Algebra I 2008 SOL Property of the Virginia Department of Education ©2008 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond,

Algebra I 2008 SOL

Property of the Virginia Department of Education©2008 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond,

Virginia 23218-2120.All rights reserved. Except as permitted by law, this material may not be reproduced or used in any

form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner.

Commonwealth of Virginia public school educators may reproduce any portion of these released tests for non-commercial educational purposes without requesting permission. All others should

direct their written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by e-mail to

[email protected].

Which is most likely the graph of a line with a positive slope?

25% 25%25%25%

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A. AB. BC. CD. D

A.B.

C. D.

Given the following equation, which could be the value of x?

(x − 1)(x + 3) = 5

1 -2 -3 -4

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

Line l has slope 2 and goes through (1,3). Which is one form of the equation for line l ?

y = x

+ 2

y = 2x + 1

y = 3x + 2

y = 2x + 5

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A. y = x + 2B. y = 2x + 1C. y = 3x + 2D. y = 2x + 5

What is the solution set for the following quadratic equation?x2 − 4x + 4 = 0

{2}

{1,3}

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A. {2}B. {−2}C. {−2,2}D. {1,3}

A. One

B. Two

C. Three

D. Four

What is the solution to the system of equations shown above?

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What is the slope of the line y = −⅓x – ⅔?

3 -3

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A. 3B. -⅓C. -⅔D. -3

What are the x-intercepts of the graph of the following equation?

y = x2 + 6x − 7

1 and 7

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A. −7and−1B. 1 and 7C. −1 and 7D. −7and1

A. One

B. Two

C. Three

D. Four

What is the solution to the following inequality?6(x + 1) ≥ 7

One

Two Thre

e Fo

ur

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21 22 23 24 25 26 27 28 29 30

Andrea has 37 coins, all nickels and dimes. The value of the 37 coins is $3.10.

How many dimes does Andrea have?

12 19 25 31

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A. 12B. 19C. 25D. 31

To train for a bicycle road race, Enrique needs to ride 150 miles per week at an average rate of 25 miles per day. The equation gives the number of miles, M, left to ride after d days. Which graph shows the number of miles Enrique has

left to ride after d days?

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A. AB. BC. CD. D

A. B. C. D.

Which is closest to the slope of the line graphed?

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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A. -3/2B. -2/3C. 2/3D. 3/2

What is the slope of the line that passes through (−3,−5) and (4,−2)?

1 3/7

-3/7 -1

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21 22 23 24 25 26 27 28 29 30

A. 1B. 3/7C. -3/7D. -1

What is the solution to the following system of equations?

x = 3,y = 4

x = 1,y = 3

x = 1,y = 2

x = 3,y = 1

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A. x = 3,y = 4B. x = 1,y = 3C. x = 1,y = 2D. x = 3,y = 1

What is the solution to the following equation?7x − 5 = 2x + 5

x = 2

x = 3

x = 4

x = 5

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A. x = 2B. x = 3C. x = 4D. x = 5

The dashed line on each grid represents y = x. On which grid is y = 4x − 2 apparently represented as

well?25% 25%25%25%

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A. AB. BC. CD. D

A. B.

C. D.

Jerri wrote these steps when solving an equation.

Which property justifies Step 1 ?

Associa

tive pr..

.

Commutative pr..

.

Dist

ributive

p...

Additive

ident..

.

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A. Associative property for additionB. Commutative property for additionC. Distributive propertyD. Additive identity property

What value of m satisfies the equation shown below?5(m − 5) = 3(m + 1)

14 9 3.5 -7.5

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A. 14B. 9C. 3.5D. -7.5

Which equation best represents the line shown on the grid?

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A. y = x − 4B. y = 4xC. x = 4D. y = 4

Which expression is not equivalent to the following expression?3×3×3×3×3×3

33 · 32

31 · 35 93

272

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A. 33 · 32

B. 31 · 35

C. 93

D. 272

Which is a factored form of the following expression?2x2 − 6x

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A. 2(x2 − 3)B. 2x(x − 3)C. 2x(1 − 3x)D. (2x + 3)(x − 2)

Written in simplest radical form,

Ente

r answ

er text.

..

100%A. Enter answer text...

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A. One

B. Two

C. Three

D. Four

Please make your selection...

One

Two Thre

e Fo

ur

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If x ≠ 0, what is the quotient when the following division is performed?

3x2 +2x

3x2 + 2x +

1

6x3 + 4x2

6x2 + 4x +

2

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A. 3x2 +2xB. 3x2 + 2x + 1C. 6x3 + 4x2

D. 6x2 + 4x + 2

A. One

B. Two

C. Three

D. Four

If 112 children sign up for a field trip and each vehicle carries x children, which expression could be used to determine the number of

vehicles needed for the trip?

One

Two Thre

e Fo

ur

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Which is equivalent to the following expression? 3a(2a + b)

6a2 + b

6a2 +3ab

5a2 + b

5a2 +3ab

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A. 6a2 + bB. 6a2 +3abC. 5a2 + bD. 5a2 +3ab

If x ≠ 0, which is equivalent to the following expression?

