Algebra 9

2 marks · Easy

Explain how to find the intersection points of the graphs of and .

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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Set 2x - 1 = x^2 and solve the resulting quadratic equation for x, then substitute to find y.

Also accept: Equate the two equations to form a quadratic, solve for x, substitute back to get y.

Common mistakes: Equating y = x, or substituting incorrectly

Show mark scheme and worked solution

Marking points

M1 · 1 mark · States correctly that you should set or equate the two equations.

A1 · 1 mark · Describes solving the quadratic and substituting the x-values into either equation to find y-values.

Worked solution

Set . Rearrange: , solve the quadratic. Substitute each solution for into either original equation to get the matching y-values.