Mastering Inequalities
Mathematics
Grade 6
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About This Worksheet
A worksheet covering inequalities in algebra for Grade 6 students, including basic understanding and application questions.
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Mastering Inequalities
Subject: MathematicsGrade: Grade 6
Name:
Date:
Untitled Worksheet
Grade Grade 6
A
Introduction
Review the basic concept of inequalities: an inequality compares two expressions using symbols like <, >, ≤, ≥. Remember that solving an inequality is similar to solving an equation, but you must consider the direction of the inequality when multiplying or dividing by negative numbers.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: x + 3 > 7
[1 mark]2.
Solve for y: 2y ≤ 10
[1 mark]3.
Solve for z: -4z > 12
[1 mark]4.
Which of the following is true if x = 3? x + 2 ≥ 5
[1 mark]ATrue
BFalse
5.
Evaluate whether 5 - x > 2 when x = 2.
[1 mark]AYes
BNo
6.
Solve for a: 3a + 4 < 13
[1 mark]7.
If x - 5 ≤ 0, what is the range of possible values for x?
[2 marks]8.
Determine whether the inequality 2( x + 1 ) > 4 is true for x = 1.
[1 mark]ATrue
BFalse
9.
Reasoning: If x < 2 and y > 3, which of the following inequalities could be true?
[2 marks]10.
Challenge: A rectangular garden's length is greater than its width. The perimeter is less than 40 meters. If the length is represented as L and the width as W, write an inequality involving L and W, and provide an example of values that satisfy it.
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet