Year 8 - Maths
Solving simple linear equations with a multiplicative step
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 a linear equation requiring a single multiplicative step.
Key Notes
- An equation involving an multiplicative step can be represented with a bar model.
- Using the bar model you can write all the arrangements of the equation with an multiplicative step.
- One of the arrangements will give the solution to the equation.
- This can be written algebraically to find the solution.
Vocabulary To Learn
- Reciprocal: The reciprocal is the multiplicative inverse of any non-zero number.
Common Mistakes To Avoid
- When solving equations pupils may not use the inverse operation.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An equation involving an multiplicative step can be represented with a bar model. Using the bar model you can write all the arrangements of the equation with an multiplicative step.
2. Use this key word in a maths sentence and explain it clearly. 'Reciprocal'
The reciprocal is the multiplicative inverse of any non-zero number. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When solving equations pupils may not use the inverse operation. Correction: Working out should include each step then pupils can check each step using substitution.
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 an additive step Study Guide
- Solving two step linear equations Study Guide
Browse all guides in the Year 8 Maths guide library.