Solving Inequalities Pre-Algebra Quiz! Trivia

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 Hawaiiwanda

Hawaiiwanda

Community Contributor

Quizzes Created: 1 | Total Attempts: 284

| Attempts: 284

Quiz Flashcard

Questions

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

1/20 Questions

Solve. 2m + 2 = 4m
- 2
- 0
- -2
- 1

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

2.

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.

Rate this question:
3.

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.

Rate this question:
4.

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.

Rate this question:
5.

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.

Rate this question:
6.

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.

Rate this question:
7.

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.

Rate this question:
8.

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.

Rate this question:
9.

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.

Rate this question:

1
10.

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.

Rate this question:
11.

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.

Rate this question:
12.

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.

Rate this question:
13.

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.

Rate this question:
14.

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.

Rate this question:
15.

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.

Rate this question:
16.

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.

Rate this question:
17.

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.

Rate this question:
18.

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.

Rate this question:
19.

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?

Correct Answer
180

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.

Rate this question:

3
20.

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

Correct Answer
225

Explanation
To find the number of miles traveled, we need to multiply the speed (50 miles per hour) by the time (4 1/2 hours). Multiplying 50 by 4 gives us 200, and multiplying 50 by 1/2 gives us 25. Adding these two results together, we get a total of 225 miles traveled.

Rate this question:

Quiz Review Timeline (Updated): Mar 22, 2023 +

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

Current Version
Mar 22, 2023

Quiz Edited by
ProProfs Editorial Team
Dec 09, 2013

Quiz Created by
Hawaiiwanda

Solving Inequalities Pre-algebra Quiz! Trivia

Solve. 2m + 2 = 4m

Quiz Preview

Solve. 13a + 12 = 8a -13

Solve. 16p + 7 = 2p - 7

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

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

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

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

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

Solve. x - (-4) < 12

Solve. y - (-3) > -16

Solve. z - 5 ≥ 11

Solve. 6x > 12

Solve. 4b > -36

Solve. -5k ≤ 20

Solve. d > 3 -7

Solve. 5x - 10 > 20

Solve. -7p - 5 < -33

Solve. x - 6 < 9 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?

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