Algebra I Released Items

1
Algebra I Released Items

• 2001

2
Equations and Inequalities
3
Which is an example of thecommutative property
of addition?

1. 3 5m 3 (1 4)m
2. 3 5m 5m 3
3. 3 5m (3 5)m
4. 3 5m 3m 5

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4
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. 13
2. 15
3. 18
4. 20

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5
What property of real numbersjustifies the
following statement?4x(y 2) - 3y is equivalent
to4x(y) 4x(2) - 3y

1. The associative property of multiplication
2. The commutative property of multiplication
3. The distributive property of multiplication over
   addition
4. The closure property of multiplication

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6
What is the solution to 3(x - 5) gt 12?

1. x lt 1
2. x gt 1
3. x gt 17/3
4. x gt 9

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7
The line on the grid is best describedby the
equation

1. y x 1
2. y x - 1
3. y -x 1
4. y -x - 1

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8
What is the slope of the line thatcontains (4,
-1) and (3, 3)?

1. -4
2. -½
3. -¼
4. 2

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9
Which line on the graph has anundefined slope?

1. A
2. B
3. C
4. D

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10
What is the slope of the line3x y 5?

1. 3
2. -3
3. ?
4. -?

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11
Which equation best describes thisgraph?

1. x 5y
2. x -5
3. y -5x
4. y -5

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12
Which line has y-intercept -3 andx-intercept 2?

1. A
2. B
3. C
4. D

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13
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. 48 cars, 21 trucks
2. 45 cars, 24 trucks
3. 42 cars, 27 trucks
4. 35 cars, 34 trucks

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14
A line has a slope of -2 and containsthe point
(1, -1). Which is an equation of this line?

1. y -2x - 1
2. y -x 2
3. y -2x 1
4. y 2x - 3

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15
Which is the solution to the system of equations
shown?

1. (-2, 8)
2. (-2, 0)
3. (2, 0)
4. (0, -2)

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16
Which is an equation for the line thatcontains
the points (-2, 3) and (2, -1)?

1. y x 5
2. y x - 3
3. y -x 1
4. y -2x - 1

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17
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. 4 sec
2. 5 sec
3. 6 sec
4. 7 sec

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18
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. 4pr2,
to the nearest tenth of a meter, what is the
radius of the balloon?

1. 2.0 m
2. 3.6 m
3. 11.2 m
4. 12.7 m

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19
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 byd 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. 25,000
2. 35,000
3. 250,000
4. 350,000

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20
Expressions and Operations
21
When completely factored, 3x2 - 48equals

1. 3(x2 - 48)
2. 3(x2 16)
3. 3(x - 4)(x 4)
4. (3x - 16)(x 3)

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22
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. 200p 1,800
2. 1,800 5p 200
3. 1,800 200 5p
4. 1,800 5p 200

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23
When completely factored, x2 x - 12equals

1. (x 3)(x - 4)
2. (x 4)(x - 3)
3. (x 7)(x - 5)
4. (x 12)(x - 1)

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24
The population of Asia is about3.4 x 109. The
population of Africa isabout 7 x 108. About how
many morepeople live in Asia than live in Africa?

1. 27,000,000
2. 270,000,000
3. 360,000,000
4. 2,700,000,000

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25
Which is equivalent to(5x2 4x 1)(-7x 2)?

1. -2x2 6x 1
2. 5x2 - 3x - 1
3. 5x2 - 3x 3
4. 5x2 11x 3

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26
Which expression is equivalent to

1. 4x2
2. 6x2
3. 4x2 - 1
4. 6x2 - 1

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27
Which is closest to the value of 3v5?

1. 3.9
2. 6.7
3. 7.5
4. 8.7

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28
One factor of 5x2 13x - 6 is

1. 5x - 6
2. 5x - 1
3. 5x - 2
4. 5x - 3

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29
What is the value of x(5 y) if x 4 and y 2?

1. 18
2. 22
3. 28
4. 36

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30
Bens Bakery charges a fee of 2d 25to deliver
d boxes of baked goods while Dans Bakery charges
3d 20. Which expression describes how much more
Dans Bakery charges than Bens Bakery?

1. 5d 45
2. d - 5
3. d 5
4. -d 5

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31
Which is equivalent to b6/b2?

1. 1/b3
2. b3
3. b4
4. b8

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32
Which is closest to the value ofv12 v15 ?

1. 52.0
2. 13.5
3. 13.4
4. 6.7

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33
Relations and Functions
34
Which of the following tables does notrepresent
a function?

1. A
2. B
3. C
4. D

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35
Which equation most likely describesthe relation
indicated by the table?

1. y x 4
2. y x - 2
3. y -x 4
4. y -x - 8

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36
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. c 3 0.35t
2. c 2.75 0.5t
3. c t - 0.25
4. c 4 0.15t

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37
In which graph is y a direct variation of x?

1. A
2. B
3. C
4. D

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38
The graph shows part of a function ƒ. What is the
range of the function?

1. All real numbers
2. All real numbers less than or equal to five
3. All real numbers greater than zero
4. All real numbers between 2 and 6

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39
In which table are all the points represented by
the equation

1. A
2. B
3. C
4. D

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40
Which equation represents an inverse variation?

1. A
2. B
3. C
4. D

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41
Which of the following represents the graph of a
function?

1. A
2. B
3. C
4. D

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42
Which of the following sets of ordered pairs is a
function?

1. (2, 1), (2, 2), (3, 4), (5, 6)
2. (-2, -1), (1, 2), (3, 4), (1, 5)
3. (1, 2), (2, 2), (3, 3), (2, 4)
4. (1, 1), (2, 1), (3, 2), (4, 4)

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43
Using the function machine from the diagram, what
is ƒ(10)?

1. 5
2. 7.5
3. 15
4. 25

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44
Which is a zero of the functionƒ(x) x2 3x -
4?

1. -4
2. -1
3. 3
4. 4

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45
What is the range of the functionƒ(x) ½x 5
when the domain is2, 4, 6?

1. -6, -2, 2
2. 6, 7, 8
3. 2, 4, 6
4. 1, 3, 5

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46
Statistics
47
Based on the scatterplot, which x value would
best match y 17?

1. 8
2. 11
3. 14
4. 17

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48
Which of the following operationswould result in
the matrix

1. A
2. B
3. C
4. D

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49
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. 138
2. 159
3. 195
4. 244

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50
In which data set is the median value equal to
the mean value?

1. 2, 4, 6, 7, 8
2. 12, 18, 20, 23, 24
3. 16, 17, 18, 19, 20
4. 50, 60, 65, 75, 85

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51
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. 145
2. 150
3. 152
4. 168

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52
Using the data plotted on the scatterplot, which
is the best prediction for income in the year
2000?

1. 35,000
2. 43,000
3. 50,000
4. 57,000

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