Free Printable FACTORISATION AND ALGEBRAIC FRACTIOS FORM 2

1.

$\left(a+2b\right)^2-\left(a^2-b^2\right)$

a)

$3b^2$

b)

$5b^2+4ab$

c)

$5b^2+2ab$

d)

$a^2+4b^2$

2.

Are there any common factors? What are they?

4x²(2w-3)-5(2w-3)

a)

4x²

b)

2w

c)

(2w-3)

d)

4x²- 5

3.

$\frac{3}{p}+\frac{4}{1-p}$

a)

$\frac{3+4p}{1-p}$

b)

$\frac{3+p}{1-p}$

c)

$\frac{3+p}{p\left(1-p\right)}$

d)

$3+4p^2$

4.

Factorise

(a+3)(a+1)-4(a+1)

a)

(a+1)(a+3-4)

b)

(a+1)(a-1)

c)

(a-1)(a-1)

d)

a² - 1

5.

Express $\frac{p+2q}{2pq}-\frac{p+1}{p}$ as a single fraction in its simplest form

a)

$\frac{1-2q}{2q}$

b)

$\frac{p-2pq}{2pq}$

c)

$\frac{p-2pq+4q}{2pq}$

d)

$\frac{p-2pq-4q}{2pq}$

6.

Simplify.

a)

A

b)

B

c)

C

d)

D

7.

Factor by grouping:

4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

8.

Factorise completely : 2x²- 50

a)

2( x - 5 )²

b)

2( x + 5 )( x - 5)

c)

(2x + 5)(2x - 5)

d)

(2x + 5)(x - 5)

9.

Divide and Simplify

a)

A

b)

B

c)

C

d)

D

10.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

11.

Simplify by cancelling

a)

1

b)

-1

c)

Can't be simplified

d)

x - 6

12.

Factorise completely

16y⁴ - 81x⁴

a)

(4y² + 9x²)(4y² - 9x²)

b)

(4y² + 9x²)(2y + 3x)(2y - 3x)

c)

(4y + 9x)²(4y - 9x)²

d)

4(16y - 81x)

13.

a(x + c) = b(x + d)

a)

X = bd - ac / a - b

b)

X = db + gh / f - f

c)

X = fd - ac / s - d

d)

X = ac + br / d - s

14.

Make a the subject of the formula ab+c=bc-a.

a)

a=c(b-1)/(b+1)

b)

a=c(b+1)/(b-1)

c)

a=c(1-b)/(b+1)

d)

a=c(1-b)/(b-1)

15.

Factorise completely (x - 3a) - b²(x -3a). Type only the last answer.

4 lines

FACTORISATION AND ALGEBRAIC FRACTIOS FORM 2

Total questions: 15

Worksheet time: 15mins

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