Chapter 7 Linear Inequalities

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Questions: 5 | Attempts: 338 | Updated: Mar 22, 2023

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Questions and Answers

1.

Question 1
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
C. C
2.

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

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3.

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

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1
0
4.

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

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5.

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

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Mar 22, 2023

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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.