Algebra

Question	Answer
Factorise $3x^2 +12x$	$3x(x+4)$
Expand $(x+2)^2$	$x^2+4x+4$
Factorise $x^2-3x-18$	$(x-6) (x+3)$
Expand $(2a+5)(2a-5)$	$4a^2-25$
Factorise $a^2-9$	$(a+3)(a-3)$
Simplify $\frac{x+2}{3} + \frac{x-3}{4}$	$\frac{7x-1}{12}$
Simplify $\frac{2(x+1)}{x^2+2x-3} + \frac{3(x+3)}{x^2+2x-3}$	$\frac{5x+7}{x^2+2x-3}$
Expand $(a^2-4)(a-2)$	$a^3-2a^2-4a+8$
Remember $FOIL$	$First$ $Outsides$ $Insides$ $Last$
Simplify $\frac{3a}{a^2-4} + \frac{2}{a-2}$	$\frac{5a^2-6a-8}{a^3-2a^2-4a+8}$
Find $X$ $\frac{5x-3}{2} + \frac{x+7}{3}$ $=15$	$x=5$
Find $X$ $\frac{2}{x+8} + \frac{1}{x-2}$ $=\frac{1}{3}$	$x = 7 or -4$
What's the quadratic formula?	Image: Quadratic_formula (image/jpg)
Simplify $\sqrt{48}$	$4\sqrt{3}$
Simplify $\sqrt{50}$	$5\sqrt{2}$
Simplify $\sqrt{120}$	$2\sqrt{30}$
Simplify $\sqrt{45} + \sqrt{20}$	$5\sqrt{5}$
Rationalise the denominator of $\frac{2}{\sqrt{3}}$	$\frac{2\sqrt{3}}{3}$
$125^\frac{4}{3}$	$625$
$3^{-2}$	$\frac{1}{9} or \dot{0.1}$
$81^\frac{3}{4}$	9
Solve $x^\frac{1}{2} = 3$	$x=9$
Solve $x^\frac{1}{2} = \frac{1}{3}$	$x=\frac{1}{9}$
Solve $3a-b=17$ $a+2b=1$	$a=5, b=-2$

Resource summary

	Created by Alex Maraio over 11 years ago