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Worksheets

RLM One and Two Step Equations

Total questions: 134

Worksheet time: 7hrs 38mins

Name
Class
Date
1.

Solve the following equation

2y = 18

a)

y = 36

b)

y = 16

c)

y = 9

d)

y = 20

2.
x/5 = 20
a)
x = 4
b)
x =100
c)
x =3
d)
x =25
3.
5 = f - 2
a)
4
b)
7
c)
-3
d)
2
4.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

5.

t8= 5\frac{t}{-8}=\ -5  

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

6.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
7.
6 x = -30
x=
a)
2
b)
7
c)
-5
d)
5
8.

3 = c11\frac{c}{-11}  

a)

33

b)

14

c)

-33

d)

-14

9.

Solve the equation:
8x=32-8x=-32  

a)

4

b)

40

c)

6

d)

5

10.

Solve for x.


x - 8 = -5

a)

x = 13

b)

x = -13

c)

x = 3

d)

x = -3

11.
What is the solution of the equation? 
8 = x + 1
a)
9
b)
7
c)
6
d)
8
12.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = 4
d)
x = 84
13.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
14.
Solve the equation:
2w=58
a)
w = 29
b)
w = 32
c)
w = 15
d)
w = 116
15.
Solve the equation:
x/3 = 4
a)
x = 12
b)
x = 1
c)
x = 16
d)
x = 3
16.
Solve the equation:
5x = 25
a)
x = 20
b)
x = 125
c)
x = 4
d)
x = 5
17.

w - 3.4 = 5.5

a)

2.1

b)

8.1

c)

8.9

d)

2,9

18.

41 = 3 + x

a)

44

b)

42

c)

38

d)

71

19.

71 = s + 38

a)

109

b)

47

c)

34

d)

33

20.

m - 432 = 274

a)

158

b)

604

c)

706

d)

86

21.

v - 35 = 44

a)

9

b)

11

c)

79

d)

21

22.

7x = 42

a)

294

b)

6

c)

7

d)

284

23.

7x = 42

a)

294

b)

6

c)

7

d)

284

24.

9n = 45

a)

6

b)

5

c)

-5

d)

7

25.

x/3 = 9

a)

3

b)

36

c)

4

d)

27

26.

n/12 = 4

a)

3

b)

10

c)

48

d)

36

27.

1/5 n = 40

a)

200

b)

8

c)

10

d)

120

28.

Match the following

a)

Coefficient

1.

a number in front of a variable

b)

Variable

2.

a letter or symbol used to represent an unknown

c)

Constant

3.

a number by itself

d)

Operation

4.

add, subtract, multiply, and divide

e)

Equation

5.

two equivalent expressions

29.

Match the following

a)

x=2

1.

3x=6

b)

x=5

2.

x+5=10

c)

x=12

3.

x/3=4

d)

x=4

4.

x-1=3

e)

x=9

5.

2x=18

30.

All equations have . . .

a)

an addition sign

b)

three variables

c)

a cute puppy

d)

an equal sign

31.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
32.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
33.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
34.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
35.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
36.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
37.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
38.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
39.
Solve the equation:
0 = 4h
a)
h = 4
b)
g = 1
c)
g = -4
d)
g = 0
40.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
41.
5 less than a number is 15.
a)
x - 5 = 15
b)
5 - x = 15
c)
15 - x = 5
42.
Twice a number is 24.
a)
2n = 24
b)
2/n = 24
c)
2 + n = 24
d)
2 - n = 24
43.
What does "difference" mean?
a)
add
b)
subtract 
c)
multiply
d)
divide
44.
Solve the following equation
X + 8 = 15
a)
23
b)
-7
c)
7
d)
-23
45.
Solve the following equation 
8 = m - 12
a)
4
b)
0.5
c)
5.0
d)
20
46.
3 = c -1
a)
3
b)
4
c)
-3
d)
2
47.
Solve the following equation
2y = 18
a)
36
b)
16
c)
9
d)
20
48.
Solve the following equation
18 = 3b
a)
15
b)
6
c)
21
d)
54
49.
Solve the following equation
14m = 28
a)
2
b)
14
c)
32
d)
1/2
50.
Solve the following equation
c / 4 = 4
a)
1/4
b)
8
c)
1
d)
16
51.
Three students disagree about the best and fastest method to solve the equation shown in one step. Which one is correct?
a)
Rashad, who wants to multiply by 3
b)
Ruby, who wants to multiply by 5/3
c)
None of the students are correct. They need to study their notes.
d)
Jess, who wants to divide by 3/5
52.
What would be the best first step to solving the equation?
f+6=-6
a)
multiply both sides by 6
b)
divide both sides by 6
c)
add 6 to both sides
d)
subtract 6  from both sides
53.
What would be the best first step to solving the equation?
a)
subtract   1/10  from both sides
b)
subtract   -3/5  from both sides
c)
add 1/10  to both sides
d)
add 3/5 to both sides
54.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3
b)
multiply both sides by -3
c)
divide both sides by 18
d)
divide both sides by 3
55.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 11
b)
multiply both sides by 1/2
c)
divide both sides by 2
d)
multiply both sides by 2
56.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3
b)
multiply both sides by -3
c)
divide both sides by -3
d)
add 3 to each side
57.
What would be the best first step to solving the equation?
-4.4=-4y
a)
multiply both sides by -4
b)
divide both sides by -4
c)
add 4 to both sides
d)
subtract 4 from both sides
58.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3/2 
b)
divide both sides by 3
c)
multiply both sides by 3
d)
subtract 2/3  from both sides
59.
What would be the best first step to solving the equation?
a)
multiply both sides by 10
b)
divide both sides by 10
c)
multiply both sides by 5
d)
divide both sides by 5
60.
What would be the best first step to solving the equation?
-18=m+12
a)
add 18 to both sides
b)
subtract 18 from both sides
c)
add 12 to both sides
d)
subtract 12 from both sides
61.
What would be the best first step to solving the equation?
-6x=-24
a)
multiply both sides by -6
b)
divide both sides by -6
c)
add 6  to both sides
d)
subtract -6  from both sides
62.
What would be the best first step to solving the equation?
-3=x+5
a)
add 3 to both sides
b)
subtract 5 from both sides
c)
add 5 to both sides
d)
subtract -5 from both sides
63.
What would be the best first step to solving the equation?
a)
multiply both sides by 3
b)
multiply both sides by 4
c)
divide both sides by 3
d)
divide both sides by 4
64.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
65.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
66.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
67.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

