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Part 2: Vocabulary:
11. J
12. A
13. B
14. I
15. G
16. H
17. C
18. E
19. F
20. D
22241
(m)
3 - 2x = 15
2x = 3 - 15
2x = -12
x = -6
(n)
2/3y - 11 = 3
2/3y = 3 + 11
2/3y = 14
2y = 42
y= 21
(o)
6t + 5 = -11
6t = -11 - 5
6t = -16
T = -16/6
(p)
6 - m = -4
m = 6 + 4
m= 10
2
(x + 3) (x - 1)
x2 - x + 3x - 3
x2 + 2x - 3
(2x + 6) (3x + 4)
6x2 + 8x + 18x + 24
6x2 + 26x + 24
(-4n2) . (5n7)
(-4n2) . (5n2n5)
(n2) (-4 . 5n5)
(2x)3 . (5x4)2
8x3 . 25x8
8x3 . 25x3x5
(x3)(8+ 25x5)
22622
Across
2. Volere
3. Salve
5. Auguri
7. Buon natale
9. Ciao
10. Buonasera
11. Molti
12. Biglietto di auguri
Down
- Buon compleanno
4. Buona notte
6. Buona pasqua
7. Buona giornata
8. Addio
23413
Enzyme Worksheet
- Proteins
- Enzymes catalyse vital reactions in the body by lowering the activation energy of a reaction. For example, they allow digestive processes to function.
3.
4.
span class="Apple-converted-space">
30454
- (1)
- (3)
- (1)
- (1)
- (4)
31744
1. Paolo è in un negozio che vende cappelli al mercato.
2. Paolo parla con il commerciante.
3. sta comprando un cappello.
4. il cappello costava trenta euro all'inizio.
5. il cappello costa venticinque Euro alla fine.
33434
- Elena
- Giovanni
- Carla
- Giovanna
- Mario
- Laura
- Sofia
- Paulo
- Rosa
Le ragazze: Andrea, Laura, Valentina, Beatrice, Cristina, Sara, Anna
I ragazzi: Gregorio, Davide, Franco, Giuseppe, Luca
34448
6. gli occhiali da sole
3. il quaderno
4. la caramelle
5. il biglietto
2. il CD
Il biglietto costa otto euro.
Il quaderno costa sei euro.
Le caramelle costano nove euro.
Gli occhiali costano venti e quattro euro.
37640
Take Home Test
1(a) x + 3 = 11
x = 11 - 3
x = 8
(b) t - 11 = -5
t = -5 + 11
t = 6
(c) 5 x = 20
x = 4
(d) -2y = -18
2y = 18
y = 9
(e) x/6 = -5
x = -5(6)
x = -30
(f) y/-3 = 12
y = 12(-3)
y = -36
(g) 1/2x = 7
1 = 2x (7)
1 = 14x
x = 1/14
(h) 3x + 5 = 17
3x = 17 - 5
3x = 12
x = 4
- -2c + 7 = 11
-2c = 11 - 7
2c = -4
c = -2
(j) x/4 - 5 = 2
x/4 = 2 + 5
x = (7) (4)
x = 28
(k) 2t/3 = -10
2t = -30
t = -15
(l) (y - 4)/2 = 8
(y - 4) = 16
y = 16 + 4
y= 20
43514
5. Draw and label an inhibitor affecting an enzyme reaction:
6. What 2 environmental conditions can affect the activity of an enzyme
Temperature and substrate concentration
7. The enzyme functions at the optimal pH of 8
8. The optimal temperature is 35.
9. When the pH is two, the enzyme is completely inactive.
10. The optimal pH for intestinal protease is 9.
11. The optimal pH for gastric protease is 5.
12. Gastric protease.
45737
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.
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.
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.
45742
Answers in Italian
- il grande magazzino è in via Tuscolana.
- Laura suggerisce di fare acquisti in una boutique invece.
- Gina ha bisogno di comprare un regalo per la sorella Anna.
- XXXX XXX vuole andare in una boutique XXXXXX le boutique XXXX molto costosi.
- XXXX decide di XXXXXXXX un paio di pantaloni.
Answers in XXXXXXX:
X. XXX XXXXXXXXXX store XX in via XXXXXXXXX.
X. Laura suggests XX XXXX at a XXXXXXXX instead.
3. XXXX needs to XXX a gift XXX her sister XXXX.
4. Gina does not want XX go to a boutique because XXX boutiques XXX XXXX expensive.
X. XXXX decides to XXX a pair of trousers.
[First part of the assignment XXXXXX XX completed as it XX an XXXX XXXXXXXXXX]
Calcolate: XXXX in the XXXXXXXXXXX XXXXXX in XXXXXXX
X. XXXXXXXX XXX due XXXXX XXXXXXXXXXX (46)
X. Cento XXXXXX quattro XX venticinque (XX)
3. Quarantuno piu ventidue fa XXXXXXXXXXX (XX)
X. XXXXXXXXXXXX XXXX cinquantanove XX XXXXXXXXX (38)
5. Ottanta XXXXXX due XX quaranta (XX)
6. XXXXXXXXXXX meno XXXXXXXX fa trentacinque (35)
7. XXXXXXXXXXXX diviso ventotto XX due (2)
X. XXXXXXXXXXX XXX XXXXXXXXXXXXX fa novantuno (91)
9. Sette per XXXX fanno fanno cinquantasei (XX)
10. XXXXXXXX per XXX fa novanta (XX)
46915
- X. XXX hormone referred to in XXXX feedback XXXXXXXXX XX insulin. XXX XXXXXX XX (B)
2. The answer XX (X) XXXXXXXX mechanisms
X. The answer is (B)
4. The XXXXXX is (X)
X. The answer XX (X)
6. XXX XXXXXX XX (A)
59943
- XXXXXX XXXXX XX vestito?
