Free Printable Solving Equations

1.

What is the first step to solve this equation:
-11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

2.

Solve for x:
x + 8 = -3

a)

x = -5

b)

x = 5

c)

x = -11

d)

x = 11

3.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

4.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

5.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

6.

What is the first step in solving
3x - 2 = -5?

a)

Subtracting 2 from each side

b)

Adding 2 to each side

c)

Multiplying by 3 on each side

d)

Dividing by 3 on each side

7.

Each month Mark's phone company charges a flat fee of $12 plus $0.05 per minute. His bill for last month was $18. How many minutes did Mark talk on the phone last month?

a)

120

b)

100

c)

350

d)

600

8.

Sophie has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Sophie to save money for a new jacket?

a)

11 weeks

b)

10 weeks

c)

12 weeks

d)

13 weeks

9.

After paying $8.24 for a sandwich,Amanda has $7.71. With how much money did she start?

a)

$17.55

b)

$24.19

c)

$15.95

d)

$0.50

10.

$\frac{1}{2}\ x\ -\ 6\ =\ 4$

a)

x = -4

b)

x = -2

c)

x = 10

d)

x = 20

11.

Solve the following equation:

$11.7x-15=8.4$

a)

x = 5

b)

x = 3

c)

x = 2

d)

x = -1

12.

$3\left(x-4\right)=-3$

a)

x = 3

b)

x = -3

c)

x = 5

d)

x = -5

13.

Translate:
Four times a number plus six IS 30.

a)

4 + 6 = 30

b)

4x + 6 = 30

c)

x + 4 times 6 = 30

d)

30 = 4x

14.

Solve
7y - 4 = -11

(a)

15.

9f - 9 = 18

a)

f = 3

b)

f = -3

c)

f = 8

d)

f = -8

16.

Solve:
3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

no solution

d)

infinite solutions

17.

What is the inverse operation of multiplication?

a)

multiplication

b)

addition

c)

subtraction

d)

division

18.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

19.

(a)

20.

Select the operations that are used to solve the two-step equation:

6x-13=39

a)

multiplication & subtraction

b)

addition & division

c)

subtraction & division

d)

multiplication and addition

21.

Solve:

$\frac{x-7}{-3}=1$

(a)

22.

Solve:

$\frac{n+28}{5}=4$

(a)

23.

Solve:

-5(2x-6)=-10

(a)

24.

Solve for the variable. $\frac{2}{5}x\ =10$

a)

15

b)

50

c)

25

d)

4

25.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

26.

A bowling alley charges x dollars per guest and a fixed $40 rental fee for parties.

Which equation represents the total cost, y, for 5 guests?

a)

y = 5x + 40

b)

y = 5x + 35

c)

y = 5x

d)

y = 40x + 5

27.

Solve for m: 3m - 4 - 5m = 10

a)

m = 3

b)

m = 9

c)

m = -7

d)

m = 7

28.

Troy and two of his friends do yard work for Troy's dad. After Troy's dad paid $35 for gas and expenses, the boys made $129 in October. How much will each boy make?

a)

129

b)

22

c)

43

d)

64

29.

Dan and his friends went golfing. They lost 1/3 of their golf balls in the woods and pond. If they have 24 golf balls left, how many did they start with?

(a)

30.

Alicia and her friends went shopping. Alicia spent twice as much as her friend Summer and 3 times as much as her sister Michelle. Michelle spent $15. How much did Alicia spend while shopping?

(a)

Solving Equations

Total questions: 30

Worksheet time: 1hrs 26mins

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