1. 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 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 Student_Assessment@doe.virginia.gov.

2. If ⅓t – 6 = 15 what is the value of t? 1234567891011121314151617181920 21222324252627282930 A.21 B.27 C.53 D.63

3. What is the solution to the following system of linear equations? 1234567891011121314151617181920 21222324252627282930 A.(−1,2) B.(0,6) C.(1,2) D.(2, −1)

4. What is the solution set for the equation below? (x+5)(x+3)=0 1234567891011121314151617181920 21222324252627282930 A.{0, 8} B.{3, 5} C.{−2, 8} D.{−5, −3}

5. What is the slope of the line that passes through the points (5, 0) and (10, 0)? 1234567891011121314151617181920 21222324252627282930 A.0 B.1 C.5 D.Undefined

6. Which is the solution to the system of equations shown? 1234567891011121314151617181920 21222324252627282930 A. x = −5, y = 2 B. x = −2, y = 5 C. x = −1, y = -7 D. x = 2, y = -5

7. Which is most likely the equation of the line shown on the graph? 1234567891011121314151617181920 21222324252627282930 A. y = x + 5 B. y = 5x C. y = 5 D. x = 5

8. Which could be an equation for the line shown on the grid? 1234567891011121314151617181920 21222324252627282930 A. y = -½ x + 2 B. y = -½x − 2 C. y = −2x + 2 D. y = 2x - 2

9. Which is an equation for the line with slope = ½ and y-intercept of 3? 1234567891011121314151617181920 21222324252627282930 A. y = −3x + ½ B. y = 3x + ½ C. y = ½x + 3 D. y = - ½x − 3

10. Which property justifies rewriting 1234567891011121314151617181920 21222324252627282930 A.Associative property of multiplication B.Distributive property C.Commutative property of multiplication D.Associative property of addition

11. Which graph best represents a line with an undefined slope? 1234567891011121314151617181920 21222324252627282930 A.B. C.D.

12. Which graph best represents a line with an x-intercept of 2 and a y-intercept of -3? 1234567891011121314151617181920 21222324252627282930 A.B. C. D.

13. Which graph best represents the following function? y = 4x + 2 1234567891011121314151617181920 21222324252627282930 A.B. C.D.

14. What is the solution to the system of equations? 1234567891011121314151617181920 21222324252627282930 A. x = −1, y = 2 B. x = −1, y = -2 C. x = 1, y = -2 D. x = 1, y = 2

15. 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? 1234567891011121314151617181920 21222324252627282930 A.Associative property of addition B.Additive inverse property C.Commutative property of addition D.Distributive property

16. What is the solution to the following equation? 5(x + 2) = 7(4 – x) 1234567891011121314151617181920 21222324252627282930 A. -9.0 B.1.5 C.3.2 D.9.0

17. What are the x-intercepts of the graph of the following equation? y = x 2 + 5x + 4 1234567891011121314151617181920 21222324252627282930 A.−4 and -1 B.−2 and 3 C.−1 and 1 D.−1 and 2

18. What values of x make the following inequality true? −3(x + 1) ≤ 15 1234567891011121314151617181920 21222324252627282930 A. x ≥ 6 B. x ≤ 6 C. x ≥ −6 D. x ≤ −6

19. 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)? 1234567891011121314151617181920 21222324252627282930 A.50 units sold B.100 units sold C.500 units sold D.1,250 units sold

20. What is the value of if x = -6 and y = 2? 1234567891011121314151617181920 21222324252627282930 A.−26.5 B.-8.5 C.-3.5 D.-0.5

21. A.One B.Two C.Three D.Four The expression is the simplest radical form of — 1234567891011121314151617181920 21222324252627282930

22. The figure below is composed of rectangles. Which expression represents the shaded area? 1234567891011121314151617181920 21222324252627282930 A. 4x −10 B. x 2 − 6 C. x 2 −5 + 6 D. x 2 + 5x - 6

23. Which is a factored form of the following expression? 5x 2 − 20x 1234567891011121314151617181920 21222324252627282930 A.5(x 2 −4) B.5(x – 2) 2 C.5x(x −4) D.(5x−4)(x + 5)

24. Which binomial is a factor of the following expression? 2x 2 + x - 1 1234567891011121314151617181920 21222324252627282930 A. x −1 B. 2x +2 C. 2x −1 D. 2x +1

