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Gr 5 Solving Equations

Total questions: 69

Worksheet time: 3hrs 1mins

Name
Class
Date
1.
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.
2.
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.
3.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
4.
y/3=12
a)
36
b)
-36
c)
4
d)
-4
5.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
6.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
7.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
8.
Solve the equation:
0 = 4h
a)
h = 4
b)
g = 1
c)
g = -4
d)
g = 0
9.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
10.
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
11.
X + 5 = 26
a)
31
b)
21
c)
16
12.
X - 12 = 8
a)
X = 20
b)
X = 4
c)
X = 16
13.
7 + x = 17
a)
X = 7
b)
x = 14
c)
X = 10
14.
Solve for X:
14 = 3 + x
a)
11
b)
12
c)
10
d)
4
15.
r + 17 = 68
a)
51
b)
54
c)
85
16.

Solve:

4y = 24

a)

y = 4

b)

y = 6

c)

y = 3

d)

y = 12

17.

Solve:

15x = 45

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = 8

18.

Solve:

100 = 20k

a)

k = 8

b)

k = 5

c)

k = 2

d)

k = 10

19.

m/5 = 6

a)

m =9

b)

m = 5

c)

m = 3

d)

m = 30

20.

h/8 = 9

a)

m = 3

b)

m = 72

c)

m = 4

d)

m = 11

21.
Laney pays $0.99 for each song she downloads from the Internet. In total, she paid $24.75 for songs from the Internet. How many songs does Laney download? 
a)
20 songs
b)
25 songs
c)
30 songs
d)
35 songs
22.
Which of the following can always be used to check your solution to your equation?
a)
distributive property
b)
difference
c)
substitution
d)
mean
23.
Which of the following is used to solve single step equations mathematically?
a)
substitution
b)
inverse operations
c)
frequency
d)
data analysis
24.
Solve the equation.
150 + y = 879
a)
y = 729
b)
y = 150
c)
y = 1,029
d)
y = - 729
25.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
26.
When solving an equation, our goal is to:
a)
add all the numbers together.
b)
use a calculator.
c)
eat lunch.
d)
isolate the variable to solve.
27.
a)
a
b)
b
c)
c
d)
d
28.
What is the inverse operation you would use to solve:
6x = 36
a)
Multiply
b)
Divide
c)
Add
d)
Subtract
29.
Which of the following is an equation?
a)
4x - 7
b)
3 - 7t
c)
7x = 49
d)
43x - 9
30.
When solving 234 + N =389, what operation would you use to find the answer
a)
multiplication
b)
addition
c)
subtraction
d)
division
31.

2x/3 = 6

a)

2

b)

9

c)

4

d)

8

32.

3(b+2) = 6

a)

4

b)

2

c)

0

d)

1

33.

x2 = 25

a)

5

b)

-5

c)

3

d)

2

34.

8 = 2(b -2)

a)

5

b)

2

c)

6

d)

4

35.

50 - x = 30

a)

2

b)

20

c)

10

d)

5

36.

20 - 2x = 10

a)

1

b)

2

c)

5

d)

10

37.

3x + 6 = 24

a)

2

b)

3

c)

4

d)

6

38.

2(x +3) = 16

a)

5

b)

29

c)

11

d)

2

39.
A caterer is making 3 trays of 24 sandwiches and 2 trays of 30 sandwiches. She receives an order for 35 sandwiches. How many sandwiches, s, does the caterer have left? 
a)
s=97
b)
s=132
c)
s=19
d)
s=167
40.
 A baseball league has a total of 156 players. The players are divided into 12 equal teams. Each team has 3 coaches. All players and coaches receive 2 jerseys. How many jerseys, j, will each team receive?
a)
j=78
b)
j=318
c)
j=384
d)
j=32
41.

Problems that you can solve by yourself are

a)

Medium size problems

b)

Small problems

c)

Big problems

42.

Problems that require adult assistance are (Check all that apply)

a)

Small problems

b)

Medium problems

c)

Big problems

43.

Your class mate is making annoying comments to you. What can you do?

a)

Use an I statement to say how you feel and ask them to stop

b)

Ignore them

c)

Push their books off their desk

d)

Tell your teacher

44.

Relaxation breathing is a strategy we can use to help us calm down.

a)

True

b)

False

45.

Good ways to ask for help in the classroom are:

a)

raise your hand

b)

ask a classmate for help

c)

poke a classmate with your pencil

d)

stomp your feel

46.

You're at your locker. You can't open it. You ask another student for help. They say no. What can you do?

a)

Ask a different student

b)

Ask a teacher

c)

Try to open it yourself

d)

Kick your locker

47.
x ÷ 2 = 12
a)
x = 24
b)
x = 6
c)
x = 20
d)
x = 10
48.
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
49.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
50.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
51.

how would you solve this equation: 9x=153?

a)

multiply by 9 on both sides

b)

divide by 9 on both sides

c)

add 9 to both sides

d)

subtract 9 from both sides

52.
a)
6/10
b)
1
c)
0
d)
9/25
53.
a)
2/4
b)
1
c)
1/2
d)
2
54.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
55.
The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.
a)
25x=125,
x = 5 feet
b)
x+22=125,
x = 20 feet
c)
x-25=125
x=150 feet
d)
25x=125
x=3,125 feet
56.
Translate 4 more than x equals 7 into an equation and solve. 
a)
x+4=7
x = 11
b)
x+4=7
x = 3
c)
x-4=7
x = 11
d)
x-4=7
x=3
57.
Is the solution to x+3=5 greater than, less than, or equal to 5?
a)
Greater than
b)
Less than
c)
Equal to
d)
All of the above
58.
Is the solution to 6x=54 greater than, less than, or equal to 54?
a)
Greater than
b)
Less than
c)
Equal to
d)
All of the above
59.
Xavier spent $537 for 86 packs of Pokemon cards. Using compatible numbers, what is a reasonable estimate for the cost of each pack?
a)
4
b)
6
c)
7
d)
8
60.
Eddie has 985 songs on his iPad. If Eddie divides his songs equally into 70 albums, how many songs will be in each album?
a)
14 songs with 5 songs left over
b)
15 songs with 0 left over
c)
14 songs with 4 songs left over
d)
14 songs with 0 left over
61.
At Subway, cheese melts cost $3 each and turkey subs cost $4. Jacob has $42. If he buys some cheese melts and has $3 left over, how many cheese melts did he buy?
a)
11
b)
12
c)
13
d)
14
62.
Degan has 617 students. Each class has between 28 and 32 students. Which of the following is a reasonable estimate of the number of classes in the school?
a)
30
b)
14
c)
60
d)
20
63.
In the equation 800 ÷ 10 = 8, the number 8 is the?
a)
Divisor
b)
Quotient
c)
Product
d)
Dividend
64.
Mr. C bought 23 boxes of pizza to divide equally among the 92 students in 5th grade. If each box contains 8 slices of pizza, how many slices did each student get?
a)
4
b)
3
c)
2
d)
1
65.
a)
12
b)
1/12
66.
a)
12 
b)
1/12
67.
a)
18 
b)
1/18
68.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
69.

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.

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