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Worksheets

One Step Equations

Total questions: 108

Worksheet time: 4hrs 40mins

Name
Class
Date
1.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
2.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
3.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
4.
15 = 2a + 7
a)
2
b)
4
c)
12
d)
14
5.
What is a one-step equation?
a)
A problem where multiple operations are present.
b)
A problem where the variable is missing.
c)
An equation where only one step (operation) is needed to solve it.
d)
An equation where two steps (two operations) are needed to solve it.
6.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
7.
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.
8.
What is the first step in solving the equation?
a)
Add 4 to each side
b)
Subtract 4 from each side
c)
Subtract 2y from each side
d)
Divide each side by 2y
9.
In the equation 4p = 20 the variable, p, is being multiplied by 4. How should you show your work to isolate the variable and solve the equation?
a)
Multiply both sides by 4.
The solution is x = 80.
b)
Subtract 4 from both sides. 
The solution is p = 16.
c)
Add 4 to both sides. The solution is p = 24.
d)
Divide both sides by 4. The solution is p = 5.
10.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
11.

6n


What inverse operation would you do to isolate the variable above?

a)

Multiply by -6

b)

Divide by 6

c)

Multiply by 6

d)

Divide by -6

12.

-5 + m


What inverse operation would you

do to isolate the variable above?

a)

Add -5

b)

Add 5

c)

Subtract 5

d)

Divide by -5

13.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
14.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
15.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
16.

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

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Guess and check

17.

What is the next step to solve this equation?
n - 4 = -2

a)

Add 4 to both sides of the equation

b)

Add n to both sides of the equation

c)

Subtract n from both sides of the equation

d)

Subtract 4 from both sides of the equation

18.

What is the next step to solve this equation?
n - 4 = -2

a)

Add 4 to both sides of the equation

b)

Add n to both sides of the equation

c)

Subtract n from both sides of the equation

d)

Subtract 4 from both sides of the equation

19.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
20.
What is a 1-step problem?
a)
A problem where multiple operations are present.
b)
A problem where the variable is missing.
c)
An equation where only one step is needed to solve it.
d)
An equation where two steps are needed to solve it.
21.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
22.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
23.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
24.
7.    -4y = 48
a)
x = -52
b)
x = -12
c)
x = -44
d)
x = -13
25.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
26.
how would you solve this equation: 9x=153? 
a)
multiply
b)
divide
c)
add
d)
subtract
27.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
28.
x + 2 = 10
a)
12
b)
10
c)
2
d)
8
29.
x - 8 = 5
a)
13
b)
-3
c)
-8
d)
-13
30.
-2 + x = 15
a)
15
b)
17
c)
-2
d)
13
31.
14 = x - 5
a)
-19
b)
5
c)
19
d)
9
32.
What is the inverse of adding?
a)
Dividing
b)
Multiplying
c)
Adding
d)
Subtracting
33.
y+25=80
What steps do you need to solve this problem?
a)
Add 25 to both sides
b)
Subtract 25 to both sides
c)
Divide 25 on both sides
d)
Multiple 25 on both sides
34.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
35.
Which procedure could be used to find the value for x that makes the statement true?
x - 12 = 34
a)
Subtract 12 from both sides of the equation
b)
Add 12 to both sides of the equation
c)
Multiply both sides of the equation by 12
d)
Divide both sides of the equation by 12
36.
Which value of s makes the statement true?
s + 44 = 71
a)
27
b)
36
c)
112
d)
115
37.
In the equation 6z - 9 = 34 which is the coefficient?
a)
9
b)
z
c)
6
d)
34
38.
What is the variable in this equation?
2s + 7 = 14
a)
2
b)
7
c)
s
d)
+
39.
How many terms are listed below?
7xy + 8y - 4
a)
6
b)
5
c)
3
d)
2
40.
Which one below is an expression?
a)
12 > 9 + x
b)
z - 45 = 98
c)
16 = 3x + 75
d)
3x - 8y + 2
41.

x + 3.5 = 6.7

a)

2.3

b)

3.2

c)

10.2

d)

6

42.

x - 3.7 = 4.1

a)

10

b)

.81

c)

7.8

d)

8.1

43.

What is the solution of 6d = 24

a)

d = 4

b)

d = 5

c)

d = 18

d)

d = 144

44.
Which equation has x=9 as a solution
a)
4 + x = 12
b)
5x = 45
c)
2x = 20
d)
x + 7 = 26
45.

x + 12 = -20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

46.

u/4=12

a)

u = 3

b)

u = 8

c)

u = 16

d)

u = 48

47.

Solve:

-4x = 24

a)

x = 6

b)

x = -6

c)

x = 20

d)

x = 28

48.

Translate the sentence into an equation:

The product of a number and two-thirds is 24.

a)

2/3 + x = 24

b)

2/3 x = 24

c)

3/2 x = 24

d)

x + 2/3 = 24

49.
Translate the statement into an equation:
6 less than twice a number is 4
a)
2n - 6 = 4
b)
6 - 2n = 4
50.

Two more than 4 times a number is -18.

a)

4x + 2 = -18

b)

2x + 4 = -18

c)

18 = 4x + 2

51.

