Simultaneous equationsEdexcel International A Level Maths: Flashcards

What these 12 flashcards ask

What does it mean to solve simultaneous equations?
What is the substitution method?
When one equation is linear and one is quadratic, which should you rearrange?
How do you find y after solving for x?
Expand (x+1)^2.
How many solution pairs can a line and a quadratic curve have?
What does a repeated root after substitution mean?
What does a negative discriminant after substitution mean?
What do the solutions of simultaneous equations represent graphically?
Solve y=x+1 and x^2+y^2=25.
How do you check a solution?
Two expressions are both equal to y. How do you eliminate y?

Exam questions on Simultaneous equations

Consider the simultaneous equations $y=x+1$ and $x^2+y^2=25$ .
Find the other solution of the simultaneous equations.2 marks
Pens cost £ $p$ each and notebooks cost £ $n$ each. Four pens and three notebooks cost £11.60. Two pens and five notebooks cost £13.50.
Find the cost of three pens and two notebooks.2 marks
The line $L$ has equation $y=2x-5$ and the curve $C$ has equation $y=x^2-3x+1$ .
Find the $x$ -coordinates of the points where $L$ meets $C$ .3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).