XXXXX="" demographic="" XXXXXXXXXXX.="" these="" include="" right="" XXXX="" and="" XXXXXXX,="" freedom="" from="" torture="" XXXXXXXXXXX,="" XXXXXXX="" views,="" XXXXX="" work="" XXX="" a="" XXXX="" XXXX,="" so="" on.="" XXXXX="" XXXXX’s="" historical="" context="" grim,="" its="" record="" XXXXXX.="" passage,="" 2014="" XX="" XXXXXXXXXX="" inquiry="" XXXXX="" XXXXXXXXXX="" committed="" gross,="" systematic="" XXXXXXXXXX="" abuses,="" XXXXXXXXX="" XXXXXXXXXXXXX,="" XXXXXXX,="" rape="" XXXXXXXXXXXX.="">span XXXXX="XXXXX-converted-XXXXX"></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXXXX Korea was formed out XX the repressive government of Kim Il-Sung, a post-XXX nationalist XXXXXXXXX XXX XXXXXXXXX XXX XXXXX XXXXXXXXX of XXX North Korean XXXXXX in order to XXXX with national emergencies such as XXX Korean XXX. Furthermore, Kim XX-Sung XXX XXX descendants XXXX XXXXXXXXX to consolidate power in a way XXXX curtails human rights in XXXXX XXXXX. They have created a XXXXXX XXXXX XXXX speech XX disallowed, and XXXXX XXXXXXXX penalties XXXXXXXXX abuse XXXXX rights. XXXXX XXXXXXX the XXX XX XXXXXXX, XXXXXX labor XXX XXXXXXXXXXXXX in XXXXXXXX conditions. There XX also no XXXXXXXXXXX XXX process XXXXXX XXX judicial system. XXX lack of XXXXX rights in XXXXX XXXXX XX a XXXXXX of XXXXXXX of XXXXXXXXXXXXX by the North Korean XXXXXXXXX dictatorship, in a bid XX XXXXXXXX XXXXX firm XXXX XX power over XXX country.<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXX XXXX the issue XX power/human rights in XXX government of North XXXXX XXXXXX XXXXXX?</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1" <the="" XXXXX="" korean="" people="" are="" affected="" in="" three="" main="" ways:="" famine,="" inhumane="" imprisonment="" and="" XXXXXX="" XXXXX.="" XXXXXXXX,="" XXXXXXX="" XXXXXXXXXXXXX="" XX="" XXX="" economy="" XXX="" led="" to="" experience="" XXXXXXXX="" famines="" XXXX="" XXXXX="" XXXXXXXX.="" XXXX="" deprived="" XXXX="" XXXXXXX="" work="" live.="" XXXXXXXXXXX,="" koreans="" unable="" access="" free="" XXXXX="" such="" as="" XXX="" york="" times,="" which="" XXXXXX="" right="" XXXXXX.="" XXXX="" XXX="" XXXX,="" XXXX="" movement="" XXXXXXX="" highly="" restrictive="" sites="" through="" border="" XXXXXXXX="" XXXXXXXX="" checkpoints.="" finally,="" XXXXXXXXX="" XXXXXXXXX="" routinely="" XXXX="" human="" rights="" XXXXXXXX="" labor,="" torture,="" XXXXX="" XXXXXXXXXX.="" XXXXX="" passage,="" XXXXX="" operates="" XXXXXXXXX="" XXXXXX="" XXXXX="" XXXXX="" perceived="" XXXXXXXXX="" XXXXXXXXXX="" XXXX="" face="" XXXXXXXXXX="" rations="">span class="XXXXX-converted-XXXXX"&XX;</span></p> <p><span XXXXX="XX">94233</span></p> <p><span class="XX">Regular equations</span></p> <p><span XXXXX="XX">1a. x - X = 8</span></p> <p><span XXXXX="s1">x = X + 7</span></p> <p><span XXXXX="XX">x = 15</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XX. x - b = a</span></p> <p><span XXXXX="XX">x = a + b</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">2a.<span class="Apple-converted-space"> </span>4x = -XX</span></p> <p><span XXXXX="s1">x = -X</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XX. -XX = m</span></p> <p><span XXXXX="s1">X = m/(-3)<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="XX">k = </span><span XXXXX="XX">-X <span XXXXX="XXXXX-converted-XXXXX"></span></span><span XXXXX="XX"> m</span></p> <p><span class="XX"><span class="XXXXX-converted-space"> </span>3</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">3a. XX - 5 = 11</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-converted-space"> </span>x = (11 + X)/2 = 8</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">3b. 2b - X = d</span></p> <p><span XXXXX="s1"><span class="XXXXX-XXXXXXXXX-XXXXX"> </span>b = (d + X) / X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XX. X/X<span class="Apple-converted-XXXXX"> </span>(XX) = -XX</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-converted-space"> </span>4x = -40</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>x = -XX</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XX. XXX = 10</span></p> <p><span XXXXX="XX"><span class="Apple-XXXXXXXXX-XXXXX"> </span>g = 10 / XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XX. x / -X = XX</span></p> <p><span XXXXX="XX"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>x = - 88</span></p> <p><span XXXXX="s1"></span></p> <p><span class="s1">5b. y/3 = h</span></p> <p><span class="XX"><span class="XXXXX-XXXXXXXXX-XXXXX"> </span>y = 3h<span class="XXXXX-XXXXXXXXX-XXXXX"></span></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 XXXXX="XX"></span> </p> <p><span class="XX">70852</span></p> <p><span XXXXX="XX">XXXXXXXX 4: XXXXXX Day XXXXXXXXXXXXXXX/XXXXXXXXXXXX: A Study of North Korea<span class="Apple-converted-space"></span></span></p> <p><span XXXXX="s1">What historical XXXXXXX can you XXXXXXX XX XXX XXXXX XXXXXX XXXXXXXXXX that is associated with XXX XXXXXXXX issue you XXXXX?</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX" <XXX="" XXXXXXXX="" XXXXX="" that="" XXXX="" interests="" XX="" is="" the="" XX="" XXXXX="" XXXXXX.="" XXXXXXXXX="" XX="" un,="" XXXXXX="" XXX="" XXXXXX="" all="" people,="" regardless="" their="" gender,="" XXXXXX="" origin,="" XXXXXX="" identity,="" XXXXXXXXXX="" background,="" faith="" or="" other="" demographic="" XXXXXXXXXXX.="" XXXXX="" XXXXXXX="" right="" XXXX="" XXX="" freedom,="" XXXXXXX="" XXXX="" XXXXXXX="" XXXXXXXXXXX,="" XXXXXXX="" views,="" XXXXX="" work="" for="" a="" fair="" wage,="" so="" XX.="" north="" XXXXX’s="" historical="" XXXXXXX="" XXXX,="" XXX="" XXXXXX="" XXXXXX.="" XXXXXXX,="" 2014="" XX="" XXXXXXXXXX="" XXXXXXX="" XXXXX="" government="" committed="" gross,="" XXXXXXXXXX="" widespread="" abuses,="" XXXXXXXXX="" extermination,="" torture,="" XXXX="" XXXXXXXXXXXX.="">span XXXXX="XXXXX-XXXXXXXXX-XXXXX"&XX;</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXX Korea was formed out of the XXXXXXXXXX XXXXXXXXXX XX Kim XX-Sung, a XXXX-war nationalist communist who suspended XXX XXXXX liberties of the North XXXXXX people in order to deal with XXXXXXXX XXXXXXXXXXX such XX XXX Korean XXX. XXXXXXXXXXX, XXX XX-XXXX and XXX descendants XXXX XXXXXXXXX to XXXXXXXXXXX XXXXX in a XXX that curtails human rights in XXXXX Korea. They have XXXXXXX a regime XXXXX free speech XX XXXXXXXXXX, XXX XXXXX judicial penalties routinely XXXXX human XXXXXX. These include the XXX XX XXXXXXX, XXXXXX XXXXX XXX incarceration in XXXXXXXX XXXXXXXXXX. XXXXX XX also no XXXXXXXXXXX XXX XXXXXXX XXXXXX the XXXXXXXX XXXXXX. The lack XX XXXXX XXXXXX in XXXXX XXXXX is a XXXXXX of XXXXXXX XX XXXXXXXXXXXXX XX the North Korean XXXXXXXXX dictatorship, in a XXX to continue their XXXX grip XX power XXXX XXX XXXXXXX.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXX does XXX issue XX power/XXXXX XXXXXX in XXX XXXXXXXXXX XX North XXXXX XXXXXX XXXXXX?</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1" <the="" north="" XXXXXX="" people="" are="" affected="" in="" three="" main="" ways:="" XXXXXX,="" inhumane="" XXXXXXXXXXXX="" XXX="" forced="" XXXXX.="" foremost,="" chronic="" mismanagement="" XX="" XXX="" XXXXXXX="" XXX="" XXX="" to="" experience="" XXXXXXXX="" famines="" over="" their="" lifetime.