XX vestito XXXXX XXXXXXXX euro.
2. Quanto XXXXXXX la camicia, la XXXXXXXX, i XXXXXXXXX e la XXXXXX? (XXXXXX XX XXXXXXXX XXXXXXX the prices are XXXXXXX)
X. Quanto costano i XXXXX e XX maglione?
XX jeans e il XXXXXXXX XXXXXXX XXXXXXXXXXX XXXX.
X. Quanto costano la camicietta e la gonna? (cannot XX answered XXXXXXX the prices are XXXXXXX)
X. XXXXXX XXXXXXXX XX XXXXX, i guanti e la sciarpa? (cannot XX XXXXXXXX because the XXXXXX are XXXXXXX)
77256
Topic : I XXXXXX: Quanti anni hai
XXX,
XXXXXX
diciassette
XXX. Topic: I numeri XXXXXXXXXX
- 590 - 3264: cinque nove zero - tre XXX XXX XXXXXXX
- XXX - 7961: otto XXXXXXX XXX - XXXXX nove XXX XXX
C.
02510
Biology Lab Part D XXXXXXXXX
X.
Increased XXXXX XXXX helps muscle cells XXXXXXX more XXXXXX XXXXXXX XXXXX delivers XXX XXXXXXXX needed XXX XXX cell to XXXXXXX catalytic reactions, such XX XXXXXX, XXXXXXXXX, vitamins, XXXXXXXX XXX enzymes.
2.
The two solutions may be of a different XXXXX XXXXX XXX indicator XXX XXXX added XX XXXX.
3.
Pair 3
The XXXXXXXXX system, XXXXXXXXX the circulatory XXXXXX, XXXXX XX XXXXXXX XXXXXXXX XXX regulate bodily XXXXXXXXX. XX XXXXXXXX XX the pituitary gland, the thyroid XXXXX ,XXX pancreas, the adrenal XXXXXX and XXX XXXXXX (or ovaries in females). XXX XXXXXXXXXX of the endocrine XXXXXX XXX distributed through the XXXXX XXX arteries XX the XXXXXXXXXXX XXXXXX, XXXXX XXXX travel XXX act XX various XXXXXX sites in XXX body. XXXXX XXXX to maintain homeostasis in an XXXXXXXXXX, by secreting hormones XXXX regulate bodily XXXXXXXXXXXXXXX such XX temperature.
XXXXX
XXXX your answers XX XXXXXXXX X XXX 5 XX the information XXX data table XXXXXXXX.
4. XX activity increases, XXXXX XXXX XXXXXXXXX.
5. XXX XXXXXXXXXXXXX could be improved by increasing the XXXXXX size of XXX experiment XX XXXXXXX more students, XX pulse XXXXX XXXXXX by student. The students could XXXX sample a XXXXXX variety XX XXXXXXXXXX, XXXX as sleeping or lying down XXXXXX.
X. (1)
7. The histogram includes XXXX from 3+4+6+X+4+3 = XX students
8. X XXXXX rate below XX would prevent the XXXXXXXXX and XXXXXX XXXXXXXXXXX of regulatory hormones XXXX XXXXXXXX water levels, temperature, carbon dioxide levels and other internal bodily XXXXXXXXXX, XXXXXXX hormones XXXXX XXX XX able XX reach the active sites in time.This would slow down and disrupt the process XX homeostasis.
X. The data XXXXX XXXXXXX XXXXXX XXXXX rates XXXXXX the XXXXX XXXXXXXX of XXXXXXX pulse XXXXX (in other XXXXX, the XXXXX XXXXX XXXXX up).
XXXXX
- XXXXXX XXXXX acquistare un dizionario italiano-inglese.
- Questo XXXXX Gilberti costa trentadue XXXX
- Lei non lo compra XXXXXX costa troppo
- XXXXXX il dizionario XXX economico che XXXXX tredici euro e cinquanta centesimi.
- X XXXXX incaricata di pagare alla cassiera.
XXXXX
XXXXXXXX of XXXXXXX practices
XXXXXXX XXXXXX XXX Fasting XXXXXXX
XXXXXXXX in the margins:
“The XXXXXXXX… are to ward XXX temptation”
“Since I get thirsty, I don’t want XX XXXX that much.”
“He XXX XXXXXX XXXX sunup XX sundown XXXX day XXXXX the XXXXXXX started XXX 11.”
“Out: jaunts to XXX XXXXX (too XXXXXX XXXXXXXX). XXX: XXXXX lunch XXXX friends. XXX: playing XXXXXXXXXX XXX keeps.”
