Exam 1: Review of Algebra

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Simplify: Simplify:

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  = =

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Solve: Solve:    - 4 = 0 - 4 = 0

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Suppose the height h in feet of fireworks fired straight upward from the ground is given h = 160t - Suppose the height h in feet of fireworks fired straight upward from the ground is given h = 160t -    where t is in seconds.When will the fireworks be 400 feet off the ground? where t is in seconds.When will the fireworks be 400 feet off the ground?

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The roots of The roots of   - x = 7 are - x = 7 are

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  +   = +   +   = =

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Subtract the algebraic expressions: Subtract the algebraic expressions:    -  - Subtract the algebraic expressions:    -

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Simplify: Simplify:

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Completely factor: Completely factor:    -  - Completely factor:    -

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Solve: x(4 - 2x)= -16

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Simplify: Simplify:

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Completely factor: Completely factor:    + 5x + 3 + 5x + 3

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Simplify: Simplify:   ∙  ∙ Simplify:   ∙

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Simplify into a single fraction and give your answer with positive exponents only: Simplify into a single fraction and give your answer with positive exponents only:

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Simplify and express your answer in terms of positive exponents: Simplify and express your answer in terms of positive exponents:      Simplify and express your answer in terms of positive exponents:

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Solve: (10 - 2x)(5 - x)= 50

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  -   = -   -   = =

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Jerry earns $26.00 per hour.He has decided his entertainment budget should be one eighth of the money he earns after his weekly $20.00 of automatic savings has been subtracted.He wants to spend at least $95.00 each week on entertainment.How many hours must he work each week?

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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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Rationalize the numerator of Rationalize the numerator of    and simplify: and simplify:

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