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Solving Two-Step Equations Test

Total questions: 50

Worksheet time: 13hrs 30mins

Name
Class
Date
1.
a)
x = 42
b)
x = 1
c)
x = 17
d)
x = 18
2.
Write the algebraic equation:
Twelve is sixteen less than four times a number.
a)
12 = 16 - 4x
b)
12 = 4x - 16
c)
12 = 4x + 16
d)
16 = 4x - 12
3.
2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday.  She made a total of $96 last week.  Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
4.

Eight more than four times a number is 28.

a)

4x + 8 = 28

b)

4(x + 8) = 28

c)

8x - 4 = 28

d)

4x - 8 = 28

e)

8x + 4 = 28

5.
a)
60
b)
70
c)
80
d)
90
6.
a)
24
b)
4
c)
6
d)
-6
7.
a)
24
b)
12
c)
-12
d)
-24
8.
a)
3
b)
15
c)
5
d)
-3
9.
a)
20
b)
25
c)
30
d)
35
10.
a)
4
b)
6
c)
8
d)
30
11.
a)
6
b)
7
c)
8
d)
9
12.
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
13.

William gave 4 football cards to each of his 6 friends. Suppose he had 54 cards left. Write and solve an equation to find how many cards each friend initially had.

a)

44 cards

b)

9 cards

c)

5 cards

d)

13 cards

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.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
16.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
17.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
18.
26 = 5a + 1
a)
a= 5 4∕5
b)
a= no solution
c)
a= 0
d)
a= 5
19.
3 + (1∕4)a = 31
a)
a= 28
b)
a= 112
c)
a= 7
d)
a= 67
20.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
21.
7 + a⁄3 = 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
22.
-5 - 6a = -59
a)
a= 11
b)
a= -6
c)
a= 9
d)
a= 2
23.
(a + 3)⁄7 = 3
a)
a= 18
b)
a= 21
c)
a= 4
d)
a= 11
24.
50 = 28.1 + 0.15a
a)
a= 150
b)
a= 146
c)
a= 6
d)
a= 155
25.
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
26.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
27.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
28.
Solve    8 - 2x = 30
a)
-11
b)
11
c)
-12
d)
12
29.
Solve  12 - 6y = 24
a)
-1
b)
-2
c)
-3
d)
-4
30.

What is the first step to complete when solving this equation?

10 - 3x = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

31.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

d)

x - 15 = 10

32.

What is the first step to solve this equation:

-3x + 11 = 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.

33.
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
34.
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.
35.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
36.
7 + a⁄3 = 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
37.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
38.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
39.
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
40.
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
41.
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
42.
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
43.
Solve -3 + 2x = -1 
a)
x = 3
b)
x = 2
c)
x = 1
d)
x = -2
44.
a)
t = 20
b)
t = -20
c)
t = -40
d)
t = 40
45.
Solve  9 - 5t  = 24
a)
t = -3
b)
t = 3
c)
t = -6.6
d)
t = 12
46.

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160lb and each box of books weighs 50lb. The maximum capacity of the elevator is 1000lb. How many boxes of books can the delivery person bring up at one time? Round to the nearest whole number.

(a)  

47.

You have $16 and a coupon for a $5 discount at a local supermarket. A bottle of olive oil costs $7. How many bottles of olive oil can you buy?

(a)  

48.

Members of a car-sharing program pay a fee of $50 per month plus $7.65 for every hour they use a car. A members bill was $149.45 last month. How many hours did the customer use a car last month?

(a)  

49.

The goal of solving a one, two, or multi-step equation is to:

a)

Find the constant

b)

Find the value of the variable

c)

Find the coefficient

d)

Guess and check

50.

What is the next step to solve this equation?

-4x + 6 = 10

a)

Subtract 6 from both sides of the equation

b)

Add 10 to both sides of the equation

c)

Add 4x to both sides of the equation

d)

Add 6 to both sides of the equation

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