Surds, index laws, expanding and factorising, algebraic fractions, changing the subject and significant figures — the algebra you do without a calculator…
10 questions • Zestly
• Express $\sqrt{72}$ in its simplest surd form.
• Simplify the expression $\frac{x^5 \times x^3}{x^2}$.
• Evaluate $8^{\frac{2}{3}}$ as a whole number.
• Expand and simplify $(2x - 3)(x + 5)$.
• Factorise the trinomial $x^2 - 9x + 20$.
• Factorise the expression $9x^2 - 25$.
• Simplify the algebraic fraction $\frac{x^2 - 16}{x - 4}$, given that $x \neq 4$.
• Given the formula for the volume of a cone $V = \frac{1}{3}\pi r^2 h$, make $h$ the subject.
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