Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

For $T = 5P + 3Q$, work out $T$ when $P = 6$ and $Q = 8$.

(b)[2]

Simplify $3a - 7b + 2a + 4b$.

(c)[1]

Multiply out $5(2x - 3y)$.

(d)[2]

Solve $5x - 1 = 3x + 19$.

(e)[2]

Make $t$ the subject of the formula $p = 5t - 3$.

(f)[6]

Write down a pair of simultaneous equations to represent this information, then solve them to find the values of $x$ and $y$. Show all working.

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