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Algebra II SOL Quiz #3

 1. 
What is the domain of the function defined by the following equation:    mc001-1.jpg?
a.
{All real numbers}
c.
{All real numbers less than zero}
b.
{All non-zero real numbers}
d.
{All real numbers greater than zero}
 

 2. 
The following is the graph of a function of x.
mr002-1.jpg
Which appears to be the x-coordinate of when the relative maximum occurs?
 a.
.6
 c.
-2
 e.
-7
 g.
-1
 b.
0
 d.
-9.35
 f.
2
 h.
-8
 

 3. 
What property is illustrated by 75(34 + 56) = (34 + 56)75?
a.
Distributive Property
b.
Commutative Property of Multiplication
c.
Associative Property of Multiplication
d.
Commutative Property of Addition
 

 4. 
If the domain of mr004-1.jpgis {-2, -1, 1, 3}, what is the range?
 a.
{-11}
 c.
{-7}
 e.
{-3}
 g.
{-1}
 b.
{7}
 d.
{2}
 f.
{-2}
 h.
{3}
 

 5. 
Which is the solution set for mr005-1.jpg?
 a.
{-1 - i}
 c.
mr005-2.jpg
 e.
mr005-4.jpg
 g.
mr005-6.jpg
 b.
{-1 + i}
 d.
mr005-3.jpg
 f.
mr005-5.jpg
 h.
mr005-7.jpg
 

 6. 
If the graph represents a polynomial y = P(x), which is the apparent solution set for P(x) = 0?
      mr006-1.jpg
 a.
{ 5}
 e.
{0}
 b.
{-2}
 f.
{-0.5}
 c.
{1.5}
 g.
{-3}
 d.
{-1}
 h.
{3}
 

 7. 
The graph of y = 3x - 2 is translated up 5 units. What is the equation of the new graph?
a.
y = 3x - 7
b.
y = 3x + 5
c.
y = 8x - 2
d.
y = 3x + 3
 

 8. 
Which function has a graph with x-intercepts mc008-1.jpg and mc008-2.jpg?
a.
mc008-3.jpg
c.
mc008-5.jpg
b.
mc008-4.jpg
d.
mc008-6.jpg
 

 9. 
Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean of sa009-1.jpg and a standard deviation of sa009-2.jpg What is the probability that a randomly selected high jumper has a personal best between 199 and sa009-3.jpg
 

 10. 
Which graph best represents the solutions to the inequality mc010-1.jpg ?
a.
mc010-2.jpg
c.
mc010-4.jpg
b.
mc010-3.jpg
d.
mc010-5.jpg
 

 11. 
Which is the solution to |3x - 2| = 6?
 a.
x = mr011-1.jpg
 e.
mr011-5.jpg
 b.
mr011-2.jpg
 f.
mr011-6.jpg
 c.
mr011-3.jpg
 g.
mr011-7.jpg
 d.
x = mr011-4.jpg
 h.
 mr011-8.jpg
 

 12. 
The class average on a math test was 82 and the standard deviation was 5.4. Find the z-score for a test score of 70.  Round your answer to the nearest hundredth
 

 13. 
Using mc013-1.jpg, what is the 10th term in this geometric sequence?
      0.2, 1, 5, 25, 125, . . .
 

 14. 
Which is a zero of the function mr014-1.jpg?
 a.
-1
 c.
1
 e.
4
 g.
-8
 b.
-4
 d.
8
 f.
2
 h.
-2
 

 15. 
Which equation represents the statement     “z varies directly with x and inversely with y”?
a.
mc015-1.jpg
b.
mc015-2.jpg
c.
mc015-3.jpg
d.
mc015-4.jpg
 

 16. 
If an object is thrown upward from a height of h0 feet at an initial velocity of h0 feet per second, its height h (in feet) after t seconds is given by the equation mc016-1.jpg. The Federal Reserve Bank Building in Richmond is 393 feet tall. If a ball is thrown upward from the top of this building at an initial velocity of 50 feet per second, about how long will it take the ball to hit the ground (round to the nearest tenth?
 

