Algebraic Fractions Worksheet #01, Algebra Revision From Gcse Maths Tutor

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fractions

Algebra - fractions GCSE Maths Tutor

question sheet A-F-01

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1. Express each fraction in its simplest form: (a)

3( x + 1) x +1

(d)

y−2 2− y

(g)

5x 10 + 15 x

x− y y−x

(c)

a −3 3− a

(e)

4x + 8 4

(f)

9 x − 27 3

(h)

5 − 2x 4 x − 10

(i)

3 + 5a 15a + 9

(b)

2. Express each fraction in its simplest form:

3x (a) 3x − 9

15 x + 20 x 2 (b) 5x

x+3 (d) 2 x + 5x + 6

x2 − y2 (e) ( x − y)2

a 2 − 4a (g) 2 a − 16

x 2 + xy (h) 2 x − y2

(c)

x +1 x2 + 2 x + 1

( x + y) (f)

2

x2 − y 2

(i)

2x + 1 6 x2 + x − 1

3. Express each fraction in its simplest form: (a)

3 x + x −1 x −1

(b)

(d)

x 3 − x + 1 2x −1

(e)

3 x + x −1 2x − 3 6 a − 1 − 2a 3 + a

(c)

a 2 + a+3 a−2

(f)

3 5 − 2x + 3y x − y

4. Express each fraction in its simplest form:

x2 3+ x × (a) 2 x − 2x x

2x + 2 12 (b) × 3x 12 x − 8

3x 2 x × 2 (c) 4 x − x−6

x2 − y 2 x + y ÷ (d) x x

a 2a ÷ (e) 2 a − b2 a − b

x 2 − 16 x − 4 ÷ (f) 2 3x x

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Algebra - fractions GCSE Maths Tutor

1.

fractions

answer sheet A-F-01

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(a) 3

(b) −1

(c) −1

(d) −1

(e) x + 2

(f) 3 x − 9

1 2

(i)

1 3

(c)

1 x +1

x+ y x− y

(f)

x+ y x− y

x x− y

(i)

1 3x − 1

(g)

x 2 + 3x

(h) −

(a)

x x−3

(b) 3 + 4x

(d)

1 x+2

(e)

(g)

a a+4

(h)

2.

3.

3+ x (a) x −1

x2 + 5x − 9 (b) ( x − 1)(2 x − 3)

a2 + 6 (c) (a + 3)(a − 2)

2 x2 − 4 x − 3 (d) ( x + 1)(2 x − 1)

2a 2 + 5a + 18 (e) (1 − 2a )(3 + a )

(f)

3+ x (a) x−2

2x + 2 (b) 3x 2 − 2 x

(d) x − y

(e)

−7 x − 18 y (2 x + 3 y )( x − y )

4.

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1 2(a + b)

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3x3 (c) 4( x − 3)( x + 2) (f)

3( x + 4) x

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