Free Printable Equations

1.

$\frac{r}{10}+4=5$

a)

r=10

b)

r=3

c)

r=7

d)

r=-6

2.

3y-2=-29

a)

y=9

b)

y=-9

c)

y=11

d)

y=-25

3.

$\frac{z}{2}+5=3$

a)

z=-16

b)

z=4

c)

z=16

d)

z=-4

4.

4w-9=-9

a)

w=45

b)

w=0

c)

w=2

d)

w=7

5.

-12a+4=100

a)

-8

b)

12

c)

8

d)

-12

6.

$6+\frac{x}{2}=4$

a)

-4

b)

4

c)

20

d)

-20

7.

$-2=2+\frac{x}{4}$

a)

16

b)

0

c)

-16

d)

-4

8.

$-15=-4t+5$

a)

-5

b)

2

c)

5

d)

-2

9.

$-6=\frac{x}{2}-10$

a)

-32

b)

8

c)

32

d)

-8

10.

2r+10=-2

a)

4

b)

-4

c)

6

d)

-6

11.

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.

12.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

13.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

14.

Level 3

Solve for x

a)

x = 2

b)

x = -2

c)

x = -10

d)

x = 4

15.

Level 3

Identify the steps to solve for b

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

16.

x - 62 = 123

How should you show your work to isolate the variable and 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.

Solve for y.

-15 = -4y + 5

a)

y = -5

b)

y = 5

c)

y = -24

d)

y = -16

e)

y = 80

18.

Solve for x:

\frac{x+9}{3}=8

(a)

19.

Solve for y:

$\frac{y}{3}-5=2$

(a)

20.

3(x+2) = 15

a)

13

b)

7

c)

4.33333

d)

3

21.

7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

22.

-12 = 24 + 4b

a)

3

b)

0

c)

-9

d)

9

23.

3g - 5 =17

a)

10

b)

-7

c)

7.33333333333

d)

6

24.

9=4g+13

a)

1

b)

-1

c)

0

d)

3

25.

13= 5m -2

a)

-3

b)

2

c)

3

d)

-2

26.

3(x+2) = 15

a)

13

b)

7

c)

4.33333

d)

3

27.

2(2x - 1) = 10

a)

3

b)

2

c)

6

d)

2.25

28.

63 = 7(1 + 4b)

a)

2.25

b)

2.5

c)

14

d)

2

29.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

30.

Use the Distributive Property to solve the equation.
4( x + 2) = 16

a)

-2

b)

0

c)

1

d)

2

31.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

32.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

33.

n +10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n + 7

34.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

35.

13+6k+11k-10

a)

17k+-13

b)

13k+17

c)

-13+17k

d)

3 + 17k

36.

Solve the following equation:

$5x+8=43$

(a)

37.

Solve the following equation:

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

(a)

38.

Solve the following equation:

$54=\frac{7}{5}x+5$

(a)

39.

Solve the following equation:

$-12-6x=-60$

(a)

40.

Solve the equation:

$\frac{x+12}{-5}=-4$

(a)

41.

Solve the following equation:

$4y+11=23$

(a)

42.

Solve the following equation:

$10-6x=-104$

(a)

43.

Solve the following equation:

$63=7+28y$

(a)

44.

Solve the following equation:

$-3=\frac{x}{4}+7$

(a)

45.

Solve the following equation:

$\frac{x}{5}+4=-4$

(a)

46.

Solve the following equation:

$\frac{x}{-5}+6=3$

(a)

47.

Solve the following equation:

$\frac{2}{3}x+4=-26$

(a)

48.

Solve the following equation:

$\frac{4}{5}y-8=8$

(a)

49.

Solve the following equation:

$\frac{3}{5}x+8=20$

(a)

50.

Solve the following equation:

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

(a)

51.

Solve the following equation:

$-1=\frac{x+5}{6}$

(a)

52.

Solve the following equation:

$\frac{n+5}{-16}=-1$

(a)

53.

Solve the following equation:

$12x-15=45$

(a)

54.

Solve the following equation:

$40=9x-14$

(a)

55.

Solve the following equation:

$65=8x+25$

(a)

56.

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?

a)

14h = 112

b)

14 / h = 112

c)

h + 14 = 112

d)

h - 14 = 112

57.

In this soccer season, Emma has scored 1 more than twice the number of Nick's goals. If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?

a)

x - 15 = 1

b)

x + 1 = 15

c)

2x + 1 = 15

d)

x + 1 = x + 15

58.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

a)

18 miles

b)

20 miles

c)

22 miles

59.

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

60.

Scott works on cars. He charges $35 for each car plus $7 per hour.
The correct equation was 7x + 35 = 63.
So, how many hours did he work on Kylie's car if her bill was $63?

a)

x = 4

b)

x = 5

c)

x = 3

d)

x = 4.5

61.

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.
The correct equation was .50x + 20 = 35.
So, how many tickets did she buy?

a)

x = 30

b)

x = 25

c)

x = 35

d)

x = 31

62.

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?

a)

x = 3

b)

x = 2

c)

x = 4

d)

x = 5

63.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

64.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

65.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

66.

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

67.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

a)

18 miles

b)

20 miles

c)

22 miles

68.

