Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a(i))[2]

Determine the value of $y$ for $p = 3$, $x = 2$ and $t = -13$.

(a(ii))[3]

Rearrange the formula so that $x$ is expressed in terms of $p$, $t$ and $y$.

(b(i))[2]

Factorise the expression $15x^2 - 2x - 8$.

(b(ii))[1]

Solve the quadratic equation $15x^2 - 2x - 8 = 0$.

(c)[3]

Factorise completely the expression $x^3 - 16xy^2$.

(d)[4]

Simplify the expression $\frac{2x - 1 - 4ax + 2a}{2x^2 - x}$.

Worked solution & mark scheme

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