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Worksheets

Equations and Inequalities

Total questions: 30

Worksheet time: 3hrs 30mins

Name
Class
Date
1.
Which is an equation?
a)
4x = 9
b)
4x - 9
c)
4x
d)
- 9
2.
A letter that stands for a number
a)
constant
b)
coefficient
c)
variable
d)
expression
3.
3y + 5
a)
term 
b)
variable 
c)
coefficient
d)
constant
4.

+ 5 =10

a)

coefficient 

b)

terms

c)

variable

d)

constant

5.
What does isolate the variable mean?
a)
Make sure the variable is not alone.
b)
Get the variable by itself.
c)
Make the variable do a dance.
d)
Double the variable
6.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
7.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
8.
r + 20 = 27
a)
r = 7
b)
r = 47
c)
r = 13
d)
r = 20
9.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
10.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
11.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

12.

x4+8=10\frac{x}{4}+8=10  

a)

x=4x=-4  

b)

x=8x=-8  

c)

x=8x=8  

d)

x=16x=16  

13.

3c+5=233c+5=23  

a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
14.
2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
15.
WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
a)
5+x=25
b)
5+4x=25
c)
5x=25
d)
23-5=4x
16.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
17.
Greater than
a)
<
b)
>
c)
d)
18.
Less Than
a)
<
b)
>
c)
d)
19.
Greater than or equal to
a)
<
b)
>
c)
d)
20.
When graphing an inequality, you use an OPEN dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
21.
When you graph an inequality, you used a CLOSED dot when you use which symbols?
a)

≤, ≥

b)

<, >

c)

>, <

d)

≥, <

22.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
23.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

24.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
25.
Pick the correct inequality.
a)
x < -6
b)
x ≥ -6
c)
x > -6
d)
x ≤ -6
26.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

27.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

28.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
29.

4x2224x-2\le-22

a)

x5x\ge-5

b)

x6x\ge-6

c)

x6x\le-6

d)

x5x\le-5

30.

3r+10<2-3r+10<-2

a)

r<83r<-\frac{8}{3}

b)

r>83r>-\frac{8}{3}

c)

r>4r>4

d)

r<4r<4