GCSE Recap Classwork Flashcards

Vocabulary flashcards covering indices, surds, functions, quadratics, rearranging formulas, and algebra extension topics from the GCSE recap lecture.

Value of $f(-3)$ given $f(x) = x^2 + 3x - 4$

$$-4$$

Value of $f(-2)$ given $f(x) = 2x^3 + 4$

$$-12$$

Simplified surd form of $\sqrt{75}$

$$5\sqrt{3}$$

Simplified surd form of $\sqrt{24} + \sqrt{54}$

$$5\sqrt{6}$$

Solutions to $9x^2 - 16 = 0$

$x = \frac{4}{3}$ and $x = -\frac{4}{3}$

Formula for $x$ when $y = \frac{6x-5}{2x+3}$

$$x = \frac{-5-3y}{2y-6}$$

Rationalised expression for $\frac{7+\sqrt{5}}{3+\sqrt{5}}$

$$4-\sqrt{5}$$

Volume of a cuboid with dimensions $x + 2\,\text{cm}$, $2x - 1\,\text{cm}$, and $2x + 3\,\text{cm}$

$$4x^3 + 12x^2 + 5x - 6\,\text{cm}^3$$

Complete factorisation of $x^4 - y^4$

$$(x^2 + y^2)(x + y)(x - y)$$

Product of four linear factors for $4x^4 - 13x^2 + 9$

$$(x - 1)(x + 1)(2x + 3)(2x - 3)$$