wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Multi-Step Equations

Total questions: 20

Worksheet time: 2hrs 14mins

Name
Class
Date
1.

What is the next step to solve this equation?
3x - 5 = 7

a)

Add 5 to both sides of the equation

b)

Add 3x to both sides of the equation

c)

Subtract 5 from both sides of the equation

d)

Subtract 7 from both sides of the equation

2.
-15 = 5a +12- 2a + 6
a)
-11
b)
-3
c)
10
d)
7
3.
3a + 9 + 4a = 2
a)
-1
b)
1
c)
no solution
d)
-7
4.
4(a + 3) = -32
a)
-11
b)
-44
c)
-20
d)
-8
5.
0.75 + 2(a - 0.5) = 3a - 0.4
a)
0.15
b)
5
c)
1.5
d)
3.75
6.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

7.
Solve.
(2x - 3) / 4  = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
8.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
9.

Mrs. Burrell is buying donuts for a morning study session. She can spent $35. If it costs $3 per donut and $2 for a chocolate milk for herself, how many donuts did she buy for her students?

a)

12 donuts

b)

14 donuts

c)

10 donuts

d)

11 donuts

10.
Solve the equation:
3x - x + 2 = 4(2x - 1)
a)
infinite solutions
b)
x = 1
c)
x = -1
d)
no solution
11.

6 (-6 -5v) = 84

a)

-3

b)

-5

c)

-4

d)

3

12.

Marianna wants to buy a new tennis racket that costs $57.50. She has $8 and plans to save $4.50 each week. How many weeks will it take her to save the money?

a)

10 weeks10\ weeks  

b)

11 weeks11\ weeks  

c)

15 weeks15\ weeks  

d)

24 weeks24\ weeks  

13.

2x + 5(-3x – 10) = -154

(a)  

14.

5 – 2(3 – x) = 4x + 10

(a)  

15.

Expand and simplify 3(c - 2d) - 2(2c - 3d).

a)

-c

b)

c

c)

-c - 12d

d)

-c + 12d

16.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
17.
7a(3b - 2c + 4)
a)
10ab + 5ac + 11a
b)
10ab + 5ac + 28a
c)
21ab + 14ac + 28a
d)
21ab - 14ac + 28a
18.
Combine like terms to simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
19.

(4x2+ x) - (x2+ 2x)

a)

3x2 - x

b)

4x2 + 2x

c)

3x2 + 3x

d)

3x2 + 2x

20.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7