Free Printable Equations Review Exam

Worksheets

Equations Review Exam

Total questions: 70

Worksheet time: 1hrs 10mins

Name

Class

Date

Translate the statement into an equation:

Five less than a number is 6

n - 5 = 6

5 - n = 6

6 - 5 = 1

What is the solution of 6d = 24

d = 4

d = 5

d = 18

d = 144

Which equation has x = 9 as a solution?

4 + x = 12

5x = 45

2x = 20

x + 7 = 26

x + 12 = -20

x = 32

x = -32

x = 8

x = -8

$\frac{u}{4}=12$

u = 3

u = 8

u = 16

u = 48

Solve:

-4x = 24

x = 6

x = -6

x = 20

x = 28

Translate the sentence into an equation:

The product of a number and two-thirds is 24.

2/3 + x = 24

2/3 x = 24

3/2 x = 24

x + 2/3 = 24

Translate the statement into an equation:
6 less than twice a number is 4

2n - 6 = 4

6 - 2n = 4

Two more than 4 times a number is -18.

4x + 2 = -18

2x + 4 = -18

18 = 4x + 2

10.

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

Add 3 to both sides

Subtract 11 from both sides

Add 11 to both sides

Divide 3 on both sides.

11.

Solve:

3x + 7 = -8

x = -5

x = 5

x = -12

x = -18

12.

Solve for x:

8x - 10 = -34

x = 4

x = 3

x = -3

x = -24

13.

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

Add 6 to both sides and divide both sides by 5

Add 6 to both sides and multiply both sides by 5

Subtract 6 from both sides then multiply both sides by 5

Subtract 6 from both sides then divide both sides by 5

14.

^a⁄₃+ 7= 13

a= 2

a= 6

a= 18

a= 20

15.

²/₃ x - 4 = -10

-4

-9

16.

Solve for x:
8x - 10 = -34

x = 4

x = 3

x = -3

x = -24

17.

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

x = 2

x = 1.2

x = 12

x = -2

18.

Solve for the variable.
3x = -27

x = 9

x = -30

x = -9

x = -24

19.

Solve for x.
x - 9 = 15

x = 23

x = 6

x = 24

x = 11

20.

Solve for x.
x - 12 = -14

x = 26

x = -2

x = -26

x = 2

21.

Solve for x.
4x - 6 = 30

x = 9

x = 13

x = 36

x = 4

22.

Solve for x.
x/5=4

x = 1.25

x = 9

x = 1

x = 20

23.

Solve for x.
4x + 3 = -5

x = 1/2

x = -1/2

x = -2

x = 2

24.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

Inverse operations

math

variable

PEMDAS

25.

Solve for x.
2/9x = -4

x = 72

x = -26

x = 10

x = -18

26.

Solve for x.
3/5x = 6

x = 10

x = 33

x = 11 1/3

x = 90

27.

Solve for m:
3/4m - 3 = 9

x = 16

x = -12

x = -18

x = 8
24

28.

Solve for x.

x = 13

x = 6

x = 23

x = 16

29.

What is the first step to complete when solving this equation?
10 - 3x = 4

Add 10

Subtract 10

Add 3

Divide by -3

30.

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

Divide by 5

Subtract 5

Add 7

Subtract 7

31.

Solve for x.

x = -13

x = -5

x = -4

x = 4

32.

What would be the first step in solving the equation?

Multiply by -15.

Add 15.

Add 3.

Multiply by -3

33.

Solve for the variable.

n = 12

n = 8

n = -36

n = -12

34.

What would be the first step to solve the equation?

Add 11.

Subtract 6.

Multiply by -11.

Divide by 6.

35.

What is the inverse operation of multiplication?

multiplication

addition

subtraction

division

36.

Solve.
3x - 12 = -3

x = 3

x = -3

x = 5

x = -5

37.

Solve the following equation for n:
8n = 16

n=24

n=6

n=2

n=8

38.

Solve the following equation for n:
8 + n = 16

n=24

n=6

n=2

n=8

39.

Solve: x + 6 = -11

-5

-17

40.

Solve:
-6 - 2x = -14

-10

41.

Javier has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Javier needs to save to by the IPOD?

55 + x = 145

145x = 55

55 - x = 145

145 (55) = x

42.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

f + 8 = 14

f - 8 = 14

f/8 = 14

8f=14

43.

