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Worksheets

Equations

Total questions: 91

Worksheet time: 3hrs 29mins

Name
Class
Date
1.
Five times as many as seven is thirty-five
a)
5 x 7 = 35
b)
35 = 5 x 7
c)
5 + 7 = 35
d)
35 = 5 + 7
2.
Tanner and Zach both play basketball.  In a game, Tanner scored 6 points. Zach scored 4 times as many times as Tanner.  How many points did Zach score?
a)
24
b)
28
c)
18
d)
22
3.
Three times as many as six is eighteen
a)
3 + 6 = 18
b)
3 x 6 = 18
c)
6 x 3 = 9
d)
18 = 6 x 3
4.
Jill is four times as tall as Danny.  Danny is five feet tall. How tall is Jill?
a)
5 x 4 = 20
b)
20= 4 x 5
c)
4 x 5 = 20
d)
20 = 5 x 4
5.

Jeremiah had 9 video games. I have 8 times as many. How many video games do I have?

a)

81

b)

8

c)

9

d)

72

6.

Dan has 9 sticky notes left. I have 9 times as many as Dan. How many sticky notes do I have?

a)

81

b)

9

c)

72

7.

There are 3 kittens at Pam's house. There are two times as many kittens at Kate's house. How many kittens are at Kate's house?

a)

3

b)

6

c)

9

d)

12

8.

Carlos has 8 Xbox games. Carlos has twice as many (or two times as many) Xbox games as Jayda.

Which equation represents how many Xbox games Jayda has?

a)

C = 8

b)

J = 8 x 2

c)

8 = 2 x J

d)

8 = 2 + J

e)

J - 2 + 8

9.
Which equation matches the word problem: 
Neha checked out 10 books from the library.  Tara checked out 3 times as many books as Neha.  How many books did Tara check out?
a)
10 - 3 = b
b)
10 + 3 = b
c)
10 x 3 = b
d)
3 + 10 = b
10.
Which word problem has a solution of 9 x 3 = 27?
a)
Jan is 9 times older than her cousin Josh who is 3 years old. How old is Jan?
b)
Katrina buys 9 cupcakes for twenty seven cents each.  How much total money did Katrina spend?
c)
Don saves for 9 weeks to buy 3 games. How many weeks did Don save for each game?
d)
Sam spends $9 on a book and $3 on a notebook.  How much total money does Sam spend?
11.

An equation is...

a)

a problem that contains at least one variable and at least one operation; no equal sign

b)

a mathematical sentence showing two expressions are equal.

c)

The solution for a variable

d)

The value that results in a true sentence

12.

A solution is...

a)

A variable that results in a true sentence

b)

A mathematical sentence showing two expressions are equal.

c)

Numbers expressed using exponents

d)

The value for the variable in an equation.

13.

Inverse Operations are operations which undo each other.

a)

True

b)

False

14.

d + 3 = 8


d = ?

a)

d = 3

b)

d = 8

c)

d = 5

d)

d = 11

15.

5 + g = 6


g = ?

a)

g = 5

b)

g = 1

c)

g = 11

d)

g = 9

16.

a - 1.1 = 2.3


a = ?

a)

a = 3.4

b)

a = 3

c)

a = 1.2

d)

a = 1.1

17.

4 - a = 1


a = ?

a)

a = -3

b)

a = 1

c)

a = 5

d)

a = 3

18.

4g = 24


g = ?

a)

g = 96

b)

g = 28

c)

g = 6

d)

g = 20

19.

2.5y = 5


y = ?

a)

y = 2

b)

y = 2.5

c)

y = 7.5

d)

y = 12.5

20.

5 = p ÷ 4


p = ?

a)

p = 9

b)

p = 1

c)

p = 5

d)

p = 20

21.

w ÷ 6 = 7

a)

w = 42

b)

w = 13

c)

w = 1

d)

w = 36

22.

What is the inverse operation of adding?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

23.

What is the inverse operation of dividing?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

24.

What is the inverse operation of subtracting?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

25.

What is the inverse operation of multiplying?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

26.
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.
27.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
28.
c/2 =  -14
a)
c = -7
b)
c = -7
c)
c = -28
d)
c =  28
29.
Which equation has x=9 as a solution
a)
4 + x = 12
b)
5x = 45
c)
2x = 20
d)
x + 7 = 26
30.
Three times as many as six is eighteen
a)
3 + 6 = 18
b)
3 x 6 = 18
c)
6 x 3 = 9
d)
18 = 6 x 3
31.

Carlos has 8 Xbox games. Carlos has twice as many (or two times as many) Xbox games as Jayda.

