wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

2 step review

Total questions: 43

Worksheet time: 4hrs 44mins

Name
Class
Date
1.

2x + 6 = 18

a)

x = 12

b)

x = -6

c)

x = 6

d)

x = -12

2.

4x - 5 = 11

a)

x = -4

b)

x = 6

c)

x = -6

d)

x = 4

3.

-3x + 8 = -1

a)

x = 5

b)

x = 3

c)

x = -5

d)

x = -3

4.

-1x + 10 = 5

a)

x = 5

b)

x = 15

c)

x = -5

d)

x = -15

5.

14 = 6x - 4

a)

x = -3

b)

x = 10

c)

x = -10

d)

x = 3

6.

3x - 9 = 9

a)

x = 0

b)

x = 6

c)

x = 18

d)

x = 3

7.

-8x + 3 = 27

a)

x = -4

b)

x = 3

c)

x = -3

d)

x = 4

8.

-10 = 4x + 6

a)

x = -4

b)

x = 1

c)

x = 4

d)

x = -1

9.

3x - 7 = -16

a)

x =7

b)

x = -3

c)

x = 3

d)

x = -7

10.

12 = 5x + 17

a)

x = -1

b)

x = 1

c)

x = 5

d)

x = -5

11.

Solve:

7+a3=57+\frac{a}{3}=5  

a)

a=2a=-2  

b)

a=6a=-6  

c)

a=3a=3  

d)

a=15a=15  

12.

Solve:

6w+1=11-6w+1=-11  

a)

w=2w=2  

b)

w=1.2w=1.2  

c)

w=12w=12  

d)

w=2w=-2  

13.

Solve:

20=2a20=2-a  

a)

a=18a=18  

b)

a=18a=-18  

c)

a=10a=-10  

d)

a=12a=12  

14.
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
15.
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.
16.
Solve for x:
-30 - 5x = 120
a)
x = 18
b)
x = -18
c)
x = 30
d)
x = -30
17.

There were 331 students that went on a field trip. Six buses were filled and 7 students traveled in a van. How many students were on each bus?

a)

6 + 7x = 331

b)

331 - 6x = 7

c)

6x + 7 = 331

d)

6x + 7y =331

18.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

19.

Tom bought a soft drink for $4.00 and 7 candy bars. He spent a total of $18.00. How much did each candy bar cost?

a)

4x + 7 = 18

b)

7x + 4 = 18

c)

18x + 4 = 7

d)

4x + 18 = 7

20.

Jen wants to buy a new car for $18,500. She pays $2,500 at signing and wants to pay $250 per month. How many months until it is paid off?

a)

18,500 + 2,500 = 250x

b)

2,500 - 250x = 18,500

c)

250x + 2,500 = 18,500

d)

2,500 (250)x = 18,500

21.

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

a)

12.5x +9 = 43.73

b)

73.43 = 12.5x + 9

c)

12.5 - 9x = 43.73

d)

43.73 = 12.5 + 9x

22.

Steven was getting rid of some baseball cards. He had 68 cards and gave 2 to each of his friends. He was left with 16. How many friends did he give cards to?

a)

2x + 16 = 68

b)

68 + 2x = 16

c)

16x + 2 = 68

d)

68 + 16x = 68

23.

Lance is buying new things for his room. He wants some posters and a new rug. He spent $44.50 total. If the rug costs $27 and the posters cost $2.50 each, how many did he buy?

a)

44.5 = 2.5x - 27

b)

44.5 - 2.5 = 27x

c)

27x + 2.5 = 44.5

d)

2.5x + 27 = 44.5

24.

Maria rents a bike and pays $40. There was a deposit of $22 and then $6 per hour. How many hours did she rent the bike?

a)

40 + 22 = 6x

b)

6x + 22 = 40

c)

6 + 22x = 40

d)

40 - 22x = 6

25.
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?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
26.

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?

a)

12 + 14x = 50

b)

12x + 14 = 50

c)

50 - 14 - 12 = x

d)

50x + 12 = 14

27.

Ben and Jerry together own 24 comic books. If Ben owns 6 comic books, how many does Jerry own?

a)

6x = 24

b)

6 + 6x = 24

c)

24 + x = 6

d)

6 + x = 24

28.

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?

a)

35 + 10x = 115

b)

35x + 10 = 155

c)

155 = 10 + 35

d)

155 + 10x = 35

29.

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)

150x + 50 = 375

b)

375 = 50x + 150

c)

150 = 50x + 375

d)

50 + 150 = 375

30.
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
31.
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.
a)
11x + 6 = 39
b)
11x - 6 = 39
c)
11 + 6x = 39
d)
66x = 39
32.
Solve: 
–3(7p + 5) = 27
a)
p = -2
b)
p = -12/21
c)
p = 21
d)
p = 2
33.
Solve: 
–15b + 21 + 5b = –19
a)
b = 1/2
b)
b = -4
c)
b = 2
d)
b = 4
34.
Keith bought a soft drink for 2 dollars and 6 candy bars. He spent a total of 14 dollars. How much did each candy bar cost? 
a)
$12
b)
$6
c)
$2
d)
$3
35.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Tara's cell phone bill is $75, how many minutes did she talk on the phone?

a)

30 minutes

b)

60 minutes

c)

250 minutes

d)

300 minutes

36.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
37.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
38.
Solve   2x -7 = -23
a)
-8
b)
8
c)
-7
39.
Solve  9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
40.
Solve for d:
a)
d = 24
b)
d = -48
c)
d = -3
41.
Solve by clearing the fractions first:
a)
x = -4
b)
x = 4
c)
x = 3
d)
x = -12
42.

Did Sarah make an error? If so, which is the best description of her error?

a)

She didn't distribute correctly. The second step should read 3x - 12 = 24

b)

She didn't distribute correctly. The second step should read -3x - 12 = 24

c)

She didn't distribute correctly. The second step should read -3x + 12 = 24

d)

She didn't make an error.

43.
Where/what is the mistake?
a)
Line 2 - You should add 12 to both sides.
b)
Line 4 - You should multiply both sides by the reciprocal.
c)
Line 4 - You should multiply both sides by the original fraction. 
d)
Line 5 - There was a calculation error.