Exam 1: Review of Algebra

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Solve: Solve:    +    = 2 + Solve:    +    = 2 = 2

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Given the numbers 4,-7, Given the numbers 4,-7,    ,π,0,- 0.2,list those that are rational. ,π,0,- 0.2,list those that are rational.

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Solve: 0.4x - 3 = 6

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The difference between the length of a ramp and the length of the horizontal distance it covers is 1 foot.The square of the vertical distance it covers is 9 feet.What is the length of the ramp?

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       =         =  =        =

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10 L solution of water and acetic acid contains 10% of the acid.15 L of water was added to the solution.What is the percentage of the acetic acid in the new solution?

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Solve: Solve:    - 1 =  - 1 = Solve:    - 1 =

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Simplify: (7x) Simplify: (7x)

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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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Divide and simplify: Divide and simplify:

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Find the real roots of the equation: (x + Find the real roots of the equation: (x +    - 8 = 0 - 8 = 0

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Simplify the following; express your answer with no radical in the denominator: Simplify the following; express your answer with no radical in the denominator:

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Perform the operations and simplify: x(x + 4)- (x + 4)(x - 5)

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  ÷   = ÷   ÷   = =

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Suppose the weekly revenue for a company is given by r = Suppose the weekly revenue for a company is given by r =    + 60p where p is the price of their service.What is the price of their service if the revenue is $400? + 60p where p is the price of their service.What is the price of their service if the revenue is $400?

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Divide and simplify: ( Divide and simplify: (        -    y - x)÷ (2xy) Divide and simplify: (        -    y - x)÷ (2xy) - Divide and simplify: (        -    y - x)÷ (2xy) y - x)÷ (2xy)

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Solve: Solve:    =  = Solve:    =

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Multiply and simplify: Multiply and simplify:

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Solve the equation S = P(1 + rt)for t.

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Completely factor: Completely factor:    - 16 - 16

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