Inequalities Worksheet

Inequalities Worksheet

9th Grade

15 Qs

quiz-placeholder

Similar activities

Quadratic Inequalities

Quadratic Inequalities

9th Grade

20 Qs

Thanksgiving Break Assignment

Thanksgiving Break Assignment

9th Grade

20 Qs

Mastering Compound and Multi-Step Inequalities

Mastering Compound and Multi-Step Inequalities

9th Grade - University

13 Qs

Graphing Inequalities on a Number Line

Graphing Inequalities on a Number Line

6th - 9th Grade

20 Qs

Intro to Inequalities

Intro to Inequalities

8th - 12th Grade

20 Qs

Regions Inequalities

Regions Inequalities

9th Grade - University

15 Qs

Inequality Vocab

Inequality Vocab

6th - 12th Grade

19 Qs

Long Test 2

Long Test 2

9th Grade

15 Qs

Inequalities Worksheet

Inequalities Worksheet

Assessment

Quiz

Mathematics

9th Grade

Hard

Created by

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the inequality: 7 - 2x ≥ 1. What is the solution for x?

x ≤ 3

x ≥ 3

x ≤ -3

x ≥ -3

Answer explanation

To solve the inequality 7 - 2x ≥ 1, subtract 7 from both sides to get -2x ≥ -6. Dividing by -2 reverses the inequality, resulting in x ≤ 3. Thus, the correct answer is x ≤ 3.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following inequalities is equivalent to -6 ≥ 3x?

x ≤ -2

x ≥ -2

x ≤ 2

x ≥ 2

Answer explanation

To solve -6 ≥ 3x, divide both sides by 3, yielding -2 ≥ x, which is equivalent to x ≤ -2. Thus, the correct choice is x ≤ -2.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Interpret the solution of the inequality x ≤ -1.

x is any number greater than -1

x is any number less than -1

x is any number equal to -1

x is any number less than or equal to -1

Answer explanation

The inequality x ≤ -1 means x can be any number that is less than or equal to -1. This includes -1 itself and all numbers smaller than -1, making 'x is any number less than or equal to -1' the correct interpretation.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the inequality: -8x > 16. What is the solution for x?

x < -2

x > -2

x < 2

x > 2

Answer explanation

To solve -8x > 16, divide both sides by -8, which reverses the inequality: x < -2. Thus, the solution is x < -2.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which inequality symbol represents "less than or equal to"?

Answer explanation

The symbol "\le" represents "less than or equal to". It indicates that one value is either less than or exactly equal to another value, making it the correct choice for this inequality.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the inequality: -3x > 9. What is the solution for x?

x < -3

x > -3

x < 3

x > 3

Answer explanation

To solve -3x > 9, divide both sides by -3, which reverses the inequality: x < -3. Thus, the solution is x < -3, not x < 3. The correct choice is x < -3.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the inequality x ≤ -2 on a number line. Which of the following correctly represents the graph?

A closed circle on -2 with a line extending to the right

An open circle on -2 with a line extending to the left

A closed circle on -2 with a line extending to the left

An open circle on -2 with a line extending to the right

Answer explanation

The inequality x ≤ -2 means x can be -2 or any number less than -2. This is represented by a closed circle on -2 (indicating -2 is included) with a line extending to the left (indicating all numbers less than -2).

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?