AlgebraKey Facts

What Can We Solve Graphically?

Part of Graphical Solutions · GCSE GCSE Mathematics revision

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. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 2 of 10 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 10

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

9 questions on Graphical Solutions — practise free

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