Simultaneous equationsIB MYP Maths Extended: Flashcards

What these 12 flashcards ask

What are simultaneous equations?
What does the solution of a pair of linear equations mean on a graph?
When is substitution the best method?
When is elimination the best method?
When do you add the equations to eliminate?
When do you subtract the equations to eliminate?
What do you do if no variable has matching coefficients?
Solve x+y=10 and x-y=2.
What happens graphically if two lines are parallel?
What is the first step in a word problem?
How do you check a solution?
Substitute y=2x+1 into x+y=7.

Exam questions on Simultaneous equations

Two lines have equations $y=2x+1$ and $x+y=7$ .
Explain what the solution of the pair of equations tells you about the graphs of the two lines.2 marks
A pair of simultaneous equations is $3x+2y=16$ and $5x-2y=8$ .
Find the value of $y$ , and check that your solution satisfies the other equation.2 marks
At a bookshop in Singapore, 2 notebooks and 3 pens cost 13.50 Singapore dollars (SGD). Also, 3 notebooks and 1 pen cost 11.50 SGD.
Let $n$ be the price of a notebook and $p$ the price of a pen, in SGD. Write down two equations and eliminate one variable to obtain an equation in a single variable.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).