Year 8 - Maths
Checking understanding of algebraic notation
Solving linear equations
Study Hub
Study Guides
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 represent situations using algebra.
Key Notes
- Missing numbers can be found in context.
- Missing number problems can be expressed algebraically.
- Pairs of numbers that satisfy an equation with two unknowns can be found.
- Real life situations can be expressed using algebra.
Vocabulary To Learn
- Integer: An integer is any positive or negative whole number or zero
- Expression: An expression contains one or more terms, where each term is separated by an operator.
- Equation: An equation is used to show 2 expressions that are equal to each other.
Common Mistakes To Avoid
- When converting English to algebra, pupils can mix up 4x + 2 and 4(x + 2)
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Missing numbers can be found in context. Missing number problems can be expressed algebraically.
2. Use this key word in a maths sentence and explain it clearly. 'Integer'
An integer is any positive or negative whole number or zero. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When converting English to algebra, pupils can mix up 4x + 2 and 4(x + 2). Correction: Reviewing priority of operations and expanding brackets may be helpful. The multiplier operates on all terms in the bracket.
More Lessons In This Unit
- Brackets in equations 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.