Free Printable Expanding and Factorising Brackets

1.

Expand $2\left(x+6\right)$

a)

$2x+6$

b)

$2x+12$

c)

$x^{2\ }+12$

d)

$x^2\ +36$

2.

Expand $3\left(2x\ +\ 3y\right)$

a)

$5x\ +\ 6y$

b)

$9x\ +\ 27y$

c)

$6x\ +\ 9y$

d)

$15xy$

3.

When I (a) 7(x+5) I get 7x+35

Choose from the below words

Expand

Factorise

4.

When I (a) 7x+28 I get 7(x+4)

Choose from the below words

Factorise

Expand

5.

When I (a) 4x+8 i get 4(x+2)

When I (b) 4(x+2) i get 4x+8

Choose from the below words

Factorise

Expand

6.

Fully Factorise $12x\ +\ 24$

a)

$6\left(2x+4\right)$

b)

$4\left(3x+6\right)$

c)

$3\left(4x+8\right)$

d)

$12\left(x+2\right)$

7.

Fully Factorise $x^2\ +2x$

a)

$x\left(x+2\right)$

b)

$3x^2$

c)

$x^2\left(1+x\right)$

d)

Cannot be Factorised

8.

Fully Factorise 4xy + 2y

a)

$2y\left(2x+1\right)$

b)

$y\left(4x+2\right)$

c)

$2\left(2xy+y\right)$

d)

$8xy^2$

9.

Fully Factorise $6x^2y\ +\ 12xy^2$

a)

$6\left(x^2y\ +2xy^2\right)$

b)

$6x^2\left(y+y^2\right)$

c)

$6xy\left(x+2y\right)$

d)

$6y\left(x^2+2xy\right)$

10.

$Factorise\ \ \ x^2\ +\ 13x$

a)

$x^2\left(1\ +\ 13\right)$

b)

x(x + 13)

c)

x(2x + 13)

d)

13(x + 2)

11.

Factorise: 4x² + 8x

a)

4x(x+2)

b)

4(x²+2x)

c)

2x(2x+4)

d)

2(2x²+4)

12.

Factorise fully: 6x² - 3x

a)

3x(2-x)

b)

3(2x²-x)

c)

3x(2x-1)

d)

6x(x-3)

13.

Expand and Simplify 4(x+5)+7

a)

4x+12

b)

4x+27

c)

4x+16

d)

4x+23

14.

Factorise this expression by removing it's common factor:

ab + 4b

a)

a(b+4)

b)

b(a+4)

c)

ab(1+4)

d)

b(a+4b)

15.

Fully Factorise $24abc^2\ +12ab^2c\ +6a^2bc$

a)

$6\left(4abc^2+2ab^2c\ +a^2bc\right)$

b)

$6abc\left(4c+2b+a\right)_{ }$

c)

$abc\left(24c+12b+6a\right)$

d)

Too Hard

Expanding and Factorising Brackets

Total questions: 15

Worksheet time: 9mins

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