𝑥 Algebra

Solving graphically

Learn solving graphically with a GCSE-style explanation, help guide, worked example, practice question and flashcards.

GraphsGCSE25 XP completion3 flashcards

Global XP

Level 1

0 / 100 XP

1. Explanation

Key idea

Solving graphically is part of graphs and appears often in KS3–GCSE maths.
Solving graphically means reading intersections from a graph.
Use the worked model, help guide, interactive question and flashcards to practise solving graphically until the steps feel automatic.

Shopping, sport, travel, science, design and everyday decisions all use this skill.

2. Visual

Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.

3. Help guide

Learn the rule: Solving graphically means reading intersections from a graph.
Worked model: Draw both graphs accurately. Find their intersection. Read the coordinates from the axes.
Try the interactive question without looking at the answer first.
Use the flashcards to test the rule, the method and a common check.

4. Worked examples

Answer: Intersections at x = -1 and x = 3 give two solutions

5. Interactive questions

6. Flashcards

Flip each card, then choose whether you know it or need more practice.

0 mastered

FrontRule for Solving graphically

BackSolving graphically means reading intersections from a graph.

FrontExample answer: If two graphs meet at x = 2, what is the solution?

BackThe x-coordinate of the intersection gives the solution, so x = 2.

FrontCommon check for Solving graphically

BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.

7. Finish

When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.