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Algebra 1
2006 Released Test
A repairman estimated the cost of replacing a part in Mrs. James’ computer
would be at most $225. The estimate included $35 for the part, a
$40 service charge, and $30 per hour for labor. What is the maximum number of
hours the repairman estimated for the job?
1 2 3 4 5 4½
5 5
½ 6
25% 25%25%25%A. 4½ B. 5C. 5½ D. 6
What is the solution to the followingequation?
1 2 3 4 5
25% 25%25%25%A. x = 1B. x = 2C. x = 3D. x =4
Enter question text...
1 2 3 4 5
x >
26
x >
29
x >
13/
2
x >
28
25% 25%25%25%
A. x > 26B. x > 29C. x > 13/2D. x > 28
The statement“If ½x = 5, then x = 10”
is justified by the —
1 2 3 4 5
25% 25%25%25%A. associative property of multiplication
B. commutative property of multiplication
C. addition property of equality
D. multiplication property of equality
What are the x- and y-intercepts of the
line with equation 4x + 5y = 40?
1 2 3 4 5 x
-inte
rcep
t 10,
y-in
te...
x-in
terc
ept 8
, y-
inte
r...
x-in
terc
ept -
10, y
-inte
...
x-in
terc
ept -
8, y
-inte
r...
25% 25%25%25%A. x-intercept 10, y-intercept 8
B. x-intercept 8, y-intercept 10
C. x-intercept -10, y-intercept -8
D. x-intercept -8, y-intercept -10
Which graph best represents the line
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
Which is an equation for the line that passes through the origin and has a
slope of 3/5?
1 2 3 4 5 y
= 3
/5
x =
3/5
y =
x
y =
3/5
x
25% 25%25%25%
A. y = 3/5B. x = 3/5C. y = xD. y = 3/5x
What is the slope of the liney = 4x -2?
1 2 3 4 54 2 ¼
-2
25% 25%25%25%A. 4B. 2C. ¼ D. -2
Which line has a y-intercept of 5 and an x-intercept of 1?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
Which equation best represents theline shown?
1 2 3 4 5
25% 25%25%25%
A. y = 2x + 2B. y = 2x + 1C. y = ½x + 2D. y = x + 2
What is the apparent slope of the line
graphed below?
1 2 3 4 5
25% 25%25%25%
A. 5/2B. 2/5C. -2/5D. -5/2
The difference in cost between a large bag of chips and a small bag of chips was
90¢. Alicia bought 5 large bags and 3 small bags of chips for her party and spent $17.22. What was the cost of a
small bag of chips?
1 2 3 4 5 $5...
$2...
$2...
$1...
25% 25%25%25%A. $5.74B. $2.49C. $2.15D. $1.59
Which is an equation for the line thatpasses through the points (3, 0) and
(0, 2)?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
The length of a rectangle is 6 meters more than its width. If the area is 135
square meters, what is its width?
1 2 3 4 5 5
m 9
m 1
5 m
27
m
25% 25%25%25%A. 5 mB. 9 mC. 15 mD. 27 m
What is the solution to the system of
equations shown below?
1 2 3 4 5
25% 25%25%25%A. B.
C.
D.
Which is a solution to the followingequation?
1 2 3 4 5
25% 25%25%25%A. x = 14B. x = 12C. x = 2D. x = 0
What is the slope of the line through
(3, 2) and (-1, -4)?
1 2 3 4 5
3 3
/2 2
/3 -3
/2
25% 25%25%25%
A. 3B. 3/2C. 2/3D. -3/2
Which is the solution set for theequation above?
1 2 3 4 5
25% 25%25%25%A. {0, 3}B. {-3, 0}C. {1, 3}D. {2, 3}
What is the value of
when m = 4?
1 2 3 4 5
25% 25%25%25%A. 0.5B. 1.2C. 1.7D. 2.0
Joe, who is the youngest member of the wrestling team at Northwood High School, is 5 years less than one-half the age of the
coach. If the coach is n years old, which expression describes Joe’s age?
