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Algebra Semester Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. The total cost to rent a row boat is $18 times the number of hours the boat is used. Write an equation to model this situation if c = total cost and h = number of hours. a. c = 18h b. c – 18 = h c. h = 18c d. ____ 2. What equation models the data in the table if d = number of days and c = cost? Days 2 3 5 6 a. d = 22c Cost 44 66 110 132 b. c = 22d c. c = d + 22d d. c = d + 22 ____ 3. An equilateral triangle has three sides of equal length. What is the equation for the perimeter of an equilateral triangle if P = perimeter and s = length of a side? a. s = 3P b. P = 3s c. P = 3 + s d. P = 3(s + s + s) ____ 4. A rational number is ____ a real number. a. always b. sometimes ____ 5. Write the number 2.4 in the form a. b. c. never , using integers, to show that it is a rational number. c. d. ____ 6. Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above ____ 7. Name the set(s) of numbers to which –5 belongs. a. whole numbers, natural numbers, integers b. rational numbers c. whole numbers, integers, rational numbers d. integers, rational numbers ____ 8. Which set of numbers is the most reasonable to describe the number of desks in a classroom? a. whole numbers c. rational numbers b. irrational numbers d. integers ____ 9. a. 2.8 b. –2.8 ____ 10. Which of the scatter plots shows a positive correlation? a. c. y y 6 6 5 5 4 4 3 3 2 2 1 1 1 b. 2 3 4 5 6 x d. y 6 5 5 4 4 3 3 2 2 1 1 2 3 4 5 6 x 2 3 4 5 6 x 1 2 3 4 5 6 x y 6 1 1 ____ 11. Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year. a. Find the mean, median, and mode of this data. b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year. a. mean = 12,700; median = 13,156; no mode; the mean is the best choice because it is representative of the entire data set. b. mean = 13,156; median = 12,700; mode = 3,628; the median is the best choice because it is not skewed by the high outlier. c. mean = 13,156; median = 12,700; no mode; the mean is the best choice because it is representative of the entire data set. d. mean = 13,156; median = 12,700; no mode; the median is the best choice because it is not skewed by the high outlier. ____ 12. Angela’s average for six math tests is 87. On her first four tests she had scores of 93, 87, 82, and 86. On her last test, she scored 4 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests? a. fifth test = 85; sixth test = 89 c. fifth test = 90; sixth test = 86 b. fifth test = 85; sixth test = 81 d. fifth test = 89; sixth test = 85 ____ 13. Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to determine your grade for the term. On six tests you earn scores of 89, 81, 85, 82, 89, and 89. What is your grade to the nearest whole number, and which measure of central tendency should you choose? a. 87; the median b. 89; the mean c. 91; the mode d. 89; the mode ____ 14. Make a stem-and-leaf plot for the following set of data. 1.1, 1.3, 1.8, 2.2, 2.6, 2.8, 3.1, 3.8 a. c. Stem Leaf 1 1 3 1 0.1 0.3 0.8 2 2 6 8 2 0.2 0.6 0.8 3 1 8 3 0.1 0.8 1 1 means 1.1 b. Stem Leaf Stem Leaf 1 0.1 means 1.01 d. Stem Leaf 1 1 3 8 1 8 3 1 2 2 6 8 2 8 6 2 3 1 8 3 8 1 1 1 means 1.1 1 8 means 1.8 Write a function rule for each table. ____ 15. Hours