Exam 1: Review of Algebra

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Completely factor: 4 Completely factor: 4    + 6    - 2  + 6 Completely factor: 4    + 6    - 2  - 2 Completely factor: 4    + 6    - 2

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

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Simplify: ( Simplify: (    - a)(    + a) - a)( Simplify: (    - a)(    + a) + a)

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Simplify: 0(2 + x)

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Solve: Solve:    +    = 1 + Solve:    +    = 1 = 1

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Completely factor: (2x + 1)(3x - 5)- (7x + 1)(3x - 5)

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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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In a city of 100,000,people of age 65 and over make 15 % of the total population.Among those of age 65 and over,55 % are females.How many females of age 65 and over are in this city?

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

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Evaluate: Evaluate:

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Solve: Solve:    + x - 2 = 0 + x - 2 = 0

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Your neighbor wants to carpet the rooms in her house.The widths of the rooms in her house are 1 yard less than the lengths.Write an equation which represents the area A of carpet needed for a room with length l.

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Solve for x: a(2 -x)= 3b

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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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The roots of (x - 1)(x + 2)= 10 are

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Completely factor: Completely factor:    - 1 - 1

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  = =

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The miles a person can see to the horizon from a point above the surface of Earth is 0.85 of the square root of the person's distance in feet above the surface.Sean is 65 feet higher and sees 4.25 miles farther than Craig.How high are Sean and Craig above the surface?

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Evaluate: Evaluate:

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If mt + gt = 2(3 + t),solve for t.

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