# Identifying Solutions to a One-Step Linear Inequality Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Identifying Solutions to a One-Step Linear Inequality. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - Identify the correct solution to the following one-step linear inequality.

15 > x + 6

### Explanation

Step 1:

Plugging in 11, we get 15 > 11 + 6; 15 > 17; wrong

Plugging in 10, we get 15 > 10 + 6; 15 > 16; wrong

Plugging in 9, we get 15 > 9 + 6; 15 > 15; wrong

Plugging in 8, we get 15 > 8 + 6; 15 > 14; correct

Step 2:

So, the correct solution is 8

Q 2 - Identify the correct solution to the following one-step linear inequality.

$\mathbf{\frac{x}{2}}$ < 8

### Explanation

Step 1:

$\frac{x}{2}$ < 8; x < 2 × 8; x < 16

Plugging in 15, we get 15 < 16; correct

Plugging in 16, we get 16 < 16; wrong

Plugging in 17, we get 17 < 16; wrong

Plugging in 18, we get 18 < 16; wrong

Step 2:

So, the correct solution is 15

Q 3 - Identify the correct solution to the following one-step linear inequality

x + 8 > 14

### Explanation

Step 1:

x + 8 > 14; x > 14 − 8; x > 6

Plugging in 5, we get 5 > 6; wrong

Plugging in 6, we get 6 > 6; wrong

Plugging in 4, we get 4 > 6; wrong

Plugging in 7, we get 7 > 6; correct

Step 2:

So, the correct solution is 7

Q 4 - Identify the correct solution to the following one-step linear inequality

27 ≥ 9x

### Explanation

Step 1:

27 ≥ 9x

Plugging in 4, we get 27 ≥ 9×4; 27 ≥ 36; wrong

Plugging in 5, we get 27 ≥ 9×5; 27 ≥ 45; wrong

Plugging in 3, we get 27 ≥ 9×3; 27 ≥ 27; correct

Plugging in 6, we get 27 ≥ 9×6; 27 ≥ 54; wrong

Step 2:

So, the correct solution is 3

Q 5 - Identify the correct solution to the following one-step linear inequality

7x ≤ 35

### Explanation

Step 1:

7x ≤ 35

Plugging in 8, we get 7×8 ≤ 35; 56 ≤ 35; wrong

Plugging in 5, we get 7×5 ≤ 35; 35 ≤ 35; correct

Plugging in 6, we get 7×6 ≤ 35; 42 ≤ 35; wrong

Plugging in 7, we get 7×7 ≤ 35; 49 ≤ 35; wrong

Step 2:

So, the correct solution is 5

Q 6 - Identify the correct solution to the following one-step linear inequality

x – 2 < 9

### Explanation

Step 1:

x – 2 < 9; x −2 + 2 < 9 + 2; x < 11

Plugging in 13, we get 13 < 11; wrong

Plugging in 10, we get 10 < 11; correct

Plugging in 11, we get 11 < 11; wrong

Plugging in 15, we get 15 < 11; wrong

Step 2:

So, the correct solution is 10

Q 7 - Identify the correct solution to the following one-step linear inequality

2x ≥ 13

### Explanation

Step 1:

2x ≥ 13

Plugging in 5, we get 2×5 ≥ 13; 10 ≥ 13; wrong

Plugging in 7, we get 2×7 ≥ 13; 14 ≥ 13; correct

Plugging in 4, we get 2×4 ≥ 13; 8 ≥ 13; wrong

Plugging in 3, we get 2×3 ≥ 13; 6 ≥ 13; wrong

Step 2:

So, the correct solution is 7

Q 8 - Identify the correct solution to the following one-step linear inequality

3x ≤ 12

### Explanation

Step 1:

3x ≤ 12

Plugging in 7, we get 3×7 ≤ 12; 21 ≤ 12; wrong

Plugging in 6, we get 3×6 ≤ 12; 18 ≤ 12; wrong

Plugging in 5, we get 3×5 ≤ 12; 15 ≤ 12; wrong

Plugging in 3, we get 3×3 ≤ 12; 9 ≤ 12; correct

Step 2:

So, the correct solution is 3

Q 9 - Identify the correct solution to the following one-step linear inequality

$\mathbf{\frac{x}{3}}$ < 7

### Explanation

Step 1:

$\frac{x}{3}$ < 7; x < 3 × 7; x < 21

Plugging in 20, we get 20 < 21; correct

Plugging in 21, we get 21 < 21; wrong

Plugging in 23, we get 23 < 21; wrong

Plugging in 22, we get 22 < 21; wrong

Step 2:

So, the correct solution is 20

Q 10 - Identify the correct solution to the following one-step linear inequality

5 > $\mathbf{\frac{x}{6}}$

### Explanation

Step 1:

5 > $\frac{x}{6}$; 5 × 6 > x; 30 > x; x < 30

Plugging in 33, we get 33 < 30; wrong

Plugging in 29, we get 29 < 30; correct

Plugging in 30, we get 30 < 30; wrong

Plugging in 32, we get 32 < 30; wrong

Step 2:

So, the correct solution is 29

identifying_solutions_to_one_step_linear_inequality.htm