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Worksheets

Inequalities Test

Total questions: 40

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

x is less than 9

a)

x < 9

b)

x ≥ 9

c)

x > 9

d)

x ≤ 9

2.

x fewer than 6

a)

x ≤ 6

b)

x > 6

c)

x ≥ 6

d)

x < 6

3.

Is the statement true of false.

-17 > -18

a)

True

b)

False

4.

Which inequality symbol represents the statement.

Less Than

a)

<<

b)

>>

c)

\le

d)

\ge

5.

Which inequality symbol represents the statement.

Greater Than or Equal To

a)

<<

b)

>>

c)

\le

d)

\ge

6.

Which inequality symbol represents the statement.

Less Than or Equal To

a)

<<

b)

>>

c)

\le

d)

\ge

7.

Which inequality symbol represents the statement.

Greater Than

a)

<<

b)

>>

c)

\le

d)

\ge

8.

x is no more than 13

a)

x < 13

b)

x ≥ 13

c)

x > 13

d)

x ≤ 13

9.

Which represents the word sentence as an inequality?

A number n is at least 17.

a)

n < 17

b)

n ≥ 17

c)

n > 17

d)

n ≤ 17

10.

You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

11.

y + 7 ≥ 12

a)

y ≥ 5

b)

y ≥ 19

c)

y ≤ 5

d)

y ≤ 19

12.

y − 10 > 14

a)

y < 4

b)

y <24y\ <24

c)

y > 4

d)

y > 24

13.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ 31

c)

r ≥ -31

d)

r ≥ -3

14.

8x < 48

a)

x > -6

b)

x < -6

c)

x < 6

d)

x > 6

15.

 a55\frac{a}{5}\le5  

a)

a≤1

b)

a>1

c)

a≤25

d)

a<25

16.

Top Golf charges $12 for each hour. You can spend no more than $60.


Which of the following inequalities could help you solve for all the possible hours, h, that you can golf for?

a)

12x < 60

b)

12x > 60

c)

12x ≤ 60

d)

12x ≥ 60

17.

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall.


Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

a)

6 + x ≥ 35

b)

6 + x < 35

c)

6 + x > 35

d)

6 + x ≤ 35

18.

An unknown number decreased by 9 is at most 25. What is the number?

a)

x - 9 ≥ 25

b)

x - 9 < 25

c)

x - 9 ≤ 25

d)

x - 9 > 25

19.

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

a)

d − 15 > 40

b)

d + 15 ≥ 40

c)

d − 15 < 40

d)

d + 15 ≤ 40

20.

The temperature for the day starts at 37 degrees and rises to at least 60 degrees.


Which of the following inequalities could be used to find all the possible values of t, the amount the temperature could rise?

a)

37 + x > 60

b)

37 + x < 60

c)

37 + x ≥ 60

d)

37 + x ≤ 60

21.

 18+a>2118+a>21  

a)

2

b)

3

c)

4

22.

 24x1924-x\le19  

a)

3

b)

4

c)

5

23.

 7+r187+r\ge18  

a)

11

b)

10

c)

9

24.

 16+j2916+j\ge29  

a)

13

b)

12

c)

11

25.

14 – r < 9; r = 6

a)

True

b)

False

26.

t + 6 > 40; t = 35

a)

True

b)

False

27.

9x ≥ 80; x = 9

a)

True

b)

False

28.

15 ≤ 3z; z = 4

a)

True

b)

False

29.

16 + m > 40; m = 16

a)

True

b)

False

30.

j – 11 ≥ 20; j = 32

a)

True

b)

False

31.

a < 8

a)

Open

b)

Close

32.

d ≤ 4

a)

Open

b)

Close

33.

b ≥ 11

a)

Open

b)

Close

34.

x > 3

a)

Open

b)

Close

35.

x < 9

a)

Open

b)

Close

36.

r ≥ 4

a)

Right

b)

Left

37.

x > 10

a)

Right

b)

Left

38.

x ≥ 6

a)

Right

b)

Left

39.

x ≤ 2

a)

Right

b)

Left

40.

d ≤ 4

a)

Right

b)

Left