Exam 1: Review of Algebra

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Solve the equation: (3x - Solve the equation: (3x -    - 9(1 +    = 16 - 9(1 + Solve the equation: (3x -    - 9(1 +    = 16 = 16

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Solve: Solve:    = x -5 = x -5

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Divide and simplify: ( Divide and simplify: (    + (    - 3y)÷ (  + ( Divide and simplify: (    + (    - 3y)÷ (  - 3y)÷ ( Divide and simplify: (    + (    - 3y)÷ (

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Simplify and express your answer in terms of positive exponents; rationalize the denominator to avoid fractional exponents in the denominator: Simplify and express your answer in terms of positive exponents; rationalize the denominator to avoid fractional exponents in the denominator:

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  = =

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A number squared is four more than the opposite of three times the number.What is the number?

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    =     = =

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Solve: Solve:    - 3(1-x)= 4 - 3(1-x)= 4

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(4 - (4 -   y)(4 +   y.= y)(4 + (4 -   y)(4 +   y.= y.=

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Evaluate: Evaluate:

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  -   = -   -   = =

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Determine whether the following equation has real roots.If it has real roots,find them,otherwise say no real roots. Determine whether the following equation has real roots.If it has real roots,find them,otherwise say no real roots.    +    = 1 + Determine whether the following equation has real roots.If it has real roots,find them,otherwise say no real roots.    +    = 1 = 1

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

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(x - (x -   )(x +   )= )(x + (x -   )(x +   )= )=

(Multiple Choice)
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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.Talia is 13 feet higher and sees 0.85 farther than John.How high are Talia and John above the surface?

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How many of the following statements are correct? I.-4 is a rational number II. How many of the following statements are correct? I.-4 is a rational number II.   Is an integer III.0 is an integer IV.   Is a rational number Is an integer III.0 is an integer IV. How many of the following statements are correct? I.-4 is a rational number II.   Is an integer III.0 is an integer IV.   Is a rational number Is a rational number

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Solve: x = 2x - (6 - x)

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Solve: 2 + Solve: 2 +    = 4x = 4x

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Simplify: Simplify:      Simplify:

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