Algebra I Released Items 2001. Equations and Inequalities.
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Algebra I Released Items
2001
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Equations and Inequalities
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Which is an example of thecommutative property of
addition?
1 2 3 4 5 3
+ 5
m =
3 +
(1 +
4)m
3 +
5m
= 5
m +
3
3 +
5m
= (3
+ 5
)m
3 +
5m
= 3
m +
5
25% 25%25%25%
A. 3 + 5m = 3 + (1 + 4)m
B. 3 + 5m = 5m + 3C. 3 + 5m = (3 + 5)mD. 3 + 5m = 3m + 5
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Pauline sells cookie baskets. Shecharges $5 for the basket plus $2
percookie. If one filled basket sells for $31, how many cookies are in it?
1 2 3 4 5
25% 25%25%25%A. 13B. 15C. 18D. 20
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What property of real numbersjustifies the following statement?
4x(y + 2) - 3y is equivalent to4x(y) + 4x(2) - 3y
1 2 3 4 5
25% 25%25%25%A. The associative property of multiplication
B. The commutative property of multiplication
C. The distributive property of multiplication over addition
D. The closure property of multiplication
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What is the solution to 3(x - 5) > 12?
1 2 3 4 5
x <
1
x >
1
x >
17/
3
x >
9
25% 25%25%25%A. x < 1B. x > 1C. x > 17/3D. x > 9
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The line on the grid is best described
by the equation —
1 2 3 4 5
25% 25%25%25%
A. y = x + 1B. y = x - 1C. y = -x + 1D. y = -x - 1
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What is the slope of the line that
contains (4, -1) and (3, 3)?
1 2 3 4 5-4 -½ -¼
2
25% 25%25%25%A. -4B. -½C. -¼D. 2
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Which line on the graph has anundefined slope?
1 2 3 4 5
25% 25%25%25%
A. AB. BC. CD. D
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What is the slope of the line3x + y = 5?
1 2 3 4 5
3 -3
25% 25%25%25%A. 3B. -3C. ⅓
D. -⅓
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Which equation best describes this
graph?
1 2 3 4 5
25% 25%25%25%
A. x = 5yB. x = -5C. y = -5xD. y = -5
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Which line has y-intercept -3 andx-intercept 2?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
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During a sale, an automobile dealer sold 69 cars and trucks. If she sold
27 more cars than trucks, how many of each did she sell?
1 2 3 4 5
25% 25%25%25%A. 48 cars, 21 trucksB. 45 cars, 24 trucksC. 42 cars, 27 trucksD. 35 cars, 34 trucks
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A line has a slope of -2 and contains
the point (1, -1). Which is an equation of this line?
1 2 3 4 5
25% 25%25%25%A. y = -2x - 1B. y = -x + 2C. y = -2x + 1D. y = 2x - 3
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Which is the solution to the system of equations shown?
1 2 3 4 5
25% 25%25%25%A. (-2, 8)B. (-2, 0)C. (2, 0)D. (0, -2)
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Which is an equation for the line that
contains the points (-2, 3) and (2, -1)?
1 2 3 4 5 y
= x
+ 5
y =
x -
3
y =
-x +
1
y =
-2x
- 1
25% 25%25%25%A. y = x + 5B. y = x - 3C. y = -x + 1D. y = -2x - 1
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The velocity of an object in a liquid can be described by the equation v = 20 - t -t2 where v is the velocity in meters per
second and t is time in seconds. At what time will v = 0?
1 2 3 4 5
25% 25%25%25%A. 4 secB. 5 secC. 6 secD. 7 sec
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A weather balloon in the shape of asphere has a surface area of 160
squaremeters. If the formula for the surface area of a sphere is S.A. = 4πr2, to the nearest tenth of a meter, what is the
radius of the balloon?
1 2 3 4 5 2.0
m 3
.6 m
11.
2 m
12.
