Tutorial

GCSE Maths: Solving Non-Linear Simultaneous Equations

Learn how to solve simultaneous equations where one equation is linear and the other is quadratic. This deck covers the substitution method, how to form and solve the resulting quadratic equation, and how to find the corresponding pairs of solutions.
GCSE Maths: Solving Non-Linear Simultaneous Equations

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Deck Contents

22 Cards
Lesson#1
Welcome to solving non-linear simultaneous equations. In this deck, you'll learn how to find the points where a straight line and a curve meet by solving their equations together. We'll focus on the substitution method, which is the key to unlocking these problems.
Quiz#2
What kind of graph is produced by a linear equation like y equals 2x plus 1?

a straight line

Quiz#3
What kind of graph is produced by a quadratic equation like y equals x squared?

a curve

Lesson#4
When we solve simultaneous equations, we are finding the values of x and y that make both equations true at the same time. On a graph, these solutions are the points where the two graphs cross over, or intersect.
Quiz#5
What do the solutions to a pair of simultaneous equations represent on a graph?

points of intersection

Quiz#6
When a straight line and a curve intersect, what is the maximum number of intersection points they can have?

two

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