algebra 1 released items 2005. equations and inequalities
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Algebra 1 Released Items
2005
Equations and Inequalities
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?
1 2 3 4 5
25% 25%25%25%
A. $12.00B. $12.50C. $15.00D. $63.00
What is the solution to4(2x - 3) = 2(3x + 1)?
1 2 3 4 5-5 1 7 10
25% 25%25%25%A. -5B. 1C. 7D. 10
What is the solution to 8 - 2x > -4?
1 2 3 4 5 x
> 6
x >
2
x <
2
x <
6
25% 25%25%25%A. x > 6B. x > 2C. x < 2D. x < 6
Which of the following is most likely a
graph of y = -2x + 3?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
6a2 - 2a = 2a(3a - 1)What property makes this
equationtrue?
1 2 3 4 5
25% 25%25%25%A. The reflexive propertyB. The associative
propertyC. The commutative
propertyD. The distributive
property
Which of the following is most likelythe graph of a line with a slope of
zero?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
What is the y-intercept of4x + 8y = 12?
1 2 3 4 5
3 3
/2 -1
/2
-4
25% 25%25%25%A. 3B. 3/2C. -1/2 D. -4
What is the slope of the line through (1, 1) and (4, -1)?
1 2 3 4 5 -1
/5 -2
/5 -2
/3 -3
/2
25% 25%25%25%A. -1/5B. -2/5C. -2/3D. -3/2
What is the slope of the line3y = 4x + 5?
1 2 3 4 5
4 2 5
/3 4
/3
25% 25%25%25%A. 4B. 2C. 5/3D. 4/3
Which is an equation for the line with a slope of ½ that passes
through the origin?
1 2 3 4 5
25% 25%25%25%A. y = ½xB. y = 2xC. y = ½D. x = 0
Which is an equation for the linewhich contains (3, 4) and the
origin?
1 2 3 4 5
y =
3/4
x
y =
4/3
x
y =
4x
+ 3
y =
3x
+ 4
25% 25%25%25%
A. y = 3/4xB. y = 4/3xC. y = 4x + 3D. y = 3x + 4
Which graph best represents a line
with a y-intercept of 4 and slope -3?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
Which equation most likely represents
the line shown on the graph?
1 2 3 4 5
y =
3/2
x + 3
y 3
x 3
y =
-2/3
x –
3
y =
2/3
x –
3
25% 25%25%25%A. y = 3/2x + 3B. y 3x 3C. y = -2/3x – 3D. y = 2/3x – 3
Which is the solution to the system of
equations shown?
1 2 3 4 5
25% 25%25%25%A. B.
C. D.
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?
1 2 3 4 5 $
1.70
per
pen
cil..
.
$0.
50 p
er p
enci
l...
$0.
17 p
er p
enci
l...
$0.
80 p
er p
enci
l...
25% 25%25%25%A. $1.70 per pencil, $0.20 per penB. $0.50 per pencil, $1.20 per penC. $0.17 per pencil, $1.64 per penD. $0.80 per pencil, $0.80 per pen
The perimeter of a rectangular playing
field is 244 feet. If its length is 2 feetlonger than twice its width, what are
the dimensions of the field?
1 2 3 4 5 20
ft, 4
1 ft
21
ft, 4
0 ft
40
ft, 8
2 ft
42
ft, 8
0 ft
25% 25%25%25%
A. 20 ft, 41 ftB. 21 ft, 40 ftC. 40 ft, 82 ftD. 42 ft, 80 ft
What are the solutions to the equation below?
1 2 3 4 5
25% 25%25%25%
A. x = -4 or x = 4B. x = -12 or x =
9C. x = -3 or x = 3D. x = 3 or x = 9
Which is the solution set forx2 - 5x – 14 = 0?
1 2 3 4 5 {-
7, -2
}
{-7,
2}
{-2,
7}
{2, 7
}
25% 25%25%25%A. {-7, -2}B. {-7, 2}C. {-2, 7}D. {2, 7}
Expressions and Operations
If z ≠ 0,
1 2 3 4 5
25% 25%25%25%A. 18y2z2
B. 16y2z2
C. 4yz3
D. 4y2z2
(3xy)(5x2 + 2xy + 3y2) is equivalent to —
1 2 3 4 5 1
5x3y
+ 6
x2y2
+ 9
xy3
15x
3y +
2xy
+ 3
y2
15x
2y +
6x2
y2 +
9xy
2
15x
2 + 5
xy +
3y2
25% 25%25%25%A. 15x3y + 6x2y2 + 9xy3
B. 15x3y + 2xy + 3y2
C. 15x2y + 6x2y2 + 9xy2
D. 15x2 + 5xy + 3y2
What is the perimeter of the triangle
shown in the drawing?
1 2 3 4 5
25% 25%25%25%
A. 7x + 9B. 8x + 9C. 8x3 + 9D. 10x3 + 9
3.81 x 10-4 may be written as —
1 2 3 4 53.
81E-0
5
0.00
0381
3,81
0
38,1
00
25% 25%25%25%A. 0.0000381B. 0.000381C. 3,810D. 38,100
Which is equivalent to p6p2?
