# Two Step In Equalities Quiz

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| By Soffe1399
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Soffe1399
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Quizzes Created: 21 | Total Attempts: 37,507
Questions: 8 | Attempts: 527

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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.

• 1.

### -4(-4+x)>56

• A.

X

• B.

X>5

• C.

X>3

• D.

X>9

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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• 2.

• A.

X

• B.

X>3

• C.

X>5

• D.

X>7

A. X
• 3.

### -b-2>8

• A.

B>10

• B.

B

• C.

B>4

• D.

B>8

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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• 4.

• A.

N

• B.

N>6

• C.

N>10

• D.

N>8

A. N
• 5.

### -132> 12(n+9)

• A.

N>20

• B.

N

• C.

N>-13

• D.

N>-2

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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• 6.

### 7n-1>-169

• A.

N>-24

• B.

N

• C.

N

• D.

N

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

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

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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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Mar 28, 2016
Quiz Created by
Soffe1399

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