Expanding and Factorising

Single Bracket Expansion

100

2(a+3)

2a+6

200

3(a-8)

3a-24

300

 4(7x+5y) 

28x+20y

400

3y(5p+2)

15yp+6y

500

2u(3−u)

6u-2u^2

Single Bracket Factorising

100

2a+4b

2(a+2b)

200

8k+36

4(2k+9)

300

9x^2+6x

3x(3x+2)

400

-4ab-6bc

-2b(2a+3c)

500

8y^3+24y^2-16y^4

8y^2(y+3-2)

F.O.I.L

100

What does F.O.I.L stand for?

First, Outers, Inners, Last

200

(x+2)(x+3)

x^2+5x+6

300

(x+7)(x-8)

x^2-x+56

400

(r-6)(r-4)

r^2-10r+24

500

(2x+4)(3x+2)

6x^2+4x+12x+8

6x^2+16x+8

Monic Quadratic Trinomial Factorising

100

What is the rule for factorising quadratics?

The values need to multiply to get the last number, and add to get the middle number

200

x^2+6x+9

(x+3)(x+3)

300

x^2+9x+20

(x+4)(x+5)

400

x^2+10x+9

(x+1)(x+9)

500

x^2-6x-27

(x-9)((x+3)

Bonus

100

What is Mr. Winzils pet?

Dog

200

How many points did Mr. Winzil score in the teachers vs students basketball game?

0

300

What uni did Mr. Winzil go to?

Flinders Uninversity

400

Where was the first evidence of Mathematics from

Egypt and Iraq

500

What was the first purpose for mathematics?

The first formal use of Maths was by governments to tax there citizens