Algebra (MCAT)

When multiplying do you times or add powers?
\(x^3\) x \(x^5\) = ?

Solve ( \(x^3\) ) \(^3\)

Solve (3\(x^3\) )\(^3\)

Solve \[\frac{x^9}{x^7}\]

Simplify \[\frac{15x^2y}{12xy^4}\]

Simplify \[\frac{(3p^2q)^3 x (2pq^2)^2}{54p^7q^8}\]

Adding fractions
Solve:
\(\frac{x}{3}\)+
\(\frac{y}{2}\)

Multiplying fractions
Solve:

\(\frac{ab}{d^2}\)x\(\frac{4a}{3b}\)

Dividing fractions
Solve:

\(\frac{6p^2q}{7p}\)%
\(\frac{2p^3}{3q}\)

*TIP* EXPAND QUADS IN A PUNNET SQUARE!

Expand this quad:
(x+2)(x-7)

Expand:
(x-5)\(^2\)

Factorise:
\(x^2\)+7x+10

\(x^2\)-49

Solve:
\(x^2\)=27

Make n the subject:
6(
\(\frac{n}{4}\)-5)

Factorise:
\(x^2\)+30x+200=2000

A wire frame is made so its length is 'l' is 4cm longer than its width 'w'. It's height 'h' is 1cm shorter than it's width. Write an expression for both height and length