Exam 1: Review of Algebra

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Suppose the ratio of the number of hours a coffee shop is opened to the number of daily customers it gets is constant.When it is opened 3 hours,the number of customers is 180 less than the maximum number of customers.When it is opened 11 hours,the number of customers is 20 less than the maximum number of customers.Write an equation describing this situation and find the maximum number of daily customers.

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Multiply and simplify: (3x + 4y)2

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

(Short Answer)
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Simplify and express your answer in terms of positive exponents: Simplify and express your answer in terms of positive exponents:      Simplify and express your answer in terms of positive exponents:

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Completely factor: Completely factor:        - (x + 3)  Completely factor:        - (x + 3)  - (x + 3) Completely factor:        - (x + 3)

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Perform the operation and simplify your answer: Perform the operation and simplify your answer:    - 1 - 1

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Exactly how many of the following equations are guaranteed to be equivalent to Exactly how many of the following equations are guaranteed to be equivalent to   - 2x = 3? I.x(x - 2)= 3 II.x - 2 = 3 III.   -   = 3x IV.   - 2x + 3 = 0 - 2x = 3? I.x(x - 2)= 3 II.x - 2 = 3 III. Exactly how many of the following equations are guaranteed to be equivalent to   - 2x = 3? I.x(x - 2)= 3 II.x - 2 = 3 III.   -   = 3x IV.   - 2x + 3 = 0 - Exactly how many of the following equations are guaranteed to be equivalent to   - 2x = 3? I.x(x - 2)= 3 II.x - 2 = 3 III.   -   = 3x IV.   - 2x + 3 = 0 = 3x IV. Exactly how many of the following equations are guaranteed to be equivalent to   - 2x = 3? I.x(x - 2)= 3 II.x - 2 = 3 III.   -   = 3x IV.   - 2x + 3 = 0 - 2x + 3 = 0

(Multiple Choice)
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Evaluate: Evaluate:

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Solve the equation by using quadratic formula: Solve the equation by using quadratic formula:    + 5x - 7 = 0 + 5x - 7 = 0

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Multiply and simplify: (a + b)(a - b)(2a + b)

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Solve the equation by factoring: Solve the equation by factoring:    - 4    - 21x = 0 - 4 Solve the equation by factoring:    - 4    - 21x = 0 - 21x = 0

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Solve: (2x + Solve: (2x +    - (3x +    + 5    + 8x + 3 = 0 - (3x + Solve: (2x +    - (3x +    + 5    + 8x + 3 = 0 + 5 Solve: (2x +    - (3x +    + 5    + 8x + 3 = 0 + 8x + 3 = 0

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Solve: Solve:    =  = Solve:    =

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Simplify: 5 Simplify: 5

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Completely factor: Completely factor:    - 2x + 3 - 2x + 3

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Find s explicitly in terms of the other unknowns: 5stq + 6ps = 2 - 3s

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Factoring Factoring     -     Gives Factoring     -     Gives - Factoring     -     Gives Factoring     -     Gives Gives

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  = =

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   is an irrational number. is an irrational number.

(True/False)
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Solve the equation: (1 - Solve the equation: (1 -    - 25(x -    = 16 - 25(x - Solve the equation: (1 -    - 25(x -    = 16 = 16

(Short Answer)
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