Worked 2 4 6 8 Pay $15.00 $30.00 $45.00 $60.00 a. p = 7.50h b. p = 15h c. p = h + 15 d. h = 7.50p ____ 16. Days 1 2 3 4 a. c = 22d + 12 Cost to Rent a Truck 34 56 78 100 c. c = 22d + 22 b. c = 12d + 22 d. c = 22d ____ 17. The cost of playing pool increases with the amount of time using the table. Identify the independent and dependent quantity in the situation. a. time using table; cost b. cost; time using table c. number of games; cost d. cost; number of players ____ 18. The French club is holding a car wash fundraiser. They are going to charge $10 per car, and expect between 50 and 75 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values. a. number of cars; money raised; 50 to 75 cars; $500 to $750 b. money raised; number of cars; $500 to $750; 50 to 75 cars ____ 19. Evaluate a. 4 for x = –2 and y = 3. b. 8 c. number of cars; money raised; $500 to $750; 50 to 75 cars d. money raised; number of cars; 50 to 75 cars; $500 to $750 c. –4 d. –8 ____ 20. The product of two negative numbers is ____ positive. a. always b. sometimes c. never ____ 21. For every real number x, y, and z, the statement a. always b. sometimes is ____ true. c. never ____ 22. You roll a standard number cube. Find P(number greater than 1) a. 6 b. 5 c. 1 5 6 6 d. 1 Refer to the spinner below. ____ 23. Find P(even and not shaded). a. b. c. 0 d. ____ 24. You have the numbers 1–24 written on slips of paper. If you choose one slip at random, what is the probability that you will not select a number which is divisible by 3? a. b. c. d. ____ 25. In a batch of 960 calculators, 8 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary. a. 74.4% b. 0.8% c. 99.2% d. 1.1% ____ 26. You toss a coin and roll a number cube. Find P(heads and an even number). a. b. c. d. 1 ____ 27. Suppose you choose a marble from a bag containing 2 red marbles, 5 white marbles, and 3 blue marbles. You return the first marble to the bag and then choose again. Find P(red and blue). a. 3 b. 7 c. 1 d. 3 5 10 2 50 Solve the equation. ____ 28. ____ 29. a. –80 b. 16 c. –16 d. 1.8 3 x+5=8 7 a. 7 b. c. 7 d. 1 2 7 7 2 3 ____ 30. 11 = –d + 15 a. 11 b. –4 c. 4 d. 6 ____ 31. 37 – 18 + 8w = 67 a. –6 b. 4 c. 7 d. 6 ____ 32. 3(y + 6) = 30 a. 5 b. 16 c. 4 d. –16 a. –8 b. 2 c. –10 d. –4 a. 3 b. 0 c. –9 d. –10 b. 1 c. –1 d. –3 ____ 33. ____ 34. ____ 35. 5x – 5 = 3x – 9 a. –2 ____ 36. Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike? a. 25 weeks b. 19 weeks c. 22 weeks d. 21 weeks ____ 37. Find the measure of x° 68° 26° . (Hint: The sum of the measures of the angles in a triangle is .) a. b. c. d. 8 ____ 38. The perimeter of the rectangle is 24 cm. Find the value of x. 3 cm 3x cm a. 3 b. 12 c. d. 18 8 3 ____ 39. a. Find the value of a. b. Find the value of the marked angles. (4a + 12)° (3a + 32)° not drawn to scale a. 22; 100º b. 19; 88º c. 20; 92º d. 24; 108º ____ 40. Write the conversion factor for seconds to minutes. Use the factor to convert 135 seconds to minutes. a. c. ; 2 min ; 3.5 min b. ; 1.5 min d. ; 2.25 min ____ 41. A car is driving at a speed of 60 mi/h. What is the speed of the car in feet per minute? a. 5,280 ft/min c. 316,800 ft/min b. 3,600 ft/min d. 2,580 ft/min ____ 42. $7.80/hour = ____ cents/minute? a. 13 b. 8.8 c. 780 d. 4.7 c. 110 d. 1.8 Solve the proportion. ____ 43. a. 55 