Solving Equations Using Graphs (AQA GCSE Maths): Quizzes

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Solving equations using graphs
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What do crossing points on graphs represent when solving equations graphically?

The solutions to the equations

What do intersection point coordinates satisfy?

Both equations simultaneously

How many points typically result when a straight line crosses a circle?

Two points

What shape does x2+y2=16x^2 + y^2 = 16 represent?

Circle, centre origin, radius 4

To what precision are graphical solutions typically expressed?

1 decimal place

How do you solve sinx=0.7\sin x = 0.7 graphically?

Plot y=sinxy = \sin x, draw line y=0.7y = 0.7

What are the solutions when solving trig equations graphically?

x-coordinates of intersections

To solve 2x23x=72x^2 - 3x = 7 graphically, what should you draw?

y=2x23xy = 2x^2 - 3x and line y=7y = 7

To solve 2x25x+1=02x^2 - 5x + 1 = 0 using y=2x23xy = 2x^2 - 3x, what line do you draw?

y=2x1y = 2x - 1

Why check solutions fall within specified ranges for trig functions?

Trig functions are periodic

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