Name: 
 

2003 Algebra I SOL



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

 1. 

Which property of real numbers is utilized by rewriting 11x + 5xy as x(11 + 5y)?
a.
Associative property for addition
b.
Commutative property for addition
c.
Closure property for multiplication
d.
Distributive property for multiplication over addition
 

 2. 

What is the solution to
            2 - 4a = 16?
a.
18
b.
10
c.
2003_alg1_sol_files/i0030000.jpg
d.
2003_alg1_sol_files/i0030001.jpg
 

 3. 

The volume of a cylinder is given by
                2003_alg1_sol_files/i0040000.jpg
where r is the radius of the cylinder and h is the cylinder’s height. Which equation could be used to solve for h?
a.
h = pr2V
b.
h = 2003_alg1_sol_files/i0040001.jpg
c.
h = V + pr2
d.
h = V - pr2
 

 4. 

Tambria’s property has the shape of a trapezoid with the dimensions shown. If the perimeter of the property is 3,279 feet, what is the value of x?

             2003_alg1_sol_files/i0050000.jpg
a.
726 ft.
b.
781.25 ft.
c.
913.5 ft
d.
1,452 ft.
 

 5. 

Which graph best represents the function
                       2003_alg1_sol_files/i0060000.jpg
a.

2003_alg1_sol_files/i0060001.jpg
c.

2003_alg1_sol_files/i0060002.jpg
b.

2003_alg1_sol_files/i0060003.jpg
d.

2003_alg1_sol_files/i0060004.jpg
 

 6. 

What is the solution to the inequality
         2003_alg1_sol_files/i0070000.jpg
a.
2003_alg1_sol_files/i0070001.jpg
b.
2003_alg1_sol_files/i0070002.jpg
c.
2003_alg1_sol_files/i0070003.jpg
d.
2003_alg1_sol_files/i0070004.jpg
 

 7. 

Which line has a negative slope?
                    2003_alg1_sol_files/i0080000.jpg
a.
A
b.
B
c.
C
d.
D
 

 8. 


2003_alg1_sol_files/i0090000.jpg
a.

2003_alg1_sol_files/i0090001.jpg
c.

2003_alg1_sol_files/i0090002.jpg
b.

2003_alg1_sol_files/i0090003.jpg
d.

2003_alg1_sol_files/i0090004.jpg
 

 9. 

What is the slope of the graph of
            2003_alg1_sol_files/i0100000.jpg
a.
-6
b.
-1
c.
2003_alg1_sol_files/i0100001.jpg
d.
6
 

 10. 

What is the slope of the line that goes through
                    2003_alg1_sol_files/i0110000.jpg
a.
Undefined
b.
0
c.
2003_alg1_sol_files/i0110001.jpg
d.
2003_alg1_sol_files/i0110002.jpg
 

 11. 

Which equation fits the data in the table?
             2003_alg1_sol_files/i0120000.jpg
a.
2003_alg1_sol_files/i0120001.jpg
b.
2003_alg1_sol_files/i0120002.jpg
c.
2003_alg1_sol_files/i0120003.jpg
d.
2003_alg1_sol_files/i0120004.jpg
 

 12. 

Roy works at the local grocery store and is paid $6.00 per hour. The graph shown describes his salary, S, based on the number of hours, t, he works.
                                     2003_alg1_sol_files/i0130000.jpg
Which is an equation of the graph shown?

a.
2003_alg1_sol_files/i0130001.jpg
b.
2003_alg1_sol_files/i0130002.jpg
c.
2003_alg1_sol_files/i0130003.jpg
d.
2003_alg1_sol_files/i0130004.jpg
 

 13. 

The equation of the line that contains the points (-8, 1) and (0, -5) is —
a.
2003_alg1_sol_files/i0140000.jpg
b.
2003_alg1_sol_files/i0140001.jpg
c.
2003_alg1_sol_files/i0140002.jpg
d.
2003_alg1_sol_files/i0140003.jpg
 

 14. 

Which is the solution to the system of equations shown?
            2003_alg1_sol_files/i0150000.jpg
a.
x = 1, y = 3
b.
x = 2, y = 2
c.
x = 3, y = 1
d.
x = 4, y = 0
 

 15. 

A rectangle has a perimeter of 68 inches. Its length is 2 inches less than 3 times its width. What are the length and width of the rectangle?
a.
Length = 22 in., width = 12 in.
b.
Length = 25 in., width = 9 in.
c.
Length = 28 in., width = 10 in.
d.
Length = 22 in., width = 8 in.
 

 16. 

Which is most likely the solution to the system of equations shown?
                         2003_alg1_sol_files/i0170000.jpg
a.
(0, 5)
b.
(1, 0)
c.
(3, -2)
d.
(-2, 3)
 

 17. 

