1. Patterns, Functions and Algebra Released SOLs

2. Notes Questions from all released SOLs 2004 and 2007 questions are labeled as such in upper left corner SOLs are attached to enable “results by standards” reports Slides can be hidden by using the “Hide slide” button on the Slide Show ribbon – Use when you don’t want to use certain test questions

3. Which is true for all pairs of values in the table? (SOL 8.14a)1234567891011121314151617181920212223242526272829303132 1.y = 2x – 2 2.y = 2x + 2 3.y = 4x 4.y =x +3

4. What value of y makes y +(4 - 2y) = 2 true? (SOL 8.15)1234567891011121314151617181920212223242526272829303132 1.0 2.2 3.3 4.4

5. When 10 is added to the product of 5 and a number, the result is 50. What is the number? (SOL 8.15)1234567891011121314151617181920212223242526272829303132 1.5 2.8 3.10 4.12

6. Which graph shows a line that contains the points in the table of ordered pairs? (SOL 8.16) A. B. C.D. 1234567891011121314151617181920212223242526272829303132 xy 31 0-2 -3-5

7. The Vasquez family drove 165 miles in 3 hours. At this same rate, how many miles could they travel in 8 hours? (SOL 8.17)1234567891011121314151617181920212223242526272829303132 1.61.875 2.423.3 3.440 4.520

8. A rock that weighed 1.2 pounds on the moon weighed 7.06 pounds on Earth. About how much would an astronaut who weighs 174 pounds on Earth weigh on the moon? (SOL 8.17)1234567891011121314151617181920212223242526272829303132 1.14.5 lbs 2.24.65 lbs 3.29.58 lbs 4.1, 023.53 lbs

9. A car-rental agency charges $38 per day plus $0.21 for each mile driven. Sandra paid $88.40 for renting a car from them for one day. Which of the following could be used to find the number of miles she drove that day? 8.17 12345 A.0.21x + 38 = 88.4 B.0.21x = 88.4 C.38x = 0.21(88.4) D.38x + 0.21 = 88.4 2004

10. What value for t makes this equation true? 8.15 12345 2004 A.17 B.31 C.89 D.103

11. Which number replaces the ‘‘?’’ in the table? 8.14b 12345 A.1/81 B.1/9 C.-1 D.-9 2004

12. Ron wanted to find a rule for finding the terms in this sequence of numbers. 1 2 6 24... He rewrote the first four terms this way. 1 1·2 1·2·3 1·2·3·4 If Ron continues to write terms this way, what will be the sixth term in the sequence? 8.17 12345 2004 A.216 B.480 C.600 D.720

13. Jeffrey’s dogs ate 42 pounds of food during July. At that rate, which is closest to the number of days a 100-pound bag of dog food would last? 8.17 12345 A.3 B.74 C.135 D.140 2004

14. What is the solution to ½x + 3 = 7? 8.15 12345 2004 A.2 B.4 C.5 D.8

15. Don is solving the sentence below for x. 5x – 8 = 0 Which of the following is equivalent to this sentence? 8.15 12345 A. x – 8 = 1/5 B. x – 8 = -5 C. 5x = 8 D. 5x = -8 2004

16. Laureen is studying her genealogy and has started a family tree of ancestors from which she is directly descended. Laureen has been able to identify direct ancestors for six previous generations. How many direct ancestors does she have in the 6 th generation before hers? 8.17 12345 2004 A.12 B.16 C.32 D.64

17. Laurie used 5 yards of fabric to make 2 costumes for the school play. How many yards of fabric would she need to make 20 more of these costumes? 8.17 12345 A.8 B.27 C.40 D.50 2004

18. Part of the statement below is circled. Which best describes the circled part of the statement? 8.18 12345 2004 A.Coefficient B.Variable C.Term D.Expression

19. Which graph corresponds to y = 2x - 2? 8.16 12345 A.B. C.D. 2004

20. Which means “the sum of 8 and 4 times a number is 36”? 8.15 12345 2004 A.8x + 4 = 36 B.4x + 8 = 36 C.4(x + 8) = 36 D.4x = 36 + 8

21. A parking garage charges $2.00 for the first hour and $0.80 for each additional hour. Which of the following could be used to find C, the cost in dollars of parking h hours? 8.15 12345 2004 A.C = 0.80(h - 1) + 2 B.C = 2(h - 1) + 0.80 C.C = 2.80(h - 1) D.C = 3.60(h - 1)

22. Which is the function described by the table of ordered pairs? 8.14a 12345 2004 A.y = x + 1 B.y = 3x C.y = 2x + 3 D.y = x + 13

23. A taxi charges $2.00 for up to and including the first mile, and $1.60 for each mile thereafter. What would the taxi charge for a trip of 4 miles? 8.17 12345 A.$6.40 B.$6.80 C.$8.00 D.$8.40 2004

24. A bottle of liquid dog vitamins indicates that a dog gets 2 drops of vitamins each day for every 5 pounds of body weight. How many drops of vitamins should a 20-pound dog get each day? 8.17 12345 A.2 B.4 C.8 D.22 2004

25. A function of x containing four ordered pairs of the form (x, y) is shown below. {(1,3),(2,4),(5,7),(6,8)} What is the domain of the function? 8.14a 1234567891011121314151617181920 21222324252627282930 A.{1,2,5,6} B.{3,4,7,8} C.{1,2,3,4} D.{5,6,7,8} 2007

