Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Solve for $x$. $8x - 5 = 22 - 4x$.

(b)[2]

Solve for $x$. $6x \geq 2x + 14$.

(c)[2]

Factorise this expression. $x^2 - 4x - 21$.

(d)[3]

Expand the brackets and then simplify. $(3x - 2y)(4x + 3y)$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct rearrangement gives $8x + 4x = 22 + 5$” …