# Worksheet: Simplifying Rational Expressions

In this worksheet, we will practice simplifying rational expressions.

Q1:

Fully simplify .

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Q2:

Fully simplify .

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Q3:

Fully simplify .

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Q4:

Fully simplify .

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Q5:

Simplify , where , and evaluate this expression when and .

• A , 27
• B , 3
• C ,
• D , 27

Q6:

Given that and , find the value of .

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Q7:

Scarlett is tiling her bathroom floor. To find the number of tiles she needs, she writes the following rational expression, which divides the area of the room by the area of each tile: Write this expression in its simplest form.

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Q8:

Victoria wants to lay sod in her yard. The area of her yard is ft2 and each roll of sod has an area of ft2. Find the number of rolls of sod she needs to buy. Write your answer as an algebraic fraction in its simplest form.

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Q9:

Michael wants to mulch his garden. His garden is ft2 and one bag of mulch covers ft2. Write, in its simplest form, a rational function that describes the number of bags of mulch Michael needs to buy.

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Q10:

Fully simplify .

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Q11:

Simplify as much as possible.

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Q12:

Fully simplify .

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