wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Integers, Expressions and Equations

Total questions: 44

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

Simplify: 459Simplify:\ \frac{-45}{9}  



(a)  

2.

17(2)=-17-\left(-2\right)=  

a)

19

b)

-19

c)

15

d)

-15

3.

1812=-18-12=  

a)

6

b)

-6

c)

30

d)

-30

4.
Flora made 3 withdrawals of $75 each from her bank account.
What was the overall change in her account?
a)
-$225
b)
$225
c)
-$25
d)
$25
5.

(-1)(1)(-1)(-2)(-1)(1)

a)
2
b)
-2
c)
-5
d)
5
6.

Select ALL that have a positive solution

a)

3 × 5

b)

15 ÷ -5

c)

-10 × -5

d)

-4 × 6

e)

-30 ÷ -6

7.

In the football game on Friday night, the Patriots got the ball. On the first down, they gained 8 yards. The quarterback was sacked on the second down, and lost 12 yards. On the third down, they gained 14 yards. How many total yards did the team gain or lose in these three plays?

a)

+ 12 yards

b)

-10 yards

c)

+ 10 yards

d)

-4 yards

8.
The temperature on Sunday was -15o C.  The temperature on Monday was 12 degrees less than the temperature on Sunday.  What was the temperature on Monday? 
a)
-27o C
b)
27o C
c)
-3o C
d)
3o C
9.
A submarine was situated 800 feet below sea level. If it ascends 350 feet, what is its new position?
a)
450
b)
-450
c)
1150
d)
-1150
10.

Mrs. Wilsbach owed Mrs. Bittner $29 dollars for sub sandwiches. Then, she ordered some wrapping paper from her for $13. How much in debt is Mrs. Wilsbach to Mrs. Bittner?

a)

29 + 13 = $42

b)

29 - 13 = $16

c)

-29 + -13 = $-42

d)

Mrs. Bittner should just give it all to Mrs. Wilsbach for free.

11.

If x = 5,find the value of 7x - 1

a)

34

b)

36

c)

35

12.

Solve 14 - cd when c = 2 and d = 7

a)

0

b)

28

c)

16

d)

23

13.

the product of a number and 8

a)

n/8

b)

8+n

c)

8-n

d)

8n

14.
What are the variables of  
7x + 6y - 9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
15.
What are the coefficients in the expression
8a + b + 9?
a)
8 only
b)
1 and 8
c)
8 and 9
d)
1, 8, and 9
16.
A _____________ is a symbol, usually a letter that stands for a number. 
a)
coefficient
b)
algebraic expression
c)
variable
d)
term
17.

Identify the constant of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

18.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
19.

Evaluate if if w = 6

a)

14

b)

13

c)

10

d)

26

20.

Wayne ate Takis everyday for n days. He ate 28 bags total. Write an expression for how many bags of Takis Wayne ate each day.

a)

28n\frac{28}{n}  

b)

28n28-n  

c)

n28\frac{n}{28}  

d)

28n28n  

21.

2nd graders are going on a field trip to the pumpkin patch. Tickets cost $12 per person. If x students went, write an expression for the total cost for the group.

a)

12x12-x  

b)

12x\frac{12}{x}  

c)

12+x12+x  

d)

12x12x  

22.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
23.
Laura is 3 years older than twice Joseph's age.  If Laura is 27 years old, how old is Joseph?
a)
12
b)
15
c)
24
d)
30
24.
The fourth-grade class collected 200 books to donate to the children’s hospital. They collected four times as many books as the fifth-grade class collected. How many books did the fifth-grade class collect?
a)
40
b)
50
c)
100
d)
150
25.
10 less that half a number is equivalent to 8.  
a)
10 - 1⁄2x = 8 
b)
1⁄2x + 10 = 8
c)
1⁄2x - 10 = 8
d)
10x - 0.5 = 8
26.

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

27.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
28.
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
29.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
by itself
30.

Solve the equation

x + 3 = 5

a)

2

b)

-2

c)

8

d)

-8

31.

m - 4 = 10

a)

-6

b)

6

c)

-14

d)

14

32.

3r=12

a)

36

b)

9

c)

15

d)

4

33.

z2=6\frac{z}{2}=6  

a)

3

b)

4

c)

8

d)

12

34.
a)

145

b)

165

c)

180

d)

190

35.
9 = 2s + 1 
a)
4
b)
-4
c)
3.5
d)
5
36.

Solve the equation

a)

28

b)

32

c)

29

d)

-28

37.
3n + 4 = 7 
a)
1
b)
-1
c)
3.67
d)
2
38.
4y + 1 = 13
a)
4
b)
7
c)
3
d)
2
39.
6.    -3x + 5 = -13
a)
x = -5
b)
x = 2
c)
x = -6
d)
x = 6
40.

3c + 5 = 23

a)

6

b)

8

c)

-6

d)

4

41.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
42.
 A computer printer can print 10 pages per minute. There were already 35 pages in the tray.  The total pages printed was 115 pages. How many minutes has the printer been running?
a)
8
b)
9
c)
7
d)
10
43.
Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven dollar games could he buy with the money he had left?
a)
21 games
b)
3 games
c)
7 games
d)
99 games
44.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35 
d)
.50x - 20 = 35