1 Marks Question

Question 11 Mark

Expand the following product.
(5 + z) (y + 9)

Answer

$(5+z)(y+9)$
$\begin{array}{l}=(5+z) y+(5+z) 9 \\ =5 y+z y+45+9 z \\ =5 y+9 z+z y+45 .\end{array}$

Question 21 Mark

Expand the following product.
(–5a + b) (c + d)

Answer

$(-5 a+b)(c+d)$
$\begin{array}{l}=(-5 a+b) c+(-5 a+b) d \\ =-5 a c+b c-5 a d+b d \\ =-5 a c-5 a d+b c+b d .\end{array}$

Question 31 Mark

Expand the following product.
(3 – x) (x – 6)

Answer

$(3-x)(x-6)$
= (3 – x)x – (3 – x)6
$\begin{array}{l}=3 x-x^2-(18-6 x) \\ =3 x-x^2-18+6 x \\ =-x^2+6 x+3 x-18 \\ =-x^2+9 x-18\end{array}$

Question 41 Mark

Expand the following product.
(10a + b) (10c + d)

Answer

(10 a + b) (10c + d)
= (10a + b)10c + (10 a + b)d
= 100ac + 10bc + 10ad + bd.

Question 51 Mark

Expand the following product.
2/3 (15 + 6a)

Answer

$\frac{2}{3}(15+6 a)$
$\begin{array}{l}=\frac{2}{3} \times 15+\frac{2}{3} \times 6 a \\ =2 \times 5+2 \times 2 a \\ =10+4 a .\end{array}$

Question 61 Mark

Expand the following product.
(3 + u) (v – 3)

Answer

(3 + u) (v – 3)
= (3 + u)v – (3 + u)3
= 3 + uv – (9 + 3u)
= 3 + uv – 9 + 3u
= uv + 3u + 3 – 9
= uv + 3u – 6.

MATHS 1 Marks Question