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

69.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

a)

331=7x+6

b)

331=13x

c)

331=6x+7

d)

331-7=6x

70.

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?

a)

54

b)

45

c)

56

d)

65

71.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

72.

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

73.

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.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

74.

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

75.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

76.

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?

a)

x/2 + 16= 36

b)

36 + 16 = x

c)

x/2 - 16 = 36

d)

x/2 = 36 + 16

77.

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. Write an expression for the number of pages the printer can print in m minutes.

a)

10m + 35 = 115

b)

10m - 35 = 115

c)

115m + 35 = 10

d)

35m + 10 = 115

78.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

79.

Solve for n:

3n + 4 = 7

a)

n = 1

b)

n = -1

c)

n = 3.67

d)

n = 2

80.

Solve for x:

$2x\ -\ 8\ =\ 12$

(a)

81.

Solve $\frac{t}{5}+2\ =\ 6$

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

82.

Solve for x.

$\frac{x}{7}-8=16$

(a)

83.

Solve for x:

$\frac{x-4}{3}=2$

a)

x = 10

b)

x = 18

c)

x = 2

d)

x = -2

84.

Josh had $221 to spend on 9 shirts. After buying them he had $14 left. How much did he spend on each shirt?

a)

$19

b)

$21

c)

$18

d)

$23

85.

411 students went on a field trip. 8 buses were filled and 11 students traveled in cars. How many students were in each bus?

(a)

86.

The sum of three consecutive numbers is 126. What are the three numbers?

(a)

87.

Jonah spent half of his money on a toy. His mom gave him $10 more, and now he has $27. How much money did Jonah has at the beginning?

(a)

88.

Jessie just bought 3 dresses. Couple days later, half of her dresses were destroyed in a fire. Jessie managed to save only 12 of her dresses. How many dresses did Jessie have at the beginning?

(a)

89.

WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

331=7x+6

b)

331=13x

c)

331=6x+7

d)

331-7=6x

90.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

91.

WRITE AN EQUATION
The sum of three consecutive numbers is 72. What are the smallest of these numbers?

a)

3x=72

b)

x+x+1+x+2=72

c)

3+x=72

92.

WRITE AN EQUATION
The sum of three consecutive even numbers is 48. What are the smallest of these numbers?

a)

3x=48

b)

x+x+1+x+2=48

c)

x+x+2+x+4=48

d)

48/x=48

93.

WRITE AN EQUATION
You bought a magazine for $5 and four
erasers. You spent a total of $25. How
much did each eraser cost?

a)

5+x=25

b)

5+4x=25

c)

5x=25

d)

23-5=4x

94.

WRITE AN EQUATION
Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start?

a)

7+2x=22

b)

7+x=22

c)

7+2x=44

d)

22-6=2x

95.

WRITE AN EQUATION
Sumalee won 40 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?

a)

40=2x+8

b)

40=10x

c)

40-8=x

d)

40-8=2x

96.

WRITE AN EQUATION
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

a)

0.5x+4=12

b)

x+4=12

c)

12-4=x

d)

12-4=0.5x

97.

WRITE AN EQUATION
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

a)

(x-10)/4=2

b)

x-10/4=2

c)

x-10=2(4)

d)

2(x-10)=4

98.

WRITE AN EQUATION
How old am I if 400 reduced by 2 times my age is 244?

a)

400-2x=244

b)

400+2x=244

c)

400-244=2x

d)

244-2x=400

99.

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

a)

0.5x+16=36

b)

36+16=x

c)

x+16=36

d)

0.5=36+16

100.

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. 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

101.

WRITE AN EQUATION
On Tuesday Shanice bought five hats. On Wednesday half of all the hats that she had were destroyed. On Thursday there were only 17 left. How many did she have on Monday?

a)

x+5/2=17

b)

5+0.5+x=17

c)

(x+5)/2=17

102.

WRITE AN EQUATION
The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut
into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?

a)

(4+x)/5=60

b)

4+x/5=60

c)

4+x=60(5)

d)

x=60(5)-4

103.

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

104.

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.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

105.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

106.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

107.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

a)

331=7x+6

b)

331=13x

c)

331=6x+7

d)

331-7=6x

108.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

109.

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

110.

In this soccer season, Emma has scored 1 more than twice the number of Nick's goals. If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?

a)

x - 15 = 1

b)

x + 1 = 15

c)

2x + 1 = 15

d)

x + 1 = x + 15

111.

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?

a)

14h = 112

b)

14 / h = 112

c)

h + 14 = 112

d)

h - 14 = 112

112.

Samantha has 2 bags of candy, with the same amount in each bag. Holly has 12 pieces of candy. Combined, they have 52 pieces of candy. How much candy is in each bag?

a)

2c + 52 = 12

b)

2c - 12 = 52

c)

2c + 12 = 52

d)

12c + 2 = 52

113.

Mike took himself and 2 friends to dinner, and they all had the same food . He left a tip of $8.50. The total cost was $53.50 pages. Write an expression for the cost of one persons meal..

a)

2m + 8.50 = 53.50

b)

3m - 8.50 = 53.50

c)

2m + 8.50 = 53.50

d)

3m + 8.50 = 53.50

Equations

Total questions: 113

Worksheet time: 6hrs 39mins

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