Free Printable Unit 4 Inequality Practice

Worksheets

Unit 4 Inequality Practice

Total questions: 56

Worksheet time: 3hrs 10mins

Name

Class

Date

Which inequality does this graph represent?

x>1

x≥1

x>2

x≥2

Which inequality does this graph represent?

x>1

x≥1

x>2

x≥2

Which inequality does this graph represent?

x<3

x≤3

x<4

x≤4

Which inequality does this graph represent?

x<3

x≤3

x<4

x≤4

Which graph matches this inequality?

x<2

Which graph matches this inequality?

x≤2

Which graph matches this inequality?

x>2

Which graph matches this inequality?

x≥2

What direction should the shaded arrow point for x > 3?

Left

Right

10.

What type of dot should x > 3 have?

Open

Closed

11.

What direction should the shaded arrow point for 3 < x?

Left

Right

12.

What type of dot should 3 < x have?

Open

Closed

13.

What direction should the shaded arrow point for x < -4?

Left

Right

14.

What type of dot should x < -4 have?

Open

Closed

15.

Will I need to reverse the inequality symbol?

3x ≥ 12

Yes

16.

Will I need to reverse the inequality symbol?

-12y < -24

Yes

17.

Will I need to reverse the inequality symbol?

2n > -10

Yes

18.

When you graph an inequality, you used a closed dot when you use which symbols?

≤, ≥

<, >

19.

Solve for t.

6t + 4 ≤ -2

t ≤ -1

t ≤ 1

t=1

1=t

20.

Solve for k.
2k - 9≤ -19

k ≤ -5

k ≤ 5

k < -5

k < 5

21.

3x - 2 ≥ 34

x ≥ -12

x ≤ -12

x ≤ 12

x ≥ 12

22.

Do I need to flip my sign?
-3x ≥ 12

Yes

23.

What inequality does the number line graph represent?

x ≤ 4

x ≥ -4

x < -4

x < 4

24.

Translate the following phrase: Jessica must be at least 48 inches to ride the roller coaster.

j > 48

j < 48

j ≤ 48

j ≥ 48

25.

Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.

t > 20

t < 20

t ≤ 20

t ≥ 20

26.

If you were to graph the inequality would the circle be open or closed?
x > 45

open

closed

27.

If you were to graph the inequality would the circle be open or closed?
x ≥ 15

open

closed

28.

A student must be at least 15 years old to obtain a driver’s permit.

x > 15

x < 15

x ≤ 15

x ≥ 15

29.

Which inequality matches the graph?

x<3

x>3

x<3

x>3

30.

Which graph matches the inequality
r ≥ -6?

31.

Pick the correct letter for:
6 > x

32.

What inequality does the number line graph represent?

4 < x

x > 4

x < 4

x ≤ 4

33.

Graph the inequality: $x\ge4$

34.

Graph the inequality: $x\le-2$

35.

Graph the inequality: $x\ge\frac{1}{2}$

36.

Graph the inequality: $x>0$

37.

Write the word sentence as an inequality
a number b is at least -16

b ≥ -16

b ≤ -16

b = -16

b > -16

38.

Write the word sentence as an inequality
6 times a number x is at most 47

6x > 47

6x ≥ 47

6x < 47

6x ≤ 47

39.

Solve the inequality
x - 2 < 5

x < 3

x ≥ 7

x < 7

x ≤ 7

40.

Solve the inequality
2 ≥ y - 12

y ≤ 14

y > 14

y < 10

y ≤ 10

41.

Solve the inequality
b ÷ 2 > 4

b < 8

b ≥ 8

b > 8

b > 2

42.

Tell whether the given value is a solution to the inequality
x - 5 ≤ 10 ; x = 6

IS a solution

IS NOT a solution

43.

Tell whether the given value is a solution to the inequality
y + 4 < 16 ; y = 13

IS a solution

IS NOT a solution

44.

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.

3.50p < 25.00

3.50p > 25.00

3.50p ≤ 25.00

3.50p ≥ 25.00

45.

On Friday Fun Day, Mrs. Burns 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.

s ÷ 4 ≥ 6

s ÷ 4 ≤ 6

s ÷ 6 ≥ 4

s ÷ 6 ≤ 4

46.

Translate the following sentence into an inequality
four more than a number is less than 17

x + 4 > 17

x + 4 ≤ 17

x + 4 < 17

x < 17 + 4

47.

Translate the word sentence into an inequality
a number, t, divided by 80 is at most 5.25

t ÷ 80 ≥ 5.25

t ÷ 80 ≤ 5.25

t ÷ 80 > 5.25

t ÷ 80 < 5.25

48.

Choose BOTH the answer AND the picture! (Choose 2)
-1 + x $\ge$ 4

x < -5

x $\ge$ 5

49.

$\frac{x}{4}>\ -4$ Choose the correct graph for the following problem

50.

What are two numbers that could be x in x < 8?

8.6, 7.9

11, 16

0.8, 5.9

12, 7.1

51.

Which sentence represents m > 41?

Mary’s points, m, totaled more than 41

Calvin ran no less than 41 miles, m

The temperature, m, was less than 41°F

The magazines’ cost, m, was not more than $41.

52.

Write the word sentence as an inequality
a number b is at least -16

b ≥ -16

b ≤ -16

b = -16

b > -16

53.

Write the word sentence as an inequality
6 times a number x is at most 47

6x > 47

6x ≥ 47

6x < 47

6x ≤ 47

54.

Tell whether the given value is a solution to the inequality
y + 4 < 16 ; y = 13

IS a solution

IS NOT a solution

55.

Tell whether the given value is a solution to the inequality
x - 5 ≤ 10 ; x = 6

IS a solution

IS NOT a solution

56.

On Friday Fun Day, Mrs. Burns 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.

s ÷ 4 ≥ 6

s ÷ 4 ≤ 6

s ÷ 6 ≥ 4

s ÷ 6 ≤ 4

100 %

Unit 4 Inequality Practice

Total questions: 56

Worksheet time: 3hrs 10mins

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