NCEA Level 1 Algebraic Fractions — Practice Questions with Answers

Question Bank

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Achieved

Write $\displaystyle \frac{2}{x^2} + \frac{3}{x}$ as a single fraction.

Merit

Write $\displaystyle \frac{2x+3}{5} - \frac{x-1}{2}$ as a single fraction.

Merit

Write $\displaystyle \frac{x}{2} + \frac{x+1}{3} - \frac{x-2}{4}$ as a single fraction.

Merit

Write $\displaystyle \frac{4}{x-3} - \frac{2}{x+2}$ as a single fraction.

Merit

Simplify fully: $\displaystyle \frac{5x-10}{x^2-4}$.

Merit

Simplify fully: $\displaystyle \frac{x^2+2x-3}{x^2+x-2}$.

Merit

Simplify fully: $\displaystyle \frac{2x^2+5x-3}{4x^2-1}$.

Merit

Simplify fully: $\displaystyle \frac{x^2-9}{2x+4} \times \frac{x+2}{x-3}$.

Excellence

Solve the equation $\displaystyle \frac{6}{x-1} - 1 = \frac{4}{x}$.

Excellence

Solve the equation $\displaystyle 2x = \frac{4}{x} +7$.