7 m
25% 25%25%25%
A. 2.0 mB. 3.6 mC. 11.2 mD. 12.7 m
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Mary published her first book. She was given $10,000.00 and an additional $0.10 for each copy of the book that sold. Her earnings, d, in
dollars, fromthe publication of her book are given by
d = 10,000 + 0.1nwhere n is the number of copies sold. During the
first year Mary earned $35,000.00 from the publication and sale of her book. How many
copies of her book sold in the first year?
1 2 3 4 5
25% 25%25%25%
A. 25,000B. 35,000C. 250,000D. 350,000
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Expressions and Operations
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When completely factored, 3x2 - 48
equals —
1 2 3 4 5
3(x
2 - 4
8)
3(x
2 +
16)
3(x
- 4)
(x +
4)
(3x
- 16)
(x +
3)
25% 25%25%25%A. 3(x2 - 48)B. 3(x2 + 16)C. 3(x - 4)(x + 4)D. (3x - 16)(x + 3)
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Victor bought a computer for $1,800. He made a down payment of $200
and will pay the rest in 5 equal payments. If p represents the amount of each payment, which equation can
be used to find this amount?
1 2 3 4 5
25% 25%25%25%
A. $200p = $1,800B. $1,800 + 5p = $200C. $1,800 + $200 = 5pD. $1,800 = 5p + $200
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When completely factored, x2 + x - 12
equals —
1 2 3 4 5 (x
+ 3
)(x -
4)
(x +
4)(x
- 3)
(x +
7)(x
- 5)
(x +
12)
(x -
1)
25% 25%25%25%A. (x + 3)(x - 4)B. (x + 4)(x - 3)C. (x + 7)(x - 5)D. (x + 12)(x - 1)
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The population of Asia is about3.4 x 109. The population of Africa is
about 7 x 108. About how many more
people live in Asia than live in Africa?
1 2 3 4 5
25% 25%25%25%
A. 27,000,000B. 270,000,000C. 360,000,000D. 2,700,000,000
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Which is equivalent to(5x2 + 4x + 1)(-7x + 2)?
1 2 3 4 5 -2
x2 +
6x
+ 1
5x2
- 3x
- 1
5x2
- 3x
+ 3
5x2
+ 1
1x +
3
25% 25%25%25%A. -2x2 + 6x + 1B. 5x2 - 3x - 1C. 5x2 - 3x + 3D. 5x2 + 11x + 3
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Which expression is equivalent to
1 2 3 4 5
25% 25%25%25%A. 4x2
B. 6x2
C. 4x2 - 1D. 6x2 - 1
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Which is closest to the value of 3√5?
1 2 3 4 53.
96.
77.
58.
7
25% 25%25%25%
A. 3.9B. 6.7C. 7.5D. 8.7
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One factor of 5x2 + 13x - 6 is —
1 2 3 4 5 5
x - 6
5x
- 1
5x
- 2
5x
- 3
25% 25%25%25%A. 5x - 6B. 5x - 1C. 5x - 2D. 5x - 3
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What is the value of x(5 + y) if x = 4 and y = 2?
1 2 3 4 518 22 28 36
25% 25%25%25%A. 18B. 22C. 28D. 36
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Ben’s Bakery charges a fee of 2d + 25
to deliver d boxes of baked goods while Dan’s Bakery charges 3d + 20.
Which expression describes how much more Dan’s Bakery charges
than Ben’s Bakery?
1 2 3 4 5
25% 25%25%25%A. 5d + 45B. d - 5C. d + 5D. -d + 5
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Which is equivalent to b6/b2?
1 2 3 4 5 1
/b3
b3
b4
b8
25% 25%25%25%A. 1/b3
B. b3
C. b4
D. b8
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Which is closest to the value of√12 · √15 ?
1 2 3 4 552
13.5
13.4 6.
7
25% 25%25%25%A. 52.0B. 13.5C. 13.4D. 6.7
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Relations and Functions
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Which of the following tables does not
represent a function?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
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Which equation most likely describes
the relation indicated by the table?
