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Worksheets

2 step equations

Total questions: 110

Worksheet time: 3hrs 18mins

Name
Class
Date
1.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
2.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
3.
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.
4.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
5.
15 = 2a + 7
a)
2
b)
4
c)
12
d)
14
6.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
7.

33 = 4a - 7

a)

a=-10

b)

a= -4.5

c)

a=4.5

d)
8.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
9.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
10.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
11.
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.
12.

The goal of solving two-step equations is to:

a)

Guess an approximately correct answer

b)

Find the coefficient

c)

Find the value of the variable

d)

Maradona is dead I don't care....

13.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
14.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
15.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
16.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
17.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
18.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
19.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
20.
Solve  9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
21.
3x - 5 = -26
a)
x=-21
b)
x=21
c)
x=-7
d)
x=61
22.

2x + 6 = 18

a)

x = 12

b)

x = -6

c)

x = 6

d)

x = -12

23.

4x - 5 = 11

a)

x = -4

b)

x = 6

c)

x = -6

d)

x = 4

24.

-1x + 10 = 5

a)

x = 5

b)

x = 15

c)

x = -5

d)

x = -15

25.

3x - 9 = 9

a)

x = 0

b)

x = 6

c)

x = 18

d)

x = 3

26.

3x - 7 = -16

a)

x =7

b)

x = -3

c)

x = 3

d)

x = -7

27.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
28.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
29.
15 = 2a + 7
a)
2
b)
4
c)
12
d)
14
30.
5w + 12 = 47
a)
w = 12
b)
w = 7
c)
w = 8
d)
w = 11
31.
Solve if 3x + 5 = 4
a)
1/3
b)
2/3
c)
-1/3
d)
-2/3
32.
4p + 5 = 17
a)
p = 4
b)
p = 5
c)
p = 3
d)
p = 2
33.
8r - 14 = 42
a)
r = 7
b)
r = 4
c)
r = 8
d)
r = 5
34.
22 = 3e + 7
a)
e = 3
b)
e = 5
c)
e = 7
d)
e = 9
35.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
36.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
37.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
38.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

e)

Who cares? Diego's died....

39.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
40.

Maradona was thinking of a number (x) before he died. Nine more than the product of 4 and the number (x) is 73. What is the equation?

a)

4 + 9x = 73

b)

4x = 73

c)

4x + 9 = 73

d)

9x + 4 = 73

e)

I am grieving I cannot figure it out

41.

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

e)

I do not think even Maradona knew how to do this

42.
Solve      7y - 4 = -11
a)
1
b)
2
c)
-1
d)
-2
43.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
44.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
45.
Solve    8 - 2x = 30
a)
-11
b)
11
c)
-12
d)
12
46.

Solve 2x -7 = -23

a)

-8

b)

8

c)

-7

d)

-14

47.
Solve -2w + 10 = 56
a)
23
b)
-23
c)
33
d)
-33
48.
Solve  7 - x = -5 
a)
x = 2
b)
x = -2
c)
x = 12
d)
x = -12
49.
Is 5 a solution for 3x + 4 = 19
a)
yes
b)
no
50.
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.
51.

Which of the following are like terms to 3x? Select ALL that apply.

a)

8x2

b)

3

c)

-4x

d)

2x

e)

12

52.

-14f2 and 2f2 are like terms

a)

True

b)

False

53.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

e)

Remember the "hand of God"

54.
Solve    -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
55.
Solve    2x -7 = -23
a)
-8
b)
8
c)
-7
56.
Solve    12 - 6y = 24
a)
-1
b)
-2
c)
-3
d)
-4
57.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
58.

8x+12=100

a)

17

b)

100

c)

34

d)

11

59.
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.
60.
Solve -3 + 2x = -1 
a)
x = 3
b)
x = 2
c)
x = 1
d)
x = -2
61.
Solve   2y - 4 = -10
a)
y = -7
b)
y = 3
c)
y = -3
d)
y = 7
62.
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
63.

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.

e)

The last defender that Maradona ghosted past with a step over before scoring

64.

