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Unit 8 Test Review/Study Guide (Math 7)

Total questions: 20

Worksheet time: 39mins

Name
Class
Date
1.
Solve the equation:
x - 3 = -12
a)
x = 9 
b)
x = -15
c)
x = -9
d)
x = 15
2.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
3.
Solve the following equation
c / 4 = 4
a)
1/4
b)
8
c)
1
d)
16
4.
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
5.
2.     2x + 6 = 14
a)
x = 4
b)
x = 10
c)
x = -4
d)
x = 3
6.

Solve the equation: -5x = 25

a)

20

b)

-20

c)

-5

d)

5

7.

Solve for x using distribution:

–2(x+5) = 8

(a)  

8.

What's the FIRST step to solving the equation below:

3(2x−5)=213\left(2x-5\right)=21  

a)

add the 5

b)

divide by the 2

c)

distribute the 3

d)

subtract the 21

9.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
10.

Solve the equation.


2(x - 4) =18

a)

x = 20

b)

x = 7

c)

x = 11

d)

x = 13

11.
Find the solution:
10 = 4x - 2
a)
x = 3
b)
x = 2
c)
x = -3
d)
x = -2
12.
Solve the equation:
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
13.

What is the firs step in solving for the variable?

3a + 6 −7a = 103a\ +\ 6\ -7a\ =\ 10  

a)

Distributive property

b)

Combine Like Terms

c)

Move the variables to the same side

d)

Solve for the variable

14.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
15.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
16.
Keith bought a soft drink for 2 dollars and 6 candy bars. He spent a total of 14 dollars. How much did each candy bar cost? 
a)
$12
b)
$6
c)
$2
d)
$3
17.
Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?
a)
2.5 hours
b)
4.5 hours
c)
7.5 hours
d)
10.5 hours
18.

Jackie bought 2 pairs of ballet shoes and a tutu from Dance Works. She remembered that tutu was $38 and that the total cost was $148. Which equation can be used to find b, the cost of each pair of ballet shoes?

a)

148 = 2b + 38

b)

148 = 2b + 55

c)

148 = 38 + b

d)

148 = 38b

19.

This year, there are a total of 357 students in 6th grade. On Tuesday, sixteen classes had x 6th graders in them. There were a total of 15 students absent that day.


This situation can be represented by the equation:

357 = 16x+15

What would be the FIRST step in solving this equation?

a)

Subtract 15 from both sides of the equation

b)

Divide by 16 on both sides of the equation

c)

Add 15 to both sides of the equation

d)

Multiply by 16 on both sides of the equation

20.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190