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Checking Solutions for Inequalities

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Is this an equation or an inequality?


x > 0

a)

Equation

b)

Inequality

2.

What is a similarity between solving linear inequalities and linear equations in one variable?

a)

Both require flipping the inequality sign when multiplying or dividing by a negative number.

b)

Both involve finding a specific value for the variable.

c)

Both can be solved using similar algebraic operations like addition and subtraction.

d)

Both always have a single solution.

3.

Which inequality represents the graph?

a)

X > - 1

b)

X ≥\ge

c)

X < -1

d)

X ≤\le

4.

Which of the following choices are solutions to the inequality? x > 4 SELECT ALL THE APPLY

a)

3

b)

4

c)

5

d)

6

5.

Which of the following choices are solutions to the inequality?
 X ≤\le  10
SELECT ALL THAT APPLY

a)

10

b)

11

c)

9

d)

8

6.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

7.

Which inequality represents the graph?

a)

X < 4

b)

X undefined4

c)

X > 4

d)

X ≥\ge 4

8.

Which inequality represents the graph?

a)

X > 3

b)

X ≥\ge 3

c)

X < 3

d)

X ≤\le 3

9.

Which inequality represents: John has at most $1,000?

a)

X < $1,000

b)

X > $1,000

c)

X ≤\le $1,000

d)

X ≥\ge $1,000

10.

Which inequality represents:

He has more than 8 pets.

a)

X > 8

b)

X < 8

c)

X ≥\ge 8

d)

X ≤\le 8

11.

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

a)

≤, ≥ 

b)

<, >

c)

≤, <

d)

≥, >

12.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

 11 ≤ a

d)

 11 ≥ a

13.

Makayla began with $45 in her account. She saved $15 every week, She now has more than $205. 

a)

15w + 45 < 205

b)

15w + 45 > 205

c)

45a + 15 < 205

d)

45a + 15 > 205

14.

Joshua earned 12 per hour waiting tables then he spent $35 on gas. He now has less than $25 left. 

a)

12h + 35 < 25

b)

12h - 35 < 25

c)

12h - 35 ≤ 25

d)

12h + 35 ≤ 25

15.

you must be at least 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48