Solving Inequalities Pre-algebra Quiz! Trivia

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  • 1/20 Questions

    Find the number of miles traveled by driving at 50 miles per hour for 4 1/2 hours.

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About This Quiz

Dive into the 'Solving Inequalities Pre-Algebra Quiz! Trivia', where learners tackle problems involving basic algebraic inequalities and equations. This quiz assesses understanding of solving for unknowns and writing inequalities, enhancing foundational algebra skills crucial for advanced mathematical studies.

Solving Inequalities Pre-algebra Quiz! Trivia - Quiz

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  • 2. 

    Green Valley Middle School is selling wrapping paper.  For each roll of wrapping paper sold the school receives 45 cents.  How many rolls of wrapping paper must be sold to reach their goal of at least $81?

    Explanation
    To find the number of rolls of wrapping paper needed to reach the goal of at least $81, we can set up the equation: 0.45x ≥ 81, where x is the number of rolls. By dividing both sides of the inequality by 0.45, we get x ≥ 180. This means that the school must sell at least 180 rolls of wrapping paper to reach their goal of $81 or more.

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  • 3. 

    Solve.  z - 5 ≥ 11

    • Z ≥ 6

    • Z ≥ 16

    • Z ≤ 16

    • Z ≥ -6

    Correct Answer
    A. Z ≥ 16
    Explanation
    The correct answer is z ≥ 16 because when we subtract 5 from both sides of the inequality z - 5 ≥ 11, we get z ≥ 16. This means that z must be greater than or equal to 16 in order for the inequality to be true.

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  • 4. 

    Solve.  6x > 12

    • X > -2

    • X > -6

    • X > 2

    • X > 18

    Correct Answer
    A. X > 2
    Explanation
    The correct answer is x > 2 because when we divide both sides of the inequality 6x > 12 by 6, we get x > 2. This means that any value of x that is greater than 2 will satisfy the inequality.

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  • 5. 

    Solve.  x - 6 < 9           2

    • X < -30

    • X < 30

    • X > 30

    • X > -30

    Correct Answer
    A. X < 30
    Explanation
    The given inequality states that x minus 6 is less than 9. To solve for x, we can add 6 to both sides of the inequality, resulting in x being less than 15. Therefore, the correct answer is x < 30.

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  • 6. 

    Solve.  2m + 2 = 4m

    • 2

    • 0

    • -2

    • 1

    Correct Answer
    A. 1
    Explanation
    To solve the equation 2m + 2 = 4m, we need to isolate the variable m. We can do this by subtracting 2m from both sides of the equation. This gives us 2 = 2m. Then, we divide both sides of the equation by 2 to solve for m. The result is 1, which means that m = 1 is the solution to the equation.

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  • 7. 

    Write an inequality for "a number minus 14 is more than 35."

    • 14 - n ≥ 35

    • N - 14 ≥ 35

    • N - 14 < 35

    • N - 14 > 35

    Correct Answer
    A. N - 14 > 35
    Explanation
    The correct answer is n - 14 > 35. This inequality represents the statement "a number minus 14 is more than 35." By subtracting 14 from the unknown number, we can determine if the result is greater than 35.

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  • 8. 

    Solve.  13a + 12 = 8a -13

    • 5

    • -5

    • 1/5

    • -1/5

    Correct Answer
    A. -5
    Explanation
    To solve the equation 13a + 12 = 8a - 13, we need to isolate the variable "a" on one side of the equation. First, we can combine like terms by subtracting 8a from both sides, which gives us 5a + 12 = -13. Then, we can subtract 12 from both sides to get 5a = -25. Finally, we divide both sides by 5 to solve for "a", which gives us a = -5. Therefore, the correct answer is -5.

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  • 9. 

    If h = 2, which word describes the inequality 6h + 9 < 20?

    • Open

    • True

    • False

    • Addition

    Correct Answer
    A. False
    Explanation
    The inequality 6h + 9 < 20 is false when h = 2. By substituting h = 2 into the inequality, we get 6(2) + 9 < 20, which simplifies to 12 + 9 < 20, and further simplifies to 21 < 20. This statement is false, as 21 is not less than 20. Therefore, the correct answer is false.

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  • 10. 

    Solve.  -7p - 5 < -33

    • P > -4

    • P < 5.14

    • P > 4

    • P < 5

    Correct Answer
    A. P > 4
    Explanation
    The given inequality is -7p - 5 < -33. To solve it, we need to isolate the variable p. Adding 5 to both sides gives -7p < -28. Dividing both sides by -7 (and flipping the inequality sign since we are dividing by a negative number) gives p > 4. Therefore, the correct answer is p > 4.

