Chapter 7 Linear Inequalities

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Chapter 7 Linear Inequalities - Quiz


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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  • 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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  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • May 22, 2020
    Quiz Created by
    G-38312032
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