68.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
69.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
70.

m - 5 = -10

a)

-15

b)

15

c)

-5

d)

5

71.
a)
50
b)
-12.5
c)
-50
d)
12.5
72.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

73.

Which choice models this situation?


Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

74.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
75.

3x7=173x-7=17

a)

8

b)

-8

c)

103\frac{10}{3}

d)

21

76.

3x5=10-3x-5=10

a)

53\frac{5}{3}

b)

5

c)

-5

d)

53-\frac{5}{3}

77.

x+8=27x+8=27

a)

None of these answers.

b)

-8

c)

35

d)

19

78.

When solving equations, when you have multiplication, you​ (a)   , and when you have addition, you ​ (b)   ​.

Choose from the below words
divide
subtract
multiply
add
79.

23x7=11\frac{2}{3}x-7=11

a)

12

b)

27

c)

-12

d)

6

80.

4+x=26-4+x=26

a)

-22

b)

22

c)

30

d)

-32

81.

8-3x=8

a)

0

b)

163-\frac{16}{3}

c)

-3

d)

None of these answers

82.

10+3x=8-10+3x=8

a)

23\frac{2}{3}

b)

-6

c)

23-\frac{2}{3}

d)

6

83.

34x=6\frac{3}{4}x=6

a)

92\frac{9}{2}

b)

8

c)

72

d)

-8

84.

52x=125-2x=12

a)

72\frac{7}{2}

b)

72-\frac{7}{2}

c)

172-\frac{17}{2}

d)

172\frac{17}{2}

85.

Level 2

Solve for a

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

86.

Level 3

Solve for a

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

87.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

88.

Level 3

Solve for x

a)

x = 2

b)

x = -2

c)

x = -10

d)

x = 4

89.

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

90.

Level 3

Solve for w

a)

w = 2

b)

w = 4

c)

w = 6

d)

w = 8

91.

Level 4

What is the first step to solve this equation?

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

92.

7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

93.

13= 5m -2

a)

-3

b)

2

c)

3

d)

-2

94.

13 = 11 - 4x

a)

-2

b)

1/2

c)

-1/2

d)

2

95.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
96.
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.
97.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
98.
Solve.  -3x - 12 = 15
a)
9
b)
-1
c)
27
d)
-9
99.
9 = 2s + 1 
a)
4
b)
-4
c)
3.5
d)
5
100.
3n + 4 = 7 
a)
1
b)
-1
c)
3.67
d)
2
101.
-5 = 3m - 14
a)
3
b)
-3
c)
12
d)
-6.3
102.
0 = 8z + 8 
a)
-1
b)
1
c)
0
d)
8
103.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
104.
In the equation 4y +-9 =-36
y = -4
a)
True
b)
 francine
c)
False
105.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
106.
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.
107.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
108.
In the equation 4y - 9 = -36
y = -4
a)
True
b)
 False
109.
5x + 4 = −6
a)
2
b)
-2
c)
10
d)
15
110.
-4x + 1 = 21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
111.
 x - 4 = 12
a)
x = 8
b)
x = 16
c)
x = -8
d)
x = 3
112.
2x + 6 = 14
a)
x = 4
b)
x = 10
c)
x = -4
d)
x = 3
113.
-3x + 5 = -13
a)
x = -5
b)
x = 2
c)
x = -6
d)
x = 6
114.
x / 2  - 5 = 3
a)
x = -2
b)
x = 2
c)
x = 16
d)
x = 8
115.
6p - 5 =13
a)
12
b)
15
c)
3
d)
-3
116.
Solve for x:
-30 - 5x = 120
a)
x = 18
b)
x = -18
c)
x = 30
d)
x = -30
117.
15 = 2a + 7
a)
2
b)
4
c)
12
d)
14
118.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
119.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
120.
4x + 22 = -34
a)
-14
b)
-22
c)
16
d)
-20
121.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
122.
WRITE AN EQUATION
You bought a $5 magazine 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
123.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
124.
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
125.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
126.
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.
127.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
128.
7 + a= 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
129.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
130.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
131.
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
132.
Solve the equation for x:
2x + 3x + 4 = 44
a)
x = 8
b)
x = 9
c)
x = 10
d)
x = 11
133.
Solve the equation for x:
8x - 6x + 4 + 5 = 19
a)
x = 4
b)
x = 5
c)
x = 6
d)
x = 7
134.
x/4- 3 = 9
a)
48
b)
24
c)
3
d)
36