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. 21x³+28x²

7x²(3x+4)

400

Factorise 38x³y+14xy²-10xy

2xy(19x²+7y-5)

500

x² - 16

(x - 4)(x + 4)

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

x² + 11x + 30

(x + 6) (x + 5)

200

r² - 3r -40

(r + 5) (r - 8)

300

n² + n - 2

(n + 2)(n - 1)

400

a² -9a + 20

(a - 5)(a - 4)

500

r² +5r - 14

(r - 2)(r + 7)

Bonus

100

What year was St Clare's College opened?

1965

200

Which two houses were the last to be added to our pastoral care system?

Kipara and Ulamina

300

What is the room number of the Maths Office?

W102

400

What is the name of the public holiday being recognised this Monday in the ACT?

Reconciliation Day

500

After today, how many lessons do we have until the end of the term?

16