Exam 1: Review of Algebra

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Perform the operation and simplify your answer: Perform the operation and simplify your answer:    ∙  ∙ Perform the operation and simplify your answer:    ∙

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One factor of 2 One factor of 2     -   Is One factor of 2     -   Is - One factor of 2     -   Is Is

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Rationalize the denominator and simplify: Rationalize the denominator and simplify:

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Solve: Solve:    -    + 1 = 0 - Solve:    -    + 1 = 0 + 1 = 0

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Rationalize the denominator: Rationalize the denominator:

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Solve the equation by using quadratic formula: Solve the equation by using quadratic formula:    + p - 1 = 0 + p - 1 = 0

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Solve: Solve:    - x = 3 - x = 3

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One factor of One factor of   - 64 is - 64 is

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Solve the equation: Solve the equation:    =  = Solve the equation:    =

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Completely factor: 2 Completely factor: 2    - 8 - 8

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Multiply and simplify: (x + 4)3

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Sally earns $15.00 per hour She has decided to automatically save one tenth of the money she earns after her weekly $10.00 Health Care Costs have been subtracted.She wants to save at least $50.00 each week.How many hours must she work each week?

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Solve the equation by factoring: Solve the equation by factoring:    + 13x + 5 = 0 + 13x + 5 = 0

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Simplify: Simplify:

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Simplify: Simplify:    -  - Simplify:    -

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State the property of real numbers that is being used: 4(x + y)= 4x + 4y

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  ÷   = ÷   ÷   = =

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A garage door company's total monthly revenue from the sale of x garage doors is given by R = 925x and its total monthly costs are given by c = 575x + 2100.How many garage doors need to be sold each month to break even? In other words,when will revenue equal costs?

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Find the sum of the roots of Find the sum of the roots of   + 7x - 6 = 0. + 7x - 6 = 0.

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State the property of real numbers that is being used: 7 + ab = ab + 7

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