# Algebra

Flashcards by , created almost 6 years ago

## This is a simple Algebra A Level GCSE Questions to test yourself

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 Created by Alex Maraio almost 6 years ago
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 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? Quadratic_formula.jpg (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 $$3a-b=17$$ $a+2b=1$ $$a=5, b=-2$$