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 an example of a binomial?

(x+2)(x+4)

200

what is the order of operations?

BIDMAS Brackets, Indicies, Division, Muliplication Addition, Subraction

300

give an example of like terms?

3x+8x

400

What year was Mr Hansen Born?

1994

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.