Exam 1: Review of Algebra

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Simplify: 7(x - y)- 4(y - x)

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Solve: Solve:    - 3x = 0 - 3x = 0

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

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

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(x + 6)(x - 2)=

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Simplify and express your answer in terms of positive exponents: ( Simplify and express your answer in terms of positive exponents: (        )<sup>5</sup> Simplify and express your answer in terms of positive exponents: (        )<sup>5</sup> )5

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C = 2πr is the formula for the circumference of a circle having a radius r.What is the radius of a bicycle wheel which has a circumference C?

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Completely factor: 5x - 5

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Simplify: a Simplify: a    + b    +    b + b Simplify: a    + b    +    b + Simplify: a    + b    +    b b

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Multiply and simplify: Multiply and simplify:      Multiply and simplify:

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Solve: x(x - 2)- (x + Solve: x(x - 2)- (x +    = 3 = 3

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Evaluate: Evaluate:

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Simplify: 2 Simplify: 2

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Multiply and simplify: (t + 3)(t - 3)

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Divide the polynomial 2 Divide the polynomial 2    + 3x + 5 by x - 2 to give the quotient and remainder. + 3x + 5 by x - 2 to give the quotient and remainder.

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Multiply and simplify: (2 Multiply and simplify: (2    - 5)(2    + 5) - 5)(2 Multiply and simplify: (2    - 5)(2    + 5) + 5)

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Evaluate: Evaluate:

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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 =    + 400p where p is the price of their product.What is the price of their product if the weekly revenue is $25,000? + 400p where p is the price of their product.What is the price of their product if the weekly revenue is $25,000?

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Solve: (x + Solve: (x +    - 2x =    + 2 - 2x = Solve: (x +    - 2x =    + 2 + 2

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One factor of 6 One factor of 6   - 17x + 10 is - 17x + 10 is

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