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+28x

7x(3x+4)

400

Factorise 2x²y - 10x²

2x(xy - 5x)

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 (FOIL)

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 day is it today?

Wednesday

200

What type of shoes do I wear to school?

Converse

300

Congrats you just won points!

WooHoo!

400

What is 12 x 7?

84

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.