Free Printable Solving Equations Review

1.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

2.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

3.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

4.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

5.

Zaira spent a total of 55 hours in 2 weeks working on a science project. She worked 32 hours the first week. How many hours did she work in the second week?

a)

13 hours

b)

23 hours

c)

64 hours

d)

87 hours

6.

For a field trip 7 students rode in cars and the rest filled four buses. How many students were in each bus if 203 students were on the trip? Write an equation to find the solution.

a)

56

b)

50.75

c)

49

d)

43

7.

Mrs. Schmidt's family bought lunch from Culvers. They also bought some sodas from Quick Trip for $5.00. The meals cost $6.00 each. The total cost of the lunch and soda was $41.00. Let x represent the cost of the number of meals that Mrs. Schmidt bought. Write the equation and solve for x.

a)

-5+6x = 41, 4 meals

b)

6x + 5 = 41, 6 meals

c)

6x = 36 meals

d)

5 + 6x = 41, 7 meals

8.

Solve.

a)

-12

b)

0

c)

1

d)

3

9.

-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

10.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

11.

m - 8 = -5

a)

m = 13

b)

m = -13

c)

m = 3

d)

m = -3

12.

How would you solve this equation: 9x = 153 ?

a)

multiply both sides by 9

b)

divide both sides by 9

c)

add 9 to both sides

d)

subtract 9 from both sides

13.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

14.

Which equation has a = 5 as the solution?

a)

a + 15 = 10

b)

2a = 5

c)

2a = 10

d)

a - 15 = 10

15.

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

16.

x - 62 = 123
How should you show your work to solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

17.

-5t + 9 = 24

a)

t = -3

b)

t = 3

c)

t = 33/5

d)

t = -33/5

18.

Solve 3x - 7 = 32

a)

x= 13

b)

x= -13

c)

x= 12

d)

x= -12

19.

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

20.

Simplify the expression.
3 - 4a + 7 + 2a

a)

10 - 6a

b)

-6a + 10

c)

-2a + 10

d)

-2a - 10

21.

Simplify the expression.
10(6 + 9b) + 7b

a)

-60 - 97p

b)

60 - 97p

c)

97p - 60

d)

97p + 60

22.

Simplify the expression.
-3(v + 1) - v

a)

-3v - 3 - v

b)

-4v - 3

c)

4v - 3

d)

3 - 4v

23.

What property must you do to eliminate the parentheses in an equation?

a)

Distributive Property

b)

Multiplication Property

c)

Associative Property

d)

Commutative Property

24.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

25.

Solve for x.

a)

55

b)

60

c)

15

d)

35

26.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

27.

What is the first step in solving this equation:

10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

28.

Find the Error
What error did the student make when solving the equation:
5x + 6 = 66
5x - 6 = 66 -6
5x = 60
5*5x= 60*5
x = 300

a)

The student subtracted 6 from both sides instead of adding

b)

Student multiplied by 5 instead of dividing by 5

c)

Student got the wrong answer when subtracting 66-6

d)

The student did not correctly eliminate the variable from one side of the equation

29.

What is the inverse operation of multiplication?

a)

multiplication

b)

addition

c)

subtraction

d)

division

30.

$-61=d+\left(-18\right)$

a)

$d=43$

b)

$d=-43$

c)

$d=79$

d)

$d=-79$

31.

$\frac{c}{4}=16$

a)

$c=4$

b)

$c=12$

c)

$c=20$

d)

$c=64$

32.

$1+\frac{x}{9}=4$

a)

$x=45$

b)

$x=35$

c)

$x=37$

d)

$x=27$

33.

$9b+27=-72$

a)

$b=-11$

b)

$b=11$

c)

$b=-5$

d)

$b=5$

34.

$\frac{-5+m}{6}=-11$

a)

$m=61$

b)

$m=-61$

c)

$m=-71$

d)

$m=71$

35.

Julian and Makayla order season tickets for the local soccer team. The ticket package they choose costs $780 and includes 12 games. Write and solve an equation that represents the cost per game g.

a)

$780g=12;\ g=64$

b)

$12g=780;\ g=64$

c)

$\frac{780}{g}=12;\ g=93.60$

d)

$\frac{12}{g}=780;\ g=93.60$

36.

28=-2-5x

a)

-6=x

b)

x = 6

c)

-3=x

d)

x=-3

37.

2 = 7 + $\frac{b}{4}$

a)

18= b

b)

-15 = b

c)

-20 = b

d)

22 = b

38.

13 = $\frac{x}{3}$ + 8

a)

20 = x

b)

15 = x

c)

25 = x

d)

10 = x

39.

$\frac{r}{16}+6\ =\ 7\$

a)

r = 11

b)

r = 22

c)

r = 16

d)

r = 10

40.

$0\ =\ \frac{n}{2}-\ 4$

a)

2 = n

b)

8 = n

c)

4 = n

d)

6 = n

41.

What is the first step in solving the following equation?
3x - 5 = 20

a)

multiply both sides by 5

b)

add 5 to both sides

c)

divide both sides by 5

d)

subtract both sides by 5

42.

$\frac{b+7}{4}=9$

a)

-29

b)

29

c)

8

d)

-8

43.

16=17-x

a)

33

b)

-33

c)

-1

d)

1

44.

4a - 5 = 11

a)

4

b)

-4

c)

1.5

d)

-1.5

45.

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

46.

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

47.

Solve for p.

a)

p = 2

b)

p = -2

c)

p = -1

d)

p = 4

48.

Solve for k.

a)

k = -7

b)

k = 2

c)

k = 3

d)

k = -3

49.

What operation would you perform first and then second when solving for m in the following equation?
10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

50.

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.

51.

Solve for x.
2x + 6 = 14

a)

x = 4

b)

x = 10

c)

x = -4

d)

x = 3

52.

Solve for x.
-3x + 5 = -13

a)

x = -5

b)

x = 2

c)

x = -6

d)

x = 6

53.

Solve for x.
-4x + 1 = 21

a)

x = 120

b)

x = 5

c)

x = 30

d)

x = -5

54.

Solve for x.
5x + 4 = -6

a)

x = 2

b)

x = -2

c)

x = 10

d)

x = 15

55.

Solve for x.
-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

56.

Write an equation.
Jennifer has read 110 pages of a 290-page book. She reads 20 pages each day. How many days will it take her to finish the book?

a)

9 days

b)

10 days

c)

20 days

d)

13 days

57.

Solve the equation

a)

6

b)

-6

c)

18

d)

-2

58.

Solve for n

a)

n = 9

b)

n = 3

c)

n = 27

d)

n = 15

59.

Solve
0 = 4g

a)

g = 4

b)

g = 1

c)

g = -4

d)

g = 0

60.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

Solving Equations Review

Total questions: 60

Worksheet time: 3hrs 0mins

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