Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The non-permissible value(s) for the rational expressions  is
(are) A | x ¹  , x ¹ - | C | x ¹
 | B | x ¹  | D | x ¹ 4 |
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2.
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The non-permissible value(s) for the expression  is (are) A | x ¹  | C | x ¹  and x ¹
–7 | B |  | D | there are no restrictions |
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3.
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Simplify the rational expression  .
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4.
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Simplify the rational expression  . Express your answer with positive
exponents only.
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5.
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Express the product  in simplest form.
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6.
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Express the quotient  in simplest form.
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7.
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When fully simplified,  is equal to
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8.
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When fully simplified, ignoring restrictions on the variable,  is equal
to
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9.
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Simplify  . State any non-permissible values.
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10.
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Courtney and Kurtis are planning to travel 60 km in a car by travelling at
x kilometres per hour for the first half of the distance, and then increasing their speed by 5
km/h to finish the distance. Which is the correct simplified expression for the total time of the
trip?
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Short Answer
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Simplify each expression and state any non-permissible values.
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1.
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Simplify each expression and state any non-permissible values.
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2.
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3.
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Problem
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1.
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i) Predict whether the functions in each pair are equivalent by testing
three different values of x.
ii) Determine whether the functions in each pair
are equivalent by simplifying the expression on the right side. a)  b)
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2.
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a) Simplify the expressions for A and B, where 
and  . b) Are the two expressions equivalent? Justify your answer. c)
Determine i) A - Bii)
ABiii) B ¸ A
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