b. 2.2 ____ 44. A van travels 220 miles on 10 gallons of gas. Find how many gallons the van needs to travel 550 miles. a. 31 gallons of gas c. 115 gallons of gas b. 121 gallons of gas d. 25 gallons of gas ____ 45. A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft. long. The triangle shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft. tall, how tall is the tree? Drawing not to scale a. 18 ft b. 12.5 ft c. 15 ft d. 20 ft ____ 46. The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers. a. ; ; b. ; ; c. ; ; d. ; ; ____ 47. Simplify a. 144 7 . b. 12 49 ____ 48. Is rational or irrational? a. rational c. 49 12 d. 12 7 b. irrational Find the length of the missing side. If necessary, round to the nearest tenth. ____ 49. c 5 14 a. 361 b. 19 c. 38 d. 14.9 Which number is a solution of the inequality? ____ 50. b > 11.3 a. 15 b. 9 c. –14 d. 4 b. 5 c. d. 6 ____ 51. a. 9 11 6 11 Graph the inequality. ____ 52. d < 2 a. c. –5 –4 –3 –2 –1 0 1 2 3 4 5 b. –5 –4 –3 –2 –1 0 1 2 3 4 5 –5 –4 –3 –2 –1 0 1 2 3 4 5 d. –5 –4 –3 –2 –1 0 1 2 3 4 5 –10 –8 –6 –4 –2 0 2 4 6 8 10 –10 –8 –6 –4 –2 0 2 4 6 8 10 –10 –8 –6 –4 –2 0 2 4 6 8 10 –10 –8 –6 –4 –2 0 2 4 6 8 10 ____ 53. a. b. c. d. Solve the inequality. Then graph your solution. ____ 54. a. h 21 –140 –120 –100 –80 c. –60 –40 –20 0 20 h 7 1 3 0 b. h ³ 2 5 10 –140 –120 –100 –80 –10 –5 –60 –40 –20 0 20 0 ____ 55. –2w < –18 a. w > 9 c. w < 9 –6 –4 –2 0 2 4 6 –12 –8 8 b. w < –16 –16 20 d. h 21 1 3 –15 –8 15 –6 –4 –2 0 2 4 6 8 d. w > –16 –8 –4 0 4 8 12 16 –16 –12 –8 –4 0 4 8 12 16 –8 –6 –4 –2 0 2 4 6 8 –6 –4 –2 ____ 56. a. c. –8 –6 –4 –2 0 2 4 6 8 b. d. –8 –8 –6 –4 –2 0 2 4 6 0 2 4 6 8 8 ____ 57. a. –36 < x < 14 –40 –30 –20 c. –17 > x > 8 –10 0 10 20 30 b. –17 < x < 8 –20 –15 –10 –20 40 –15 –10 –5 0 5 10 15 20 –4 –2 0 2 4 6 8 d. –8 < x < 8 –5 0 5 10 15 20 –8 –6 The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation. ____ 58. Time (days) a. b. Cost ($) 3 75 4 100 5 125 6 150 dollars per day; the cost is $25 for each day. dollars per day; the cost is $25 for each day. c. dollars per day; the cost is $75 for each day. d. dollars per day; the costs $1 for 150 days The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change means for the situation. ____ 59. Resale Value of a Refrigerator 600 Amounts ($) 500 400 300 200 100 3 6 9 12 15 18 Years after original purchase a. –100; value drops $100 every year. b. ; value drops $100 every 3 years. c. –3; value drops $3 every year. d. –1; value drops $1 every year. Find the slope of the line. ____ 60. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 a. 1 4 b. 1 4 c. 4 Find the slope of the line that passes through the pair of points. d. 4 ____ 61. (1, 7), (10, 1) a. 3 2 b. c. 2 3 3 2 d. 2 3 d. 4 ; –3 3 State whether the slope is 0 or undefined. y ____ 62. 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 a. 0 b. undefined Find the slope and y-intercept of the line. ____ 63. 4 x–3 3 a. 4 3; 3 y= ____ 64. 14x + 4y = 24 a. 2 ;6 7 b. 7 ;6 2 b. –3; 4 3 c. 3 ;3 4 c. 7 1 ; 2 6 d. 14; 24 Write an equation of a line with the given slope and y-intercept. ____ 65. m = 1, b = 4 a. y = 4x + 1 b. y = x – 4 c. y = –1x + 4 d. y = x + 4 Write the slope-intercept form of the equation for the line. ____ 66. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 x 5 –2 –3 –4 –5 a. y = 3x 1 c. 1 x 1 3 d. 1 y= x 1 3 b. y = 3x 1 y= Graph the equation. ____ 67. y + 2 = –(x – 4) a. –10 –8 –6 y –4 10 5 8 4 6 3 4 2 2 1 –2 –2 2 4 6 8 10 x –4 –4 –3 –2 –1 –1 –2 –6 –3 –8 –4 –10 –5 y –6 –5 –4 b. –10 –8 y c. 5 8 4 6 3 4 2 2 1 2 4 6 8 10 x 2 3 4 5 x 1 2 3 4 5 x y d. 10 –2 –2 1 –5 –4 –3 –2 –1 –1 –4 –2 –6 –3 –8 –4 –10 –5 ____ 68. Identify the mapping diagram that represents the relation and determine whether the relation is a function. a. c. The relation is a function. The relation is not a function. b. d. The relation is not a function. The relation is a function. ____ 69. Evaluate a. –11 for x = 3. b. 1 c. –6 d. 11 Graph the function. ____ 70. a. c. y –4 y 4 4 2 2 –2 2 4 x –4 –2 2 –2 –2 –4 –4 4 x b. d. y –4 y 4 4 2 2 –2 2 4 –4 x –2 –2 –2 –4 –4 2 4 x 2 4 x 2 4 x ____ 71. a. c. y –4 4 4 2 2 –2 2 4 –4 –4 d. f(x) –8 y 4 4 2 2 –2 2 4 x –4 –2 –2 –2 –4 –4 Write a function rule for the table. x 2 –2 –2 y ____ 72. –4 x –2 b. –4 y 3 4 5 –12 –16 –20 a. b. c. d. Find the constant of variation k for the direct variation. ____ 73. x –1 0 2 5 f(x) 2 0 –4 –10 a. k = –1.5 b. k = 2 c. k = –0.5 d. k = –2 ____ 74. The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.89 per gallon. Write a direct variation to model the total cost c for g gallons of gas. a. b. c. d. ____ 75. The amount of a person’s paycheck p varies directly with the number of hours worked t. For 16 hours of work, the paycheck is $124.00. Write an equation for the relationship between hours of work and pay. a. b. c. d. ____ 76. Suppose that y varies inversely with x. Write an equation for the inverse variation. y = 6 when x = 8 a. b. y = 2x c. d. y= y= x= The pair of points is on the graph of an inverse variation. Find the missing value. ____ 77. (2.4, 3) and (5, y) a. 1.44 b. 1 c. 6.25 d. 0.69 ____ 78. The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 30 miles per hour, how long will it take to drive the same distance at 50 miles per hour? a. 60 hours c. 750 hours b. 1.2 hours d. about 3.33 hours Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. ____ 79. –5, –10, –20, –40, . . . a. multiply the previous term by 2; –80, –160 b. add –5 to the previous term; –35, –30 c. subtract 5 from the previous term; –80, –160 d. multiply the previous term by –2; 80, –160 Determine whether the function rule models discrete or continuous data. ____ 80. A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the number purchased d. a. discrete b. continuous ____ 81. A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of the peanuts to the number of pounds purchased p. a. discrete b. continuous Short Answer 82. The population of an endangered animal species has been increasing. Make a scatter plot using the data given in the table. Year 1 2 3 4 5 6 Population 230 670 620 840 1400 1580 Pop. 2000 1800 1600 1400 1200 1000 800 600 400 200 1 2 3 4 5 6 Year 83. Bob and Nancy recorded their last ten rounds of golf scores in the stem-and-leaf plot below. Use measures of central tendency to justify your answers. a. Who is the better golfer? (A player with a lower score beats a player with a higher score.) b. Is one golfer more consistent than the other? Explain. Nancy Stem 9 8 7 7 8 6 5 5 2 8 1 0 9 Bob 5 9 3 3 3 8 9 0 3 7 7 5 = 75 84. Label each section of the graph. 