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Solving 2-step Equations

Total questions: 10

Worksheet time: 16mins

Name
Class
Date
1.

Convert to an equation: "Five times a number minus seven is equal to the opposite of eleven

a)

5 − 7x = − 11

b)

5x − 7 = − 11

c)

− 11x − 5 = 7

d)

5 ⋅ 7 = − 11

2.

Solve for x: 6x + 5 = −37

a)

−2.833...

b)

−7.833...

c)

−7

d)

−5.33...

3.

To solve: 8.5d + 55 = 123 ...

a)

... subtract 55 from both sides and divide by 8.5

b)

... add 55 to both sides and divide by 8,5

c)

... subtract 55 from both sides and multiply by 8.5

d)

... add 8.5 to 55, then subtract from 123

4.

Solve for d: 8.5d + 55 = 123

a)

−59.5

b)

578

c)

12

d)

8

5.

Arco ampm sells refillable soda cups for $4.95. Each refill costs $0.75. Last month, Keith spent $21.45 on a cup and refills. How many refills did he buy?

a)

15

b)

22

c)

18

d)

21

6.

Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child. If she was paid $45, how many children did she babysit?

a)

5

b)

6

c)

7

d)

8

e)

9

7.

Solve for n:

a)

−18

b)

66

c)

5

d)

17

e)

31

8.

Solve for x:

a)

−10.3

b)

−23.5

c)

0.06

d)

−1.5

e)

−14.7

9.

Sal rented a moving van for a day. The cost was $29.95 plus $0.80 per mile. The total cost for the day was $75.55. Choose the equation to find out how many miles Sal drove the moving van.

a)

29.95n + 0.8n = 75.55

b)

29.95 + 0.8n = 75.55

c)

75.55n − 0.8n = 29.95

d)

29.95 − 0.8n = 75.55

10.

Sal rented a moving van for a day. The cost was $29.95 plus $0.80 per mile. The total cost for the day was $75.55. How many miles did Sal drive?

a)

57 miles

b)

44.8 miles

c)

1.7225 miles

d)

64.4875 miles

e)

45 miles