Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The equation $|4x - 1| = |x + 3|$ has solutions $x = p$ and $x = q$, with $p < q$.

(main)[5]

Determine the exact values of $p$ and $q$, and then find the exact value of $|p - 2| - |q - 1|$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Solve $4x-1=x+3$ to get $x=\frac{4}{3}$” …