Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

Algebra, then simplification.
(a)[3]

Let Gita’s number of stamps be $n$. Ravi has twice Gita’s number of stamps. Sanjay has $7$ fewer stamps than Ravi. Altogether, the three of them have $108$ stamps. Set up an equation in $n$ and solve it to determine how many stamps Sanjay has.

(b)[2]

Simplify $\frac{6t^2v^3}{5} \div \frac{3t^2}{v^2}$.

(c)[3]

Simplify $\frac{x^2 - 16}{3x^2 + 10x - 8}$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: $n+2n+2n-7=108$

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