burningpony/phd_checker

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<h2>Math Quiz  1: Contains X Errors</h2> 

<p>  

1. A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most, how many 20-ounce bottles can be filled from the tank? <span id="1_1" class="correctme"rel="D">A</span> </p> 

<p>

A. 25

</p>

<p>

B. 78

</p>

<p>

C. 2560

</p>

<p>

D. 3200

</p>
<p>
</p>
<p>  
2. If f(x-1) = 2x+3 for all values of x, what is the value of f(-3)? <span id="1_2" class="correctme"rel="D">B</span> </p> 
<p>
A. -7                      
</p>
<p>
B.  -5                          
</p>
<p>
C.  -3
</p>
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D. -1
</p>
<p>
</p>
<p>  
3. N = 456 -3T <p> </p>
The equation above is used to model the relationship between the number of cups, n, of hot chocolate sold per day in a coffee shop and the average daily temperature, T, in degrees Fahrenheit. According to the model, what is the meaning of the 3 in the equation? <span id="1_3" class="correctme"rel="D">B</span> </p> 
<p>
A. For every increase of 3°F, one more cup of hot chocolate will be sold.                       
</p>
<p>
B.  For every decrease of 3°F, one more cup of hot chocolate will be sold.                            
</p>
<p>
C.  For every increase of 1°F, three more cups of hot chocolate will be sold
</p>
<p>
D. For every decrease of 1°F, three more cups of hot chocolate will be sold
</p>
<p>
</p>
<p>  
4. 3(x+y) = y <p> </p>
If (x, y) is a solution to the equation above and y does not equal 0, what is the ratio x/y? <span id="1_4" class="correctme"rel="B">B</span> </p> 
<p>
A. -4/3
</p>
<p>
B. -2/3
</p>
<p>
C. 1/3
</p>
<p>
D. 2/3
</p>
<p>
</p>

<p>  
5. A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of 2 to 3 to 5, respectively, by weight. What fraction of the mixture by weight is pineapple? <span id="1_5" class="correctme"rel="A">A</span> </p> 
<p>
A. 1/5
</p>
<p>
B. 3/10
</p>
<p>
C. 2/5
</p>
<p>
D. 1/2
</p>
<p>
E. 2/3
</p>
<p>
</p>
<p>
6. A rectangle has perimeter P, length A and width w. Which of the following represents A in terms of P and w? <span id="1_6" class="correctme"rel="C">A</span> </p> 

<p>

A. A=P-w

</p>

<p>

B. A=(2P-w)/2

</p>

<p>

C. A=(P-2w)/2

</p>

<p>

D. A=2-2Pw

</p>
<p>
</p>
<p>  

7. What is the slope of the line in the xy-plane that passes through the points ( -5/2, 1) and (-1/2, 4)? <span id="1_7" class="correctme"rel="D">D</span> </p> 

<p>

A. -1

</p>

<p>

B. -2/3

</p>

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C. 1

</p>

<p>

D. 3/2

</p>
<p>
</p>
<p>  
8. Which of the following is equivalent to (s-t)(s/t)? <span id="1_8" class="correctme"rel="C">D</span> </p> 
<p>
A. (s/t) – s                     
</p>
<p>
B.  (s/t) – st                                     
</p>
<p>
C.  (s<sup>2</sup>/t) – s          
</p>
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D. (s<sup>2</sup>/t) – (s/t<sup>2</sup> )
</p>
<p>
</p>

<p>  
9. If y=x<sup>3</sup>+2x+5 and z=x<sup>2</sup>+7x+1 what is 2y+z in terms of x? <span id="1_9" class="correctme"rel="C">C</span> </p> 
<p>
A. 3x<sup>3</sup>+11x+11
</p>
<p>
B. 2x<sup>3</sup>+x<sup>2</sup>+9x+ 6 
</p>
<p>
C. 2x<sup>3</sup>+x<sup>2</sup>+11x+11
</p>
<p>
D. 2x<sup>3</sup>+2x<sup>2</sup>+18x+12
</p>
<p>
</p>
<p>  
10. A boat costs x dollars, and this cost is to be shared equally by a group of people. In terms of x, how many dollars less will each person contribute if there are 4 people in the group instead of 3? <span id="1_10" class="correctme"rel="A">A</span> </p> 
<p>
A. x/12
</p>
<p>
B. x/4
</p>
<p>
C. x/3
</p>
<p>
D. 7x/12
</p>
<p>
E. 7x
</p>
<p>
</p>
<p>  
11. The graph of  y=(2x-4)(x-4) is a parabola in the xy-plane. In which of the following equivalent equations do the x- and y-coordinates of the vertex of the parabola appear as constants or coefficients? <span id="1_11" class="correctme"rel="C">A</span> </p> 
<p>
A.  y= 2x<sup>2</sup>-12x+16 
</p>
<p>
B. y=2x(x-6)+16 
</p>
<p>
C.  y=2(x-3)<sup>2</sup>+(-2)
</p>
<p>
D. y=(x-2)(2x-8)
</p>
<p>
</p>
<p>
12. If (p+1)(t-3)=0 and p is positive, what is the value of t? <span id="1_12" class="correctme"rel="E">E</span> </p> 
<p>
A.-3
</p>
<p>
B.-1
</p>
<p>
C. 0
</p>
<p>
D. 1
</p>
<p>
E. 3
</p>