Multi Step Inequalities Quiz - By Melissa Barnhart

Reviewed by 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 Melissa Barnhart
M
Melissa Barnhart
Community Contributor
Quizzes Created: 1 | Total Attempts: 296
| Attempts: 296
SettingsSettings
Please wait...
  • 1/6 Questions

    Solve for x:4(x - 1) + 3 > 15

    • X > 4
    • X > -4
    • X < 4
    • X < -4
Please wait...
Multi Step Inequalities Quiz - By Melissa Barnhart - Quiz
About This Quiz

Multi Step Inequalities Quiz by Melissa Barnhart challenges learners to solve inequality problems involving variables. The quiz assesses understanding of algebraic concepts, enhancing problem-solving skills in a structured format, suitable for students seeking to improve their mathematical reasoning.

Quiz Preview

  • 2. 

    Solve.  5(x - 2) > 20

    • X < 6

    • X > 2

    • X < 2

    • X > 6

    Correct Answer
    A. X > 6
    Explanation
    The given inequality is 5(x - 2) > 20. To solve this, we first distribute 5 to both terms inside the parentheses, resulting in 5x - 10 > 20. Next, we add 10 to both sides to isolate the variable, which gives us 5x > 30. Finally, we divide both sides by 5 to solve for x, giving us x > 6.

    Rate this question:

  • 3. 

    Solve.  3(x + 2) - 4 < 92

    • X < -30

    • X < 30

    • X > 30

    • X > -30

    Correct Answer
    A. X < 30
    Explanation
    To solve the inequality, we first distribute the 3 to both terms inside the parentheses: 3x + 6 - 4 < 92. Simplifying further, we have 3x + 2 < 92. Next, we subtract 2 from both sides of the inequality: 3x < 90. Finally, we divide both sides by 3 to isolate x: x < 30. Therefore, the correct answer is x < 30.

    Rate this question:

  • 4. 

    Solve.  -5p - 5 - 2p < -33

    • P > -4

    • P < 5.14

    • P > 4

    • P < 5

    Correct Answer
    A. P > 4
    Explanation
    The given inequality is solved by combining like terms and isolating the variable p. By adding 5 to both sides and combining like terms, we get -7p - 5 < -33. Then, by adding 7p to both sides and subtracting 33 from both sides, we get -5 < 7p - 33. By adding 33 to both sides, we get 28 < 7p. Finally, by dividing both sides by 7, we get p > 4.

    Rate this question:

  • 5. 
    Which answer represents the graph above? - ProProfs

    Which answer represents the graph above?

    • X > 3

    • X ≤ 3

    • X ≥ 3

    Correct Answer
    A. X ≥ 3
    Explanation
    The graph above represents the solution set where x is greater than or equal to 3. This is because the line on the graph is solid and includes the point (3,0), indicating that 3 is included in the solution set. Therefore, the correct answer is x ≥ 3.

    Rate this question:

  • 6. 

    Solve for x:-10x + 6 + 8x ≤ 20

    • X ≤ -7

    • X ≥ -7

    • X ≥ 7

    • X ≤ 7

    Correct Answer
    A. X ≥ -7
    Explanation
    The given inequality is solved by combining like terms and isolating the variable x. By subtracting 6 from both sides of the inequality, we get -10x + 8x ≤ 14. Simplifying further, we have -2x ≤ 14. Dividing both sides by -2, we find that x ≥ -7. Therefore, the answer is x ≥ -7.

    Rate this question:

Quiz Review Timeline (Updated): Mar 20, 2023 +

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

  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 31, 2017
    Quiz Created by
    Melissa Barnhart
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.