Simultaneous Equations and Graphs (Edexcel GCSE Maths): Quizzes

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Simultaneous equations and graphs
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12 questions from this quiz

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What does the graphical method provide for solving simultaneous equations?

A visual way to find solutions

What do the coordinates of intersection points represent?

The solution to the system

What are the two main steps of the basic graphical method?

Draw both graphs, find where they cross

How many points do two linear equations typically intersect at?

One point

What is the gradient of the line y=2x+3y = 2x + 3?

2

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

Circle, centre origin, radius 4

In the worked example, how many points did the line intersect the circle?

Two points

Why rearrange an equation when given one graph already?

To identify the second graph needed

Given y=x24x+3y = x^2 - 4x + 3, what line solves x25x+3=0x^2 - 5x + 3 = 0?

y=xy = x

Why is accuracy in plotting crucial?

Wrong intersection points result

How many points are wise to plot for a linear equation?

Three (two needed, one check)

How should you write intersection point answers?

In coordinate form (x,y)(x, y)

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