Download Write a verbal expression for each algebraic

9
8. 4(3 + 9)
ANSWER: 48
Mid-Chapter Quiz
Write a verbal expression for each algebraic
expression.
1. 21 − x
9. 3
ANSWER: 4
ANSWER: twenty-one minus x to the third power
10. 2. ANSWER: the sum of three times m to the fifth power and nine
Write the algebraic expression for each verbal
expression.
3. five more than s squared
ANSWER: 2
11. AMUSEMENT PARK The costs tickets to a local
amusement park are shown. Write and evaluate an
expression to find the total cost for 5 adults and 8
children.
ANSWER: 4. four times y to the fourth power
ANSWER: 5. CAR RENTAL The XYZ Car Rental Agency
charges a flat rate of $29 per day plus $0.32 per mile
driven. Write an algebraic expression for the rental
cost of a car for x days that is driven y miles.
ANSWER: 5(45) + 8(25) = 425
12. MULTIPLE CHOICE Write an algebraic
expression to represent the perimeter of the
rectangle shown below. Then evaluate it to find the
perimeter when w = 8 cm.
ANSWER: 29x + 0.32y
Evaluate each expression.
6. 24 ÷ 3 – 2 • 3
ANSWER: 2
A 37 cm
B 232 cm
7. ANSWER: 9
8. 4(3 + 9)
ANSWER: 48
9. ANSWER: 4
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10. C 74 cm
D 45 cm
ANSWER: C
Evaluate each expression. Name the property
used in each step.
3
13. (8 − 2 ) + 21
ANSWER: 3
(8 − 2 ) + 21
= (8 − 8) + 21
= 0 + 21
Substitution
Additive Inverse
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= (18 + 32) + (35 +
15)
= 50 + 50
= 100
D 45 cm
ANSWER: Mid-Chapter
Quiz
C
ANSWER: 3
(8 − 2 ) + 21
= (8 − 8) + 21
= 0 + 21
= 21
Substitution
Additive Inverse
Additive Identity
17. 0.25 ∙ 7 ∙ 4
ANSWER: 0.25 ∙ 7 ∙ 4
= 0.25 ∙ (7 ∙ 4)
= 0.25 ∙ 28
=7
Associative Property (×)
Substitution
Substitution
Use the Distributive Property to rewrite each
expression. Then evaluate.
18. 3(5 + 2)
14. 3(1 ÷ 3) ∙ 9
ANSWER: 3(5) + 3(2); 21
Substitution
= 1 ∙ 9
= 9
Substitution
Additive Identity
Evaluate each expression. Name the property
used in each step.
3
13. (8 − 2 ) + 21
ANSWER: 3(1 ÷ 3) ∙ 9
Associative Prop. (+)
Multiplicative Inverse
Multiplicative Identity
19. (9 – 6)12
ANSWER: 9(12) + (−6)(12); 36
20. 8(7 – 4)
15. ANSWER: 8(7) – 8(4); 24
ANSWER: Multiplicative Identity
Substitution
= 1
Multiplicative Inverse
Use the Distributive Property to rewrite each
expression. Then simplify.
21. 4(x + 3)
ANSWER: 4(x) + 4(3); 4x + 12
22. (6 – 2y)7
16. 18 + 35 + 32 + 15
ANSWER: 6(7) – 2y(7); 42–14y
ANSWER: 18 + 35 + 32 + 15
= 18 + 35 + 32 + 15
= (18 + 32) + (35 +
15)
= 50 + 50
= 100
Commutative Prop. (+)
Associative Prop. (+)
Substitution
Additive Identity
17. 0.25 ∙ 7 ∙ 4
ANSWER: 23. –5(3m – 2)
ANSWER: –5(3m) – (–5)(2); –15m +10
24. DVD SALES
A video store chain has three locations. Use the
information in the table below to write and evaluate
an expression to estimate the total number of DVD’s
sold over a 4-day period.
0.25 ∙ 7 ∙ 4
= 0.25 ∙ (7 ∙ 4) Associative Property (×)
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= 0.25
∙ 28- PoweredSubstitution
=7
Substitution
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ANSWER: 4(145 + 211 + 184); 2160
6(7) – 2y(7); 42–14y
23. –5(3m – 2)
ANSWER: Mid-Chapter
Quiz
–5(3m) – (–5)(2); –15m +10
24. DVD SALES
A video store chain has three locations. Use the
information in the table below to write and evaluate
an expression to estimate the total number of DVD’s
sold over a 4-day period.
ANSWER: 4(145 + 211 + 184); 2160
25. MULTIPLE CHOICE
Rewrite the expression (8 – 3p )(–2) using the
Distributive Property
F 16 – 6p
G –10p
H –16 + 6p
J 10p
ANSWER: H
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