(a) Simplify (i) $$ \frac{x + y}{8x + 8y} $$ \_\_\_\_\_\_ (ii) $x(3x - 2) - (3x^2 - 5)$. \_\_\_\_\_\_ (b) Solve the equation $3t - 4 = 7 + 2(t + 3)$. $t$ = \_\_\_\_\_\_ (c) Factorise $5px - 7qx + 10py - 14qy$. \_\_\_\_\_\_ (i) When $x = -2$, which of the two expressions, $3x + 4$ and $2 - x$, has the greater value? You must show your working. \_\_\_\_\_\_ (ii) Solve the inequality $3x + 4 < 2 - x$. \_\_\_\_\_\_

Mathematics (Syllabus D) 4024/22 — October/November 2010

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

questions

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Topics Algebra and Graphs · Geometry · Mensuration · Trigonometry · Number · Statistics · +3 more

Q1Algebra and GraphsFree sample

(a)

Simplify

(i)

\frac{x + y}{8x + 8y}

______

(ii)

$x(3x - 2) - (3x^2 - 5)$ .

______

(b)

Solve the equation $3t - 4 = 7 + 2(t + 3)$ .

$t$ = ______

(c)

Factorise $5px - 7qx + 10py - 14qy$ .

______

(d)

(i)

When $x = -2$ , which of the two expressions, $3x + 4$ and $2 - x$ , has the greater value?
You must show your working.

______

(ii)

Solve the inequality $3x + 4 < 2 - x$ .

______

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