Chapter 7 Linear Inequalities

Approved & Edited by ProProfs Editorial Team

The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.

Learn about Our Editorial Process

| By G-38312032

G-38312032

Community Contributor

Quizzes Created: 1 | Total Attempts: 607

Questions: 5 | Attempts: 611 | Updated: Mar 5, 2025

Quiz Flashcard

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

1/5

Question 1
- A
- B
- C
- D

About This Quiz

Explore Chapter 7 on Linear Inequalities through this quiz assessing your ability to solve and graph inequalities, interpret number lines, and translate real-world scenarios into See moremathematical expressions. Key skills include analytical thinking and application of algebraic concepts.

Questions and Answers

2.

Q2. Solve and graph the inequality. 77 ≤ 5 + 8n
- A
- B
- C
- D
Correct Answer
A. D

Explanation
The correct answer is D because when solving the inequality, we subtract 5 from both sides to isolate the variable: 77 - 5 ≤ 5 + 8n - 5. Simplifying, we get 72 ≤ 8n. Then, we divide both sides by 8 to solve for n: 9 ≤ n. This means that n is greater than or equal to 9. When graphing this inequality on a number line, we shade the region to the right of 9 to represent all the possible values of n that satisfy the inequality.

Rate this question:
3.

Q3. What inequality does the number line graph represent?
- A x ≤ 4
- B x ≥ -4
- C x < -4
- D x < 4
Correct Answer
A. C x < -4

Explanation
The number line graph represents the inequality x < -4. This is because all the numbers to the left of -4 on the number line satisfy the inequality, while all the numbers to the right of -4 do not satisfy the inequality.

Rate this question:

1
4.

Q4. Translate the following phrase: Jessica must be at least 48 inches to ride the roller coaster.
- A j > 48
- B j ≤ 48
- C j < 48
- D j ≥ 48
Correct Answer
A. D j ≥ 48

Explanation
The phrase "Jessica must be at least 48 inches to ride the roller coaster" implies that Jessica's height should be equal to or greater than 48 inches. The symbol ">=" represents "greater than or equal to", so option D, "j >= 48", correctly translates the phrase.

Rate this question:
5.

Q5. Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.
- A x > 8
- B x ≤ 8
- C x < 8
- D x ≥ 8
Correct Answer
A. A x > 8

Explanation
The phrase "You and your friends ate more than 8 slices of pizza at the party" implies that the number of slices of pizza eaten is greater than 8. Therefore, the correct answer is A. x > 8.

Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Mar 05, 2025

Quiz Edited by
ProProfs Editorial Team
May 22, 2020

Quiz Created by
G-38312032

Chapter 7 Linear Inequalities

Question 1

Q2. Solve and graph the inequality. 77 ≤ 5 + 8n

Q3. What inequality does the number line graph represent?

Q4. Translate the following phrase: Jessica must be at least 48 inches to ride the roller coaster.

Q5. Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.