Simultaneous equationsEdexcel A-Level Maths: Flashcards

What these 14 flashcards ask

What is the aim when solving simultaneous equations?
When do you use elimination?
How do you solve one linear and one quadratic equation?
How many pairs of solutions can a linear and a quadratic give?
Substitute y=2x+3 into y=x^2-4x+8.
How do you find the y values after solving for x?
What does a repeated root mean for a line and curve?
Discriminant condition for two intersections?
Write 4^y as a power of 2.
Write 8^x as a power of 2.
Convert 2^x\times4^y=32 into a linear equation.
If x+y=17 and x^2+y^2=169, find xy.
Check for solutions?
Why can't you add the bases in 2^x\times4^y?

Exam questions on Simultaneous equations

The line $y=x+1$ meets the curve $y=x^2-3x-4$ at two points.
The line $y=x+c$ is a tangent to the curve $y=x^2-3x-4$ . Find the value of $c$ .2 marks
A rectangle has perimeter 34 cm and its diagonal has length 13 cm. Its sides have lengths $x$ cm and $y$ cm.
Without solving a quadratic equation, find the area of the rectangle.2 marks
Real numbers $x$ and $y$ satisfy $2^{x}\times4^{y}=32$ and $\frac{8^{x}}{2^{y}}=2$ .
Show that $x+2y=5$ and $3x-y=1$ .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).