Exam 2: Review of Basic Algebra

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Solve: 0.5x - 0.75 + 9x = 5x + 1.5

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D

After a reduction of After a reduction of   of the selling price, a VCR was sold for $470.00. Determine the regular selling price. of the selling price, a VCR was sold for $470.00. Determine the regular selling price.

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Let the regular price be y.
Then reduction in price is Let the regular price be y. Then reduction in price is   y. y -   y = 470   y = 470 y = $506.15 The regular selling price is $506.15. y.
y - Let the regular price be y. Then reduction in price is   y. y -   y = 470   y = 470 y = $506.15 The regular selling price is $506.15. y = 470 Let the regular price be y. Then reduction in price is   y. y -   y = 470   y = 470 y = $506.15 The regular selling price is $506.15. y = 470
y = $506.15
The regular selling price is $506.15.

Solve: x - 0.75x = 9.00

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x - .75x = 9.00, .25x = 9.00, x = 36.00

Express in exponential form: log3(243) = 5

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

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Solve: Solve:   (4 - 3x) +   =   x -   (2x - 3) (4 - 3x) + Solve:   (4 - 3x) +   =   x -   (2x - 3) = Solve:   (4 - 3x) +   =   x -   (2x - 3) x - Solve:   (4 - 3x) +   =   x -   (2x - 3) (2x - 3)

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Express in exponential form: log10 Express in exponential form: log<sub>10</sub>   = -2 = -2

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Express in logarithmic form: e4x = 20

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Solve: 2x + 5 = 7

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A clothing store sells fancy hats at a gross margin of $3.50 each and ordinary hats at a gross margin of $5.00 each. During July, 110 hats were sold for a total gross margin of $460.00. How many fancy hats were sold?

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Simplify: Simplify:

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Solve: x + 0.307x = 640.20

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The local amateur soccer club spent $1640 on tickets to a professional hockey game. If the club bought 2.5 times as many eight-dollar tickets than the number of twelve-dollar tickets and four fewer fifteen-dollar tickets than 7/10 the number of twelve dollar tickets, how many of each type of ticket did the club buy?

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Solve: S = P(1 + rt) for t

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Simplify: Simplify:   <sup>-2</sup> -2

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Solve: - Solve: -   x = -49 x = -49

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Simplify: (3)2(3)5

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Calculate: Calculate:

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The rapper Drake hosts a concert at the Air Canada Center, where the ticket price is $240. However, the price of the individual ticket includes the 13% HST. What is the original price of the ticket, excluding the HST?

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Simplify: -(4 - 6a) - (-4 + 3a)

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