Question 1:
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(a)
\( \text{Expand and simplify } 5(2x - 3) + 2(x + 1). \)
(2 marks)
(b)
\( \text{Factorise fully } 8xy + 40y. \)
(2 marks)
(c)
\( \text{Make } g \text{ the subject of the formula } h = 4g + 7. \)
(2 marks)
(a) Answer:
\( 12x - 13 \)
Explanation:
\begin{aligned}
&5(2x - 3) + 2(x + 1) \\
&= 10x - 15 + 2x + 2 \\
&= 12x - 13.
\end{aligned}
(b) Answer:
\( 8y(x + 5) \)
Explanation:
\begin{aligned}
&8xy + 40y \\
&= 8y(x + 5).
\end{aligned}
(c) Answer:
\( g = \frac{h - 7}{4} \)
Explanation:
\begin{aligned}
&h = 4g + 7 \\
&h - 7 = 4g \\
&g = \frac{h - 7}{4}.
\end{aligned}
