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Algebra II SOL Review Quiz #2

 1. 
Body mass index (BMI) is directly proportional to a person’s weight in pounds and inversely proportional to the square of a person’s height in inches.  A person with a BMI of 23.91 has a weight of 135 pounds and a height of 63 inches.  Rounded to the nearest hundredth, what is the BMI of a person with a weight of 145 pounds and a height of 65 inches?
 

 2. 
If mc002-1.jpg, then what is mc002-2.jpg?
a.
mc002-3.jpg
c.
mc002-5.jpg
b.
mc002-4.jpg
d.
mc002-6.jpg
 

 3. 
If the graph represents a polynomial y = P(x), what the apparent factors for P(x) = 0?
      mr003-1.jpg
 a.
x + 5
 e.
x
 b.
x - 2
 f.
x - 3
 c.
x - 1.5
 g.
x + 3
 d.
x - 5
 h.
x + 2
 

 4. 
sa004-1.jpg
 

 5. 
mc005-1.jpg
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 
A normally distributed set of 968 values has a mean of 108 and a standard deviation of 11.  What is the closest to the number of values expected to be above 125?
 

 7. 
What is the solution set for the following equation?

mr007-1.jpg
 a.
mr007-2.jpg
 c.
mr007-4.jpg
 e.
mr007-6.jpg
 b.
mr007-3.jpg
 d.
mr007-5.jpg
 f.
mr007-7.jpg
 

 8. 
Which sequence is arithmetic?
a.
1, –2, 4, –8, ...
c.
5, 10, 15, 20, ...
b.
1, 2, 4, 7, ...
d.
4, 2, 0, –2, ...
 

 9. 
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 mc009-1.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 reach its maximum height?
a.
432
c.
1.56
b.
443
d.
6.8
 

 10. 

mr010-1.jpg
 a.
mr010-2.jpg
 c.
mr010-4.jpg
 b.
mr010-3.jpg
 d.
mr010-5.jpg
 

 11. 
What are the factors of mr011-1.jpg?
 a.
x + 2
 e.
x + 6
 b.
x - 1
 f.
x + 3
 c.
x - 3
 g.
x - 2
 d.
x
 h.
x + 1
 

 12. 

sa012-1.jpg
 

 13. 

sa013-1.jpg
 

 14. 

sa014-1.jpg
 

 15. 
Identify the property that justifies the work between Step 6 and Step 7

Step 1:  mc015-1.jpg
Step 2:  mc015-2.jpg
Step 3:  mc015-3.jpg
Step 4:  mc015-4.jpg
Step 5:  mc015-5.jpg
Step 6:  mc015-6.jpg
Step 7:  mc015-7.jpg
a.
Addition Property of Inequality
e.
Inverse Property of Addition
b.
Multiplicative Property of Inequality
f.
Identity Property of Addition
c.
Identity Property of Multiplication
g.
Distributive Property
d.
Commutative Property of Multiplication
h.
Inverse Property of Multiplication
 

 16. 
Twenty horses competed in a race.  In how many ways could the horses have finished in first place through third place?
 

 17. 
What are the factors of mr017-1.jpg?
 a.
x - 3
 e.
x + 3
 b.
3x - 1
 f.
x + 4
 c.
x - 4
 g.
3x - 2
 d.
2x + 1
 h.
2x + 6
 

 18. 
mc018-1.jpg
a.
mc018-2.jpg
c.
mc018-4.jpg
b.
mc018-3.jpg
d.
mc018-5.jpg
 

 19. 

mr019-1.jpg
 a.
h(x)
 d.
k(x)
 b.
j(x)
 e.
g(x)
 c.
f(x)
 

 20. 
What property is illustrated by 75(34 + 56) = (34 + 56)75?
a.
Commutative Property of Multiplication
b.
Associative Property of Multiplication
c.
Distributive Property
d.
Commutative Property of Addition
 

 21. 
Which function has no real zeros?
a.
mc021-1.jpg
c.
mc021-3.jpg
b.
mc021-2.jpg
d.
mc021-4.jpg
 

 22. 
Find the sum of this series.

mc022-1.jpg
a.
mc022-2.jpg
c.
mc022-4.jpg
b.
mc022-3.jpg
d.
mc022-5.jpg
 

 23. 
Select the best description for the range of the function shown

mc023-1.jpg
a.
All real numbers between -2 and 5
c.
All real numbers
b.
All real numbers except for 2
d.
All real numbers except for -2 and 5
 

 24. 
What are the asymptotes of the function shown?

mr024-1.jpg
 a.
x = 0
 e.
x = -6
 b.
y = -2
 f.
x = 6
 c.
y = 1
 g.
y = 0
 d.
y = 6
 h.
x = -2
 

 25. 

mr025-1.jpg
 a.
-5
 d.
1
 b.
-2
 e.
-1
 c.
5
 

 26. 
The table below provides the value of an account over the time that earned annual compound interest.  There was in initial deposit of $1,500 into the account, and no other deposits were made.

Years051015202530
Value ($)1500.001914.422443.343118.393979.955079.536482.91

Assuming the account continues to grow in the same way, what is the value of the account at the end of 40 years, rounded to the nearest dollar.
 

 27. 

mr027-1.jpg
 a.
f(x)
 d.
k(x)
 b.
g(x)
 e.
j(x)
 c.
h(x)
 

 28. 
Select two true statements about the graph of mr028-1.jpg
 a.
As x approaches negative infinity, f(x) approaches positive infinity
 b.
As x approaches positive infinity, f(x) approaches positive infinity
 c.
As x approaches negative infinity, f(x) approaches negative infinity
 d.
As x approaches positive infinity, f(x) approaches negative infinity
 

 29. 
Which equation shows that z is directly proportional to the square root of x and inversely proportional to the cube of y?
a.
mc029-1.jpg
c.
mc029-3.jpg
b.
mc029-2.jpg
d.
mc029-4.jpg
 

 30. 
mc030-1.jpg
a.
mc030-2.jpg
c.
mc030-4.jpg
b.
mc030-3.jpg
d.
mc030-5.jpg
 

 31. 
As x approaches infinity what does f(x) approach given that nr031-1.jpg?

Answer:  f(x) nr031-2.jpg _______

 

 32. 
Throughout which interval is mc032-1.jpg decreasing?
a.
mc032-2.jpg < x < -1
c.
-1 < x < 2
b.
-20 < x < mc032-3.jpg
d.
-2 < x <0
 

 33. 
A data set has mean of 68.42 and a standard deviation of 7.91.  An element in this set is 57.

What is the z-score for 48?  Round your answer to the nearest thousandth.
 



 
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