Name: 
 

2005 Algebra 1



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

 1. 

Ron paid $75.00 for 5 compact disks and a case. If the price of each  compact disk was $12.60, what was the price of the case?
a.
$12.00
b.
$12.50
c.
$15.00
d.
$63.00
 

 2. 

What is the solution to

                     mc002-1.jpg
a.
-5
b.
1
c.
7
d.
10
 

 3. 

What is the solution to

                                mc003-1.jpg
a.
mc003-2.jpg
b.
mc003-3.jpg
c.
mc003-4.jpg
d.
mc003-5.jpg
 

 4. 

Which of the following is most likely a graph of    mc004-1.jpg
a.

mc004-2.jpg
b.

mc004-3.jpg
c.

mc004-4.jpg
d.

mc004-5.jpg
 

 5. 

                           mc005-1.jpg
What property makes this equation true?
a.
The reflexive property
b.
The associative property
c.
The commutative property
d.
The distributive property
 

 6. 

Which of the following is most likely the graph of a line with a slope of zero?
a.

mc006-1.jpg
b.

mc006-2.jpg
c.

mc006-3.jpg
d.

mc006-4.jpg
 

 7. 

What is the y-intercept of

                        mc007-1.jpg 
a.
3
b.
mc007-2.jpg
c.
mc007-3.jpg
d.
-4
 

 8. 

What is the slope of the line through (1, 1) and (4, -1)?
a.
mc008-1.jpg
b.
mc008-2.jpg
c.
mc008-3.jpg
d.
mc008-4.jpg
 

 9. 

What is the slope of the line mc009-1.jpg ?
a.
4
b.
2
c.
mc009-2.jpg
d.
mc009-3.jpg
 

 10. 

Which is an equation for the line with a slope of  mc010-1.jpg  that passes through the origin?
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
 

 11. 

Which is an equation for the line which contains (3, 4) and the origin?
a.
mc011-1.jpg
b.
mc011-2.jpg
c.
mc011-3.jpg
d.
mc011-4.jpg
 

 12. 

Which graph best represents a line with a y-intercept of 4 and slope -3?
a.

mc012-1.jpg
b.

mc012-2.jpg
c.

mc012-3.jpg
d.

mc012-4.jpg
 

 13. 

Which equation most likely represents the line shown on the graph?
                          mc013-1.jpg
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
d.
mc013-5.jpg
 

 14. 

Which is the solution to the system of equations shown?
                      mc014-1.jpg
a.
mc014-2.jpg
b.
mc014-3.jpg
c.
mc014-4.jpg
d.
mc014-5.jpg
 

 15. 

Mrs. Crews bought 4 pencils and 3 pens for $5.60. Miss Houston bought 2 pencils and 3 pens of the same kind for $4.60. What was the price of each pencil and each pen?
a.
$1.70 per pencil, $0.20 per pen
b.
$0.50 per pencil, $1.20 per pen
c.
$0.17 per pencil, $1.64 per pen
d.
$0.80 per pencil, $0.80 per pen
 

 16. 

The perimeter of a rectangular playing field is 244 feet. If its length is 2 feet longer than twice its width, what are the dimensions of the field?
a.
20 ft, 41 ft
b.
21 ft, 40 ft
c.
40 ft, 82 ft
d.
42 ft, 80 ft
 

 17. 

What are the solutions to the equation below?
                                          mc017-1.jpg
a.
mc017-2.jpg
b.
mc017-3.jpg
c.
mc017-4.jpg
d.
mc017-5.jpg
 

 18. 

Which is the solution set for
                        mc018-1.jpg
a.
{-7, -2}
b.
{-7, 2}
c.
{-2, 7}
d.
{2, 7}
 

 19. 

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

 20. 

mc020-1.jpg  is equivalent to —
a.
mc020-2.jpg
b.
mc020-3.jpg
c.
mc020-4.jpg
d.
mc020-5.jpg
 

 21. 

What is the perimeter of the triangle shown in the drawing?
                             mc021-1.jpg
a.
mc021-2.jpg
b.
mc021-3.jpg
c.
mc021-4.jpg
d.
mc021-5.jpg
 

 22. 

mc022-1.jpg  may be written as —
a.
0.0000381
b.
0.000381
c.
3,810
d.
38,100
 

 23. 

Which is equivalent to  mc023-1.jpg   ?
a.
mc023-2.jpg
b.
mc023-3.jpg
c.
mc023-4.jpg
d.
mc023-5.jpg
 

 24. 

If y ¹ 0, which expression is equivalent to the one shown below?
                              mc024-1.jpg
a.
mc024-2.jpg
b.
mc024-3.jpg
c.
mc024-4.jpg
d.
mc024-5.jpg
 

 25. 

A board that is c feet long supports the stairs as shown below.
                     mc025-1.jpg
To find the value of c, Britney used the following expression.

                                  mc025-2.jpg

What is c to the nearest tenth of a foot?
a.
36.0 ft
b.
30.0 ft
c.
21.6 ft
d.
13.4 ft
 

 26. 

When completely factored,  mc026-1.jpg  equals —
a.
(x - 5)(x - 2)
b.
(x - 3)(x - 4)
c.
(x + 5)(x - 2)
d.
(x + 4)(x + 6)
 

 27. 

When   mc027-1.jpg   is completely factored, which is one of its factors?
a.
x + 1
b.
x - 5
c.
5x + 1
d.
5x - 1
 

 28. 

