Name: 
 

2003 Algebra 2



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

What property is illustrated by the equation

              mc001-1.jpg

a.
Associative Property of Addition
b.
Reflexive Property of Equality
c.
Associative Property of Multiplication
d.
Distributive Property
 

 2. 

Which of the following statements is an example of the transitive property of inequalities?
a.
If k ³ 0, then |k| = k.
c.
If k < 6, then k + 2 < 8.
b.
If k < 6 and 6 <  m, then k < m.
d.
If k < 6 and j > 0, then kj < 6j.
 

 3. 

Which expression is equal to
       mc003-1.jpg

a.

mc003-2.jpg
b.

mc003-3.jpg
c.

mc003-4.jpg
d.

mc003-5.jpg
 

 4. 

Which is equivalent to
          mc004-1.jpg
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
 

 5. 

Which is equivalent to mc005-1.jpg?
a.
2
b.
mc005-2.jpg
c.
mc005-3.jpg
d.
mc005-4.jpg
 

 6. 

Which is equivalent to mc006-1.jpg?
a.

mc006-2.jpg
b.

mc006-3.jpg
c.

mc006-4.jpg
d.

mc006-5.jpg
 

 7. 

Which is a factored form of 9x2 - 25?
a.
(3x - 5) ( 3x + 5)
b.
(3x - 5)2
c.
(3x + 5)2
d.
(9x - 25)2
 

 8. 

Which is a factor of
           mc008-1.jpg
a.
(x - 3)
b.
(x - 15)
c.
(x + 3)
d.
(x + 5)
 

 9. 

Which is equivalent to
        mc009-1.jpg
a.
-4 + 19i
b.
16 + 19i
c.
6 + 29i
d.
6 - 10i
 

 10. 

Which is equivalent to mc010-1.jpg  ?
a.
3i
b.
-3i
c.
9
d.
9i
 

 11. 

Which type of function is shown?
             mc011-1.jpg
a.
Absolute value
b.
Exponential
c.
Linear
d.
Quadratic
 

 12. 

Which function includes the values in the table?
           mc012-1.jpg
a.
y = x - 1
b.
y = x + 1
c.
y = x2 - 1
d.
y = (x - 1)2
 

 13. 

Which function is most closely represented by the graph?
          mc013-1.jpg
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
d.
mc013-5.jpg
 

 14. 

What is the zero of the function
                    mc014-1.jpg
a.
27
b.
mc014-2.jpg
c.
0
d.
mc014-3.jpg
 

 15. 

If the domain of f(x) = 3x + 5 is {-1, 0, 1, 2, 3}, what is the range?
a.
{0, 2, 9, 11, 14}
b.
{-8, -5, -2, 1, 4}
c.
{-4, -2, -1, 5, 8}
d.
{2, 5, 8, 11, 14}
 

 16. 

The polynomial function
mc016-1.jpg
has a zero between —
a.
-4 and -3
b.
-2 and -1
c.
-1 and 0
d.
3 and 4
 

 17. 

If a, b, c, d, and g are real numbers and a > 0, which equation could be represented by this curve?
       mc017-1.jpg

a.
y = ax + b
b.
y = ax2 + bx +c
c.
y = ax3 + bx2 +cx +d
d.
y = ax4 + bx3 + cx2 + dx + g
 

 18. 

What is the value of
               mc018-1.jpg

a.
62
b.
126
c.
128
d.
252
 

 19. 

If mc019-1.jpg, then what is mc019-2.jpg?
a.
mc019-3.jpg
b.
mc019-4.jpg
c.
mc019-5.jpg
d.
mc019-6.jpg
 

 20. 

In which of the following is z directly proportional to x and inversely proportional to the square of y?
a.

mc020-1.jpg
b.

mc020-2.jpg
c.

mc020-3.jpg
d.

mc020-4.jpg
 

 21. 

The time required to complete a job varies inversely as the number of people working. It took 4 hours for 7 electricians to wire a building. How long would it have taken 3 electricians to have done the job?
a.
1 hr 43 min
b.
5 hr 15 min
c.
7 hr 30 min
d.
9 hr 20 min
 

 22. 

Which apparently is a graph of a quadratic function that has no real zeros?
a.

mc022-1.jpg
c.

mc022-3.jpg
b.

mc022-2.jpg
d.

mc022-4.jpg
 

 23. 

Which graph shows the solution set for
              mc023-1.jpg
a.

mc023-2.jpg
b.

mc023-3.jpg
c.

mc023-4.jpg
d.

mc023-5.jpg
 

 24. 

Which inequality describes the solution set graphed below?
                         mc024-1.jpg
a.

mc024-2.jpg
b.

mc024-3.jpg
c.

mc024-4.jpg
d.

mc024-5.jpg
 

 25. 

What are the solutions to
                          mc025-1.jpg
a.
mc025-2.jpg
b.
mc025-3.jpg
c.
mc025-4.jpg
d.
mc025-5.jpg
 

 26. 

Which is apparently the graph of
                      mc026-1.jpg
a.

mc026-2.jpg
c.

mc026-4.jpg
b.

mc026-3.jpg
d.

mc026-5.jpg
 

 27. 

This is a graph of a rational function, f.
mc027-1.jpg
Which is not a solution of the equation f(x) = 0?
a.
-2
b.
-1
c.
1
d.
2
 

 28. 

Which is the solution set for
            mc028-1.jpg
a.

mc028-2.jpg
b.

mc028-3.jpg
c.

mc028-4.jpg
d.

mc028-5.jpg
 

 29. 

