AlgebraKey Facts

What Can We Solve Graphically?

Part of Graphical SolutionsGCSE Mathematics

This key facts covers What Can We Solve Graphically? within Graphical Solutions for GCSE Mathematics. 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 be a useful differentiator on mixed-topic papers. It is section 2 of 9 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 9

Practice

9 questions

Recall

6 flashcards

What Can We Solve Graphically?

Equation Type Graph Intersection Solution Method
Linear Equation
2x - 3 = 0
Line crosses x-axis Find x-intercept
Simultaneous Linear
y = 2x + 1
y = -x + 4
Two lines intersect Find crossing point coordinates
Quadratic Equation
x² - 3x - 4 = 0
Parabola crosses x-axis Find x-intercepts (roots)
Inequalities
y ≥ 2x + 1
Region above/below line Identify solution region

Keep building this topic

Read this section alongside the surrounding pages in Graphical Solutions. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Graphical Solutions

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

Quick Recall Flashcards

Intersection Point
The point where two graphs cross - this gives x and y values that satisfy both equations
Graphical Solution
Finding where two graphs intersect gives the solution to simultaneous equations

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