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 about 11 years ago