- Writing, Graphing and Solving Inequalities
- Home
- Translating a Sentence by Using an Inequality Symbol
- Translating a Sentence into a One-Step Inequality
- Introduction to Identifying Solutions to an Inequality
- Writing an Inequality for a Real-World Situation
- Graphing a Linear Inequality on the Number Line
- Writing an Inequality Given a Graph on the Number Line
- Identifying Solutions to a One-Step Linear Inequality
- Additive Property of Inequality with Whole Numbers
- Multiplicative Property of Inequality with Whole Numbers
- Solving a Two-Step Linear Inequality with Whole Numbers
- Solving a Word Problem Using a One-Step Linear Inequality
Solving a Two-Step Linear Inequality with Whole Numbers Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Solving a Two-Step Linear Inequality with Whole Numbers. 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.
Answer : A
Explanation
Step 1:
Given 3x + 6 > 15; Subtracting 6 from both sides
3x + 6 − 6 > 15 − 6; 3x > 9
Step 2:
Dividing both sides by 3 we get
$\frac{3x}{3}$ > $\frac{9}{3}$; x > 3
Step 3:
So, solution for the given two-step linear inequality is x > 3
Answer : D
Explanation
Step 1:
Given 8 – 4x ≥ 12 ; Subtracting 8 from both sides
8 – 4x −8 ≥ 12 − 8; −4x ≥ 4
Step 2:
Dividing both sides by −4 and flipping the sign
$\frac{−4x}{−4}$ ≥ $\frac{4}{−4}$; x ≤ −1
Step 3:
So, solution for the given two-step linear inequality is x ≤ −1
Answer : B
Explanation
Step 1:
Given 5y + 1 > 11; Subtracting 1 from both sides
5y + 1 −1 > 11 – 1; 5y > 10
Step 2:
Dividing both sides by 5
$\frac{5y}{5}$ > $\frac{10}{5}$; y > 2
Step 3:
So, solution for the given two-step linear inequality is y > 2
Answer : C
Explanation
Step 1:
Given 3w + 8 < 29; Subtracting 8 from both sides
3w + 8 − 8 < 29 – 8; 3w < 2
Step 2:
Dividing both sides by 3
$\frac{3w}{3}$ < $\frac{21}{3}$; w < 7
Step 3:
So, solution for the given two-step linear inequality is w < 7
Answer : B
Explanation
Step 1:
Given 4 < 4x + 12; Subtracting 12 from both sides
4 −12 < 4x + 12 – 12; −8 < 4x
Step 2:
Dividing both sides by 4
$\frac{−8}{4}$ < $\frac{4x}{4}$; −2 < x
Step 3:
So, solution for the given two-step linear inequality is x > −2
Answer : C
Explanation
Step 1:
Given $\frac{x}{3}$ −4 < −3;
Adding 4 to both sides
$\frac{x}{3}$ −4 + 4 < −3 + 4; $\frac{x}{3}$ < 1
Step 2:
Multiplying both sides by 3
$\frac{x}{3}$ × 3 < 1 × 3; x < 3
Step 3:
So, solution for the given two-step linear inequality is x < 3
Answer : A
Explanation
Step 1:
Given $\frac{−x}{2}$ −5 > 2;
Adding 5 to both sides
$\frac{−x}{2}$ −5 + 5 > 2 + 5; $\frac{−x}{2}$ > 7
Step 2:
Multiplying both sides by 2
$\frac{−x}{2}$ × 2 > 7 × 2; −x > 14; x < −14
Step 3:
So, solution for the given two-step linear inequality is x < −14
Answer : D
Explanation
Step 1:
Given −5 ≤ 3 − 4x;
Subtracting 3 from both sides
−5 −3 ≤ 3 − 4x −3; −8 ≤ −4x
Step 2:
Dividing both sides by −4 and flipping sign
$\frac{−8}{−4}$ ≥ $\frac{−4x}{−4}$; 2 > x; x < 2
Step 3:
So, solution for the given two-step linear inequality is x ≤ 2
Answer : C
Explanation
Step 1:
Given 5y + 6 ≤ 36;
Subtracting 6 from both sides
5y + 6 −6 ≤ 36 – 6; 5y ≤ 30;
Step 2:
Dividing both sides by 5
$\frac{5y}{5}$ ≤ $\frac{30}{5}$; y ≤ 6
Step 3:
So, solution for the given two-step linear inequality is y ≤ 6
Answer : B
Explanation
Step 1:
Given 4 ≤ $\frac{z}{2}$ − 1;
Adding 1 to both sides
4 + 1 ≤ $\frac{z}{2}$ – 1 + 1; 5 ≤ $\frac{z}{2}$
Step 2:
Multiplying both sides by 2
5 × 2 ≤ $\frac{z}{2}$ × 2; 10 ≤ z; z ≥ 10
Step 3:
So, solution for the given two-step linear inequality is z ≥ 10