burningpony/phd_checker

<h2>Math Quiz  2: Contains X Errors</h2> 

<p>  
1. Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron’s total charge, in dollars, for staying x nights? <span id="2_1" class="correctme"rel="B">A</span> </p> 
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A. (99.5+0.08x)+5 
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B. 1.08(99.95x)+5
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C. 1.08(99.95x+5)
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D. 1.08(99.95+5)x
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2. If k is divisible by 2, 3, and, 15 which of the following is also divisible by these numbers? <b> D </b> </p> 

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A. k+5

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B. k+15

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C. k+20

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D. k+30

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3. A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 34 miles per gallon. Approximately how many gallons of fuel did the car use for the entire 3-hour trip? <b> D </b> </p> 

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A. 2

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B. 3

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C. 6

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D. 7

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4. Two spheres, one with radius 7 and one with radius 4, are tangent to each other. If P is any point on one sphere and Q is any point on the other sphere, what is the maximum possible length of PQ? <b> E </b> </p> 
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A. 7
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B. 11
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C. 14
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D. 18
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E. 22
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5. 110x+y = 1,210
A coffee shop is running a promotion where a number of free coffee samples are given away each day. The equation above can be used to model the number of free coffee samples, y, that remain to be given away x days after the promotion began. What does it mean that (11, 0) is a solution to this equation? <b> C </b> </p> 
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A. During the promotion, 11 samples are given away each day.       
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B. It takes 11 days during the promotion to see 1,210 customers
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C. It takes 11 days during the promotion until none of the samples are remaining.                      
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D. There are 11 samples available at the start of the promotion.
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6. Which ordered pair (x, y) satisfies the system of equations shown below? <b> C </b>
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2x-y = 6 
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x+2y = -2    </p> 

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A. (−6, 2)      

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B. (−2, 2)       

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C. (2, −2)      

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D. (4,2)

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7. Tyra subscribes to an online gaming service that charges a monthly fee of $5.00 and $0.25 per hour for time spent playing premium games. Which of the following functions gives Tyra’s cost, in dollars, for a month in which she spends x hours playing premium games? <b> C </b> </p> 

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A.  C(x)= 5.25x     

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B. C(x)=5x+0.25      

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C. C(x)=5+0.25x   

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D. C(x)=5+25x

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</p>
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8. If (x-2)<sup>2</sup> =49 , then x could be <span id="2_8" class="correctme"rel="E">E</span> </p> 
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A. -9
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B. -7
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C. 2
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D. 5
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E. 9
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<p>  
9. A company’s profit, P, in dollars, for producing x machines in one day is given by P= 500x-20x<sup>2</sup> . If the company produces 10 machines in one day, then, according to this formula, what is the profit for that day? <span id="2_9" class="correctme"rel="C">C</span> </p> 
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A. $5,000
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B. $4,000
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C. $3,000
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D. $2,000
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E. $1,000
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10. The average (arithmetic mean) of t and y is 15, and the average of w and x is 15. What is the average of t, w, x, and y? <span id="2_10" class="correctme"rel="B">D</span> </p> 
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A. 7.5
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B. 15
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C. 22.5
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D. 30
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E. 60
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11. What is the total number of right angles formed by the edges of a cube? <b> B </b> </p> 
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A. 36
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B. 24
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C. 20
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D. 16
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E. 12
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<p>  
12. Roy planted corn on 1/5 of his land. If he planted 45 acres of corn, how many acres of land does he have? <b> D </b> </p> 
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A. 90
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B. 112.5
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C. 135
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D. 225
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E. 337.5
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