1 2 3 4 5 p
8 2
p8 p
10 p
12
25% 25%25%25%A. p8
B. 2p8
C. p10
D. p12
If y ≠ 0, which expression is equivalent to the one shown
below?
1 2 3 4 5
25% 25%25%25%A. B.
C. D.
A board that is c feet long supports the stairs as shown below. To find the value
of c, Britney used the following expression.√122 + 182
What is c to the nearest tenth of a foot?
1 2 3 4 5
25% 25%25%25%
A. 36.0 ftB. 30.0 ftC. 21.6 ftD. 13.4 ft
When completely factored,x2 - 7x + 10 equals —
1 2 3 4 5 (x
- 5)
(x -
2)
(x -
3)(x
- 4)
(x +
5)(x
- 2)
(x +
4)(x
+ 6
)
25% 25%25%25%A. (x - 5)(x - 2)B. (x - 3)(x - 4)C. (x + 5)(x - 2)D. (x + 4)(x + 6)
When 5x2 - 5 is completely factored, which is one of its
factors?
1 2 3 4 5 x
+ 1
x -
5
5x
+ 1
5x
- 1
25% 25%25%25%A. x + 1B. x - 5C. 5x + 1D. 5x - 1
Which is the simplest radical form
of √52?
1 2 3 4 5
25% 25%25%25%A. 13√2B. 5√2C. 4√13D. 2√13
What is the value of a(3 - b) if a = 2
and b = 5?
1 2 3 4 5-4 0 5 16
25% 25%25%25%A. -4B. 0C. 5D. 16
The base of a triangle is 3 units more
than h, its height. Which expressionrepresents its area?
1 2 3 4 5 h
(h +
3)
½h(h
+ 3
)
h(h
- 3)
½h(h
- 3)
25% 25%25%25%A. h(h + 3)B. ½h(h + 3)C. h(h - 3)D. ½h(h - 3)
Relations and Functions
Trina’s paycheck earnings, p, variesdirectly 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?
1 2 3 4 5
25% 25%25%25%
A. $394.00B. $443.25C. $472.80D. $512.20
When the input is ⅓, what is the
output?
1 2 3 4 5
25% 25%25%25%A. -29/6B. -44/9C. -14/3D. 46/9
The ordered pairs in the sets shown below are of the form (x, y). In
whichset is y a function of x?
1 2 3 4 5
25% 25%25%25%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)}
The table shows the relationship between a, the area of a rectangle, and h, its
height, when the base remains constant. Which equation represents the relationship between h and a?
1 2 3 4 5 a =
h +
6
a =
3h +
2
a =
4h
a =
2h +
4
25% 25%25%25%
A. a = h + 6B. a = 3h + 2C. a = 4hD. a = 2h + 4
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?
1 2 3 4 5
25% 25%25%25%
A. 50B. 70C. 120D. 220
Which of these pairs of the form (x, y) could not lie on the graph
of a function of x?
1 2 3 4 5
25% 25%25%25%A. (1, 1) and (3, 1)B. (1, 1) and (2, 1)C. (1, 1) and (1, 2)D. (1, 1) and (2, 2)
Which of the following represents the graph of a function of x?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
The function below contains ordered
pairs of the form (x, y).ƒ{(6, 5), (2, 3), (1, 4)}
What is the range of the function?
1 2 3 4 5
{4}
{1, 2
, 3, 4
, 5, 6
}
{1, 2
, 6}
{3, 4
, 5}
25% 25%25%25%A. {4}B. {1, 2, 3, 4, 5,
6}C. {1, 2, 6}D. {3, 4, 5}
Which is a zero of the functionƒ(x) = 2x - 10?
1 2 3 4 510 8 5 -5
25% 25%25%25%A. 10B. 8C. 5D. -5
Enter question text...
1 2 3 4 5
25% 25%25%25%A. -2B. -1C. 1D. 2
The point (q, 0) lies on the graph of the following function.
What is the value of q?
1 2 3 4 5 -8 -6 6 8
25% 25%25%25%
A. -8B. -6C. 6D. 8
In the table, y varies directly with x. Which equation best describes the
data?
1 2 3 4 5
25% 25%25%25%
A. xy = 5/3B. xy = 3/5C. y = 5/3xD. y = 3/5x
Statistics
These are box-and-whisker plots of four different groups of test scores. Which has
the greatest range?
1 2 3 4 5
25% 25%25%25%
A.
B.
C.
D.
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?
1 2 3 4 5
25% 25%25%25%A. 75B. 79C. 86D. 91
{5, 6, 6, 8, 9, 10}For the data set shown, which
measureis the greatest?
1 2 3 4 5
25% 25%25%25%A. MeanB. MedianC. ModeD. Range
Enter question text...
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
Which equation defines the linear line
of best fit for the data in the table?
1 2 3 4 5
25% 25%25%25%A. y = 19.5x - 0.35B. y = 0.35x + 19.5C. y = 19.5x + 0.35D. y = 0.35x - 19.5