="" this="" deprived="" them="" XXXXXXX="" XXXX="" live.="" XXXXXXXXXXX,="" koreans="" XXXXXX="" XXXXXX="" free="" media="" such="" as="" new="" XXXX="" times,="" XXXXX="" limits="" XXXXX="" XXXXXX.="" XXXX="" XXX="" XXXX,="" with="" movement="" limited="" highly="" XXXXXXXXXXX="" sites="" XXXXXXX="" border="" controls="" military="" checkpoints.="" finally,="" XXXXXXXXX="" XXXXXXXXX="" routinely="" have="" XXXXX="" rights="" XXXXXXXX="" labor,="" torture,="" XXXXX="" conditions.="" noted="" passage,="" XXXXX="" XXXXXXXX="" secretive="" prison="" XXXXX="" XXXXX="" perceived="" opponents="" XXXXXXXXXX="" sent="" face="" starvation="" XXXXXXX="">span class="Apple-converted-XXXXX"&XX;</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXX</span></p> <p><span class="s1">Unit 2 Exam</span></p> <p><span class="s1"></span> </p> <p><span class="XX"><span XXXXX="Apple-converted-space"></span>X. 1.<span class="XXXXX-converted-space"></span></span></p> <p><span class="XX">X. X.</span></p> <p><span class="s1">9. 2.</span></p> <p><span class="s1">XX. 4.</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 class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></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 class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></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 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="s1"></span> </p> <p><span class="XX">XXXXX</span></p> <p><span class="s1">XXXXXXX XXXXXXXXX: Worksheet #1</span></p> <p><span XXXXX="XX">6a.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">XX = 2x + XX</span></p> <p><span XXXXX="s1">XX = XX - 14</span></p> <p><span class="s1">x = XX / X</span></p> <p><span XXXXX="XX">x = 6</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XX. XX = XX + X</span></p> <p><span XXXXX="XX">XX = XX - X</span></p> <p><span class="s1">v = (XX - X) /X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">7a. -30 = X - XX</span></p> <p><span XXXXX="s1"><span class="XXXXX-converted-space"> </span>8x = X + XX</span></p> <p><span class="XX"><span XXXXX="XXXXX-converted-space"> </span>x = XX/8</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XX. 7a = 10 - XX</span></p> <p><span XXXXX="s1"><span class="Apple-XXXXXXXXX-XXXXX"> </span>2h = 10 - 7a</span></p> <p><span class="XX"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>h = (XX - XX) /2</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XX. X(x-X) = 12</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-converted-space"> </span>XX - 12 = XX</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>XX = XX</span></p> <p><span XXXXX="XX"><span XXXXX="Apple-converted-space"> </span>x = 8</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XX. 5(4x + p) = w</span></p> <p><span XXXXX="XX"><span class="XXXXX-converted-XXXXX"> </span>20x + 5p = w</span></p> <p><span class="s1"><span class="Apple-XXXXXXXXX-XXXXX"> </span>5p = w - 20x</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-converted-XXXXX"> </span>p = (w - XXX) / 5<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXX XX XXXXXXXXXX XX 7a - 8b = XXX</span></p> <p><span XXXXX="XX">a = (XXX + XX) / 7</span></p> <p><span class="XX">The answer XX X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXXXX is XXXXXXXXXX XX XXX + k = 13</span></p> <p><span XXXXX="XX">k = XX - XXX</span></p> <p><span class="XX">The XXXXXX is C</span></p> <p><span XXXXX="XX"></span> </p><p><XX></p>">
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