Algebra EOC Item Specifications: Functions and Graphing Concepts

1. #1 – Pick up and TURN ON your controller #2 – put 5 mini-bats and all makeup work in bin. #3 – take out a piece of paper to begin your warmup: Warm-up With your partner, review all of the questions that you missed on the EOC practice test. If you were absent, work on the problems that your partner missed. If you finish early, work on the problems you did not complete.

3. Algebra EOC Item Specifications

4. The Algebra EOC is Computer-Based

5. MA.912.A.2.3 Subject Area Mathematics Benchmark Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions Grade Levels Grades 9-12 Body of Knowledge Algebra Standard Draw and interpret graphs of relations. Understand the notation and concept of a function, find domains and ranges, and link equations to functions.

6. Duration of Tests

7. Length of Tests

8. Percentage of Points by Cognitive Complexity Level

10. The Fill-in Response 7 2 7 2 These are OK… 7 2

11. The Fill-in Response If the solution is ⅝, the response should be… 5 / 8 If the solution is 3⅝, the response should be… 2 9 / 8 WHY? Because mixed numbers must be converted to improper fractions.

12. MA.912.A.2.3

13. Fill-in Response (FR) 9 6 . 5

14. MA.912.A.2.4

15. Fill-in Response (FR) 9 MA.912.A.2.4

16. MA.912.A.3.1

17. 7 5 MA.912.A.3.1

18. MA.912.A.3.3

19. MA.912.A.3.5

20. 8 6 0 0 MA.912.A.3.5

21. MA.912.A.3.8 A. C. B. D.

22. An architect designed an outdoor staircase for a house. The relationship between the height of the steps and the length of the tread is modeled by the equation 57x – 95y = 0. Which of the following represents the slope of the equation? MA.912.A.3.9

23. 1 / 4 MA.912.A.3.9

24. MA.912.A.3.10

25. On the coordinate grid below, line l Is perpendicular to AB. What is the slope of line l? 2

26. David is training for a marathon. He writes down the time and distance for each training run and then records the data on a scatter plot. He has drawn a line of best fit on the scatter plot, as shown below. MA.912.A.3.11 • Which statement best expresses the meaning of the slope as a rate of change for this line of best fit? • It represents the number of miles he will have to run to finish the marathon. • It represents the average speed, in miles per hour, of his training runs. • It represents the number of hours he will need to finish the marathon. • It represents the distances, in miles, that he ran while he was training.

27. David is training for a marathon. He writes down the time and distance for each training run and then records the data on a scatter plot. He has drawn a line of best fit on the scatter plot, as shown below. MA.912.A.3.11 • Which statement best expresses the meaning of the slope as a rate of change for this line of best fit? • It represents the number of miles he will have to run to finish the marathon. • It represents the average speed, in miles per hour, of his training runs. • It represents the number of hours he will need to finish the marathon. • It represents the distances, in miles, that he ran while he was training.

28. MA.912.A.3.11 5 . 5

29. Russ bought 3 medium and 2 large submarine sandwiches for a total of $29.95. Stacy bought 4 medium and 1 large submarine sandwiches for a total of $28.45. Which statement shows the cost of each medium and each large submarine sandwich? • Each medium sandwich costs $5.69 and each large sandwich costs $6.89 • Each medium sandwich costs $5.69 and each large sandwich costs $6.39 • Each medium sandwich costs $5.39 and each large sandwich costs $6.89 • Each medium sandwich costs $5.39 and each large sandwich costs $6.39 MA.912.A.3.14

30. Russ bought 3 medium and 2 large submarine sandwiches for a total of $29.95. Stacy bought 4 medium and 1 large submarine sandwiches for a total of $28.45. Which statement shows the cost of each medium and each large submarine sandwich? • Each medium sandwich costs $5.69 and each large sandwich costs $6.89 • Each medium sandwich costs $5.69 and each large sandwich costs $6.39 • Each medium sandwich costs $5.39 and each large sandwich costs $6.89 • Each medium sandwich costs $5.39 and each large sandwich costs $6.39 MA.912.A.3.14

31. 9 MA.912.A.3.14

33. MA.912.A.4.1

34. Mina simplified the expression shown below. (a3b-6)(a2b2) Her final answer was in the form ambn. If she simplified the expression correctly, what is the value of n, the exponent on b? - 4 MA.912.A.4.1

35. MA.912.A.4.2

36. MA.912.A.4.3 1 6

37. MA.912.A.4.3

38. If x ≠ 3, which of the following shows the expression below in simplest form? 3x2 – 27 x – 3 • 3(x + 3) • 3(x – 3) • 3(x + 9) • 3(x – 9) MA.912.A.4.3

39. Charlie needs to simplify the expression below before he substitutes values for x and y. x18y12 + x9y8 x3y4 If x ≠ 0 and y ≠ 0, which of the following is a simplified version of the expression above? • A. x9y5 • B. x24y16 • x6y3 + x3y2 • x15y8 + x6y4 MA.912.A.4.4

40. MA.912.A.5.4

41. What is the solution of the equation below? 2 3 = x - 14 4x - 4 2 / 5 or - 8 . 4 MA.912.A.5.4

42. MA.912.A.6.2

43. MA.912.A.7.1

44. MA.912.A.7.2

45. A ball is kicked from ground level into the air. Its height y, in feet, after x seconds can be represented by the equation y = 40x – 16x2. What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again? 2 . 5 MA.912.A.7.2

46. MA.912.D.7.1 MA.912.D.7.1

49. 1 1 MA.912.D.7.1 MA.912.D.7.1

50. MA.912.D.7.2