What is the solution set for
                              mc029-1.jpg
a.
{-7, 7}
b.
{-5, 5}
c.
{7}
d.
{5}
 

 30. 

For which value of x does
                                mc030-1.jpg
a.
-8
b.
mc030-2.jpg
c.
mc030-3.jpg
d.
8
 

 31. 

The length, s, (in feet) of the skid mark left by an automobile traveling at r miles per hour can be approximated by the relation mc031-1.jpg. At the scene of an accident, police measured a skid mark of 361 feet. About how many miles per hour was the car traveling when the brakes were applied?
a.
42 mph
b.
54 mph
c.
76 mph
d.
85 mph
 

 32. 

Which function of x would have x-intercepts mc032-1.jpg and 3?
a.
y = 2x2 - 5x - 3
b.
y = x2 - x - 6
c.
y = 2x2 + 5x - 3
d.
y = 2x2 +7x + 3
 

 33. 

Which set contains 3 apparent zeros of the polynomial function shown?
mc033-1.jpg

a.
{-2.5, -1, 3}
b.
{-3, -2, 5}
c.
{-3, 1, 2.5}
d.
{-3, -1, 3}
 

 34. 

If f(x) is a polynomial with only factors x, (x + 2), and (x - 4), what is the solution set of f(x) = 0?
a.
{0, 2, 4}
b.
{-4, 0, 2}
c.
{-2, 0, 4}
d.
{-4, -2, 0}
 

 35. 

When graphed, which of the following equations would produce a circle?
a.
x2 + y2 = 9
b.
x + y = 9
c.
y = x2 - 9
d.
x2 + y2 = 9
 

 36. 

Which describes the graph of
                   mc036-1.jpg
a.
An ellipse
b.
A hyperbola
c.
A parabola
d.
A circle
 

 37. 

Which could be the graph of
               mc037-1.jpg
a.

mc037-2.jpg
c.

mc037-4.jpg
b.

mc037-3.jpg
d.

mc037-5.jpg
 

 38. 

Buy-Rite Electronics has 3 locations each selling 3 different models of Convair radios. Matrix A shows the inventory of each model at each location.
                                    mc038-1.jpg

Matrix B shows the cost of each model.

                                         mc038-2.jpg
For each location, which shows the total value of the inventory of all 3 models?
a.

mc038-3.jpg
c.

mc038-5.jpg
b.

mc038-4.jpg
d.

mc038-6.jpg
 

 39. 


mc039-1.jpg
a.
Q ´ R
b.
Q ´ T
c.
R ´ Q
d.
R ´ R
 

 40. 


mc040-1.jpg
a.

mc040-2.jpg
c.

mc040-4.jpg
b.

mc040-3.jpg
d.

mc040-5.jpg
 

 41. 

What is the multiplicative inverse of the matrix
                                       mc041-1.jpg
a.

mc041-2.jpg
b.

mc041-3.jpg
c.

mc041-4.jpg
d.

mc041-5.jpg
 

 42. 

Tim makes posters on his computer. He gets $5 for each regular size and $8 for each large poster. To use linear programming to maximize income, Tim developed this feasible region from the set of constraints on his resources, where x = number of regular size posters and y =  number of large posters.
                    mc042-1.jpg

How many of each size poster should Tim make in order to bring in the greatest amount of money?
a.
6 regular, 14 large
c.
12 regular, 8 large
b.
8 regular, 12 large
d.
18 regular, 2 large
 

 43. 

Which system of inequalities best represents the graph shown?
                            mc043-1.jpg

a.

mc043-2.jpg
b.

mc043-3.jpg
c.

mc043-4.jpg
d.

mc043-5.jpg
 

 44. 

This is a portion of the graph of a system of equations. Which is most likely the solution set for the system?

                              mc044-1.jpg
a.
{(1.5, 2.5), (3, 2)}
c.
{(-2, -3), (2.5, -1.5)}
b.
{(-2.5, 1.5), (2, -3)}
d.
{(-3, 2), (1.5, -3)}
 

 45. 

What is the solution set for this system of equations?
                                      mc045-1.jpg
a.
{(5, -7), (-1, -1)}
c.
{(1, -7), (-5, 23)}
b.
{(1, 1), (-5, 23)}
d.
{ (2, mc045-3.jpg) }
 

 46. 

The chart gives the average number of students per computer in public schools in America.
                                   mc046-1.jpg
Assuming a linear relationship, which is the best estimate for the number of students per computer during 1989–1990?
a.
5.4
b.
10.8
c.
20.2
d.
21.9
 

 47. 

The chart shows city real estate taxes paid by four families and the assessed value of their homes.
                            mc047-1.jpg
The tax on the Miller home was $1,700. What was the assessed value?
a.
$60,000
b.
$65,000
c.
$68,000
d.
$70,000
 

 48. 

Which is most likely the equation for the curve of best fit for the scatterplot below?
                           mc048-1.jpg

a.
mc048-2.jpg
b.
mc048-3.jpg
c.
mc048-4.jpg
d.
mc048-5.jpg
 

 49. 

Which type of function would best fit the data in this scatterplot?
mc049-1.jpg

a.
Linear
b.
Exponential
c.
Logarithmic
d.
Quadratic
 

 50. 

Which equation most closely fits the data in this scatterplot?
                    mc050-1.jpg

a.
mc050-2.jpg
b.
mc050-3.jpg
c.
mc050-4.jpg
d.
mc050-5.jpg
 



 
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