“ Since XXX fast XXXXX&XXXXXX; [XXXX] have XXXXXX XX XXXXX the early XXXXX of XXX XXXXXXX so they XXXXX sleep XXXXXXX many XX the XXXXX XX want. “
“XX XXXXX XXXXX games and XXXXXXX XXXXXX XXXXX XXXXX XXX, XXXX sleeps until 3pm, XX which XXXX XXX XXXXXXX breakfast banquet XX in XXXXX.”
“XXX young XXXXX XXXX XXXX spent XXXXX XXXXXXX days XXXXXX.”
Author: XXX York XXXXX, XXXXX Dominus
Point XX XXXX: Liberal, XXXXXXXXXXXXX XXXXXXXXXX
XXXX XXX XXX created: XXXX-X-XX
Purpose: Investigate XXXXXXXXXX, XXXXXXXXX, XXXXXXXXXXXXX
XXXXXXXX: XXXXXXX public
XXXX document is reliable XXXXXXX it was XXXXXXXXX by a XXXXXXX newspaper XXXX trained XXXXXXXXXXX.
What does this reading show XX XXXXX XXXXX a Muslim during the XXXX month XX Ramadan?
Cite evidence XXXX the XXXXXXX:
span XXXXX="XXXXX-XXXXXXXXX-XXXXX">
XXXXXXXX:
span XXXXX="XXXXX-XXXXXXXXX-space">
XXXXX/05729
XXX XXXX XX Gilgamesh XX an ancient XXXX XXX XXXXXXXX XXXX XXXX tremendous XXXXXXXX XXXXX, XXXX XXX been XXXXXXX XXX centuries. This XXXXX will XXXXXXX XXX excerpt from the Epic XX Gilgamesh with XXXXXX XX XXXXX themes: the legitimacy of government, the urban-XXXXX divide and the status XX XXXXX.
Foremost, XXX excerpt XXXXX how a cruel XXXX, Gilgamesh, forces his XXXXXX to XXXXX a XXXXX XXXX XXXXXX XXX city and XXXX his people restless. XX a result, the people XXXXX out XXX XXXXX, but XXXXXXXXX was cruel XXX bitter, and so XXX not listen XX the XXXXXXXXX XX XXX people. XXX Sun God created a challenger, XXXXXX, as a result.
This XXXXXXXXXXXX how XXXX government should XXXXXX XX in accordance with the XXXX of XXX people, and be XXXXXXXXXX XX their needs. XXXXXXXXXXX around XXX XXXXX today frequently neglect the XXXXX of XXXXX people, and in so doing, create rebellious populations and XXX XXXXX XX XXXXX own demise.
XXXXXX, the Epic XX XXXXXXXXX demonstrates XXX differences between XXXXXXXXX, XXX XX a XXXX-XXXXXXX ruler raised among urban XXXXXXXX, and XXX XXXXX Enkidu, who XX kind XXXXXXX XXX XXXXXX in nature. XXXX XXXXXXXXXXXX XXX difference XXXXXXX people XXX grew XX in XXXXX XXXXXXXXXXXX XXX people XXX XXXX up in XXXXX XXXXXXXXXXXX.
XXXXXXX, XXX XXXXXXX gives its readers a XXXX as to XXX XXXXXX of women in XXXXXXX XXXXXXXXXXXX and XXXXXXXX society. XXXXXXX is XXXX given XXXXX XXX agency as an XXXXXXXXXX who XXXXXXX XXXXXX through her sexuality and XXXXX. XXXX may indicate XXXX ancient XXXXXXXXX XXXXXXXXXXXXX XXX women XX XXXXXXX XX attraction, and XX XXXXXXX to XX XXXX.
XXXX
7. Question
Blood Glucose XXXXXXXXXXXXX XXXX time (x = XXXX(h), y = XXXXX XXXXXXX concentration)
X. XXX XXXXXX cause XXX the XXXXXX in blood XXXXXXX concentration XXXXXXX XXXX 16 and XXXX 24 XX XXX digestion XXX metabolization XX XXXX XXXXXX resting XXXXXXX.
X. The blood XXXXXXX concentration XXXXXX XXXXXX have XXXX more XXXXXXXXXX (ie. XXX XXXX in blood XXXXXXX or rise in blood glucose XXXXX XXXX been sharper)
10.
The XXXXXX is Row 1 (X = Digestion, Y = XXXXXXXXXX)
11.
(X) XXXXXX XXXX XXXXXXX X, only
12.
(X) reduce the XXXXXXXXXXXX XXXXXX in body XXXXXX X
XX.
(4) start to XXXXXXXX the synthesis XX hormone X
XXXXX
- Yes.
- XXX.
- XXX.
- XXXXX XXX XXXX? - I XXXXX with XXX XXXX X XX it lays down clear XXXXX and XXXXXXXXXXXX XXX XXXXXXXX XXXXX prevent XXXXXXX conflict and abuse.
XXXXXXXX context
XXX: Justinian
XXXX: Description of XXXXXXXXX’s XXXXX, conquests, legal regime and political achievements
XXXX: XXXXX XXXXXXX
XXX: Need to consolidate XXX XXXXXXX XXX XXXXXXXXX political XXXXXX, XX unify his XXXXXX and provide a sense XX XXXXXXXXX XXX his people.
