Free Printable Solving Equations Test Review

1.

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

a)

Add 3

b)

Subtract 11

c)

Add 11

d)

Divide by 3

2.

What is the first step to solve this equation:
$8x-6=10$

a)

Add 6

b)

Subtract 8

c)

Divide by 8

d)

Subtract 6

3.

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

a)

Add 3

b)

Subtract 11

c)

Add 11

d)

Divide by 3

4.

What is the first step to solve this equation:
$4\left(\ 7x-6\right)-5x=4$

a)

combine like terms

b)

isolate the variable

c)

distribute

d)

inverse operations

5.

What is the first step to solve this equation:
$2y-12=9$

a)

Add 12

b)

Subtract 12

c)

Divide by 2

d)

Multiply by 2

6.

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

a)

Add 6, then divide by 5

b)

Add 6, then multiply by 5

c)

Subtract 6, then multiply by 5

d)

Subtract 6, then divide by 5

7.

Solve:

$9x-5=31$

a)

$4$

b)

$36$

c)

$\frac{9}{36}$

d)

$-4$

8.

Solve:

$\frac{1}{12}k-5=-6$

a)

$\frac{12}{11}$

b)

$-\frac{12}{11}$

c)

$-12$

d)

$-\frac{1}{12}$

9.

Solve:

$12-7x=12x-22x+39$

a)

$1$

b)

$-\frac{27}{17}$

c)

$-1$

d)

$9$

10.

Solve:

$5\left(x-2\right)-8x=-8+2x+13$

a)

$1$

b)

$\frac{11}{5}$

c)

$-3$

d)

$\frac{31}{11}$

11.

Solve:

$\frac{p}{11}=4$

a)

$\frac{4}{11}$

b)

$-7$

c)

$44$

d)

$15$

12.

Solve:

$-20=\frac{n}{3}$

a)

$-\frac{20}{3}$

b)

$-23$

c)

$-17$

d)

$-60$

13.

Solve:

$-18=p-15$

a)

$17$

b)

$-\frac{6}{5}$

c)

$-3$

d)

$-33$

14.

Solve:

$\frac{n}{6}=-15$

a)

$-90$

b)

$-9$

c)

$-21$

d)

$-\frac{5}{2}$

15.

Solve:

$9=\frac{6+n}{2}$

a)

$9$

b)

$7$

c)

$12$

d)

$11$

16.

Solve:

$-6+\frac{n}{3}=-3$

a)

$3$

b)

$9$

c)

$14$

d)

$-6$

17.

Solve:

$-3=-6+\frac{n}{2}$

a)

$16$

b)

$-15$

c)

$-10$

d)

$6$

18.

Solve:

$-3r+5=-43$

a)

$-19$

b)

$-16$

c)

$16$

d)

$8$

19.

Solve:

$\frac{x}{2}-5=25$

a)

55

b)

60

c)

15

d)

35

20.

Solve:

$\frac{v+9}{3}=8$

a)

60

b)

-3

c)

15

d)

3

21.

Solve:

$-4x=24$

a)

20

b)

-20

c)

6

d)

-6

22.

Solve:

$3y=-15$

a)

-5

b)

5

c)

-3

d)

3

23.

Solve:

$3x+7=-8$

a)

5

b)

-5

c)

-12

d)

-18

24.

Find the error in the problem shown:

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

25.

Simplify:

2 (4x - 5) + 6

a)

8x - 10

b)

8x - 4

c)

6x - 10

d)

6x - 4

26.

Simplify:

8x + 12 - 4 + 10x - x

a)

18x + 8 - x

b)

19x + 16

c)

17x + 8

d)

17x - 8

27.

Solve:

$7x-3x-8=24$

a)

8

b)

-8

c)

3.2

d)

4

28.

Solve:

$-13=r-3-6r$

a)

$2$

b)

$\frac{10}{6}$

c)

$9$

d)

$-13$

29.

Solve:

$-8+5x-2=20$

a)

6

b)

-6

c)

2

d)

-2

30.

Solve:

$5x-4+2x=3$

a)

1

b)

2

c)

3

d)

4

31.

Solve:

$8+8p=6+6+3p+1$

a)

$-7$

b)

$1$

c)

$14$

d)

$-6$

32.

Solve:

$4+7k-6+2k=6k+2k$

a)

$13$

b)

$2$

c)

$-2$

d)

$-14$

33.

Solve:

$-3\left(3x+4\right)=-84$

a)

$3$

b)

$-8$

c)

$-4$

d)

$8$

34.

Solve:

$43=-7\left(v-3\right)+2\left(2v+2\right)$

a)

$-6$

b)

$8$

c)

$-8$

d)

$7$

35.

Solve:

$3-6\left(-1-2n\right)=81$

a)

$-2$

b)

$-1$

c)

$6$

d)

$13$

36.

Solve:

$-3a+20=5-5\left(-6a-3\right)$

a)

$0$

b)

$5$

c)

$-9$

d)

$-15$

37.

Solve:

$5x+15=-8x-7\left(4x-8\right)$

a)

$-12$

b)

$6$

c)

$1$

d)

$-3$

38.

