Last updated on Oct 23, 2026

Solving Equations Graphically (AQA A-Level Mathematics): Quizzes

Solving Equations Graphically

Practise the questions

10 questions from this quiz

Points where two functions intersect

x-coordinates where graphs intersect

$y = f(x)$ and $y = g(x)$

The solutions to the equation

$x = -2$ and $x = 3$

A parabola and a straight line

$x^3 - 5x - 2 = 0$

When intersection is between grid points

Graph $y = x + 2$ and $y = x^3 - 4x$

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Solving Equations Graphically (AQA A-Level Mathematics): Quizzes

Practise the questions

What does solving equations graphically involve finding?

What do the solutions to f(x)=g(x)f(x) = g(x)f(x)=g(x) represent graphically?

For equation f(x)=0f(x) = 0f(x)=0, where does the graph of y=f(x)y = f(x)y=f(x) cross?

To solve f(x)=g(x)f(x) = g(x)f(x)=g(x) graphically, what should you graph on the same axes?

What are the x-coordinates of intersection points?

What are the solutions to x2+x−6=2xx^2 + x - 6 = 2xx2+x−6=2x from Example 1?

In Example 1, what types of graphs are plotted for x2+x−6=2xx^2 + x - 6 = 2xx2+x−6=2x?

In Example 2, x3−4x=x+2x^3 - 4x = x + 2x3−4x=x+2 rearranges to which form?

When might you need to estimate a solution from a graph?

For x3−4x=x+2x^3 - 4x = x + 2x3−4x=x+2, what is an alternative graphing method mentioned?

Explore AQA A-Level Mathematics Revision Notes by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore AQA A-Level Mathematics Model Answers by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore AQA A-Level Mathematics Flashcards by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore AQA A-Level Mathematics Exam Questions by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

What do the solutions to $f(x) = g(x)$ represent graphically?

For equation $f(x) = 0$ , where does the graph of $y = f(x)$ cross?

To solve $f(x) = g(x)$ graphically, what should you graph on the same axes?

What are the solutions to $x^2 + x - 6 = 2x$ from Example 1?

In Example 1, what types of graphs are plotted for $x^2 + x - 6 = 2x$ ?

In Example 2, $x^3 - 4x = x + 2$ rearranges to which form?

For $x^3 - 4x = x + 2$ , what is an alternative graphing method mentioned?