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Worksheets

Inequalities

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
Which of these means that x is greater than or equal to 12
a)
x ≥ 12
b)
x  > 12
c)
x ≠ 12
d)
x ≥ 15
2.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

3.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

4.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which represents an amount that will require the bank to send a notice?

a)

$18

b)

$19

c)

$20

d)

$21

e)

$22

5.

Andy runs the same number of miles, x, every day. His total distance run for one week is less than 60 miles. Which inequality represents how many miles Andy runs each day?

a)

7 + x > 60

b)

7 + x < 60

c)

7x>60

d)

7x<60

6.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
7.
Which represents the word sentence as an inequality?
A number w is smaller than 5.
a)

w < 5

b)

w > 5

c)

w ≤ 5

d)

w ≥ 5

8.
Which inequality represents the below statement. I can have no more than 10 pieces of candy. 
a)

x ≥ 10

b)

x > 10 

c)

x ≤ 10 

d)

x < 10 

9.
10 ≥ x - 3
a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

10.

6x>126x>12  

a)

x<2x<2  

b)

x2x\le2  

c)

x>2x>2  

d)

x2x\ge2  

11.

s+514s+5\le14  

a)

s<9s<9  

b)

s9s\le9  

c)

s>9s>9  

d)

s9s\ge9  

12.

m + 9 <13m\ +\ 9\ <13  

a)

m<4m<4  

b)

m4m\le4  

c)

m>4m>4  

d)

m4m\ge4  

13.

b2<13\frac{b}{2}<13  

a)

b<26b<26  

b)

b26b\le26  

c)

b>26b>26  

d)

b26b\ge26  

14.

13b  3913b\ \le\ 39  

a)

b<3b<3  

b)

b3b\le3  

c)

b>3b>3  

d)


b3b\ge3

15.

z83\frac{z}{8}\ge3  

a)

z<24z<24  

b)

z24z\le24  

c)

z>24z>24  

d)

z24z\ge24  

16.
Match:
The postal scale will weigh a maximum of 50 lbs.
a)

p > 50

b)

p ≤ 50

c)

p ≥ 50

17.
Match:
You must be at least 48 inches tall to ride the bumper cars.
a)

h > 48

b)

h ≤ 48

c)

h ≥ 48

18.

Which number line shows the solution to 5x < 30

a)

G

b)

H

c)

J

19.

On Friday Fun Day, Mrs. Head must divide her class into 4 groups with at least 6 students in each group. Write an inequality to find the number, s, of students in class.

a)

s÷46s\div4\ge6  

b)

4÷s64\div s\ge6  

c)

s÷46s\div4\le6  

d)

4÷s64\div s\le6  

20.
A slice of pizza costs $3.50.  You have $25.00 in your wallet to spend on pizza.  Write an inequality to represent the number, p, of slices of pizza you can buy.
a)
3.50p < 25.00
b)
3.50p > 25.00
c)
3.50p ≤ 25.00
d)
3.50p ≥ 25.00