Multi Step Inequalities Quiz
When it comes to Mathematics, the proverb,' practice makes perfect', indeed makes sense. There is always no shortcut when it comes to Math. Take up the quiz below to practice your way to perfection on inequalities.
- 1.
1) 3x - 7 < 22) 2x - 5 > x - 23) 2 - 5x > 3x - 144) 2(y + 1) < y - 45) -2x + 5 > 176) 4(x + 3) < 3x + 107) 3x - 4 < 2
- 2.
Solve. 5x - 10 > 20
- A.
X < 6
- B.
X > 2
- C.
X < 2
- D.
X > 6
Correct Answer
D. X > 6Explanation
The given inequality is 5x - 10 > 20. To solve this, we can start by adding 10 to both sides of the inequality, which gives us 5x > 30. Then, we can divide both sides of the inequality by 5, resulting in x > 6. Therefore, the correct answer is x > 6.Rate this question:
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- 3.
Solve. -7p - 5 < -33
- A.
P > -4
- B.
P < 5.14
- C.
P > 4
- D.
P < 5
Correct Answer
C. P > 4Explanation
The given inequality is -7p - 5 < -33. To solve this inequality, we can start by adding 5 to both sides to isolate the variable. This gives us -7p < -28. Next, we divide both sides by -7, remembering to reverse the inequality sign since we are dividing by a negative number. This gives us p > 4. Therefore, the correct answer is p > 4.Rate this question:
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- 4.
Solve. x - 6 < 9 2
- A.
X < -30
- B.
X < 30
- C.
X > 30
- D.
X > -30
Correct Answer
B. X < 30Explanation
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 to isolate x. This gives us x is less than 15. Therefore, the correct answer is x is less than 30.Rate this question:
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- 5.
Solve for x:4x - 1 > 15
- A.
X > 4
- B.
X > -4
- C.
X < 4
Correct Answer
A. X > 4Explanation
To solve the inequality 4x - 1 > 15, we need to isolate the variable x. Adding 1 to both sides of the inequality, we have 4x > 16. Then, dividing both sides by 4, we get x > 4. This means that any value of x greater than 4 will satisfy the inequality.Rate this question:
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- 6.
Solve for x:-2x + 6 ≤ 20
- A.
X ≤ -7
- B.
X ≥ -7
- C.
X ≥ 7
Correct Answer
B. X ≥ -7Explanation
The given inequality is -2x + 6 ≤ 20. To solve for x, we need to isolate x on one side of the inequality. Subtracting 6 from both sides, we get -2x ≤ 14. Dividing both sides by -2, we have x ≥ -7. Therefore, the correct answer is x ≥ -7.Rate this question:
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- 7.
Which answer represents the graph above?
- A.
X > 3
- B.
X ≤ 3
- C.
X ≥ 3
Correct Answer
C. X ≥ 3Explanation
The graph above represents all the values of x that are greater than or equal to 3. This is indicated by the line on the graph being solid and not dashed. The inequality x ≥ 3 means that x can be any value that is equal to or greater than 3.Rate this question:
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Current Version
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Aug 13, 2024Quiz Edited by
ProProfs Editorial Team -
Dec 03, 2014Quiz Created by
Philip Benanti