 17. 
What is the solution set to the following system of equations  mr017-1.jpg?
 a.
{(8, -14)}
 e.
{(2, -2)}
 b.
{(-2, 6)}
 f.
{(-2, 2)}
 c.
{(-8, 18)}
 g.
{(-8, 2)}
 d.
{(18, -2)}
 h.
{(18, -8)}
 

 18. 
What are the y-coordinates for the solutions to this system of equation?

                                                mc018-1.jpg
a.
y = -7 and y = 6
b.
y = -26 and y = -11
c.
y = -20 and y = -2
d.
y = -27 and y = -18
 

 19. 
Which is an apparent zero of the function shown?
mr019-1.jpg
 a.
0
 c.
3
 e.
1
 g.
-4
 b.
2
 d.
-3
 f.
-2
 h.
-1
 

 20. 
What is the least possible degree of the function graphed below?
mc020-1.jpg
 

 21. 
What are the factors of mr021-1.jpg?
 a.
x - 2
 c.
x - 4
 e.
x
 g.
x + 2
 b.
x + 4
 d.
x - 3
 f.
x + 3
 h.
x + 6
 

 22. 
What are the factors of mr022-1.jpg?
 a.
x + 5
 c.
x - 6
 e.
x
 g.
3x + 2
 b.
x + 1
 d.
2x - 3
 f.
2x + 3
 h.
2x + 6
 

 23. 
The class average on a test was 84, with a standard deviation of 5.4. Find the probability that a student received at least a 70 on the test.
 

 24. 
If the domain of mr024-1.jpg is limited to {-3, -1, 1, 3], what is the range?
 a.
3
 c.
-5
 e.
-15
 g.
21
 b.
15
 d.
1
 f.
-1
 h.
-3
 

 25. 
The volume of a gas varies directly as its temperature and inversely as its pressure. Alison is working with a gas in a laboratory at Lynchburg College. At a temperature of 375 Kelvin and a pressure of 25 pascals, she measured the volume of this gas as 30 cubic centimeters. What volume should she expect if she decreases the temperature to 320 Kelvin and increases the pressure to 40 pascals?
 

 26. 
Given: mc026-1.jpg

What is the vertex of the graph for this function?
a.
(4, 1)
b.
mc026-2.jpg
c.
mc026-3.jpg
d.
mc026-4.jpg
 

 27. 
Given: mc027-1.jpg

What is the local minimum value of f(x) shown above?
a.
-1
b.
1
c.
-4
d.
4
 

 28. 
Which is the solution to |2x - 4| > 8?
 a.
x < -2
 c.
x > 2
 e.
x > -2
 g.
x = 6
 b.
x < -6
 d.
x > 6
 f.
x = 2
 h.
 x < 6
 

 29. 
What is the value of the y-coordinate of the solution to the following system of equations?

mr029-1.jpg
mr029-2.jpg
 a.
-2
 c.
9
 e.
1
 b.
-1
 d.
-9
 f.
2
 

 30. 
If mc030-1.jpg and mc030-2.jpg, what is mc030-3.jpg?
a.
mc030-4.jpg
c.
mc030-6.jpg
b.
mc030-5.jpg
d.
mc030-7.jpg
 

 31. 
If y varies inversely with the square of x, what is the constant of proportionality
when y = 10 and x = 5?
 

 32. 
A population of adult males had their heights measured.  The heights were normally distributed.  Approximately what percentage of the heights, rounded to the nearest whole number, are within one standard deviation of the mean?
 

 33. 
A normally distributed data set of 600 values has a mean of 18.5 and a standard deviation of 3.25

What is the approximate number of values in the data set expected to be 16 or lower?
a.
6
c.
130
b.
22
d.
467
 

 34. 
What are the factors of mr034-1.jpg
 a.
(4xy - 5)2
 c.
(4xy + 5)2
 e.
(4x + 5y)
 b.
(4xy + 5)
 d.
(4xy - 5)
 f.
(4x - 5y)
 

 35. 
What is the solution set for sa035-1.jpg
 



 
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