Year 8 - Maths
Solving complex linear equations involving brackets
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 solve equations involving brackets where simplification is necessary first.
Key Notes
- Brackets where an expression is multiplied by a term can be expanded.
- Like terms can then be collected so the equation is in a form that can be solved.
- Multiple identical expressions can be collected together to simplify an equation.
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.
Brackets where an expression is multiplied by a term can be expanded. Like terms can then be collected so the equation is in a form that can be solved.
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 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.