Free Printable Factorisation and algebraic fractions

1.

$-5\ \left(4\ -3p\right)\ =$

a)

$-20\ -\ 3p$

b)

$-20\ -15p$

c)

$-20\ +\ 8p$

d)

$-20\ +15p$

2.

Expand

\left(x-1\right)\left(x+3\right)

a)

$x^2\ -\ 2x\ -3$

b)

$x^2\ +2x-3$

c)

$x^2\ +4x-3$

d)

$x^2\ +4x\ +3$

3.

Which of the following is NOT the common factor of 3p and 9pq?

a)

1

b)

3

c)

p

d)

9p

4.

Determine the highest common factor of

6h^2

and

9hk.

a)

1

b)

$h$

c)

$3h$

d)

$3hk$

5.

Factorise $6x^2+x-2.$

a)

$\left(2x+1\right)\left(3x-2\right)$

b)

$\left(2x\ -1\right)\left(3x\ +2\right)$

c)

$\left(6x\ -1\right)\left(3x\ +2\right)$

d)

$\left(6x+1\right)\left(3x-2\right)$

6.

$3pr\ -\ 4ps\ +12qs\ -\ 9qr\ =$

a)

$\left(p-3q\right)\left(3r\ -4s\right)$

b)

$\left(p+3q\right)\left(3r-4s\right)$

c)

$\left(p-3q\right)\left(3r+4s\right)$

d)

$\left(p-3q\right)\left(4r\ -3s\right)$

7.

Simplify $\frac{3}{8h}+\frac{1}{6h}$

a)

$\frac{2}{7h}$

b)

$\frac{5}{16h}$

c)

$\frac{13}{24h}$

d)

$\frac{15}{24h}$

8.

Simplify $\frac{16m^2-24m+9}{16m^2-9}$

a)

$\frac{4m+3}{4m-3}$

b)

$\frac{4m-3}{4m+3}$

c)

$\frac{3m-4}{3m+4}$

d)

$\frac{3m+4}{3m-4}$

9.

$\left(a-3b\right)^2+6ab\ =$

a)

$a^2-9b^2$

b)

$a^2+9b^2$

c)

$2a+9b$

d)

$2a\ -9b$

10.

Simplify $\frac{3x-3y}{x+y}\times\frac{2x\ +2y}{6x}$

a)

$\frac{x+y}{x}$

b)

$\frac{x+y}{y}$

c)

$\frac{x-y}{x}$

d)

$\frac{x-y}{y}$

Factorisation and algebraic fractions

Total questions: 10

Worksheet time: 16mins

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