Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[1]

Simplify the expression $5a + 6a - a$.

(b)[3]

Write an expression for the rectangle’s perimeter, and give the answer in simplest form.

(c(i))[2]

Find the value of $5x + 10y$ for $x = 7$ and $y = 9$.

(c(ii))[2]

Find the value of $4r^2 - pr$ when $p = 3$ and $r = 5$.

(d)[3]

Solve for $x$ in $5(3x - 6) = 75$.

(e(i))[2]

Complete the table using expressions written in terms of $x$.

(e(ii))[1]

The five ages add to 125 years. Write an equation in terms of $x$ and show that it simplifies to $11x - 7 = 125$.

(e(iii))[2]

Find Molly’s age by solving $11x - 7 = 125$.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: The simplified result is $10a$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI