Year 8 - Maths
Preparing to solve 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 understand that an equation needs to be in a format to be ready to be solved, through collecting like terms on each side of the equation.
Key Notes
- An equation with both a multiplicative and additive step can be solved using a bar model.
- The solution can be formalised using algebra.
- Any linear equation written in the form Ax + B = C can be solved.
- Any linear equation can be written in the form Ax + B = C by collecting like terms.
Vocabulary To Learn
- Like terms: Like terms are terms that have the same set of variables and corresponding exponents
Common Mistakes To Avoid
- Pupils can be unsure which values to add and which to subtract when collecting like terms.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An equation with both a multiplicative and additive step can be solved using a bar model. The solution can be formalised using algebra.
2. Use this key word in a maths sentence and explain it clearly. 'Like terms'
Like terms are terms that have the same set of variables and corresponding exponents. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils can be unsure which values to add and which to subtract when collecting like terms. Correction: Rewrite the equation with like terms grouped together before combining like terms.
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
- 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.