# MAT - Paper 2013 - Q1F

## Flashcards

What should you do when reading a MAT question?

Circle any constaints like *positive*, *whole*, *negative*.

“Three positive numbers $a$, $b$, $c$ satisfy…” What should you do here?

Circle the word “positive”.

When given a question about the potential solutions (e.g. there is one solution, there is two solutions, there are infinitely many solutions) to a system of equations, what should you do?

Try and solve it and see what issues come up.

## \[b^4 - b^3 = 8\]
If you can’t factorise $b^4 - b^3 - 8$, what could you still do instead that might be useful?

\[b^3(b - 1) = 8\]

If $b$ has to be positive, what is one solution to

\[b^3(b - 1) = 8\]
?

\[b = 2\]

When you have an equation like

\[b^2 = a\]
in a system of equations, how can you rewrite it so that inferences are easier?

\[a = b^2\]