26. Given the function of x defined by y = 3x + 5, if the domain is {−4,−1,2,5}, what is the range? 8.14a 1234567891011121314151617181920 21222324252627282930 A.{−20,−11,−2,7} B.{−7,−3,−2,−1} C.{−3,−2,−1,0} D.{−7,2,11,20} 2007

27. Which statement generalizes the pattern shown in the table below? 8.17 A.Choice One B.Choice Two C.Choice Three D.Choice Four 1234567891011121314151617181920 21222324252627282930 2007

28. What is the solution to 1234567891011121314151617181920 21222324252627282930 A.4 B.6 C.96 D.144 2007 8.15

29. The formula shows that c, the total cost of buying pizzas at Al’s Restaurant, depends on p, the number of pizzas ordered. c = 9p What is the independent variable in the formula? 8.18 1234567891011121314151617181920 21222324252627282930 A. p B. c C. 9 D. = 2007

30. A.275 B.27.5 C.9.09 D.9 What is the solution to the proportion below? 8.17 1234567891011121314151617181920 21222324252627282930 2007

31. Which table could be used to graph the following? 8.14b 1234567891011121314151617181920 21222324252627282930 A. B. C. D. 2007

32. Which is the closest to the circumference of a circle with a diameter of 17 inches? 8.17 1234567891011121314151617181920 21222324252627282930 A.27 in. B.53 in. C.227 in. D.907 in. 2007

33. A cylindrical chemical tank is 12 feet high and has a diameter of 45 feet. Which is closest to the number of cubic feet of liquid the tank will hold? 8.17 1234567891011121314151617181920 21222324252627282930 A.38,151 B.19,076 C.15,890 D.141 2007

34. Which is true for all pairs of values in the table below? 8.14b 1234567891011121314151617181920 21222324252627282930 A.B. C. D. 2007

35. What value of x makes the following statement true? 8.15 19 = 5x + 4 1234567891011121314151617181920 21222324252627282930 A.23 B.15 C.4 D.3 2007

36. Which is one of the solutions to the following? 8.15 2x + 4 < 12 1234567891011121314151617181920 21222324252627282930 A.6 B.5 C.4 D.3 2007

37. Which is a table of ordered pairs defined by y = 2x − 12? 8.14b 1234567891011121314151617181920 21222324252627282930 A.B. C.D. 2007

38. Which table of ordered pairs could be used to graph y = 4x – 5? 8.14b 1234567891011121314151617181920 21222324252627282930 A. B. C. D. 2007

39. A towing company charges a flat fee of $50 in addition to $2 a mile to tow vehicles. Which equation shows the relation between y, the total cost, and x, the number of miles a vehicle is towed? 1234567891011121314151617181920 21222324252627282930 A.A B.B C.C D.D

40. Which graph best represents the following? y = x − 3 1234567891011121314151617181920 21222324252627282930 A. B. C. D.

41. Which is one value of the set of x that makes the following true? 7x + 3 > 17 1234567891011121314151617181920 21222324252627282930 A.0 B.1 C.2 D.3

42. Which ordered pair (x, y) is a solution to the following? Y = 3x + 10 1234567891011121314151617181920 21222324252627282930 A.(2,13) B.(−2,16) C.(−3,1) D.(1,11)

43. Steven read that the actual distance between Memphis and Chicago is about 525 miles. On a map, the distance between the two cities is about 10½ inches. Which is most likely the scale used to make the map? 1234567891011121314151617181920 21222324252627282930 A.1 inch represents 50 miles B.1 inch represents 25 miles C.1 inch represents 30 miles D.1 inch represents 40 miles

44. The following is a graph of a function of x. Which set best represents the domain of the function? 1234567891011121314151617181920 21222324252627282930 A.{−7,−5,−2,0,3,5,8} B.{0, 2, 3, 5, 6, 8, 9} C.{−7,−5,−2,0,2,3,5,6,8,9} D.{0, 3, 5, 8}

45. Which ordered pair makes the equation false ? 1234567891011121314151617181920 21222324252627282930 A.(−1,0) B.(0,2) C.(2,3) D.(1,4)

46. Which graph most likely contains all the ordered pairs in the table? 1234567891011121314151617181920 21222324252627282930 A.B. C.D.

47. What value for n makes the following sentence true? 5n=8+3n 1234567891011121314151617181920 21222324252627282930 A. n = 4 B. n = 2 C. n = 8/3 D. n = 8/5

48. Which of the following graphs contains all the ordered pairs in the table? 1234567891011121314151617181920 21222324252627282930 A.B.C.D.

49. In which table do all of the ordered pairs make the equation true? y = 2x + 4 1234567891011121314151617181920 21222324252627282930 A. B. C. D.

50. Mrs. Garcia used 5 cups of flour to make 3 loaves of bread. How many loaves of bread can she make with 30 cups of flour? 1234567891011121314151617181920 21222324252627282930 A.10 B.18 C.28 D.50

51. Which ordered pair makes the equation true? 2x=18−y 1234567891011121314151617181920 21222324252627282930 A.(0,9) B.(1,4) C.(4,1) D.(9,0)

52. What value for w makes the equation true? 4w−8=16 1234567891011121314151617181920 21222324252627282930 A.-6 B.-2 C.2 D.6

53. Fran drove m miles in a car she rented. To find R, the total cost of renting the car, she used the following formula. R=0.50m+35 What is the dependent variable in the formula? 1234567891011121314151617181920 21222324252627282930 A. R B. 0.50 C. m D. 35