Algebraic Fractions

.

1

Express 

as a single fraction in its simplest form.

3 Marks

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5x - 7 / (x - 5)(x + 1)

2

Express 

as a single fraction in its simplest form.

3 Marks

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x + 12/x(x-3)

3

Simplify

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x  - 7/ x - 3

4

Express 

as a single fraction in its simplest form.

3 Marks

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19 - 13x/ (x - 3)(2 - x)

5

Simplify

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2x / x + 4

6

Express

 as a single fraction in its simplest form.

3 Marks

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4 / 5g³

7

Express 

as a single fraction in its simplest form.

3 Marks

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4x + 1 / (x - 2)(x - 5)

8

a Factorise x² - 100

1 Marks

b Hence simplify: 

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a (x - 10)(x + 10)

b (x + 10) / (x + 2)

9

Express

as a single fraction in its simplest form.

3 Marks

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8x + 3 / (x + 3)(x - 4)

10

Express 

as a single fraction in its simplest form.

3 Marks

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7x - 16/ (x + 3)(x - 2)

11

Express 

as a single fraction in its simplest form.

3 Marks

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x - x² /(x - 3)(x + 5)

12

Express

 as a single fraction in its simplest form.

3 Marks

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16 - x / (x - 2)(2x + 3)

13

Express

 as a single fraction in its simplest form.

3 Marks

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x - 35 / x(x - 5)

14.

Express 

as a single fraction in its simplest form.

3 Marks

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6/(w - 3)