Patterns, Functions and Algebra

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) • y = 2x – 2 • y = 2x + 2 • y = 4x • y =x +3

4. What value of y makes y +(4 - 2y) = 2 true? (SOL 8.15) • 0 • 2 • 3 • 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) • 5 • 8 • 10 • 12

6. A. B. C. D. Which graph shows a line thatcontains the points in the table of ordered pairs?(SOL 8.16) • A • B • C • D

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) • 61.875 • 423.3 • 440 • 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) • 14.5 lbs • 24.65 lbs • 29.58 lbs • 1, 023.53 lbs

9. 2004 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 • 0.21x + 38 = 88.4 • 0.21x = 88.4 • 38x = 0.21(88.4) • 38x + 0.21 = 88.4

10. 2004 What value for t makes this equation true? 8.15 • 17 • 31 • 89 • 103

11. 2004 Which number replaces the ‘‘?’’ in the table? 8.14b • 1/81 • 1/9 • -1 • -9

12. 2004 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 1·2·3·4If Ron continues to write terms this way, what will be the sixth term in the sequence? 8.17 • 216 • 480 • 600 • 720

13. 2004 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 • 3 • 74 • 135 • 140

14. 2004 What is the solution to½x + 3 = 7? 8.15 • 2 • 4 • 5 • 8

15. 2004 Don is solving the sentence below for x.5x – 8 = 0Which of the following is equivalentto this sentence? 8.15 • x – 8 = 1/5 • x – 8 = -5 • 5x = 8 • 5x = -8

16. 2004 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 6th generation before hers? 8.17 • 12 • 16 • 32 • 64

17. 2004 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 • 8 • 27 • 40 • 50

18. 2004 Part of the statement below is circled. Which best describes the circled part ofthe statement? 8.18 • Coefficient • Variable • Term • Expression

19. A. B. C. D. 2004 Which graph corresponds toy = 2x - 2? 8.16 • A • B • C • D

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

21. 2004 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 • C = 0.80(h - 1) + 2 • C = 2(h - 1) + 0.80 • C = 2.80(h - 1) • C = 3.60(h - 1)

22. 2004 Which is the function described by thetable of ordered pairs? 8.14a • y = x + 1 • y = 3x • y = 2x + 3 • y = x + 13

23. 2004 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 • $6.40 • $6.80 • $8.00 • $8.40

24. 2004 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 • 2 • 4 • 8 • 22

25. 2007 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 • {1,2,5,6} • {3,4,7,8} • {1,2,3,4} • {5,6,7,8}

26. 2007 Given the function of x defined byy = 3x + 5,if the domain is {−4,−1,2,5}, what is the range?8.14a • {−20,−11,−2,7} • {−7,−3,−2,−1} • {−3,−2,−1,0} • {−7,2,11,20}

27. 2007 Which statement generalizes the pattern shown in the table below? 8.17 • Choice One • Choice Two • Choice Three • Choice Four

28. 2007 What is the solution to 8.15 • 4 • 6 • 96 • 144

29. 2007 The formula shows that c, the total cost of buying pizzas at Al’s Restaurant, depends on p, the number of pizzas ordered.c = 9pWhat is the independent variable in the formula? 8.18 • p • c • 9 • =

30. 2007 What is the solution to the proportion below? 8.17 • 275 • 27.5 • 9.09 • 9

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

32. 2007 Which is the closest to the circumference of a circle with a diameter of 17 inches? 8.17 • 27 in. • 53 in. • 227 in. • 907 in.

33. 2007 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 • 38,151 • 19,076 • 15,890 • 141

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

35. 2007 What value of x makes the following statement true? 8.1519 = 5x + 4 • 23 • 15 • 4 • 3

36. 2007 Which is one of the solutions to the following? 8.152x + 4 < 12 • 6 • 5 • 4 • 3

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

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