Which equation represents how many Xbox games Jayda has?

a)

C = 8

b)

J = 8 x 2

c)

8 = 2 x J

d)

8 = 2 + J

e)

J - 2 + 8

32.
Which word problem has a solution of 9 x 3 = 27?
a)
Jan is 9 times older than her cousin Josh who is 3 years old. How old is Jan?
b)
Katrina buys 9 cupcakes for twenty seven cents each.  How much total money did Katrina spend?
c)
Don saves for 9 weeks to buy 3 games. How many weeks did Don save for each game?
d)
Sam spends $9 on a book and $3 on a notebook.  How much total money does Sam spend?
33.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

34.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

35.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

36.

What is the solution of 42 = 7f

a)

294

b)

49

c)

35

d)

6

37.

Kelly earned $20 for babysitting. She has also earned money by doing chores. Altogether, she has earned $100. How much did she earn doing chores?

a)

$5

b)

$20

c)

$80

d)

$120

38.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
39.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
40.
Solve for x:
x + 8 = -3
a)
x = -5
b)
x = 5
c)
x = -11
d)
x = 11
41.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
42.
Solve for k:
6k = 30
a)
k = 36
b)
k = 24
c)
k = 180
d)
k = 5
43.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
44.

An equation is...

a)

a problem that contains at least one variable and at least one operation; no equal sign

b)

a mathematical sentence showing two expressions are equal.

c)

The solution for a variable

d)

The value that results in a true sentence

45.
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.
46.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
47.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
48.

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

49.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
50.
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
51.
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
52.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
53.

What is the first inverse operation needed to solve for y?

2y - 254= 900

(think: what is step one?)

a)

subtraction

b)

addition

c)

multiplication

d)

division

54.
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.
55.

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

56.

When solving a two-step equation which operations do you undo first?

a)

addition and subtraction

b)

addition and multiplication

c)

multiplication and division

d)

subtraction and division

57.

What is the inverse operation of adding?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

58.

What is the inverse operation of multiplying?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

59.

What is the inverse operation of adding?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

60.
Five times as many as seven is thirty-five
a)
5 x 7 = 35
b)
35 = 5 x 7
c)
5 + 7 = 35
d)
35 = 5 + 7
61.
-10z = 40
a)
z = 50
b)
z = 30
c)
z = -4
d)
z = 4
62.

Carlos has 8 Xbox games. Carlos has twice as many (or two times as many) Xbox games as Jayda.

Which equation represents how many Xbox games Jayda has?

a)

C = 8

b)

J = 8 x 2

c)

8 = 2 x J

d)

8 = 2 + J

e)

J - 2 + 8

63.
18 = -3c
a)
c = 6
b)
c = -6
c)
c = 15
d)
c = -15
64.
-10z = 40
a)
z = 50
b)
z = 30
c)
z = -4
d)
z = 4
65.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

66.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
67.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
68.
What is the definition of a coefficient?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number in back of a variable
69.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
70.
Which of the following is an equation?
a)
6x + 2x - 6
b)
6x2 + 10 = 25
c)
6x2 + 10 - 25
d)
10y - 6 + 34u
71.
6p - 5 =13
a)
12
b)
15
c)
3
d)
-3
72.
12 + m = 15
a)
2
b)
3
c)
4
73.
Solve for x:
3x = 6
a)
2
b)
18
c)
3
74.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

75.
n+2=-14-n
a)
6
b)
8
c)
-8
76.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
77.
-10z = 40
a)
z = 50
b)
z = 30
c)
z = -4
d)
z = 4
78.
18 = -3c
a)
c = 6
b)
c = -6
c)
c = 15
d)
c = -15
79.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
80.
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.
81.
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.
82.
 What is the second step in solving the following equation?
-3x + 5 = 20
a)
Subtract 5 from both sides
b)
Divide both sides by -3
c)
Divide both sides by 3
d)
add 3x to both sides
83.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
84.
Mrs. Powers will have a sub next Wednesday.  Which of the following are true?
a)
I will earn a "free 5" on my daily quiz because we won't have one on a sub day
b)
If my name gets written down as a "problem" I will earn a teacher's detention
c)
I will be on my best behavior because I know what is expected of me no matter who is here
d)
ALL are true
85.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

86.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

87.

What is the solution of y + 5 = 10

a)

15

b)

10

c)

6

d)

5

88.

What is the solution of 13 = t + 7

a)

5

b)

6

c)

7

d)

20

89.
-5 - 6a = -59
a)
a= 11
b)
a= -6
c)
a= 9
d)
a= 2
90.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
91.
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.