Identifying Solutions to a One-Step Linear Inequality Online Quiz
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Q 1 - Identify the correct solution to the following one-step linear inequality.
15 > x + 6
Answer : D
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
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Q 2 - Identify the correct solution to the following one-step linear inequality.
$\mathbf{\frac{x}{2}}$ < 8
Answer : A
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
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Q 3 - Identify the correct solution to the following one-step linear inequality
x + 8 > 14
Answer : D
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
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Q 4 - Identify the correct solution to the following one-step linear inequality
27 ≥ 9x
Answer : C
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
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Q 5 - Identify the correct solution to the following one-step linear inequality
7x ≤ 35
Answer : B
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
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Q 6 - Identify the correct solution to the following one-step linear inequality
x – 2 < 9
Answer : B
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
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Q 7 - Identify the correct solution to the following one-step linear inequality
2x ≥ 13
Answer : B
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
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Q 8 - Identify the correct solution to the following one-step linear inequality
3x ≤ 12
Answer : D
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
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Q 9 - Identify the correct solution to the following one-step linear inequality
$\mathbf{\frac{x}{3}}$ < 7
Answer : A
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
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Q 10 - Identify the correct solution to the following one-step linear inequality
5 > $\mathbf{\frac{x}{6}}$
Answer : B
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
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identifying_solutions_to_one_step_linear_inequality.htm
