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Multi-Step Equation Review

Total questions: 25

Worksheet time: 3hrs 36mins

Name
Class
Date
1.

Solve the following two-step equation

2x - 14 = 34

a)

x = 10

b)

x = 48

c)

x = 40

d)

x = 24

2.

What value for x makes the following equation true?

12x + 4x = 64

a)

x = 4

b)

x = 16

c)

x = 8

d)

x = -4

3.

Solve the following equation

5x + 3 = 28

a)

x = 25

b)

x - 6.2

c)

x = 5

d)

x = 3.8

4.

6m + 5(m - 2) = 56

What is the first step you would do to solve this problem?

a)

Use the distributive property to remove the parentheses (multiply both terms inside the parentheses by 5)

b)

Combine like terms

c)

Subtract 5 from both sides

d)

Add 2 to both side

5.

6m + 5m - 10 = 56

What is the first step you would do to solve this problem?

a)

Combine like terms

b)

Divide by 11 on both sides

c)

Subtract 11 from both sides

d)

Subtract m from both sides

6.

Solve:  12=2+5d+2dSolve:\ \ -12=2+5d+2d  

(a)  

7.
4(a + 3) = -32
a)
-11
b)
-44
c)
-20
d)
-8
8.
8 = (34)a +12 - a + 4
a)
32
b)
-6
c)
-4
d)
4
9.
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
10.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
11.
Solve the equation:
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
12.

Find the value of x in the equation: 0.6x - 0.4 = 1.2

a)

2.67

b)

1.8

c)

3.14

d)

0.5

13.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
14.

Solve for x:


1.06x - 3 = 0.71

a)

35

b)

3.5

c)

.35

d)

0.035

15.

Solve for k:


0.11k + 1.5 = 2.49

a)

.9

b)

.09

c)

9

d)

90

16.

Solve for n:


0.25n + 0.1n = 9.8

a)

28

b)

280

c)

45

d)

450

17.
WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
a)
4x=472
b)
9x=472
c)
4+9x=472
d)
4+x=472
18.
Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?
a)
4 boxes
b)
5 boxes
c)
6 boxes
d)
7 boxes
19.
A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
20.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

21.
After paying $3.32 for a sandwich, Brenda has $19.79. How much money did she start with? Which equation could you use to solve this problem?
a)
3.32m=19.79
b)
m-19.97=3.32
c)
m-3.32=19.79
22.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
23.
Solve for x
a)
20
b)
25
c)
120
d)
180
24.
Solve for x
a)
5
b)
10
c)
25
d)
85
25.
Solve for x
a)
5
b)
90
c)
25
d)
10