Exam 1: Review of Algebra

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One factor of x(y + 6)+ 2(y + 6)is

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Simplify: Simplify:    (    )<sup>2</sup> ( Simplify:    (    )<sup>2</sup> )2

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S = S =    is the formula for the surface area S of a cube with sides of length l.You have wrapping paper with surface area S.What is the length of the side of the largest cube the wrapping paper can cover? is the formula for the surface area S of a cube with sides of length l.You have wrapping paper with surface area S.What is the length of the side of the largest cube the wrapping paper can cover?

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Simplify: -(4 - x)

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Evaluate: Evaluate:

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( (   - 1)(   - 3x + 6)= - 1)( (   - 1)(   - 3x + 6)= - 3x + 6)=

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

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Multiply and simplify: (x + 2)(x + 4)

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Simplify: 7(x - 2)

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Completely factor: Completely factor:    + 5    + 6x + 5 Completely factor:    + 5    + 6x + 6x

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Simplify: Simplify:    +    +  + Simplify:    +    +  + Simplify:    +    +

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  = =

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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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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 $18,750? + 400p where p is the price of their product.What is the price of their product if the weekly revenue is $18,750?

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Simplify: (x + y + z)- (x + 3y - 7z)- (-3x - y + 8z)

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Simplify: Simplify:    ∙  ∙ Simplify:    ∙

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Factoring Factoring   - 81 gives - 81 gives

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Simplify; Simplify;    ×  × Simplify;    ×

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

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

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