Algebra I 2007 EOC SOL Property of the Virginia Department of Education ©2007 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 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 to

If ⅓t – 6 = 15 what is the value of t? A.21 B.27 C.53 D.63

What is the solution to the following system of linear equations? A.(−1,2) B.(0,6) C.(1,2) D.(2, −1)

What is the solution set for the equation below? (x+5)(x+3)= A.{0, 8} B.{3, 5} C.{−2, 8} D.{−5, −3}

What is the slope of the line that passes through the points (5, 0) and (10, 0)? A.0 B.1 C.5 D.Undefined

Which is the solution to the system of equations shown? A. x = −5, y = 2 B. x = −2, y = 5 C. x = −1, y = -7 D. x = 2, y = -5

Which is most likely the equation of the line shown on the graph? A. y = x + 5 B. y = 5x C. y = 5 D. x = 5

Which could be an equation for the line shown on the grid? A. y = -½ x + 2 B. y = -½x − 2 C. y = −2x + 2 D. y = 2x - 2

Which is an equation for the line with slope = ½ and y-intercept of 3? A. y = −3x + ½ B. y = 3x + ½ C. y = ½x + 3 D. y = - ½x − 3

Which property justifies rewriting A.Associative property of multiplication B.Distributive property C.Commutative property of multiplication D.Associative property of addition

Which graph best represents a line with an undefined slope? A.B. C.D.

Which graph best represents a line with an x-intercept of 2 and a y-intercept of -3? A.B. C. D.

Which graph best represents the following function? y = 4x A.B. C.D.

What is the solution to the system of equations? A. x = −1, y = 2 B. x = −1, y = -2 C. x = 1, y = -2 D. x = 1, y = 2

While solving an equation, Lenny wrote the following steps on the board. (2x + 1) +5 = 9 2x + (1 + 5) = 9 What property of real numbers guarantees that the second equation is equivalent to the first? A.Associative property of addition B.Additive inverse property C.Commutative property of addition D.Distributive property

What is the solution to the following equation? 5(x + 2) = 7(4 – x) A B.1.5 C.3.2 D.9.0

What are the x-intercepts of the graph of the following equation? y = x 2 + 5x A.−4 and -1 B.−2 and 3 C.−1 and 1 D.−1 and 2

What values of x make the following inequality true? −3(x + 1) ≤ A. x ≥ 6 B. x ≤ 6 C. x ≥ −6 D. x ≤ −6

The profit equation for a manufacturing firm is P = x 2 −2,500 where P is profit and x is the number of units sold. For what number of units sold does the company break even (P = 0)? A.50 units sold B.100 units sold C.500 units sold D.1,250 units sold

What is the value of if x = -6 and y = 2? A.−26.5 B.-8.5 C.-3.5 D.-0.5

A.One B.Two C.Three D.Four The expression is the simplest radical form of —

The figure below is composed of rectangles. Which expression represents the shaded area? A. 4x −10 B. x 2 − 6 C. x 2 −5 + 6 D. x 2 + 5x - 6

Which is a factored form of the following expression? 5x 2 − 20x A.5(x 2 −4) B.5(x – 2) 2 C.5x(x −4) D.(5x−4)(x + 5)

Which binomial is a factor of the following expression? 2x 2 + x A. x −1 B. 2x +2 C. 2x −1 D. 2x +1

Which polynomial is equivalent to the following expression? (2x 2 − 5x + 6) + (5x 2 – 3x +4) A.7x 2 − 8x + 1 B.7x 2 − 2x + 1 C.7x 2 − 8x + 2 D.7x 2 − 2x

A.One B.Two C.Three D.Four What is written in simplest radical form?

What is the value of 3x + 4y if x = ⅓ and y = ½? A.17 B.3 C.2 D.1

Which is a simplified form of the following expression? (xy 3 )(xy) A. x 2 y 7 B. x 4 y 12 C. x 5 y 7 D. x 5 y 12

Which is equivalent to the following expression? (2.3 × 10 4 ) − (6.5 × 10 3 ) A.-42 B.165 C.1,650 D.16,500

What is the value of if m = 7,n = 18 and r= 6? A.3.5 B.10.5 C.21 D.63

When factored completely, x 2 – 9 equals — A.(x + 3) 2 B.(x − 3) 2 C.(x + 1)(x – 9) D.(x + 3)(x – 3)

For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object that has a volume of 20 cubic inches weighs 28 ounces, what is the constant of variation? A.5/7 B.7/5 C.20 D.28

What is the range of the function f (x) = x 2 − 3 when the domain is {1, 3, 5}? A.{−2, 22} B.{−2, 0, 2} C.{−2, 6, 22} D.{2, 4, 6}

Which graph shows that y varies directly as x ? A. B. C.D.

Which is a zero of the following function? f (x) = x 2 − x − A.1 B.2 C.3 D.4

The ordered pairs in the sets shown below are of the form (x, y). In which set of ordered pairs is y not a function of x ? A.{(1,4),(2,4),(3,4),(4,4)} B.{(2,0),(4,1),(6,2),(8,3)} C.{(11,2),(12,4),(13,6)} D.{(−6,37),(−6,10),(−5,26)}

If f (x)= 8x + 6, what is f (−1)? A.−14 B.-2 C.2 D.14

Which of the following could not be the graph of a function of x? A. B. C. D.

If f (x)= 5x – 2, what is f (3)? A.0 B.8 C.13 D.15

Which is a zero of the function defined by the following equation? f (x)=5x − A.-20 B.0 C.4 D.5

The elements of a function of x are (−4, 1),(−2, 0), and (8, −1). What is the range of the function? A.{−1,1} B.{−1,0,1} C.{−4,−2,8} D.{−4,−2,−1,0,1,8}

The following chart is used to calculate the price, P, in cents per color brochure for a certain bulk number of brochures, n, ordered by a company. Which equation best represents this relationship? A.Choice One B.Choice Two C.Choice Three D.Choice Four

Distance, d, varies directly as time, t, when speed remains constant. If d is 240 miles when t is 8 hours, what is the constant speed? A.1,920 miles per hour B.232 miles per hour C.30 miles per hour D.1/30 miles per hour

If the mean of a set of 12 numbers is 13, then the sum of the numbers is — A.25 B.144 C.156 D.169

The times in minutes for each of Curt’s phone calls this week are shown in this list. 9, 15, 5, 7, 9, 12, 11, 4 Which statement is true regarding the duration of his calls? A.The mode is greater than 7. B.The mean is less than 8. C.The range is less than 10. D.The median is greater than 10.

The table shows the clothing purchases Jenny made last month and the tax charged for each purchase. Which equation represents the line that best fits the data? A. t = 0.09c B. t = 0.91c C. t = 0.09c D. t =1.09c

The table below shows the home construction firms in the community and the number of homes each built last year. Which of the following statements is true regarding the number of homes built? A.The range is less than the mean. B.The mode is greater than the mean. C.The mode is greater than the median. D.The median is greater than the mean.

Matrix A. B. C. D.

Given the following matrices, what is Q − P? A.B.C.D.

Which matrix is equal to M + N? A. B.C.D.

The graph represents the relationship between the bags of popcorn sold and the amount of profit made during the Newton Honor Society’s popcorn sale. Which is closest to the minimum number of bags that must be sold to make a $200 profit? A.250 B.300 C.350 D.400