What is a 2-step problem?

a)

An equation where 2 steps are needed to solve it.

b)

An equation where only one step is needed to solve it.

c)

A problem with only one operation present.

d)

A problem where you find the square-root of a number.

e)

The last 2 defenders that Maradona ghosted past with 2 step overs before scoring

65.
Solve    2x -7 = -23
a)
-8
b)
8
c)
-7
66.
Solve      7y - 4 = -11
a)
1
b)
2
c)
-1
d)
-2
67.
Solve   7 - 3y = 22
a)
-5
b)
5
c)
15
d)
-15
68.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
69.
19h - 7 = 23 + 14h
a)
h= -6
b)
h = 6
c)
all real numbers
d)
no solution
70.
4x - 9x + 3 = -32
a)
-35/13
b)
7
c)
-7
d)
-29/5
71.
What is the solution of the equation? 
5x + 20 = -5x
a)
1
b)
-1 
c)
-2
d)
2
72.
2c - 12 = 9c + 2
a)
14
b)
2
c)
-2
73.

x + x + 6 = 26

a)

x = 8

b)

x = 22

c)

x = 16

d)

x = 32

e)
74.
-3x + 1 = 7
a)
x = -2
b)
x = -2 2∕3
c)
x = 2
d)
x = 2 2∕3
75.
x + 2x + 5 + x = 25
a)
x = 3
b)
x = 4
c)
x = 5
d)
x = 6
76.
x + x - 40 = 20
a)
x = 60
b)
x = 30
c)
x = 20
d)
x = -10
77.
-5x - 2 = 48
a)
x = 9
b)
x = 10
c)
x = -10
d)
x = -250
78.
6 - 2a = 4
a)
a = 1
b)
a = -1
c)
a = 5
d)
a = -5
79.
-4b + 4 = -20
a)
b = 4
b)
b = -4
c)
b = 6
d)
b = -6
80.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
81.

Solve - 2x = 22

a)

-11

b)

11

c)

-12

d)

12

82.
Solve   7y - 4 = -11
a)
1
b)
2
c)
-1
d)
-2
83.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
84.

x - 62 = 123

How should you 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.

85.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
86.
Solve     12 - 6y = 24
a)
2
b)
-2
c)
3
d)
-3
87.
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
88.
What is the first step to solve
–5x – 8.4 = 17?
a)
divide by –5 on both sides
b)
subtract 8.4 from both sides
c)
subtract 17 from both sides
d)
add 8.4 to both sides
89.
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.
90.
-x - 6 = 4
a)
x = 2
b)
x = -2
c)
x = -10
d)
x = 4
91.
m / 2 = 10
a)
m = 5
b)
m = -20
c)
m = 20
d)
m = -5
92.

When solving a 2-step equation you should get rid of the number ______ the variable first.

a)

with

b)

without

c)

next to

d)

backwards

93.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
94.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
95.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
96.

A number that is multiplied by a variable.

a)

Constant

b)

Coefficient

c)

Term

d)

Operator

97.

*A number on its own.

a)

Constant

b)

Coefficient

c)

Term

d)

Degree

98.

*A symbol for an unknown value. Usually a letter.

a)

Term

b)

Coefficient

c)

Constant

d)

Variable

99.

*A mathematical sentence stating that two expressions are equal. Look for the equal sign.

a)

Expression

b)

Term

c)

Equation

d)

Bi-lateral Summation

100.

What is the rule for adding integers with the SAME sign?

a)

Add and keep the sign

b)

Subtract and keep the sign

c)

Subtract and keep the sign of the higher number

d)

Add and keep sign of higher number.

101.

What is the rule for adding integers with DIFFERENT SIGNS?

a)

Subtract and keep the sign.

b)

Subtract and keep the sign of the higher number.

c)

Add and keep the sign

d)

Add and keep the sign of the higher number.

102.

A negative times a negative = ___________________

a)

zero

b)

one

c)

negative

d)

positive

103.

A negative times a positive = ____________________

a)

zero

b)

negative

c)

positive

d)

one

104.

A negative divided by a negative = _________________

a)

negative

b)

positive

c)

zero

d)

one

105.

What is a negative divided by a positive?

a)

negative

b)

positive

c)

zero

d)

one

106.

Solve for x:

 x81=2\frac{x}{8}-1=2  

a)

 66  

b)

 38\frac{3}{8}  

c)

 10-10  

d)

 2424  

107.
What operation do these terms mean?
combined
increased by
more than
a)
addition
b)
subtraction
c)
multiplication
d)
division
108.
Eight more than the quotient of a number and 5 is 3.
a)
n/5 + 8 = 3
b)
n/5 - 8 = 3
c)
5n + 8 = 3
d)
5n + 3 = 8
109.

The sum of all the angles of a triangle is 180o. 2 angles have equal measures. One angle measures 36o. What is the measure of one of the unknown angles?

a)

x - 36 = 180

b)

2x - 36 = 180

c)

x + 35 = 180

d)

2x + 36 = 180

e)

Triangles are important to a team winning at football except if Maradona is your teammate

110.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1