XXXX X
XXX: Justinian
Where: XXXXXXXXX Empire
XXX: XXXXXXX unified law, appointed XXXXXXX in the XXXXXXX XXXXXXXX XXXXXX, XXXXXXXXX a centralized XXXXXXXXXX, conquered lands, XXXXXXX Justinian’s Code XXXXX included laws on XXXXXXXX, slavery, property, ownership, women’s XXXXXX and criminal justice.
XXXXXXXX X: XXXX punishment? XX.
Scenario X: Same punishment? NO.
Scenario X: XXXX punishment? NO.
08031
XXXXX part XXX XXXX; could not be XXXXXXXXX.
C. Identificazioni.
X. X la fronte.
X. XXXXXX XXXX i piedi.
X. X la XXXXX.
X. XXXXXX XXXX XXX XXXXX.
X. è la XXXXXX.
6. XXXXXX XXXX le mani.
X. questo X lo XXXXXXX.
X. è il collo.
X. Questa X la vita.
XXXXX
Quanto costano
XXXXXX costa?
Exercise A
1.Un caffe XXXXXXXXXXXX XXXXX novanta centesimi
X. XX XXXXX freddo costa novantacinque XXXXXXXXX
X. XX XXXXXXXXX XXXXX XX XXXX e venti
X. XX cioccolato in XXXXX costa XX euro e XXXXXXXXX
X. Un te costa un XXXX e trenta
X. XX XXXXX in bicchiere costa settantacinque centesimi
7. Un te freddo costa XX XXXX
8. XX bibita in XXXXXXX costa XX euro e XXXXXXX
9. I XXXXXX di XXXXXX XXXXX XXX XXXX e XXXXX
XX. Le XXXXXXXX di agrumi costa XXX XXXX e sessanta
XXXXXXXX B
Un XXXXXXXXX XXX XX XXXX XXXXXXXX XXXXX seicento novanta
XX biglietto XXX XX XXXXXXXXXX costa XX mille XXXXXXXXXX
XX biglietto per XX Grecia XXXXX un XXXXX XXXXXXXX XXXXXXXXXX XXXX.
XX XXXXXXXXX per il Francia XXXXX XXXXXXXXX XXXXXXXXXXXXXX XXXX.
Un biglietto per XX XXXXXX XXXXX un mille duecento ventinove.
XX biglietto XXX XX Irlanda XXXXX novecento XXXXXXXXXXXX.
XX XXXXXXXXX per XX XXXXXXXX costa XX XXXXX XXXXXXXX XXXXXXXXXX
Un XXXXXXXXX XXX XX Italia costa un XXXXX sessantacinque
87245
Attivita
XXXXXXXX alle XXXXXXX
X.XX camicia e XX disco XXXXXXX trentanove XXXX o trentanove dollari.
2. Il libro e XX cappello costano diciotto XXXX o XXXXXXXX dollari.
X. XX camicia, XX cappello ed i pantaloni costano sessantanove XXXX o sessantanove dollari.
4. XXX XXXXXXX costano XXXXX XXXX o XXXXX dollari.
X. Con centoventicinque euro, posso XXXXXXXX tutto tranne gli stivali.
1. Il resto è di XXX euro e settanta centesimi.
2. XX XXXXX X di trenta XXXXXXXXX.
3. Il resto X di XXXXXXX centesimi.
X. XX resto è di XXX euro e cinquantacinque XXXXXXXXX.
X. Il XXXXX X di dodici euro e XXXXXXXXXX XXXXXXXXX.
X. XX resto è di ventiquattro XXXXXXXXX.
- La televisione costa duecentocinquanta euro.
- L'automobile XXXXX seimila XXXXXXXXXXX euro.
3. La XXXXXXXX XXXXXXXXXXX costa XXXXXXXXXXXXXXXXXXX euro.
X. Il divano XXXXX duemila XXXX
5. XX XXXX XXXXX XXXXXXXXXXXXXXXX euro.
XXXXX
XXXXXXX XXXXX XXX years
X l'anno duemila XXXXXXXX
XXXX l’anno duemila XXXXXXXXXX XXX gennaio
- Sono nato XXX millenovecento XXXXXXXXXXXXXXXX 1954
- XXXX XXXX nel XXXXXXX quattordici XXXX
- Sono XXXX nel millenovecento XXXXXXXXXXXXXX 1975
- Sono XXXX nel XXXXXXXXXXXXXX sessantasei1966
- Sono XXXX XXX XXXXXXX otto 2008
- XXXX XXXX XXX XXXXXXXXXXXXXX trentatre XXXX
- Sono nato nel XXXXXXXXXXXXXX novantuno1991
- Sono XXXX XXX duemila uno 2001
- XXXX XXXX XXX millenovecento ottanta XXXX
- 10.Sono XXXX XXX millenovecento XXXXXXX XXXX
X l'XXXX duemila XXXXXXXX
Carlo e XXXX XXX millenovecento ottanta. Ha anni trentotto
XXXXXXX e XXXX nel XXXXXXXXXXXXXX cinquantotto. XXX XX XXXX sessanta
XXXXXX e nata XXX XXXXXXXXXXXXXX cinquantacinque. XXX XX XXXX XXXXXXXXXXX
Roberto e XXXX XXX millenovecento XXXXXXXX. XX anni cinquantotto
XXXXXX e nata nel XXXXXXXXXXXXXX ottantuno. XXX XX XXXX XXXXXXXXXXX
XXXXXXX e XXXX nel XXXXXXXXXXXXXX XXXXXX. Ha anni XXXXXXXXXX
XXXXX e XXXX nel millenovecento XXXXXXXXX. Lei ha anni sessantotto
Silvia e XXXX nel millenovecento ottantasette. XXX ha XXXX XXXXXXXX
317Section1ExpressionsWorkbook.XXX
XXXXXXX 1: Expressions
Section 1 - Topic X
a. Staten XXXXXX would XXXXXXXX 58 x 5 = XXX trips
b. Staten XXXXXX XXXXX XXXXXXXX XXX XXXXX each XXX
c. XXXX XXXXX Ferry XXXXX complete XX x 5 = XXX trips
d. XXXX River XXXXX would XXXXXXXX 32x trips XXXX XXX
e. Total is XXXXX by 58x + 32x = 90x
f. XXXXX is given XX 58(X) + 32(X) = 90(X) = 450
XXX’s practice
1. a. XXX console XX c, games XX g. 299c + XX.XXX
b. (1)(299) + 59.99(3) = XXX.XX
c. Let XXXXX controller be e.