Which is the solution set for the equation below?
                             2003_alg1_sol_files/i0180000.jpg
a.
{-2, -1}
b.
{-1,  2003_alg1_sol_files/i0180001.jpg }
c.
{2003_alg1_sol_files/i0180002.jpg,  1}
d.
{1, 2}
 

 18. 

Which is the solution set for the equation below?
                             2003_alg1_sol_files/i0190000.jpg
a.
{-4, 1}
b.
{-2, 2}
c.
{-1, 4}
d.
{0, 4}
 

 19. 

What is the value of 2003_alg1_sol_files/i0200000.jpg if x = -1 and y =  3?
a.
12
b.
-3
c.
-6
d.
-12
 

 20. 

Which expression correctly represents $10 less than twice the cost, c?
a.
10 - 2c
b.
10 - 2 +c
c.
2c - 10
d.
2003_alg1_sol_files/i0210000.jpg
 

 21. 


2003_alg1_sol_files/i0220000.jpg
a.

2003_alg1_sol_files/i0220001.jpg
b.

2003_alg1_sol_files/i0220002.jpg
c.

2003_alg1_sol_files/i0220003.jpg
d.

2003_alg1_sol_files/i0220004.jpg
 

 22. 

Consider the following models.
       2003_alg1_sol_files/i0230000.jpg
What polynomial is represented by the following?
           2003_alg1_sol_files/i0230001.jpg
a.
2003_alg1_sol_files/i0230002.jpg
b.
2003_alg1_sol_files/i0230003.jpg
c.
2003_alg1_sol_files/i0230004.jpg
d.
2003_alg1_sol_files/i0230005.jpg
 

 23. 

Consider the following models.
               2003_alg1_sol_files/i0240000.jpg
Which expression represents the area of the diagram below?
                    2003_alg1_sol_files/i0240001.jpg
a.
2003_alg1_sol_files/i0240002.jpg
b.
2003_alg1_sol_files/i0240003.jpg
c.
2003_alg1_sol_files/i0240004.jpg
d.
2003_alg1_sol_files/i0240005.jpg
 

 24. 

The continent of North America has an area of approximately 9.4 ´ 106 square miles. The area of Asia is approximately 1.74 ´ 107 square miles. How many square miles larger is Asia than North America?
a.
7.6 ´ 101
b.
7.6 ´ 10-1
c.
8.0 ´ 106
d.
8.0 ´ 101
 

 25. 

Which expression is equivalent to
               
                      2003_alg1_sol_files/i0260000.jpg
a.
18x
b.
81x2 -1
c.
18x2 -1
d.
81x2 -18x -1
 

 26. 

What is one of the factors of
              2003_alg1_sol_files/i0270000.jpg
a.
(x - 3)
b.
(x - 5)
c.
(x + 1)
d.
(x + 15)
 

 27. 

When completely factored, 4 - 16x + 28y equals —
a.
4(1 - 4x + 7y)
b.
4(1 - 4x) + 28y
c.
(4 - 7y) (1 + 4x)
d.
4 - 4(4x -7y)
 

 28. 

The area of a rectangle is represented by the expression
                    2003_alg1_sol_files/i0290000.jpg
Which is an equivalent expression for this area?

a.
(2x + 2) ( x + 1)
b.
(2x + 3) (x + 2)
c.
(2x + 1) (x + 4)
d.
(2x + 1) (x + 2)
 

 29. 

Which is closest to the value of x if  2003_alg1_sol_files/i0300000.jpg
a.
3.2
b.
3.7
c.
5.3
d.
9.9
 

 30. 

What is the value of 2003_alg1_sol_files/i0310000.jpg to the nearest tenth?
a.
0.7
b.
0.9
c.
1.3
d.
1.5
 

 31. 

The numbers in this table follow a linear pattern.
              2003_alg1_sol_files/i0320000.jpg
What is the missing value?
a.
7
b.
8
c.
9
d.
10
 

 32. 

Which of these data sets represents a function?
a.

2003_alg1_sol_files/i0330000.jpg
c.

2003_alg1_sol_files/i0330001.jpg
b.

2003_alg1_sol_files/i0330002.jpg
d.

2003_alg1_sol_files/i0330003.jpg
 

 33. 

Loki said the following graph does not represent a function of x.
                            2003_alg1_sol_files/i0340000.jpg
Which pair of points could Loki use to prove that her statement is correct?
a.
(-3, 4) and (-3, -4)
c.
(-3, 4) and (4, -3)
b.
(-4, 3) and (4, 3)
d.
(-5, 0) and (5, 0)
 

 34. 

