Free Printable Expanding and Factorising

Worksheets

Expanding and Factorising

Total questions: 42

Worksheet time: 42mins

Name

Class

Date

Expand -2(x-2)

-2x+4

2x-4

-2x-4

2x-2

Expand 4(x+2)

4x+4

4x+2

4x+8

4x+6

Expand and Simplify 4(x+5)+7

4x+12

4x+27

4x+16

4x+23

Expand and Simplify 3(x+5)+2x

3x+15

5x+15

4x+14

5x+14

Which of the following is the correct expansion of:
a(a - 10)?

a² - 10a

2a - 10

2a² - 10

a - 10a²

Expand -2a(3+b)

-6a-2ab

-6a+2ab

Factorise 6m² + 16m

2(3m² + 8m)

2m(3m + 8)

2m(3m - 8m)

not factorable

Factorise 8x+32

8(x+4)

4(2x+16)

2(4x+16)

4(2x+8)

Factorise: 9x - 12

4(3x - 3)

3(3x - 4)

3x(x - 4)

9(x-3)

10.

(x + 5)(x + 4)

x² + 9x + 20

x² + 20x + 9

x² + x + 20

x² + 20

11.

Expand and simplify the following quadratic expression...

(x + 3)(x + 2)

x² + 5x + 6

x² + 5x + 5

x² + 6x + 6

x² + 6x + 5

12.

Expand and simplify the following quadratic expression...

(x + 4)(x + 6)

x² + 10x + 24

x² + 10x + 10

x² + 24x + 10

x² + 24x + 24

13.

Expand and simplify the following quadratic expression...

(x + 3)(x + 8)

x² + 11x + 24

x² + 11x + 11

x² + 24x + 11

x² + 24x + 24

14.

Expand and simplify the following quadratic expression...

(x - 3)(x + 8)

x² + 5x - 24

x² - 5x - 24

x² + 5x + 24

x² - 5x + 24

15.

Expand and simplify the following quadratic expression...

(x - 8)(x + 8)

x² + 16x - 64

x² + 16x + 64

x² - 16x + 64

x² - 64

16.

Expand and simplify the following quadratic expression...

(x - 6)(x + 5)

x² + x - 30

x² - x - 30

x² + x + 30

x² - x + 30

17.

Expand and simplify the following quadratic expression...

(x - 6)(x - 4)

x² - 10x + 24

x² - 10x - 24

x² + 10x - 24

x² + 10x + 24

18.

Factorise the following quadratic expression...

x² + 14x + 24

(x + 12)(x + 2)

(x + 8)(x + 3)

(x + 4)(x + 6)

(x + 24)(x + 1)

19.

Factorise the following quadratic expression...

x² + 12x + 32

(x + 16)(x + 2)

(x + 8)(x + 4)

(x + 6)(x + 6)

(x + 32)(x + 1)

20.

Expand and simplify the following quadratic expression...

(x - 8)(x + 8)

x² + 16x - 64

x² + 16x + 64

x² - 16x + 64

x² - 64

21.

Expand and simplify the following quadratic expression...

(x - 6)(x + 5)

x² + x - 30

x² - x - 30

x² + x + 30

x² - x + 30

22.

Expand and simplify the following quadratic expression...

(x - 6)(x - 4)

x² - 10x + 24

x² - 10x - 24

x² + 10x - 24

x² + 10x + 24

23.

Factorise the following quadratic expression...

x² + 14x + 24

(x + 12)(x + 2)

(x + 8)(x + 3)

(x + 4)(x + 6)

(x + 24)(x + 1)

24.

Factorise the following quadratic expression...

x² + 12x + 32

(x + 16)(x + 2)

(x + 8)(x + 4)

(x + 6)(x + 6)

(x + 32)(x + 1)

25.

Factorise the following quadratic expression...

x² + 13x + 40

(x + 8)(x + 5)

(x + 10)(x + 4)

(x + 20)(x + 2)

(x + 40)(x + 1)

26.

Factorise the following quadratic expression...

x² + 17x + 60

(x + 12)(x + 5)

(x + 10)(x + 6)

(x + 20)(x + 3)

(x + 30)(x + 2)

27.

Factorise the following quadratic expression...

x² + x - 12

(x + 4)(x - 3)

(x + 6)(x - 2)

(x - 4)(x + 3)

(x - 6)(x + 2)

28.

Factorise the following quadratic expression...

x² + 3x - 18

(x + 9)(x - 2)

(x + 6)(x - 3)

(x - 9)(x + 2)

(x - 6)(x + 3)

29.

Factorise the following quadratic expression...

x² - 8x - 20

(x + 10)(x - 2)

(x + 5)(x - 4)

(x - 10)(x + 2)

(x - 5)(x + 4)

30.

Expand and simplify the following:

\left(x+2\right)\left(x-5\right)

$x^2-5x+2x-10$

$x^2-3x-10$

$x^2+7x+10$

$2x-10$

$x^2-10$

31.

Find the product:
(3x – 1)(x + 5)

3x² + 4x + 5

3x² + 4x - 5

3x² + 14x + 5

3x² + 14x - 5

32.

Factorise: 4x² + 8x

4x(x+2)

4(x²+2x)

2x(2x+4)

2(2x²+4)

33.

(x + 1)(x + 3)

x² + 4x + 3

x² + 3x + 4

x² + 2x + 3

x² + 3

34.

(2x + 1)(x + 3)

2x² + 7x + 3

2x² + 5x + 3

x² + 7x + 3

2x²+ 3

35.

Which of the following is the correct expansion of:
5(r - 2)?

5r - 2

5r +2

5r + 10

5r - 10

36.

Expand 3(x + 2) + 2(x + 4)

3x + 24 + 2x

5x + 24

6x² + 6

5x + 14

37.

Expand and simplify the following quadratic expression...

(x - 6)(x - 4)

x² - 10x + 24

x² - 10x - 24

x² + 10x - 24

x² + 10x + 24

38.

Expand and simplify the following quadratic expression...

(x - 8)(x + 8)

x² + 16x - 64

x² + 16x + 64

x² - 16x + 64

x² - 64

39.

Fully factorise the following expression...

16x + 24

2(8x + 12)

4(4x + 6)

8(2x + 3)

4(4x - 6)

40.

Factorise: 12x² + 15x

6x(2x+3)

3(x²+5x)

4x(3x+5)

3x(4x+5)

41.

Factorise fully: 4x² + 8x

4x(x+2)

4(x²+2x)

2x(2x+4)

2(2x²+4)

42.

Expand and simplify 3(c - 2d) - 2(2c - 3d).

-c

-c - 12d

-c + 12d

Reset

Expanding and Factorising

Total questions: 42

Worksheet time: 42mins

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