XXXXXXXX is XXXXX XX 299 c + XX.XX g + XX.XX e
d. XXXX XX XXXXX by
XXX c + XX.99 g + 29.99 e
XXX(1) + XX.XX(3) + XX.XX(2) = XXX.XX
XXX It!
2. XXX tickets XX t, water bottles be w, XXXXXXXX XX p.
Equation XX XX.XX+ 3.5w + 5p
Coefficient XX 55.5, X.X, 5.
Variables are t, w, p.
XXXXX XXX XX XXXXXXXX XXXXX.
3. a. y = XXX + XXX, XXXXX p = pounds XXX o = ounces
b. x < y as XXXXXX must use less than or equal to XXX XXXXX XXXXXX of rice he XXX on XXXX.
Beat XXX Test!
KKP: XXXX = XXX+ 7 x X x X = XXX + 14k
XXX: cost = XXX
span XXXXX="XXXXX-converted-XXXXX"&XX;
[] XXX expression XXX XXXXXXXXXX the total XXXXXX XXX XXX
[] If XXXX hires the painters for 10 hours, then EHP XXXXX XX XXXXXXX (XX. in XXXX case, EHP is XXX)
[] XX XXXX XXXXX XXX XXXXXXXX XXX 20 XXXXX, then XXX would be XXXXXXX (ie. in XXXX XXXX, XXX XX 455 XXX XXX is XXX)
2. X
XXXX pickers XXXXXXXX: 0.95 (XXXX)
Harvester equation: 0.XX (22000m)
XXXXXXXX XXXXXXXX: X.95 (200h) + X.90 (XXXXXX)
XXXXXX is B.
XXXXXXX 1 XXXXX 2: XXXXXXXXX XXXXXXXXXXX XXXXX XXXXXXXXXXXX Property
Based on XXX XXXXX distribution:
(a + 3) (a + X) = a
Let’s XXXXXXXX!
X.
X(x + XX - XX)
Using distribution:
XX + 6y - XXX
Using modelling:
X
3 x XX = XX
3 x -7z =
Add XXXX up XX XXX XXX XXXX XXXXXX:
XX + 6y - 21z
X.
Using XXXXXXXXX:
Add them XX to get:
(x - 3) (x - X)
= xX -XX + 6
XXXXX distributive property:
(x - X) (x - X)
= xX -XX + X
XXX It!
X. XXXXX XXXXXXXXXXXX property
(m+X) (m - X)
= m2 -XX + 5m - XX
= mX + 2m - 15
Beat the Test!
1.
XXXXXXX X:
(x - X) (x - 2)
= xX -XX - 5x + XX
XXXXXXX forgot to XXXXXXXX XXXXXX XXXXXXXXXXX, XXXXXXXX multiplying terms XXXX once, and missed out -2x and -5x XX a XXXXXX.
XXXXXXX X:
(x-X) (x - 2)
= x2 -2x - XX + XX
= x
Student is correct!
XXXXXXX 3:
XXXXXXX XX incorrect.
Student XXXXXX XXXX - and -, XXXX multiplied, yields a plus. XXXXXXX XXXXXXXXX XXX the wrong XXXX for XXX constant 10.
Section X - Topic 3
X + X = 7
2 + 5 = X
For addition, it XXXX not XXXXXX.
9 x 2 = XX
X x X = XX
XXX XXXXXXXXXXXXXX, it XXXX XXX XXXXXX.
&XX; The order XX XXX XXXXXXX XXX be
The commutative property XXXX not XXXX XXXX for XXXXXXXX XXX subtraction:
X/X = 0.6666, whereas X/2 = X.X
X - 3 = -1, XXXXXXX 3 - 2 = X
XXXXXXXXX XXXXXXX are obtained.
Consider 2 + 4 + 6.
2 + X + 6 = XX
(X + 4) + X = 12
X + (X + 6) = XX
Parenthesis XX XXX change the sum.
Consider 3 . X . 4.