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A. x3 − 3x2 + 2x + 5B. x3 − 6x3 + 4x2 + 5xC. 2x3 − 6x2 + 4x + 5D. 2x4 − 6x3 + 4x2 + 5x

Which expression is equivalent to the following expression? (3x2y2)3

3x5y5

9x5y5

9x6y6

27x6y6

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A. 3x5y5

B. 9x5y5

C. 9x6y6

D. 27x6y6

Which is equivalent to the following expression? (3x+1)(4x−1)

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A. 12x2 − 1B. 12x2 − x − 1C. 12x2 + x − 1D. 12x2 + 7x − 1

Which is a factor of a2 −81 ?

a + 3

a + 9

a + 27

a + 81

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A. a + 3B. a + 9C. a + 27D. a + 81

What is the value of the expression if x = 4, y = 2, and z = 2?

5 9 10 16

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A. 5B. 9C. 10D. 16

What is the following product? (2pq2r3)(5q3r4s)

7q5r7

7q6r12

10pq5r7s

10pq6r12s

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A. 7q5r7

B. 7q6r12

C. 10pq5r7sD. 10pq6r12s

A. One

B. Two

C. Three

D. Four

Which equation fits the pattern in the table?

One

Two Thre

e Fo

ur

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In which table does y not vary directly as x ?

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A. AB. BC. CD. D

A.

B.

C.

D.

The following equation defines a function of x. f(x) = −2x + 3

If (6,n) is an element of the function, what is the value of n ?

-9 -6 -4 0

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A. -9B. -6C. -4D. 0

The number of water bottles used during a team’s football practice varies directly with the temperature. If a team uses 75 bottles when the

temperature is 60°, what is the temperature if they use 120 bottles?

96° 92°

84° 80°

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A. 96°B. 92°C. 84°D. 80°

If f(2) = 13, which could be the equation for f(x)?

f(x) =

x2 + 8

f(x) =

x + x2

f(x) =

2x3 + ...

f(x) =

3x2 + ...

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A. f(x) = x2 + 8B. f(x) = x + x2

C. f(x) = 2x3 + 5D. f(x) = 3x2 + 1

The points in the table lie on the graph of a linear function.

Which could be the function?

y = x

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A. y = xB. y = 2x − 1C. y = 3x − 2D. y = 4x − 3

Which is a zero of the function defined by the following equation?

f(x) = 2x − 6

-6 -3 2 3

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A. -6B. -3C. 2D. 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 ?

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A. {(−3,4), (1,−9), (1,4)}B. {(0,−5), (0,4), (0,5)}C. {(1,−1), (2,−1), (3,−3)}D. {(0,1), (1,−1), (1,0)}

If f(x) = 3x2 + 2x − 1, what is f(0)?

-1 0 1 4

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A. -1B. 0C. 1D. 4

Which graph does not represent a function of x ?

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A. AB. BC. CD. D

A. B.

C. D.

A. One

B. Two

C. Three

D. Four

The depth of a lake, d, varies directly with r, the amount of rainfall last month. If k is the

constant of variation, which equation represents the situation?

One

Two Thre

e Fo

ur

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Each of the following tables contains elements of an (x, y) relationship. Which table contains four points that cannot lie on the graph of a

function of x ?

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A. AB. BC. CD. D

A. B.

C. D.

Kayla works four days a week as a waitress and as a nanny. The hours she works each day are shown.

Once school starts, she wants to cut all her hours by one-half. Which matrix represents the new work schedule?

A B C D

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A. AB. BC. CD. D

A. B.

C. D.

The heights in inches of each member of the four groups of a choir are represented in the box-and-

whisker plots. Which group has the median with the greatest value?

Sopra

no Alto

Tenor Bas

s

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A. SopranoB. AltoC. TenorD. Bass

Alvin and Ben compared the weights of the members of each of their respective teams in their Physical Education class. What is the difference in

the median weights of the two teams?

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A. 0.250 lbB. 0.375 lbC. 0.500 lbD. 1.000 lb

The enrollment at an elementary school is represented by the following matrix.

If 60% of the boys and 60% of the girls are selected for a field trip, which matrix represents the number

of students going on the field trip?

A B C D

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A. AB. BC. CD. D

A. B. C. D.

What is the difference of the two matrices?

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A. AB. BC. CD. D

A. B.

C. D.

Sally believes that the more time she spends in the grocery store, the more money she spends. Her recent purchases are recorded in the table.

Which linear equation best fits the data?

y = 10 + 3x

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A. y = −3 + 10xB. y = −10 + 3xC. y = 10 + 3xD. y = −10 − 3x

Debbie recorded the time it took seven children of different ages to run one lap around the track. Using a linear equation of best fit, which is closest to the

length of time it should take Debbie’s 6-year-old niece to run one lap?

200 sec

185 sec

170 sec

140 sec

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A. 200 secB. 185 secC. 170 secD. 140 sec

Which is equivalent to the following scalar product?

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A. AB. BC. CD. D

A. B.

C. D.