Mathematics 0580 · IGCSE · Equations

Equations — practice question

(a)[1]

For $P = 3a + 5$, determine the value of $P$ at $a = 2$.

(b(i))[1]

Find $x$ from the equation $7x = -42$.

(b(ii))[3]

Find the solution of $9(8x - 7) = 72$.

(c)[1]

For $5^8 \times 5^k = 5^{-24}$, determine $k$.

(d)[2]

Find the simultaneous solutions of $-6x - y = 13$ and $8x + y = -51$.

(e)[2]

State every possible value of $n$.

(f)[2]

Give an expression, in terms of $x$ and $t$, for the boy's total distance travelled, in metres.

(g)[3]

Work out an expression for the area of this rectangle, and write your answer in the form $x^2 + ax + b$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $11$.

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