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Graphical Solutions

Revise Graphical Solutions in Algebra for GCSE Mathematics with 9 exam-style questions and 6 flashcards. This topic appears less often, but it can still pick up marks when it appears in mixed-topic papers.

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Where Algebra Meets Graphs

Introduction 2

What Can We Solve Graphically?

Key Facts 3

Method 1: Solving Linear Equations Graphically

Deep Dive 4

Worked Example 1: Linear Equation

Notes 5

Method 2: Solving Simultaneous Equations Graphically

Deep Dive 6

Worked Example 2: Simultaneous Linear Equations

Notes 7

Method 4: Solving Inequalities Graphically

Deep Dive 8

Worked Example 4: Linear Inequality

Notes 9

Reading Solutions from Graphs

Exam Tips

Sample Flashcards

Graphical Solution

Finding where two graphs intersect gives the solution to simultaneous equations

Intersection Point

The point where two graphs cross - this gives x and y values that satisfy both equations

Sample Questions

A straight line y = 3x − 6 is plotted on a graph. Where does the solution to 3x − 6 = 0 appear on the graph?

A. Where the line crosses the y-axis
B. Where the line crosses the x-axis
C. At the origin
D. At the turning point of the line

1 markfoundation

A student tries to solve the simultaneous equations y = 3x + 2 and y = 3x − 5 graphically. Explain what they will see on the graph and what this means for the solution.

2 marksstandard

exam-style questions

revision flashcards

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