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Multi-Step Equations Review

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
2.
What is the first step in solving the equation 2a - 4(a - 5) = 10
a)
Add 4 to both sides
b)
Add the 2a and a 
c)
Distribute 4 to a and -5
d)
Distribute -4 to a and -5
3.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
4.
a)
4
b)
2
c)
-2
d)
-4
5.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
6.
-11 + 3(b + 5) = 7
a)
b = 1
b)
b= -1
c)
b = 3
d)
b = -3
7.
2 + 14a = -8 + 9a
a)
-2
b)
3
c)
5
d)
-10
8.
a)
9
b)
3
c)
6
d)
0
9.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
10.
22 + 2a = 37 + 6 + a
a)
21
b)
-21
c)
5
d)
6
11.

8x - 6 = 2 (4x - 3)

a)

-3

b)

3

c)

infinite solutions

d)

no solutions

12.

12 x - 10 = 3 (4x - 4) - 2

a)

infinite solutions

b)

no solution

c)

-1

d)

1

13.

Mr. Thompson is buying donuts for a morning study session. He can spend $35. If it costs $3 per donut and $2 for a large coffee for himself, how many donuts did he buy for his students?

a)

12 donuts

b)

14 donuts

c)

10 donuts

d)

11 donuts

14.

Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?

a)

96h + 15 = 8

b)

h/96 = 8

c)

8h + 15 = 96

d)

8h = 96

15.
Solve:
32 - 7x = -6(x + 3)
a)
50
b)
3
c)
-3
d)
-50
16.

8 − 2(4m + 9) = 6m − 4(m − 5)

a)

3

b)

Infinite Solution

c)

-3

d)

10

17.

 (5v−10)v−6=52\frac{\left(5v-10\right)}{v-6}=\frac{5}{2}  

a)

2

b)

No Solution

c)

5

d)

-2

18.

6(2x − 7) = 3(5x − 8)

a)

-6

b)

6

c)

No Solution

d)

10

19.
-5-r = 1+2r
a)
21
b)
- 2
c)
- 4
d)
4
20.
2/3(5x + 6) = 34
a)
51
b)
45
c)
8
d)
9