AlgebraHigh Exam FrequencyAQAEdexcelOCRWJEC

Linear Inequalities

Revise Linear Inequalities in Algebra for GCSE Mathematics with 14 exam-style questions and 11 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

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Not Just Equals!

Introduction 2

The Four Inequality Symbols

Key Facts 3

Solving Inequalities (Like Equations!)

Deep Dive 4

Worked Example 1: Simple Inequality

Notes 5

Worked Example 2: Negative Coefficient (FLIP!)

Notes 6

Worked Example 3: Compound Inequality

Notes 7

Common Mistakes to Avoid

Exam Tips 8

Knowledge Organiser: Linear Inequalities

Summary

Sample Flashcards

The Flip Rule for inequalities

When you multiply or divide BOTH sides by a NEGATIVE number, you MUST reverse (flip) the inequality sign. Example: -2x > 6 becomes x < -3

Open vs Closed Circle on a number line

Open circle (hollow) for < and > — endpoint NOT included. Closed circle (filled) for ≤ and ≥ — endpoint IS included.

Exam questions for Linear Inequalities

Which of the following correctly describes how to represent x > 3 on a number line?

A. A closed (filled) circle at 3, with an arrow pointing to the right
B. An open (empty) circle at 3, with an arrow pointing to the right
C. An open (empty) circle at 3, with an arrow pointing to the left
D. A closed (filled) circle at 3, with an arrow pointing to the left

1 markfoundation

When solving an inequality, the direction of the inequality sign must reverse if you multiply or divide both sides by a negative number. Explain why this rule is necessary. You may use an example to support your explanation.

2 marksstandard

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