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Semester Exam Review Algebra AB 1. Find the perimeter and area of the following figures. 10m 4m 8m 10m 3 in 8m 6m 2. Find the circumference and area of the following circles. 6 cm 10 m 0-13 (z30) Add or subtract the following fractions by hand. Show your common denominator. 6. 1 5 9 18 7. 1 1 2 7 8. 3 4 4 5 0-14 (pg z32) Multiply or divide the following fractions. 9. 1 2 5 3 10. 2 1 3 4 11. 3 1 4 5 1-4 (pg 26) Simplify each expression 12. 3 2 1 13. 2 3 14. 2 4 1-5 (pg 34) Define the following terms. 15. Natural Numbers – 16. Whole Numbers – 17. Integers – 18. Rational Numbers – 19. Irrational Numbers – 1-6 (pg 40) 20. 45 (3 42 ) 21. 32 3 4 2 22. 12 (4)(3) 1-7 (pg 49) Simplify by combining like terms. 23. 2x 3x 5 24. 3 y 4 x 2 y 8 x 1-8 (pg 54) Graph each point. y 25. A(-2,3) y 26. B(1,4) xx 27. C(2, -4) 28. D(4,0) 29. E(0-5) 2-1, 2-2 (pg 77, pg84) 30. x 10 17 31. x 5 3 2-3, 2-4 (pg 92, 100) 32. 2x 16 33. x 2 3 34. 2x 3x 10 20 35. 3( x 1) 15 36. 2x 5 4x 13 37. 2( y 6) 3 y 2-5 (pg 107) Solve the following equations for the indicated variable. 38. d rt for r 39. a l w for l 40. p l 2w for w 2-7 (pg 121) 41. Given that rectangle ABCD is similar to rectangle LMNO, find the length of MN A 18m mm B L 9m M 6m D C O N 2-8 (pg 127) 42. 25% of 50 is what number? 43. 3 is what percent of 15? 44. 12 is 10% of what number? 45. A sales representative earns a 2.5% commission on sales. Find the commission earned when the total sales are $80,700. Ch 3 (pg 168) Solve and graph the following inequalities. 46. 2x 6 12 47. 3x 15 48. 2x 1 2x 3 49. 3( x 1) 18 3-6 (pg 202) 50. x 3 2 or 2x 8 51. 4 2x 4 8 4-1 (pg 230) 52. Choose a graph that best represents each situation. A person alternates between running and walking. A person gradually speeds up to a constant running pace. A person walks, gradually speeds up to a run, and then slows back down to a walk. A B C 4-2 (pg 236) Define the following words: 53. Relation- 54. Domain – 55. Range – 56. Function – For the following relation draw a table, graph and mapping diagram. 57. (1, 2)(1, 2)(2, 4) State the domain and range of each relation. Then decide if the relation is a function. 58. 60. X Y 2 -1 3 -1 4 2 5 2 yy xx 61. Draw a graph of something that is NOT a function. y y xx 62. Given f(x) = x + 4, find f(2). 63. Given f(x) = 3x +1, find f(0) 63. Identify the dependent and independent variables. Write a function to describe each. Hint: (y= ???????????) a) A theater rents for $100 per hour plus a $200 set up fee. D: I: Function: y= Follow up: How much money would Aramis spend to put on a 4-hour stage production of his “Perry the Platypus” tribute? 64. Graph the function for the given domain. f(x) = x2 + 2 D: {-4, -2, 0, 2, 4} x y 65. Label each of the following situation as having positive, negative or no correlation. a.) The amount of rainfall and the size of the puddle. c.) The number of presents you buy and the amount of money in your wallet. 66. Use the table below to answer the following questions. Number of tickets sold and the amount of concession stand sales. Tickets sold 200 300 500 600 1000 300 500 600 700 900 (x) Concession sales (y) a.) Plot the information from the table on the graph below. b.) Is there positive, negative or no correlation between the data sets? c.) Draw a trend line and predict the concession stand sales for 2,000 tickets sold. 67. Determine if the following sequences are arithmetic. If so, find the common difference. a.) 3, 10, 17, 24, 31,.. b.) 1, 1, 2, 2, 3, 3,... c.) 2.1, 1.4, 0.7, 0,... 68. Given 4, 8, 12, 16, … find the 49th term. 69. Given a1 = -5 and d = -2, find the 25th term in the sequence.