Mrs Davis: expanding, factorising and percentages

Expanding Single brackets

100

Expand:

5(x + 1)

5x + 5

200

Expand:

2(4x - 1)

8x - 2

300

Expand: 

x(x + 3)

x² + 3x

400

Expand and simplify:

4(x + 2) + 3(x + 5)

7x + 23

500

Expand and simplify:

5(2x + 1) + 4(x - 6)

14x - 19

Factorising

100

Factorise:

6x + 18

6(x + 3)

200

Factorise:

10x + 15

5(2x + 3)

300

Factorise:

18y + 16

2(9y + 8)

400

Factorise:

x² + 7x

x(x + 7)

500

Factorise:

2xy + 6x

2x(y + 3)

Expanding double brackets

100

(x+1)(x+2)

x² + 3x + 2

200

(x + 4)(x + 4)

x² + 8x +16

300

(x + 9)(x + 2)

x² + 11x +18

400

(2x + 1)(3x + 3)

6x² + 9x +3

500

(x - 4)(x + 6)

x² + 2x - 24

Percentages (non calculator)

100

Calculate 10% of 500

50

200

Calculate 5% of 60

3

300

Calculate 20% of40

8

400

Calculate 15% of 80

12

500

Increase £42 by 10%

£46.20

Percentages (calculator)

100

Calculate 3% of21

0.63

200

Calculate 17% of 81

13.77

300

Calculate 98% of 423

414.54

400

Increase £36 by 26%

45.36

500

Decrease £90 by 7%

83.7