1 2 3 4 5 y
= x
+ 4
y =
x -
2
y =
-x +
4
y =
-x -
8
25% 25%25%25%
A. y = x + 4B. y = x - 2C. y = -x + 4D. y = -x - 8
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The table shows the relationship between the cost, c, in dollars of a taxi ride and the number, t, of minutes the ride lasts. Which
equation algebraically represents this data?
1 2 3 4 5
25% 25%25%25%
A. c = 3 + 0.35tB. c = 2.75 + 0.5tC. c = t - 0.25D. c = 4 + 0.15t
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In which graph is y a direct variation of x?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
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The graph shows part of a function ƒ. What is the range of the function?
1 2 3 4 5
25% 25%25%25%A. All real numbersB. All real numbers
less than or equal to five
C. All real numbers greater than zero
D. All real numbers between 2 and 6
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In which table are all the points represented by the equation
1 2 3 4 5
25% 25%25%25%
A.
B.
C.
D.
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Which equation represents an inverse variation?
1 2 3 4 5
25% 25%25%25%
A. B.
C.D.
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Which of the following represents the graph of a function?
1 2 3 4 5
25% 25%25%25%
A. B.
C. D.
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Which of the following sets of ordered pairs is a function?
1 2 3 4 5
{(2,
1),
(2, 2
), (3
, 4..
{(-2
, -1)
, (1,
2),
(3,..
.
{(1,
2),
(2, 2
), (3
, 3..
{(1,
1),
(2, 1
), (3
, 2..
25% 25%25%25%A. {(2, 1), (2, 2), (3, 4), (5, 6)}B. {(-2, -1), (1, 2), (3, 4), (1,
5)}C. {(1, 2), (2, 2), (3, 3), (2, 4)}D. {(1, 1), (2, 1), (3, 2), (4, 4)}
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Using the function machine from the diagram, what is ƒ(10)?
1 2 3 4 5
25% 25%25%25%A. 5B. 7.5C. 15D. 25
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Which is a zero of the functionƒ(x) = x2 + 3x - 4?
1 2 3 4 5-4 -1 3 4
25% 25%25%25%
A. -4B. -1C. 3D. 4
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What is the range of the function
ƒ(x) = ½x + 5 when the domain is{2, 4, 6}?
1 2 3 4 5
25% 25%25%25%A. {-6, -2, 2}B. {6, 7, 8}C. {2, 4, 6}D. {1, 3, 5}
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Statistics
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Based on the scatterplot, which x value would best match y = 17?
1 2 3 4 5
25% 25%25%25%
A. 8B. 11C. 14D. 17
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Which of the following operationswould result in the matrix
1 2 3 4 5
25% 25%25%25%
A. B.
C.
D.
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During a summer reading program, Mary read 9 books. The books contained 217
pages, 138 pages, 159 pages, 356 pages, 270 pages, 112 pages, 138 pages, 210 pages, and 195 pages. What was the
median number of pages of the 9 books that Mary read during the summer
reading program?
1 2 3 4 5
25% 25%25%25%
A. 138B. 159C. 195D. 244
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In which data set is the median value equal to the mean value?
1 2 3 4 5
{2, 4
, 6, 7
, 8}
{12,
18,
20,
23,
24}
{16,
17,
18,
19,
20}
{50,
60,
65,
75,
85}
25% 25%25%25%A. {2, 4, 6, 7, 8}B. {12, 18, 20, 23,
24}C. {16, 17, 18, 19,
20}D. {50, 60, 65, 75,
85}
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Jorge made the following stem-and-leaf diagram of the weights of the members of the football team he was coaching. What was the
mode of the weight ofthe players on the team?
1 2 3 4 5
25% 25%25%25%A. 145B. 150C. 152D. 168
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Using the data plotted on the scatterplot, which is the best prediction
for income in the year 2000?
1 2 3 4 5
25% 25%25%25%
A. 35,000B. 43,000C. 50,000D. 57,000