Algebra - Expanding brackets; simplifying and simple binomials

Expanding brackets

100

2(x + 5)

2x + 10

200

-7(y + 1)

-7y + -7

300

-12w(w - v)

-12w²+ 12wv

400

-9b(b-6)

-9b²+54b

500

-6abc(-2ac - 3b)

12a²bc² + 18ab²c

Factorise

100

factorise. 2x+4

2(x+2)

200

factorise. 25x+30

5(5x+6)

300

factorise. 21x²+28x²

7x²(3x+4)

400

Factorise 38x³y+14xy²-10xy

2xy(19x²+7y-5)

500

x²+8x+16

(x+4)(x+4) or (x+4)²

Expand and Simplify

100

5x(x - 1)

5x² - 5x

200

-n(n - 9)

-n² + 9n

300

Wow - you are so lucky - you just won the points!

Congratulations!

400

3xy(2 - y) - (4x + 8)

6xy - 3xy² - 4x - 8

500

 s(2r - 3s) + 2r(3r - 2s)

3s²+ 6r² - 2rs 

Binomials

100

(x + 6) ( + 5)

x² + 11x + 30

200

(r + 5) (r - 8)

r² - 3r -40

300

(3n + 2)(n - 1)

3n² - n - 2

400

(2a + 5)(4a - 3)

8a² + 14a - 15

500

(3r - 2)(8r - 7)

24r² - 37r + 14

Bonus

100

What is Pythagoras' Theorem?

a²+b²=c²

200

What is pi to 3 decimal places

3.142

300

Congrats you just won points!

WooHoo!

400

What are Ms Van Galen's children's names?

Jack and Max

500

what is the difference between factorising and expanding?

factorising is when you put expressions back into brackets, whereas expanding is where you change the brackets to expressions.