Year 8 - Maths
Solving two step linear 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 see that when an additive step and a multiplicative step are required to solve an equation, the order of operations will not affect the solution.
Key Notes
- When an equation is in the form Ax + B = C you can solve by first subtracting B from both sides.
- When an equation is in the form Ax + B = C you can solve by first dividing both sides by A.
- These two options give the same solution.
- In any particular situation one way may be more efficient than the other and it useful to think carefully about this.
Vocabulary To Learn
- Equation: An equation is used to show two expressions that are equal to each other.
Common Mistakes To Avoid
- That there is only one way to solve any given equation.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When an equation is in the form Ax + B = C you can solve by first subtracting B from both sides. When an equation is in the form Ax + B = C you can solve by first dividing both sides by A.
2. Use this key word in a maths sentence and explain it clearly. 'Equation'
An equation is used to show two expressions that are equal to each other. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: That there is only one way to solve any given equation. Correction: In maths we will often see multiple ways to solve the same one problem. To be able to use multiple methods is a demonstration of fluency.
More Lessons In This Unit
- Brackets in equations Study Guide
- Checking understanding of algebraic notation Study Guide
- Different types of equations 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
Browse all guides in the Year 8 Maths guide library.