Solving One Step Inequalites
-
X / 9 > 10
-
X < 90
-
X > 90
-
X > 1.11
-
X > 10
-
This quiz focuses on solving one-step inequalities involving division. It assesses the ability to solve inequalities where the variable is divided by both positive and negative numbers, crucial for understanding algebraic concepts.
Quiz Preview
- 2.
X / 6 > 7
-
X > 42
-
X > 7
-
X > 1.17
-
X < 42
Correct Answer
A. X > 42Explanation
The given inequality states that x divided by 6 is greater than 7. To solve this inequality, we can multiply both sides of the inequality by 6 to isolate x. This gives us x > 42, which means that x is greater than 42. Therefore, the correct answer is x > 42.Rate this question:
-
- 3.
X / -3 > 2
-
X > -6
-
X < 2
-
X < -6
-
X > -0.67
Correct Answer
A. X < -6Explanation
The given inequality states that x divided by -3 is greater than 2. To solve this inequality, we can multiply both sides by -3, but since we are multiplying by a negative number, the inequality sign will flip. This gives us x < -6, which means that x is less than -6. Therefore, the correct answer is x < -6.Rate this question:
-
- 4.
X / -3 > -8
-
X < -8
-
X > 2.67
-
X > 24
-
X < 24
Correct Answer
A. X < 24Explanation
The given inequality states that x divided by -3 is greater than -8. To solve this inequality, we can multiply both sides by -3, which reverses the inequality sign. Therefore, we get x is less than 24. This means that any value of x that is less than 24 will satisfy the inequality.Rate this question:
-
- 5.
X / -5 > -3
-
X < 15
-
X < 0.60
-
X > -3
-
X > 15
Correct Answer
A. X < 15Explanation
The given inequality states that x divided by -5 is greater than -3. To solve this inequality, we can multiply both sides by -5 to get x by itself. When we multiply both sides by -5, we need to reverse the inequality sign. So, x is less than 15, which means the correct answer is x < 15.Rate this question:
-
- 6.
X / 10 > 3
-
X > 0.30
-
X < 30
-
X > 3
-
X > 30
Correct Answer
A. X > 30Explanation
The correct answer is x > 30 because if we divide both sides of the inequality x / 10 > 3 by 10, we get x > 30. This means that x must be greater than 30 in order for the inequality to be true.Rate this question:
-
- 7.
X / 9 > 9
-
X > 1
-
X > 81
-
X > 9
-
X < 81
Correct Answer
A. X > 81Explanation
The given inequality states that x divided by 9 is greater than 9. To solve this inequality, we can multiply both sides of the inequality by 9, which gives us x is greater than 81. Therefore, the correct answer is x > 81.Rate this question:
-
- 8.
When you multiply both sides of any inequality by a negative number, you need to ________ the inequality symbol.
Correct Answer
flipExplanation
When you multiply both sides of any inequality by a negative number, you need to flip the inequality symbol. This is because multiplying by a negative number reverses the order of the numbers. For example, if we have the inequality 3 > 2 and we multiply both sides by -1, we get -3 < -2. So, in order to maintain the correct order of the numbers, we need to flip the inequality symbol.Rate this question:
- 9.
Solve: y - 16 < 12
-
Y < -28
-
Y > 28
-
Y < 28
Correct Answer
A. Y < 28Explanation
The given inequality is y - 16 < 12. To solve this inequality, we can add 16 to both sides to isolate the variable y. This gives us y < 28, which means that y is less than 28. Therefore, the correct answer is y < 28.Rate this question:
-
- 10.
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 > 35Explanation
The correct answer is n - 14 > 35. This inequality represents the statement "a number minus 14 is more than 35." By subtracting 14 from a number (n) and setting it greater than 35, we are expressing that the result of the subtraction is greater than 35.Rate this question:
-
- 11.
Write an inequality for "six times a number is at most 91."
-
6k ≤ 91
-
6k ≥ 91
-
6k < 91
-
6k > 91
Correct Answer
A. 6k ≤ 91Explanation
The inequality 6k ≤ 91 represents the statement "six times a number is at most 91." This means that when the number is multiplied by 6, the result is less than or equal to 91.Rate this question:
-
- 12.
Solve. x - (-4) < 12
-
X < 8
-
X < 16
-
X > 8
-
X > 16
Correct Answer
A. X < 8Explanation
The given inequality is x - (-4) < 12. Simplifying this, we get x + 4 < 12. Subtracting 4 from both sides, we have x < 8. Therefore, the correct answer is x < 8.Rate this question:
-
- 13.
Solve. y - (-3) > -16
-
Y < -13
-
Y < -19
-
Y > -19
-
Y > -13
Correct Answer
A. Y > -19Explanation
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:
-
- 14.
Solve. z - 5 ≥ 11
-
Z ≥ 6
-
Z ≥ 16
-
Z ≤ 16
-
Z ≥ -6
Correct Answer
A. Z ≥ 16Explanation
The inequality z - 5 ≥ 11 can be solved by adding 5 to both sides of the inequality, resulting in z ≥ 16. This means that any value of z that is greater than or equal to 16 satisfies the inequality.Rate this question:
-
- 15.
Solve. 6x > 12
-
X > -2
-
X > -6
-
X > 2
-
X > 18
Correct Answer
A. X > 2Explanation
The given inequality is 6x > 12. To solve for x, we divide both sides of the inequality by 6, resulting in x > 2. This means that any value of x that is greater than 2 will satisfy the inequality.Rate this question:
-
- 16.
Solve. 4b > -36
-
B > -9
-
B < -9
-
B > 9
-
B < 9
Correct Answer
A. B > -9Explanation
The given inequality is 4b > -36. To solve this inequality, we divide both sides by 4 (since it is a positive number), giving us b > -9. This means that b is greater than -9.Rate this question:
-
- 17.
Solve. -5k ≤ 20
-
K ≤ -4
-
K ≥ 4
-
K ≤ 4
-
K ≥ -4
Correct Answer
A. K ≥ -4Explanation
The given inequality states that -5k is less than or equal to 20. To solve for k, we need to isolate it on one side of the inequality. By dividing both sides of the inequality by -5, we get k greater than or equal to -4. Therefore, the correct answer is k ≥ -4.Rate this question:
-
- 18.
X / -9 > 4
-
X > -36
-
X < 4
-
X > -0.44
-
X < -36
Correct Answer
A. X < 4Explanation
Let's solve the inequality step by step:Start with �−9>4−9x>4.Multiply both sides by -9. Since we're multiplying by a negative number, the direction of the inequality sign flips.
�<4x<4Rate this question:
-
Quiz Review Timeline (Updated): Mar 1, 2024 +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Mar 01, 2024Quiz Edited by
ProProfs Editorial Team -
Nov 20, 2014Quiz Created by
Philip Benanti
Back to top