25. Which polynomial is equivalent to the following expression? (2x 2 − 5x + 6) + (5x 2 – 3x +4) 1234567891011121314151617181920 21222324252627282930 A.7x 2 − 8x + 1 B.7x 2 − 2x + 1 C.7x 2 − 8x + 2 D.7x 2 − 2x

26. A.One B.Two C.Three D.Four What is written in simplest radical form? 1234567891011121314151617181920 21222324252627282930

27. What is the value of 3x + 4y if x = ⅓ and y = ½? 1234567891011121314151617181920 21222324252627282930 A.17 B.3 C.2 D.1

28. Which is a simplified form of the following expression? (xy 3 )(xy) 4 1234567891011121314151617181920 21222324252627282930 A. x 2 y 7 B. x 4 y 12 C. x 5 y 7 D. x 5 y 12

29. Which is equivalent to the following expression? (2.3 × 10 4 ) − (6.5 × 10 3 ) 1234567891011121314151617181920 21222324252627282930 A.-42 B.165 C.1,650 D.16,500

30. What is the value of if m = 7,n = 18 and r= 6? 1234567891011121314151617181920 21222324252627282930 A.3.5 B.10.5 C.21 D.63

31. When factored completely, x 2 – 9 equals — 1234567891011121314151617181920 21222324252627282930 A.(x + 3) 2 B.(x − 3) 2 C.(x + 1)(x – 9) D.(x + 3)(x – 3)

32. 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? 1234567891011121314151617181920 21222324252627282930 A.5/7 B.7/5 C.20 D.28

33. What is the range of the function f (x) = x 2 − 3 when the domain is {1, 3, 5}? 1234567891011121314151617181920 21222324252627282930 A.{−2, 22} B.{−2, 0, 2} C.{−2, 6, 22} D.{2, 4, 6}

34. Which graph shows that y varies directly as x ? 1234567891011121314151617181920 21222324252627282930 A. B. C.D.

35. Which is a zero of the following function? f (x) = x 2 − x − 12 1234567891011121314151617181920 21222324252627282930 A.1 B.2 C.3 D.4

36. 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 ? 1234567891011121314151617181920 21222324252627282930 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)}

37. If f (x)= 8x + 6, what is f (−1)? 1234567891011121314151617181920 21222324252627282930 A.−14 B.-2 C.2 D.14

38. Which of the following could not be the graph of a function of x? 1234567891011121314151617181920 21222324252627282930 A. B. C. D.

39. If f (x)= 5x – 2, what is f (3)? 1234567891011121314151617181920 21222324252627282930 A.0 B.8 C.13 D.15

40. Which is a zero of the function defined by the following equation? f (x)=5x − 20 1234567891011121314151617181920 21222324252627282930 A.-20 B.0 C.4 D.5

41. The elements of a function of x are (−4, 1),(−2, 0), and (8, −1). What is the range of the function? 1234567891011121314151617181920 21222324252627282930 A.{−1,1} B.{−1,0,1} C.{−4,−2,8} D.{−4,−2,−1,0,1,8}

42. 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 1234567891011121314151617181920 21222324252627282930

43. 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? 1234567891011121314151617181920 21222324252627282930 A.1,920 miles per hour B.232 miles per hour C.30 miles per hour D.1/30 miles per hour

44. If the mean of a set of 12 numbers is 13, then the sum of the numbers is — 1234567891011121314151617181920 21222324252627282930 A.25 B.144 C.156 D.169

45. 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? 1234567891011121314151617181920 21222324252627282930 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.

46. 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? 1234567891011121314151617181920 21222324252627282930 A. t = 0.09c + 2.89 B. t = 0.91c C. t = 0.09c D. t =1.09c

47. 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? 1234567891011121314151617181920 21222324252627282930 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.

48. Matrix 1234567891011121314151617181920 21222324252627282930 A. B. C. D.

49. Given the following matrices, what is Q − P? 1234567891011121314151617181920 21222324252627282930 A.B.C.D.

50. Which matrix is equal to M + N? 1234567891011121314151617181920 21222324252627282930 A. B.C.D.

51. 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? 1234567891011121314151617181920 21222324252627282930 A.250 B.300 C.350 D.400