X . X . X = XX
3 . (X . 4) = XX
(X . X) . X = 72
Parenthesis XX XXX XXXXXX XXX sum.
This is the
The XXXXXX XX XXX XXXXXXX does XXX XXXXXX.
The XXXXXXXX of the XXXXXXX XXX change XXX XXXX not affect XXX XXXXXX or XXXX.
If &XXXXXX;. Then (a+b) + c = a + b + c and (ab)c = XXX.
The associative property does not XXXX true XXX XXXXXXXX XXX XXXXXXXXXXX:
XX ÷ XX ÷ 2 = X
XX ÷ (10 ÷ 2) = 40 ÷ 5 = X
(40 ÷ 10) ÷ 2 = 2
40 - XX - X = XX
40 - (10 - 2) = 32
XXX’s XXXXXXXX!
1.
- XXXXXXXXXXX property
b. XXXXXXXXXXX property
c. Associative XXXXXXXX
2.
a. Commutative XXX associative property (there is both parenthesis and reshuffling XX XXXXX)
b. Associative XXXXXXXX
c. Associative XXXXXXXX
d. XXXXXXXXXXX and XXXXXXXXXXX XXXXXXXX (there is both parenthesis XXX XXXXXXXXXXX XX XXXXX)
3.
(3x) (XX) = 3 (x . 2) y associative property
= 3 (X . x) y commutative XXXXXXXX
= (X . X) (x . y) XXXXXXXXXXX XXXXXXXX
= XXX
XXXX the Test!
X.
- Commutative XXXXXXXX of addition
X. Associative XXXXXXXX XX addition
3. XXXXXXXXXXXX XXXXXXXX of multiplication
X. XXXXXXXXXXX property XX XXXXXXXX
X. XXXXX an equivalent XXXXXXXXXX
XXXXXXX X - Topic 4
2X = 16
XX = 8
2X = 4
XX = X
Each XX XXXX XX XXX previous XXX (divided XX X each time)
X
XXXX is the zero exponent property
a0 = X
Continuing the pattern&XXXXXX;
X-X = X/2 = 0.5
X
a-n = X/ an
X/a
23 . X
X5 . X
x
span XXXXX="XXXXX-converted-XXXXX"&XX;
a
XXXXXXXX:
4
xX / x
a
XXXXXXXX:
(5
(y
XXXXX property: (a
…
(2 . X) X = (6) X = XX
(4 . x)
&XX;span XXXXX="XX"&XX;n = anb
= (a.b)
(20/X)
(6/y) 2 = XX/y
&XX;span XXXXX="XX">n = an/b
XXX’s XXXXXXXX!
- a. X3. X4 = X
7 , (XX)/(3X ) = X9-X = 37
XXX XXXXXXXX is true.
b. (5 . X
(X . X
5
span XXXXX="Apple-XXXXXXXXX-space"&XX;
Try XX!
X matches with II
X matches with I
C matches XXXX IV
D matches with X
E XXXXXXX with XXX
F matches XXXX VI
XXXX XXX XXXX!
1. Part X:
XXXXXX XX correct. Because X x X x 3 x 3 x X = X XX the power XX 5.
2. XXXX XX XXXXXXX. XXXX is XXXXXXX 3 to XXX XXXXX XX 8 divided by X XX XXXXX XX 2 is 3 XX XXX power of (8-2) = 6
Section X - Topic 5
X
8 X/3 = X 3/X = X
The XXXXXXX is XXXX they XXX equal a XXXXXX to the power XX 1.
X X/X =
5
XXX exponents XXXX XXX rational XXXXXXX, XXXX XX a/b , we XXXX x
X.
- (x+X) 1/2
b. (x-X)
2.
- 9
X/X = 3 X(X/X) = 3 - 16 X/X = X X(X/2) = 4
c. X
d. X X/3 = X (3(X/X)) = X
e. XXX 2/3 = 5 3(2/X) = X2 = XX
f. XX
Try it!
XX. √y = yX/X
XX. 5√y + X = (y+6)
XX. XX
4b. 271/X = 3 X/3 = 3
4c. XXX 2/X = X 6/3 = 6 X
Beat XXX test!
Match the XXXXX.
- VI
- XXX
- X
- I
- IV
- XX
Section 1 Topic 6
√5 + √X = X.XX
X
X 2 3 X X X
|XX|XX|__|__|XX|
X
X
X X X 4 5 6
|XX|XX|XX|__|XX|
√5 + √5 = 4.47
X
X 2 X X X 6
|XX|__|__|XX|XX|
X
X
X 2 3 4 5 6
|__|__|__|XX|__|
X √X - 8 √3 = -10.XX
X
-13 -XX -11 -10 -X -X
|____|____|___|___|XXX|
X . X
X
-13 -12 -11 -10 -9 -X
|XXXX|XXXX|XXX|XXX|___|
XXX’s practice
X.a.
√XX + √3 = 2√X+ √X = 3 √X = XX1/2 + X
b.
12
c.
√XX + √15 + √XX = XX
d.
72X/X +XXX/X + XXX/X = √72 + √XX + √XX = XXX.XXX/2 = XX.6
e.
√32 + X √16 = XX
f.
XX1/2 +XX1/3
= √32 + X √16
= √ 24 +√ X
= X √ 2
= X.XXX
XXX it!
