Two Step In Equalities Quiz

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| By Soffe1399

Soffe1399

Community Contributor

Quizzes Created: 21 | Total Attempts: 36,259

Questions: 8 | Attempts: 527 | Updated: Mar 21, 2023

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Two step inequalities can be a bit tricky to work out. This quiz gives you examples of these kinds of problems which are perfect for you if you need practice solving them.

Questions and Answers

1.

-4(-4+x)>56
- A.
  
  X
- B.
  
  X>5
- C.
  
  X>3
- D.
  
  X>9
Correct Answer
A. X

Explanation
The given inequality is -4(-4+x) > 56. To solve this inequality, we first distribute the -4, resulting in 16-4x > 56. Next, we subtract 16 from both sides, giving -4x > 40. To isolate x, we divide both sides by -4, but since we are dividing by a negative number, the inequality sign flips. Thus, x < -10. However, none of the answer choices match this solution. Therefore, the correct answer cannot be determined based on the given information.

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1
0
2.

-11x-4>-15
- A.
  
  X
- B.
  
  X>3
- C.
  
  X>5
- D.
  
  X>7
Correct Answer
A. X
3.

-b-2>8
- A.
  
  B>10
- B.
  
  B
- C.
  
  B>4
- D.
  
  B>8
Correct Answer
B. B

Explanation
The given inequality is -b-2>8. To solve this inequality, we need to isolate the variable b. First, we can add 2 to both sides of the inequality, which gives us -b>10. Then, we multiply both sides of the inequality by -1 to flip the inequality sign, which gives us b

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0
1
4.

-4 (3+n)>-32
- A.
  
  N
- B.
  
  N>6
- C.
  
  N>10
- D.
  
  N>8
Correct Answer
A. N
5.

-132> 12(n+9)
- A.
  
  N>20
- B.
  
  N
- C.
  
  N>-13
- D.
  
  N>-2
Correct Answer
B. N

Explanation
The given inequality is -132 > 12(n+9). To solve this inequality, we need to isolate the variable n. We can start by dividing both sides of the inequality by 12, which gives us -11 > n + 9. Next, we can subtract 9 from both sides to get -20 > n. Rearranging the inequality, we have n < -20. However, the answer provided is n > -20, which is incorrect. Therefore, the given answer is incorrect and the correct answer should be n < -20.

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0
1
6.

7n-1>-169
- A.
  
  N>-24
- B.
  
  N
- C.
  
  N
- D.
  
  N
Correct Answer
A. N>-24

Explanation
The given inequality is 7n-1>-169. To solve this inequality, we add 1 to both sides to isolate the variable: 7n>-168. Then, we divide both sides by 7 to solve for n: n>-24. Therefore, the correct answer is n>-24.

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7.

60>5-5n
- A.
  
  N>-11
- B.
  
  N
- C.
  
  N
- D.
  
  N
Correct Answer
A. N>-11

Explanation
The given inequality is 60 > 5-5n. To solve this inequality, we need to isolate the variable n. First, we can simplify the right side of the inequality by combining like terms, which gives us 60 > -5n. Next, we can divide both sides of the inequality by -5, but we need to reverse the inequality sign since we are dividing by a negative number. This gives us -12 < n. However, in the answer, it is stated as n > -11. This is incorrect, as the correct answer should be n > -12.

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8.

4> (a+1)/2
- A.
  
  A
- B.
  
  A>7
- C.
  
  A>10
- D.
  
  A>15
Correct Answer
A. A

Explanation
The given inequality states that 4 is greater than the quantity (a+1) divided by 2. To solve this inequality, we can multiply both sides by 2 to eliminate the fraction, resulting in 8 > a + 1. By subtracting 1 from both sides, we get 7 > a. Therefore, the correct answer is a > 7, meaning that a must be greater than 7 in order for the inequality to hold true.

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