Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Find the integer values that make the inequality $2 < 2x \le 10$ true.

(b(i))[2]

Factorise completely $6y^2 - 15xy$.

(b(ii))[2]

Factorise completely $y^2 - 9x^2$.

(c)[3]

Simplify $\frac{3}{x-1} - \frac{2}{2x+1}$.

(d)[6]

The straight line $y = 3x + 2$ crosses the curve $y = 2x^2 + 7x - 11$ at two points. Find the coordinates of these two points. Give your answers correct to 2 decimal places.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: $2,\,3,\,4,\,5$

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