Which is the simplest radical form of mc028-1.jpg ?
a.
mc028-2.jpg
b.
mc028-3.jpg
c.
mc028-4.jpg
d.
mc028-5.jpg
 

 29. 

What is the value of a(3 - b) if a = 2 and b =  5?
a.
4
b.
0
c.
5
d.
16
 

 30. 

The base of a triangle is 3 units more than h, its height. Which expression represents its area?
a.
mc030-1.jpg
b.
mc030-2.jpg
c.
mc030-3.jpg
d.
mc030-4.jpg
 

 31. 

Trina’s paycheck earnings, p, varies directly as the number of hours, h, she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
a.
$394.00
b.
$443.25
c.
$472.80
d.
$512.20
 

 32. 

When the input is mc032-1.jpg , what is the output?
                         mc032-2.jpg
a.
mc032-3.jpg
b.
mc032-4.jpg
c.
mc032-5.jpg
d.
mc032-6.jpg
 

 33. 

The ordered pairs in the sets shown below are of the form (x, y). In which set is y a function of x?
a.
{(1, 3), (2, 6), (3, 1), (6, 3)}
b.
{(1, 3), (3, 1), (3, 4), (4, 3)}
c.
{(1, -2), (1, 0), (1, 5), (1, 7)}
d.
{(0, 3), (1, 4), (2, 4), (2, 8)}
 

 34. 

The table shows the relationship between a, the area of a rectangle, and h, its height, when the base remains constant.
                      mc034-1.jpg
Which equation represents the relationship between h and a?
a.
mc034-2.jpg
b.
mc034-3.jpg
c.
mc034-4.jpg
d.
mc034-5.jpg
 

 35. 

The total number, n, of employees at a company depends on the company’s yearly gross profits according to the equation n = 10p + 20, where p is the yearly gross profit in millions of dollars. If the yearly gross profit declined from 20 million dollars to 15 million dollars, what was the decrease in the number of employees?
a.
50
b.
70
c.
120
d.
220
 

 36. 

Which of these pairs of the form (x, y) could not lie on the graph of a function of x?
a.
(1, 1) and (3, 1)
b.
(1, 1) and (2, 1)
c.
(1, 1) and (1, 2)
d.
(1, 1) and (2, 2)
 

 37. 

Which of the following represents the graph of a function of x?
a.

mc037-1.jpg
b.

mc037-2.jpg
c.

mc037-3.jpg
d.

mc037-4.jpg
 

 38. 

The function below contains ordered pairs of the form (x, y).
                      f = {(6, 5), (2, 3), (1, 4)}
What is the range of the function?
a.
{4}
b.
{1, 2, 3, 4, 5, 6}
c.
{1, 2, 6}
d.
{3, 4, 5}
 

 39. 

Which is a zero of the function   f(x) = 2x - 10 ?
a.
10
b.
8
c.
5
d.
-5
 

 40. 

If mc040-1.jpgwhat is mc040-2.jpg  ?
a.
-2
b.
-1
c.
1
d.
2
 

 41. 

The point (q, 0) lies on the graph of the following function.
                                 mc041-1.jpg
What is the value of q?
a.
-8
b.
-6
c.
6
d.
8
 

 42. 

In the table, y varies directly with x.
mc042-1.jpg
Which equation best describes the data?
a.
mc042-2.jpg
b.
mc042-3.jpg
c.
mc042-4.jpg
d.
mc042-5.jpg
 

 43. 

These are box-and-whisker plots of four different groups of test scores. Which has the greatest range?
a.

mc043-1.jpg
b.

mc043-2.jpg
c.

mc043-3.jpg
d.

mc043-4.jpg
 

 44. 

A student scored 85, 49, 67, and 83 on four tests. What score would the student need to make on the next test to have a mean score of 75?
a.
75
b.
79
c.
86
d.
91
 

 45. 

For the data set shown, which measure is the greatest?
            {5, 6, 6, 8, 9, 10}
a.
Mean
b.
Median
c.
Mode
d.
Range
 

 46. 

Sam and Max sell bags of peanuts and popcorn at baseball games. This matrix shows the number of bags they sold during the July 1st game.
                                    mc046-1.jpg
This matrix shows the number of bags each sold during the July 2nd game.
                                   mc046-2.jpg
Which matrix shows how many more bags were sold during the second game
than in the first?
a.
mc046-3.jpg
b.
mc046-4.jpg
c.
mc046-5.jpg
d.
mc046-6.jpg
 

 47. 

If mc047-1.jpg  and  mc047-2.jpg, what is A - B ?
a.
mc047-3.jpg
b.
mc047-4.jpg
c.
mc047-5.jpg
d.
mc047-6.jpg
 

 48. 

A delivery service company maintains several vehicles. The table summarizes the cost for auto insurance related to the number of vehicles insured.
                                mc048-1.jpg
Using the equation of a line of best fit for the data, which is the closest estimate of the total cost of insuring eight vehicles?
a.
$5,050
b.
$5,200
c.
$5,500
d.
$5,950
 

 49. 

An engine is tested for torque output at different revolutions per minute.
                                mc049-1.jpg

Which equation most closely defines the line of best fit for the data?
a.
mc049-2.jpg
b.
mc049-3.jpg
c.
mc049-4.jpg
d.
mc049-5.jpg
 

 50. 

Which equation defines the linear line of best fit for the data in the table?
                                     mc050-1.jpg
a.
mc050-2.jpg
b.
mc050-3.jpg
c.
mc050-4.jpg
d.
mc050-5.jpg
 



 
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