X.a.
= X √6 = 9.XX
2.b.
= X √6 = 9.79
X.c.
= √50 + √18+ √XX
= 5 √X + 3 √ 2 + √XX
= 8 √ X + √ XX
= XX.475
X.d.
= √XX + √XX+ √10
= 14.XXX
X.e.
= X
= X1/X + 2 + X X/3
= X.XX
X.f.
= X
= 21/3 + 2 + X
= 5.XX
Beat the Test!
X. XXXXX of the XXXXXXXXX XXXXXXXXXXX XXX XXXXXXXXXX?
[]
[]
[X]
[X]
[]
[]
2. X.
XXXX X:
Label XXX place the XXXXXXXXXX XX XXX number line XXXXX.
X . 3 X/2
2 X + 3 1/2
16
= X.XX
X
6 X X X X X
|__|__|__|XX|__|
XXXXXXX X - XXXXX X
√ XX . √ 2
= √ 2 . 5 . √ X
= √ 2 . √ 5 . √ 2
= X √2 . √ 5
=4.57
10 X/2 . X 1/X
= X 1/X. 5 . X 1/2
= 2
= X 3/2
= 4.57
√X .
= √X
= X.XX
2
= √X
= X.67
√ XX / √ X
= (√ 2
= √ 5
= X.23
XX 1/2 /2
= (√ X . √ 5 ) / √ X
= √ X
= 2.XX
(x
=x
(√X)X
= (7
= (7
= XX.5
a
= a X/X b
= a X/X b
= 2
= 2 3/X / X
= X
= X.59
Try it!
a
= (m
= n2/X
b.
= (X X/X . 3
= (X
c.
= X X/2 . 2
d.
= (X
= (3X/X)
= X X/4
XXXX XXX test!
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[X]
[X]
[]
XXXXXXX X XXXXX 8
XXXXXXX XXXX can XX represented XX … are XXXXXX XXXXXXXX numbers.
XXXXXXX that cannot be XXXXXXXXXXX… are called XXXXXXXXXX numbers.
√X rational
√8 XXXXXXXXXX
π = rational
XX/X = XXXXXXXX
X.XXXXXX…. = XXXXXXXXXX
XX/X = XXXXXXXX
2.23606… = irrational
-25 = rational
Given XXX rational XXXXXXX a XXX b XXXXX XXXX the XXX is XXXXXXXX:
XXX sum of XXX XXX XXXXXXXX XXXXXXX is rational.
Proof.
XXXXXXX r and s XXX rational XXXXXXX. [We XXXX show XXXX r + s is XXXXXXXX.] Then, XX the XXXXXXXXXX XX rational numbers, we XXXX
r = a/b XXX XXXX XXXXXXXX a and b XXXX b ≠ 0.
s = c/d for XXXX integers c and d with d ≠ X.
So, XX substitution, XX XXXX
r + s = a/b + c/d
= (ad + bc)/XX
Now, XXX p = ad + XX and q = XX. Then, p XXX q XXX XXXXXXXX [because XXXXXXXX and sums XX integers XXX XXXXXXXX and XXXXXXX a, b, c XXX d XXX XXX integers. Also, q ≠ X by XXXX product property.] Hence,
r + s = p/X , where p and q are XXXXXXXX XXX X ≠ 0.
XXXXXXXXX, by XXXXXXXXXX XX a rational XXXXXX, (r + s) XX rational. This is what XXX XX XX shown.
And this XXXXXXXXX XXX XXXXX.
Source from: https://math.XXXXXXXXXXXXX.XXX/questions/XXXXXXX/XXX-doesnt-XXXXX-XX-XXX-of-two-rational-XXXXXX-is-rational-no...
Sum XX two numbers:
If XXX numbers are XXXXXXXX XX can XXXXXXX their XXX XX
a/b+ c/d
Which is XXXXX to
(ad + XX) / bd
XXXXX, rational.
XXXX b:
XXX product of a and b will XXXX XX XXXXXXXX.
XXXX c:
Given a XXXXXXXX XXXXXX a and an XXXXXXXXXX XXXXXX b, prove XXXX the sum XX a XXX b is XXXXXXXXXX
X/2 + 9.48888888 = XX.XXXXXXX&XXXXXX;.
Hence, XXX XXX XX a XXX b is irrational
Given a XXX-zero XXXXXXXX number a, and an XXXXXXXXXX number b, what XXX XX said XXXXX the XXXXXXX of a XXX b?
The product XX a and b XXXX be irrational.
XXX’s XXXXXXXX!
XXXXXXXX XXX following XXXXXXXXXX
XXX above XXXXXXXXXX XXXXXXXXXX XXX XXX of a rational number and an XXXXXXXXXX XXXXXX and XX XXXXXXXXXX to an
Try it!
XXX above XXXXXXXXXX XXXXXXXXXX the product XX a XXXXXXXX number XXX a
a/b = XXXXXXXX
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
XXXXXX XXXX XXXXXXX 1
(a)
f(-X) = -1
f(X) = X
f(X) = X
(b)
f(x) = 11
x = 18
(c)
x = -6, y = -1
x = -X, y = 0
x = -2, y = 1
x = X, y = 2
x = X, y = 3
x = X, y = X
x = 6, y = X
(d) They intersect XX x = X, y = X
(e) x = 2, y = X
X = 0.X (2) + X = 3
Y = X - x = 5 - 2 = 3
The XXXXX in (d) is a solution XX both equations.
