[YEAR 10 MATHEMATICS]: Informal Task - Quadratics

What is equivalent to  $2b\left(a\ +\ 6c\right)$  ?

• 2ab + 12bc

• - 2ba + 12cb

• 2ab - 12bc

• -2ab - 12bc

Expanding $\left(x\ -3\right)\left(x+3\right)$  would give?

•  $x^2-6x-9$  

•  $x^2+3x-9$  

•  $x^2-9$  

•  $x^2+9$  

How many terms does a trinomial have?

• 1

• 2

• 3

• 4

What are the factor pairs of 36?

• (2, 4, 6, 8, 12, 36)

• (1,36), (2,18), (3,12), (6,6), (9,4), (12,3), (18,2), (36,1)

• (1,36), (3,12), (4,9), (6,6), (9,4), (12,3), (18,2)

• (1,36), (2,18), (3,12), (4,9), (6,6), (9,4), (12,3), (18,2), (36,1)

Simplify $\frac{2x+8}{3\left(x+4\right)}$  

•  $\frac{x+8}{x+4}$  

•  $\frac{x+4}{3x+4}$  

•  $\frac{2x}{3}$  

•  $\frac{2}{3}$  

The general form of a quadratic is given as:

• $y=mx+b$

• $ax+by+c$

• $ax^2+bx+c$

• $y=ax^2$

Expanding $\left(2m+2\right)\left(2m+1\right)$  would give?

•  $2m^2+2$  

•  $m^2+6m+2$  

•  $2m^2+4m+2$  

•  $2m^2+6m+2$  

The rule for expanding "the difference of two squares" is?

• $\left(a-b\right)$

• $\left(a-b\right)\left(a+b\right)$

• $\left(a^2-b^2\right)$

• $\left(a^2+b^2\right)$

Factorise $\frac{x^2+6x+9}{2x+6}$  

•  $\frac{\left(x+3\right)}{2}$  

•  $\left(x+3\right)$  

•  $\frac{\left(x+3\right)\left(x+3\right)}{2\left(x+3\right)}$  

•  $2\left(x+3\right)$  

If a rectangle has a width of $\left(x+2\right)cm$ and a length of   $\left(y-2\right)cm$ , then the expression of its area would be? 

•  $\left(xy\right)^2-4\ cm^2$  

•  $\left(xy-2xy-2\right)cm^2$  

•  $\left(x^2y-2x+2y+4\right)cm^2$  

•  $\left(xy-2x+2y-4\right)cm^2$