Solve:

3x + 7 = -8

a)

x = -5

b)

x = 5

c)

x = -12

d)

x = -18

52.
x + 2 = 10
a)
12
b)
10
c)
2
d)
8
53.
x - 8 = 5
a)
13
b)
-3
c)
-8
d)
-13
54.
-2 + x = 15
a)
15
b)
17
c)
-2
d)
13
55.
x - 12 = 24
a)
-12
b)
36
c)
12
d)
0
56.
14 = x - 5
a)
-19
b)
5
c)
19
d)
9
57.
x+8=10
a)
x=2
b)
x=5
c)
x=0
d)
x=1
58.
What is the inverse of subtraction?
a)
Dividing
b)
Multiplying
c)
Adding
d)
Subtracting
59.
What is the inverse of adding?
a)
Dividing
b)
Multiplying
c)
Adding
d)
Subtracting
60.
j+68=100
a)
78
b)
1
c)
45
d)
32
61.
q+8=12
a)
5
b)
4
c)
2
d)
5
62.
y+25=80
What steps do you need to solve this problem?
a)
Add 25 to both sides
b)
Subtract 25 to both sides
c)
Divide 25 on both sides
d)
Multiple 25 on both sides
63.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
64.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
65.
-16+ x= -15
a)
2
b)
0
c)
-1
d)
1
66.
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.
67.
Solve for x for the following shape when the perimeter is 43 cm.  
a)
9 cm
b)
12 cm
c)
14 cm
d)
15 cm
68.
-25 = m - 12
a)
-37
b)
13
c)
-13
d)
37
69.
51 + k = -142
a)
-193
b)
-91
c)
91
d)
193
70.
"decreased by" is what operation?
a)
addition
b)
subtraction
c)
multiplication
d)
division
71.
what equation matches the situation?
Rob had some video games then he bought 4 more. Now he has a total of 10 games.
a)
v-4=10
b)
10-4=v
c)
v+4=10
d)
4v=10
72.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

73.

t−8= −5\frac{t}{-8}=\ -5  

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

74.

Solve the following equation

2y = 18

a)

y = 36

b)

y = 16

c)

y = 9

d)

y = 20

75.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

76.

t−8= −5\frac{t}{-8}=\ -5  

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

77.

Select the following basic rules used for solving one step equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the inverse operation

78.

16=k1116=\frac{k}{11}  

The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

a)

Divide both sides by 11

b)

Multiply both sides by 11

c)

Add 11 to both sides

d)

Subtract 11 to both sides

79.

Solve for x in the following equation:

20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

80.

Solve for y in the following equation:

y3 =12\frac{y}{3\ }=12  

a)

36

b)

-36

c)

4

d)

-4

81.

Solve for z in the following equation:

z - 33 = 147

a)

z = 114

b)

z = 177

c)

z = 180

d)

no solution

82.

The inverse operation of addition is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

83.

The inverse operation of subtraction is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

84.

The inverse operation of multiplication is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

85.

The inverse operation of division is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

86.

The FIRST step to solving one step equations is ????????

a)

Use the inverse on both sides to solve

b)

identify the variable

c)

find out the operation in the problem

87.

The SECOND step to solving one step equations is ????????

a)

Use the inverse on both sides to solve

b)

identify the variable

c)

find out the operation in the problem

88.

SOLVE 10=z+6

(a)  

89.

8y = 48

(a)  

90.

q - 12 = 1

(a)  

91.

18≡a218\equiv\frac{a}{2}  

(a)  

92.

Solve for h in the following equation:

0 = 4h

a)

h = 4

b)

h = 1

c)

h = -4

d)

h = 0

93.

What equation matches this situation?

Q: 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

94.
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
95.
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
96.

Use your calculator and scrap paper or whiteboard to solve the one step equations with negative numbers

a)

-4

b)

4

c)

9

d)

5

97.

If x + 2 = 12 , what is the first step to solve for x?

a)

Subtract 2 from both sides

b)

Add 2 to both sides

c)

Multiply by 2 on both side

d)

Divide by 2 on both sides

98.
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
99.

What is the first step to solve for b:

2b = -16

a)

add 2 to both sides

b)

subtract 2 to both sides

c)

multiply 2 to both sides

d)

divide 2 to both sides

100.

What is the first step to solving this equation?

a)

add -8 to both sides

b)

subtract -8 to both sides

c)

Multiply -8 to both sides

d)

divide -8 to both sides

101.
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
102.
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
103.

Use your calculator, scrap paper, or whiteboard to solve the one step equation

a)

18

b)

29

c)

11

d)

47

104.
What is your first step when you solve  x + 5 = 12
a)
Add 5 to 5 and add 5 to 5 to 12
b)
Subtract 5 from 5 and subtract 5 from 12
c)
Subtract 12 from 12 and subtract 12 from 5
d)
Add 12 to 12 and add 12 to 5
105.
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
106.
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
107.

How do you feel about solving one step equations?

a)

I feel great! I remember this topic from 6th and 7th grade.

b)

I feel good, but need some practice

c)

HELP!

108.
Solve the following equation
1 + a = 15
a)
14
b)
16
c)
12
d)
- 16