Algebra - Expanding brackets; simplifying and simple binomials (HP)

Expanding brackets

100

Which two numbers add to 7 and multiply to 10

5 and 2

5 + 2 = 7

5 x 2 = 10

200

Which two numbers add to -8 and multiply to 12

-6 and -2

-6 + -2 = -8

-6 x -2 = 12

300

Which two numbers add to 15 and multiply to 50

5 and 10

5 + 10 = 15

5 x 10 = 50

400

Which two numbers add to -5 and multiply to -6

-6 and 1

-6 + 1 = 5

-6 x 1 = 5

500

Which two numbers add to 9 and multiply to -52

13 and -4

13 + -4 = 9

13 x -4 = -52

Factorise

100

factorise. x²+6x+9

(x+3)²

200

factorise. 25x+30

5(5x+6)

300

factorise. x²-16

(x+4)(x-4)

400

x²+9x+20

(x+4)(x+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

-12x(-x²+32y³)

12x³-384xy³

400

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

6xy - 3xy² - 4x - 8

500

 s(2r - 3s) + 2r(3r - 2s)

3s²+ 6r² - 2rs 

Binomials

100

(x + 6) (x + 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

When is Mrs Sunil's anniversary?

15th Sept

200

What is Mrs Sunil's favourite colour?

Blue/Purple

300

Where did Mrs Sunil live from the ages of 6-12? 

Bonus point for getting the city right!!

Ireland

Galway

400

When is Mrs Sunil's birthday?

Feb 23rd

500

What is Mrs Sunil's dogs birthday month?

November