Year 8 - Maths
Brackets in 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 appreciate the significance of the bracket in an equation.
Key Notes
- Multiplying both sides of an equation by the same term can be shown using brackets.
- An expression involving brackets can be expanded.
- Equations involving brackets can be expressed in words.
- Equations involving brackets can be represented using bar models.
Vocabulary To Learn
- Equation: An equation is used to show two expressions that are equal to each other.
Common Mistakes To Avoid
- That "$$x$$ times five, plus three" is the same as "$$x$$ plus three, times five".
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiplying both sides of an equation by the same term can be shown using brackets. An expression involving brackets can be expanded.
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 "$$x$$ times five, plus three" is the same as "$$x$$ plus three, times five". Correction: Use visual representations to demonstrate why and how they are different. Use algebra tiles if you have them, or get pupils to draw them.
More Lessons In This Unit
- 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
- Solving two step linear equations Study Guide
Browse all guides in the Year 8 Maths guide library.