What is the apparent range of the function of x shown?
                   2003_alg1_sol_files/i0350000.jpg
a.
The set of all real numbers greater than or equal to 4
b.
The set of all real numbers greater than or equal to 1
c.
The set of all real numbers less than or equal to 1
d.
The set of all real numbers
 

 35. 

Which equation best describes this graph?
                 2003_alg1_sol_files/i0360000.jpg
a.
y = -x
b.
y = 2x +2
c.
y = x - 2
d.
y = x + 2
 

 36. 

If  f(x) = -2x + 3, what is f(-4)?
a.
-5
b.
-1
c.
5.5
d.
11
 

 37. 

The chart shows how the wholesale price of an item, p, depends on the cost of the materials needed to produce the item, m. Which equation represents this linear relationship?
        2003_alg1_sol_files/i0380000.jpg
a.
p = m + 3.5
b.
p = 2m +3
c.
p = 3m + 2.5
d.
p = 4m + 2
 

 38. 

What is the range of the function f(x) = 3x - 1 when the domain is {-1, 0, 1}?
a.
{-1, 2}
b.
{-1, 0, 1}
c.
{1, 2, 4}
d.
{-4, -1, 2}
 

 39. 

Which of the following does not represent a function of x?
a.

2003_alg1_sol_files/i0400000.jpg
c.

2003_alg1_sol_files/i0400001.jpg
b.

2003_alg1_sol_files/i0400002.jpg
d.

2003_alg1_sol_files/i0400003.jpg
 

 40. 

Which is a zero of the function
                2003_alg1_sol_files/i0410000.jpg
a.
-7
b.
-6
c.
7
d.
41
 

 41. 

Jill was looking at a picture of herself and 3 friends. She measured the height of her image as 10 centimeters. If Jill is actually 60 inches tall, which equation can she use to find h, the actual height in inches, of one of her friends who is c centimeters tall in the picture?
a.
2003_alg1_sol_files/i0420000.jpg
b.
2003_alg1_sol_files/i0420001.jpg
c.
2003_alg1_sol_files/i0420002.jpg
d.
2003_alg1_sol_files/i0420003.jpg
 

 42. 

The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber is at 50°F, what is the pressure in the chamber when the temperature of the chamber is 75°F?
a.
175 atm
b.
200 atm
c.
225 atm
d.
275 atm
 

 43. 


2003_alg1_sol_files/i0440000.jpg
a.

2003_alg1_sol_files/i0440001.jpg
b.

2003_alg1_sol_files/i0440002.jpg
c.

2003_alg1_sol_files/i0440003.jpg
d.

2003_alg1_sol_files/i0440004.jpg
 

 44. 

The number of car sales for May 2000 at Auto One are:

                   2003_alg1_sol_files/i0450000.jpg
If the sales people get a $200 commission on any car they sell, which matrix shows
the amount in commissions each earns?
a.

2003_alg1_sol_files/i0450001.jpg
b.

2003_alg1_sol_files/i0450002.jpg
c.

2003_alg1_sol_files/i0450003.jpg
d.

2003_alg1_sol_files/i0450004.jpg
 

 45. 

2003_alg1_sol_files/i0460000.jpg
a.

2003_alg1_sol_files/i0460001.jpg
b.

2003_alg1_sol_files/i0460002.jpg
c.

2003_alg1_sol_files/i0460003.jpg
d.

2003_alg1_sol_files/i0460004.jpg
 

 46. 

Barry’s daily grades for one grading period are shown below.

            94, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 85

What was the mode of his daily grades?
a.
93
b.
92
c.
91
d.
90
 

 47. 

The stem-and-leaf plot shows the results of a science experiment in which 12 plants were each given a different combination of water and nutrients over a period of time and their growth in millimeters measured.

                             2003_alg1_sol_files/i0480000.jpg

What was the median number of millimeters of growth?
a.
14
b.
15
c.
16
d.
17
 

 48. 

Connie made a scatterplot comparing the shoulder heights of her friends’ dogs to their weights. Connie’s dog stands 28 inches to his shoulder.
                                  2003_alg1_sol_files/i0490000.jpg
Using a line of best fit for the plot, which is the best prediction for her dog’s weight?
a.
40 pounds
b.
55 pounds
c.
65 pounds
d.
70 pounds
 

 49. 

Scott made a box-and-whisker graph of the soccer goals made by the players in his district.
                             2003_alg1_sol_files/i0500000.jpg
What is the range of the goals made by the players?
a.
24
b.
18
c.
6
d.
4
 

 50. 

Which equation best represents the data shown in the scatterplot?
                       2003_alg1_sol_files/i0510000.jpg
a.
2003_alg1_sol_files/i0510001.jpg
b.
2003_alg1_sol_files/i0510002.jpg
c.
2003_alg1_sol_files/i0510003.jpg
d.
2003_alg1_sol_files/i0510004.jpg
 



 
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