Year 8 - Maths
Solving linear equations graphically using technology
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 explore how to solve linear equations graphically via dynamic software.
Key Notes
- A linear expression expressed on a graph represents a straight line.
- This line can be used to find one variable when given the other.
- A horizontal or vertical line represents a particular value of a variable.
- Where this meets the linear graph the solution of a linear equation.
Vocabulary To Learn
- Equation: An equation is used to show two expressions that are equal to each other.
- Solution: The solution to an equality is the value which, when substituted, maintains the equality between expressions.
Common Mistakes To Avoid
- That we always have to use written methods to solve equations.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A linear expression expressed on a graph represents a straight line. This line can be used to find one variable when given the other.
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 we always have to use written methods to solve equations. Correction: Use Desmos to show that equations like $$3x-1=17$$ and $$3x-1=x+9$$ can be solved by drawing both lines and finding the intersection.
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 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.