Year 8 - Maths
Different types of equations
Solving linear equations
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will learn how to find a value that satisfies a linear relationship when one value is known both with a single step operation, and multiple step operations. A variety of cases are explored including using brackets and rearranging.
Lesson Summary
You will learn to recognise that there are many different types of equations of which linear is one type.
Key Notes
- An equation is a statement that two expressions are equal, indicated by =.
- Linear expressions can be represented by a straight line on a graph.
- Non-linear expressions can be identified from their graphical form.
- Equations can be grouped as linear or non-linear.
Vocabulary To Learn
- Gradient: The gradient is a measure of how steep a line is
- Expression: Expressions contain one or more terms, where each term is separated by an operator.
- Equation: An equation is used to show that one number or calculation is equal to another.
- Linear: The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Common Mistakes To Avoid
- Pupils may think all equations are for straight lines so can be plotted from 2 points.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An equation is a statement that two expressions are equal, indicated by =. Linear expressions can be represented by a straight line on a graph.
2. Use this key word in a maths sentence and explain it clearly. 'Gradient'
The gradient is a measure of how steep a line is. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may think all equations are for straight lines so can be plotted from 2 points. Correction: Explore different relationships, most relationships are not linear but we focus a lot on linear relationships and their unique structure.
More Lessons In This Unit
- Brackets in equations Study Guide
- Checking understanding of algebraic notation Study Guide
- Equality in an equation Study Guide
- Many equations, one solution Study Guide
- Preparing to solve two step linear equations Study Guide
- Problem solving with linear equations Study Guide
- Rearranging to solve linear equations Study Guide
- Securing understanding of equality Study Guide
- Solution to an equation Study Guide
- Solving complex linear equations Study Guide
- Solving complex linear equations involving brackets Study Guide
- Solving linear equations graphically using technology Study Guide
- Solving linear equations where brackets are used Study Guide
- Solving simple linear equations with a multiplicative step Study Guide
- Solving simple linear equations with an additive step Study Guide
- Solving two step linear equations Study Guide
Browse all guides in the Year 8 Maths guide library.