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  • 11. 

    Solve.  -5k ≤ 20

    • K ≤ -4

    • K ≥ 4

    • K ≤ 4

    • K ≥ -4

    Correct Answer
    A. K ≥ -4
    Explanation
    The given inequality is -5k ≤ 20. To solve this inequality, we divide both sides by -5, remembering to reverse the inequality sign since we are dividing by a negative number. This gives us k ≥ -4. Therefore, the correct answer is k ≥ -4.

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  • 12. 

    Solve.  16p + 7 = 2p - 7

    • -2

    • 1

    • -1

    • 2

    Correct Answer
    A. -1
    Explanation
    To solve the equation 16p + 7 = 2p - 7, we need to isolate the variable p. First, we can subtract 2p from both sides of the equation to eliminate the variable on the right side. This gives us 14p + 7 = -7. Next, we can subtract 7 from both sides to get rid of the constant term on the left side. This leaves us with 14p = -14. Finally, we divide both sides by 14 to solve for p, giving us p = -1.

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  • 13. 

    Solve.  5x - 10 > 20

    • X < 6

    • X > 2

    • X < 2

    • X > 6

    Correct Answer
    A. X > 6
    Explanation
    The given inequality is 5x - 10 > 20. To solve this, we add 10 to both sides to isolate the variable: 5x > 30. Then, we divide both sides by 5 to solve for x: x > 6. Therefore, the correct answer is x > 6.

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  • 14. 

    Solve.  x - (-4) < 12

    • X < 8

    • X < 16

    • X > 8

    • X > 16

    Correct Answer
    A. X < 8
    Explanation
    To solve the inequality x - (-4) < 12, we can simplify it by adding 4 to both sides of the inequality. This gives us x < 8 as the solution. This means that any value of x that is less than 8 will satisfy the inequality.

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  • 15. 

    Write an inequality for "six times a number is at most 91."

    • 6k ≤ 91

    • 6k ≥ 91

    • 6k < 91

    • 6k > 91

    Correct Answer
    A. 6k ≤ 91
    Explanation
    The inequality 6k ≤ 91 represents the statement "six times a number is at most 91." This means that when you multiply a number by 6, the result is less than or equal to 91.

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  • 16. 

    Solve.  y - (-3) > -16

    • Y < -13

    • Y < -19

    • Y > -19

    • Y > -13

    Correct Answer
    A. Y > -19
    Explanation
    The given inequality is y - (-3) > -16. Simplifying this, we get y + 3 > -16. Subtracting 3 from both sides, we have y > -19. Therefore, the correct answer is y > -19.

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  • 17. 

    Solve.  4b > -36

    • B > -9

    • B < -9

    • B > 9

    • B < 9

    Correct Answer
    A. B > -9
    Explanation
    The inequality 4b > -36 can be solved by dividing both sides of the inequality by 4. This gives us b > -9, which means that b is greater than -9. Therefore, the correct answer is b > -9.

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  • 18. 

    Twice a number is 4 more than the number.  Choose the equation to find the unknown; then solve.

    • 2x + 4 = x; x = -4

    • 2x + x = 4; x = 4/3

    • 2x = x + 4; x = 4

    • 2x = x + 4; x = -2

    Correct Answer
    A. 2x = x + 4; x = 4
    Explanation
    The equation 2x = x + 4 is the correct equation to find the unknown. This is because the problem states that twice a number is 4 more than the number. By setting up the equation 2x = x + 4, we are saying that twice the number (2x) is equal to the number (x) plus 4. Solving this equation, we find that x = 4, which satisfies the given condition.

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  • 19. 

    Charles and Betty spent more than $230 while shopping.  Betty spent $138.  Choose the inequality that shows what Charles spent.

    • C > $108

    • C < $92

    • C = $92

    • C > $92

    Correct Answer
    A. C > $92
    Explanation
    Based on the information given, Betty spent $138, which means that the total amount spent by both Charles and Betty is greater than $230. Since Charles spent an amount greater than $92, the correct inequality is c > $92.

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  • 20. 

    Solve.   d > 3           -7

    • D > -21

    • D < 21

    • D < -21

    • D > 21

    Correct Answer
    A. D < -21
    Explanation
    The inequality d > 3 indicates that d is greater than 3. The inequality d < -21 means that d is less than -21. Therefore, the correct answer is d < -21, as it aligns with the given information.

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  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 09, 2013
    Quiz Created by
    Hawaiiwanda
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