Exercise #X
(a)
(b)
(c) Minimum value : x = 1, y = -4
Maximum value = XXXXXXXXX.
(d)
The XXXXXXXX is negative between x = -X XXX x = X
(e) The XXXXXXXX is XXXXXXXXXX in XXXXXXXXX x &XX; 1
(f) At y = -3, x = X. This can be seen XXXX XXX XXXXX XXX table.
Exercise #3
span class="XXXXX-XXXXXXXXX-space">
- (a) g(-2) = X
(b) g(X) = -4
(c) g(X) = XX
(d) g(15) = XXX
2.
x = -X, y = 9
x = -1, y = X
x = 0, y = 1
x = 1, y = 0
x = 2, y = 1
x = X, y = X
x = 4, y = X
3.
When x = -X, y = 23. XXX answer is XXX listed XXXXX (closest answer XX x=1)
XXXXXXXXXXXX
X. (a)
(b) XXX interval -X < x &XX; 6, X(x) &XX; X. XXXX XXXXXXXXXX negative XXXXXX XXXXXXXX.
(c) X(X) = -X or X. This represents the break XXXX XXXXX (zero profit).
(d) x = -X or x = 6. This XXXXXXXXXX XXX number of packages XX XXXXXX break even XXXXXX.
Reasoning
5. No, XXX is incorrect. XXXX x = -4, f(x) = 6.
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
Exercise #X
(a)
y = XX - X
x = X, y = -1
x = 1, y = 2 - X = 1
x = 2, y= X - X = 3
x = X, y = 6 - X = X
(b) Equation XX y = XX - 1
XXXXXXXX #2
The input XXXXXX is x = 8 (y = 2(8) + 1 = 17)
XX XX harder because you need to test XXX XXXXXXX one XX XXX.
XXXXXXXX #3
X = 0.5n + (0.5n + 10)
n = 50
X = XX + 25 + XX = 60
XXXXXXXX #4
(a) This rule is a function XX each XXXXX XXXX XXXXX has a specific XXXXXX birth XXXXX.
(b) Output is February
(c) XXXX and Niko XXXX XXXX an output XX XXX. XXXX XX because each output still XXXX to an input. One XXXXX gives XXX XXXXXX.
Exercise #5
- XXXXXXXX XXXXXX off at XX blocks from XXXXXX (at x = 0)
- XXXXX X minutes, XXX is XX XXXXXX XXXX school
- XX 6 minutes, Charlene stops for X minutes.
(d) Charlene walked 1 XXXXX to XXX subway.
(e) Once XXX got on XXX XXXXX, it took her 4 XXXXXXX
XXXXXXX
1.
- XXXXXX/XXXXXXXX XX a XXXXXXXX. XXX input XXXXX XXX output.
- States/Cities is XXX a XXXXXXXX. One XXXXX gives XXXX XXXXXXX.
- Families/XXXX XX not a function One input gives many XXXXXXX.
- XXXXXXXX/XXXX names XX a XXXXXXXX. XXX input XXXXX XXX output.
X. (a)
x = -X, y = 5(-3) - 7 = -22
x = 0, y = X(0) - 7 = -7
x = X, y = 5(6) - 7 = 23
This is a XXXXXXXX (one XXXXX XXXXX one output)
(b)
XXXX is XXX a function. XXX XXXXX XXXXX many XXXXXXX (x=3)
(c) This XX a XXXXXXXX. XXX input gives XXX output.
(d) This XX XXX a function. One input x=2 XXXXX XXXX XXXXXXX.
XXXXXXXXXXXX
3. Andrew
- The XXXXXX XXXX was XX XXXXXXX long
- XX he arrived XXXXX 4 minutes, XXX XXXXXXXX was 9 XXXXXX
- Andrew XXXXXXX X times for 1 minute XXXXXXX of traffic light XXXXX
- XXXXXX’s trip XXX XXXXXX coming back.
4.
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
Answers: [-3, 5]
(-6, X)
(-X, X]
[-X, XXXXXXXX)
(infinity, 5)
(XXXXXXXX, -X)
XXXXXXXX 2
(X) [-12, X)
XXXXXXXX #X
XX- XX > X
XX &XX; 4x
3 &XX; x
XXXXXXXX notation (infinity, X)
Exercise #X
The solutions are:
(a) [-3, X)
(b) [-3, 2] or (-X, 0)
XXXXXXXX #5. The XXXXXX XX (X)
Fluency
Equivalent XXXXXXXX notation:
X(a) -5 < x ≤ X
X(b) x ≤ -7 and x &XX; -3
2.
(a) x &XX; 4
3 (1) 9 < t &XX; 12
X.
(a)
XXXX use XXXXXX X-9AM and 3-7PM. Interval is X < x &XX; 9 and 15 < x < XX
(b) No, there XXXX not be XXXX a time as XXX XXXXXXX period XX XXXXXXXXXXX XXX is four XXXXX.
X. XXXXX XXXXXX have shaded the rightmost circle and left the leftmost circle hollow.