Darshany bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

18c=6

c + 6= 18

c +18 = 6

3c=18

44.

Select the equation that best represents the situation:

Dr. Lahana takes 30 seconds to solve a Math problem. This is twice as much time as it takes Ms. Rosegreen to solve a Math problem.

w $\div$ 2 = 30

w + 2 = 30

2w = 30

w - 2 = 30

45.

Select the equation that best represents the situation:

In a normal day, Skyah spends half as much time watching Nextflix as Jade does. If Skyah watches 120 minutes of Nextflix, how much does Jade watch?

j $\div$ 2 = 120

2j = 120

2 $-$ j = 120

2 $\div$ j = 120

46.

Select the equation that best represents the situation:

After eating at the restaurant, Jude, Luke, and Michael decided to divide the bill evenly. If each person paid 27 dollars, what was the total of the bill ?

b $\div$ 3 = 27

3b = 27

27 = b + b + b

3 $\div$ b = 27

47.

If one roll of masking tape costs $1.15, how many rolls can Emma buy with $5.75?

1.15(5.75) = x

5.75x = 1.15

1.15x = 5.75

x = 1.15/ 5.75

48.

Breanna went to the mall and spent $35.00 on shoes. When she got home she had $40.00 in her purse. which equation can be used to find the amount of money she started with?

x - 35.00 = 40.00

40.00 - 35.00 = x

35.00x = 40.00

40.00x = 35.00

49.

Select the equation that best represents the situation: Mrs. Lamb is baking a cake. The recipe calls for nine cups of flour. She already put in two cups.

r $\div$ 2 = 9

r $-$ 2 = 9

r + 2 = 9

2r = 9

50.

Charlie has some candy. He shares ten pieces with Betsy and is left with 24 pieces. Which equation should I use to solve this problem?

x +10 = 24

x - 10 = 24

10x = 24

x + 24 = 10

51.

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.

7x + 35 = 63

7x = 63

7x - 35 = 63

35x + 7 = 63

52.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

.50x + 20 = 35

.50x = 35

.50 + 20x = 35

.50x - 20 = 35

53.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

11x + 6 = 39

11x - 6 = 39

11 + 6x = 39

66x = 39

54.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip.
The correct equation was 11x + 6 = 39.
So, how many hours was the lesson?

x = 3

x = 2

x = 4

x = 5

55.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

50 + 20m = 290

20 + 50m = 290

50 + 20 = m

50m - 20 = 290

56.

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?

57.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

h = 2(9) + 15

33 = 15h + 2

h = 15(9) + 2

33 = 2h + 15

58.

r divided by 8 is 9

r/8 = 9

8/r = 9

r = r/8

9 = 8/r

59.

Twice a number plus 6 is -72

2 + 6x =- 72

2x + 6 = -72

2 + 6 = x

2x² + 6 = 72

60.

Mo is thinking of a number. Eleven more than one third of a number is -1. Which equation would help me find Mo's number?

1/ 3 + 11 = -1

3x + 11 = -1

1/3x + 11 = -1

1/3x + 11 = 1

61.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

62.

WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?

x/2 + 16= 36

36 + 16 = x

x/2 - 16 = 36

x/2 = 36 + 16

63.

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

12 + 14x = 50

12x + 14 = 50

50 - 14 - 12 = x

50x + 12 = 14

64.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.

y = 8.5 + 25.5

y = 8.5x + 25.5

y = 8.5 + 25.5x

y = 8.5x + 25.5x

65.

What operation do these terms mean?

per

each

every

product

addition

subtraction

multiplication

division

66.

What operation do these terms mean?
combined
increased by
more than

addition

subtraction

multiplication

division

67.

What operation do these terms mean?
difference
decreased by
less than

addition

subtraction

multiplication

division

68.

While at the music store, Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61. What was the price of each CD?

5x + 6 = 61

x/5 + 6 = 61

5/x + 6 = 61

x + 5 + 6 = 61

69.

Translate the sentence into an equation:
Four more than six times a number is 18.

10x = 18

4x + 6 = 18

4 + 6x = 18

not enough info

70.

Mr Carrillo'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 Mr. Carrillo bought. Write the equation and solve for x.

-5+6x = 41, 4 meals

6x + 5 = 41, 6 meals

6x = 36 meals

5 + 6x = 41, 7 meals

100 %

Equations Review Exam

Total questions: 70

Worksheet time: 1hrs 10mins

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