Solve:

$-3\left(1-4p\right)-7p=-2\left(-2p+3\right)$

a)

$9$

b)

$-7$

c)

$-1$

d)

$-3$

39.

Translate into an equation:

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

40.

Translate into an equation:
Six less than a number is equal to one more than twice the number.

a)

6 - x = 2x +1

b)

2x -6 = x +1

c)

x - 6 = 2x +1

d)

-6 - x = 2x + 1

41.

Translate into an expression:

4 less than two times a number

a)

4-2x

b)

4<2x

c)

2x-4

d)

2-4

42.

A cell phone company charges $50 per month plus $0.18 per text. How many texts can you send/receive in one month for $107.60?

a)

99

b)

385

c)

28

d)

320

43.

Clay went to a sporting event with some friends. They bought 8 snacks of equal price and one drive that cost $6.89. What is the cost of one snack if the total cost was $34.49?

a)

$220.80

b)

$3.45

c)

$5.17

d)

$27.60

44.

Each month Luca'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 Luca talk on the phone last month?

a)

120

b)

100

c)

350

d)

600

45.

Ziana 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 Ziana to save money for a new jacket?

a)

11 weeks

b)

10 weeks

c)

12 weeks

d)

13 weeks

46.

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. Which equation can be used to determine how many pounds it will take for UPS and FedEx to cost the same?

a)

7p +0.20 = 5p + 0.30

b)

0.20p + 7 = 0.30p + 5

c)

7 - 0.20p = 5 - 0.30p

d)

0.20p - 7 = 0.30p - 5

47.

You go to Dollar General and have $10 to spend. Drinks cost $2, a bag of chips costs $1, and a pack of gum costs $0.50. If you buy four bags of chips, how many drinks can you buy?

a)

10 = 2x + 1

b)

10 = 4 + 2x

c)

0.50 = 4 + 2x

d)

10 = 1 + 2 + 4

48.

You take a quiz that has two parts. Your score on the essay part is five points higher than your score on the multiple choice part. Your total score on both parts is 87. Which equation can be used to represent the situation?

a)

x + 5 = 87

b)

87 + x = 5

c)

2x + 5 = 87

d)

x - 5 = 87

49.

Which situation can be represented by 4x + 20 = 12x

a)

Tyler has 4 paintings and paints 20 each week. Nick paints 12 paintings each week. How long will it take for them to have the same number of paintings?

b)

Tyler has 20 paintings and paints 4 each week. Nick has no paintings, but plans on painting 12 each week. How long will it take for them to have the same number of paintings?

c)

Tyler has 12 paintings and paints 20 each week. Nick has no paintings and paints 4 each week. How long will it take for them to have the same number of paintings?

d)

Tyler has 20 paintings and paints 12 each week. Nick has no paintings and paints 4 each week. How long will it take for them to have the same number of paintings?

50.

Erin's age increased by 5 is equal to twice her age decreased by 10.

a)

n + 5 < 2n - 10

b)

n + 5 = 2n - 10

c)

n - 5 = 2n + 10

d)

n + 5 > n + 10

51.

Austin solved the equation as shown below. Which correctly describes the error that Austin made in his work?

a)

Austin did not combine 7x and 8x correctly.

b)

Austin did not combine -3 and -9 correctly.

c)

Austin did not divide correctly.

d)

Austin did not make an error in his work.

52.

The Gonzalez family has three children. On summer break they went to an amusement park. They bought 3 child tickers for $18.50 each and 2 adult tickets. They spent a total of $104.50. Which equation can be used to determine how much each adult ticket cost?

a)

18.50- 2a = 104.50

b)

3(18.50) + 2a = 104.50

c)

2a= 104.50 + 3 + 18.50

d)

104.50 - 18.50

53.

Carpet Cleaner A charges $28.95 plus $18 per room. Carpet Cleaner B charges $19.85 plus $32 per room. Which equation can be used to find the number of rooms for which the total cost of both carpet cleaners is the same?

a)

28.95x + 18 = 19.85 + 32

b)

28.95 + 32x = 19.85 + 18x

c)

28.95 + 18x = 19.85 + 32x

d)

(28.95 + 18)x = (19.85 + 32) x

54.

Jim has one dollar. He spends 16 cents on a pencil. Jim's dad gives him five dollars for mowing the grass. Which equation can be used to determine how much money Jim has now?

a)

100¢ -16¢ ⁼ m

b)

m ⁼ 1 dollar

c)

$1.00 - $.16 + $5.00 ⁼ m

d)

5 +1 + 16 ⁼ m

55.

Ronnie needs 101 cupcakes for a birthday party. He already has 21 chocolate cupcakes and 33 vanilla cupcakes. How many more cupcakes should Ronnie buy?

a)

80

b)

113

c)

47

d)

68

56.

For a field trip, 4 students rode in cars and the rest filled nine buses. Which equation can be used to determine 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

57.

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?

a)

60 - 15x = 210

b)

15x - 60 = 210

c)

15x + 60 = 210

d)

210 + 15x = 60

58.

Which equation has x = 2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x = 25

Solving Equations Test Review

Total questions: 58

Worksheet time: 3hrs 47mins

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