Year 9 Algebra - Expanding and Factorising

Expanding brackets

100

4(x + 5)

4x + 20

200

5(2m + 8)

10m + 40

300

6(a - 2)

6a - 12

400

-3( y + 7)

-3y - 21

500

2m(3m - 6) + 3m

= 6m² - 12m + 3m

= 6m² - 9m

Factorise

100

4x + 20

4(x + 5)

200

6a + 18

6(a + 3)

300

7x + 28

7(x + 4)

400

-4m - 12

-4(m + 3)

or

4(-m - 3)

500

8m² - 12m

4m(2m - 3)

Factorise by grouping

100

x² + 6x + 8

(x + 2) (x + 4)

200

x² + 13x + 40

(x + 5) (x + 8)

300

x² + 2x - 8

(x + 4) (x - 2)

400

x² - 7x + 10

(x - 2) (x - 5)

500

2x² + 14x - 60

= 2(x² + 7 - 30)

= 2 (x + 10) (x - 3)

Binomial Expansion

100

(x + 2)(x + 4)

= x² + 4x + 2x + 8

= x^{2 +} 6x + 8

200

(x + 6)(x + 1)

= x² + x + 6x + 6

= x² + 7x + 6

300

(x - 5) (x + 3)

= x² + 3x - 5x - 15

= x² - 2x - 15

400

(2x + 3)(x + 5)

= 2x² + 10x + 3x + 15

= 2x² + 13x + 15

500

(3x - 2) (x + 4)

= 3x² + 12x - 2x - 8

= 3x² + 10x - 8

Bonus

100

What pet does Ms Furini have?

Dog

200

What is Mr H's favourite hobby?

Gaming

300

How old is Ms Furini

50

400

How old is Mr H

26

500

When is our exam?

What topic is it on?

Thursday

Algebra (expanding and factorising)