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Period: ______
Date: _______________
Review for Quiz #4: 7/8A
Day 12
Answer the following questions. Show all algebraic work!
1.
Which of the following is an example of the Inverse Property of Multiplication?
1 -1
1
+ (- 3) = 0
+ =0
a:
b:
3
3 3
c:
2.
1
·
3
ж3 ц
зз ч
ч =1
и1 ш
d:
1
·
3
ж- 3 ц
з ч =1
з 1ч
и ш
Which of the following is an example of the Inverse Property of Addition?
1 -1
1
+ (- 3) = 0
+ =0
a:
b:
3
3 3
c:
1
·
3
ж3 ц
зз ч
ч =1
и1 ш
d:
1
·
3
ж- 3 ц
з ч =1
з 1ч
и ш
3.
Gus rewrote (4x + 6) – 8 as 4x + (6 – 8). What property allowed him to correctly do that?
a:
Associative Property
b:
Commutative Property
c:
Identity Property
d:
Distributive Property
4.
Which of the following expressions is NOT equivalent?
a:
4(3x – 20)
b:
12x – 80
c:
80 – 12x
d:
2(6x – 40)
5.
8 x - 24
Factor the following expressions completely:
a:
2(4x – 12)
b:
4(2x – 6)
c:
8(x – 24)
d:
8(x – 3)
6.
10 x - 50
Factor the following expressions completely:
a:
5(2x + 10)
b:
5(2x – 10)
c:
10(x + 5)
d:
10(x – 5)
7.
Use the Distributive Property to simplify:
a:
–21x + 5
b:
c:
–21x + 35
d:
–7(3x + 5)
–21x – 5
–21x – 35
(#8-9) Match each word problem to the algebraic equation that represents the scenario.
8.
Mrs. Golden’s class is selling holiday wreaths to earn money for a field trip. For every wreath sold, the
class makes $6.25. They have already earned $245.75, but they need $950. Which algebraic equation
below should be used to determine many wreaths, w, they must sell to earn $950?
a:
245.75 – 6.25w = 950
b:
245.75 + 6.25w = 950
c:
950 + 6.25w = 245.75
d:
950w + 6.25= 245.75
9.
The cost for cable TV service in a Springfield is $45 for the installation and $24 a month for service.
Which algebraic equation below should be used to determine how many months, m, Homer was being
charged if his cable bill was $117?
a:
45 + 24m = 117
b:
45 + 117 = 24m
c:
24 + 45m = 117
d:
69m = 117
(#10-13) Simplify the following algebraic expressions and write in standard form.
10. –5(7x) + 2(8x)
11.
4(–5n + 6) – 3n
12.
5
1
x  9  x
8
4
13.
1
15x  30   25x
5
(#14-21) Solve. Show all algebraic work!
14.
2x – 40 = ─86
15.
5
a ─ 6 = 24
7
17.
1
16  12 x   25
4
–4(–3x – 5) = 12
19.
6a + 4(3a + 5) = –16
–3(4x + 3) + 4(6x + 1) = 43
21.
–2w –7 – 10w = 41
16.
10 +
18.
20.
w
=3
4
(#22-23) Answer the following questions. Show ALL algebraic work! Remember to write let
statements when appropriate.
22.
Harold works in New York City and makes $42 per hour. He works in an office and must get his suit dry
cleaned every day for $75. If he wants to make $261 a day, what is the amount of hours he must work?
Write and solve an algebraic equation.
23.
Use the figure below to answer the following questions.
10x – 2
2x – 1
6x – 3
a:
Write an algebraic expression to represent the perimeter of the triangle above.
b:
Write an algebraic equation to represent the perimeter if the perimeter of the triangle is 120
inches.
c:
Solve the algebraic equation that you wrote in part b to find the value of x.
Study 1st quiz!  15. Simplify the following:
3
2
 4 x   7  x   6
4
7 