1 2 3 4 5 ½n -
5
5 –
½n
2n +
5
2n -
5
25% 25%25%25%A. ½n - 5B. 5 – ½nC. 2n + 5D. 2n - 5
Which expression is equivalent to
-4a(3a - 5b)?
1 2 3 4 5 -1
2a2
+ 20
ab
-12a
2 - 2
0ab
-12a
2 +
20a
-12a
2 - 9
ab
25% 25%25%25%A. -12a2 + 20abB. -12a2 - 20abC. -12a2 + 20aD. -12a2 - 9ab
Which is equivalent to(2a + 3b - 2c) + (3a - 4b - c) + (a - 5b +
4c)?
1 2 3 4 5
5a
- 6b +
c
6a
- 6b -
c
6a
- 6b +
c
6a2
- 6b
2 + c
2
25% 25%25%25%A. 5a - 6b + cB. 6a - 6b - cC. 6a - 6b + cD. 6a2 - 6b2 + c2
Given the models below, which figure
represents (x2)(x3)?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
What is √108 written in simplest
radical form?
1 2 3 4 5
25% 25%25%25%A. 2√27B. 3√12C. 6√3D. 1√83
Which is equivalent to the expression shown below?
32 · 3-3
1 2 3 4 5
25% 25%25%25%A. -3B. -1C. 1/769D. ⅓
When simplified, (2x2y3)4 equals —
1 2 3 4 5
8x6
y7
8x8
y12
16x
6y7
16x
8y12
25% 25%25%25%A. 8x6y7
B. 8x8y12
C. 16x6y7
D. 16x8y12
What are factors of 2x2 + 9x + 9?
1 2 3 4 5 (x
+ 9
)(x +
1)
(x -
3)(2
x - 3
)
(2x
+ 3)
(x +
3)
(2x
+ 9)
(x +
1)
25% 25%25%25%A. (x + 9)(x + 1)B. (x - 3)(2x - 3)C. (2x + 3)(x + 3)D. (2x + 9)(x + 1)
x2 - 81y2 =?
1 2 3 4 5 (x
+ 3
y)(x
- 27
y)
(x -
9y)(x
- 9y
)
(x +
9y)
(x -
9y)
(x -
3y)(x
+ 2
7y)
25% 25%25%25%A. (x + 3y)(x -
27y)B. (x - 9y)(x - 9y)C. (x + 9y)(x - 9y)D. (x - 3y)(x +
27y)
What is the greatest common monomial factor of
3x3 + 6xy + 9x2 + 12x2y2?
1 2 3 4 5
25% 25%25%25%A. x3y2
B. 3x2y2
C. 3xD. 3
Which is closest to the value of q if
q = √177 - √256 ?
1 2 3 4 529
.324
.5-1
.3-2
.7
25% 25%25%25%A. 29.3B. 24.5C. -1.3D. -2.7
The numbers in the table follow alinear pattern. What is the missing y
value?
1 2 3 4 5
25% 25%25%25%
A. 182B. 180C. 176D. 172
The table below shows the relation between the number of members in a club selling cookies
and the predicted number of boxes sold. Using the data shown, which equation could be used to predict the number of boxes of cookies that
the club will sell?
1 2 3 4 5
25% 25%25%25%
A. b = 60gB. b = 70gC. b = 60g + 50D. b = 50g + 50
What is the range of the relationplotted on the graph?
1 2 3 4 5
25% 25%25%25%A. {-2, -1, 0, 1, 2}B. {-2, -1, 0, 2}C. {-2, -1, 1, 2}D. {-2, -1, 0, 1, 2, 3}
The ordered pairs in the sets shown below are of the form (x, y). In which set of ordered pairs
is y a function of x?
1 2 3 4 5
25% 25%25%25%
A. {(-6, 12), (1, 8), (1, 13)}
B. {(0, 2), (0, 4), (4, 0)}C. {(7, -1), (7, -2), (7, -3)}D. {(1, 3), (2, 4), (3, 5)}
If y varies directly as x, what is theequation for the direct variation
shown in the table below?
1 2 3 4 5 y =
1/7
x
y =
7x
y =
7x
7y
= x
25% 25%25%25%
A. y = 1/7xB. y = 7xC. y = 7xD. 7y = x