ACE College Algebra II - Unit 8 Review

Given the rational expression above, which of the following values of x are restricted values?

I. x = -1

II. x = -3/2

III. x = 5

• I and II only

• II only

• II and III only

• I, II and III

• III only

What is the value of x² + ¼⋅x if x is the solution to the above equation ?

• ⅝

• -⅜

• -¾

• ¼

• The equation has no solution.

Completely simplify the expression above assuming that all variables represent positive values.

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Perform the indicated operation for the expression above and leave your answer in simplest, factored form.

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Perform the indicated operation on the expression above and leave your answer in simplest, factored form.

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Solve the equation above.

• x = 2

• x = 4

• x = 8

• No solution

Simplify the expression above by rationalizing its denominator.

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If the solutions to the equation above are a and b,

find |a - b|.

• 3

• 9

• 12

• 15

Simplify the complex fraction above.

• 1

• 12

• x/12

• 12/x

Simplify the expression above.

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