85. Find the range of for the domain {–3, –2, –1, 1}. Other 86. Is the statement below true or false? If the statement is false, give a counterexample. All real numbers are rational. Algebra Semester Exam Review Answer Section MULTIPLE CHOICE 1. ANS: OBJ: NAT: STA: KEY: 2. ANS: OBJ: NAT: STA: KEY: 3. ANS: OBJ: NAT: STA: KEY: 4. ANS: OBJ: NAT: STA: 5. ANS: OBJ: NAT: STA: 6. ANS: OBJ: NAT: STA: KEY: 7. ANS: OBJ: NAT: STA: KEY: 8. ANS: OBJ: NAT: STA: KEY: 9. ANS: OBJ: NAT: STA: KEY: A PTS: 1 DIF: L2 REF: 1-1 Using Variables 1-1.2 Modeling Relationships With Equations NAEP 2005 A3a | NAEP 2005 A3c | NAEP 2005 A4a | ADP J.5.1 OH 9D6 TOP: 1-1 Example 3 algebraic expression | open sentence | modeling relationships | word problem | problem solving B PTS: 1 DIF: L2 REF: 1-1 Using Variables 1-1.2 Modeling Relationships With Equations NAEP 2005 A3a | NAEP 2005 A3c | NAEP 2005 A4a | ADP J.5.1 OH 9D6 TOP: 1-1 Example 4 algebraic expression | open sentence | modeling relationships B PTS: 1 DIF: L3 REF: 1-1 Using Variables 1-1.2 Modeling Relationships With Equations NAEP 2005 A3a | NAEP 2005 A3c | NAEP 2005 A4a | ADP J.5.1 OH 9D6 TOP: 1-1 Example 3 algebraic expression | open sentence | word problem | problem solving A PTS: 1 DIF: L3 REF: 1-3 Exploring Real Numbers 1-3.1 Classifying Numbers NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3 OH 9N1 | OH 9N2 KEY: rational numbers | real numbers | reasoning C PTS: 1 DIF: L3 REF: 1-3 Exploring Real Numbers 1-3.1 Classifying Numbers NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3 OH 9N1 | OH 9N2 KEY: rational numbers | word problem | reasoning A PTS: 1 DIF: L2 REF: 1-3 Exploring Real Numbers 1-3.1 Classifying Numbers NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3 OH 9N1 | OH 9N2 TOP: 1-3 Example 1 natural numbers | whole numbers | integers | rational numbers | irrational numbers D PTS: 1 DIF: L2 REF: 1-3 Exploring Real Numbers 1-3.1 Classifying Numbers NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3 OH 9N1 | OH 9N2 TOP: 1-3 Example 1 integers | rational numbers A PTS: 1 DIF: L2 REF: 1-3 Exploring Real Numbers 1-3.1 Classifying Numbers NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3 OH 9N1 | OH 9N2 TOP: 1-3 Example 2 whole numbers A PTS: 1 DIF: L2 REF: 1-3 Exploring Real Numbers 1-3.2 Comparing Numbers NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3 OH 9N1 | OH 9N2 TOP: 1-3 Example 5 absolute value 10. ANS: A PTS: 1 DIF: L2 REF: 1-5 Scatter Plots OBJ: 1-5.1 Analyzing Data Using Scatter Plots NAT: NAEP 2005 D1a | NAEP 2005 D1b | NAEP 2005 D2h | NAEP 2005 A2c | ADP L.1.1 | ADP L.1.2 | ADP L.1.5 | ADP L.2.3 STA: OH 9D2 | OH 9D6 | OH 10D2 TOP: 1-5 Example 2 KEY: correlation | trend line | scatter plot | ordered pair 11. ANS: D PTS: 1 DIF: L3 REF: 1-6 Mean, Median, and Range OBJ: 1-6.1 Finding Mean, Median, and Mode NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 | ADP L.1.3 | ADP L.1.4 STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5 TOP: 1-6 Example 1 KEY: mean-median-mode | multi-part question | measures of central tendency | problem solving | word problem | outlier 12. ANS: D PTS: 1 DIF: L3 REF: 1-6 Mean, Median, and Range OBJ: 1-6.1 Finding Mean, Median, and Mode NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 | ADP L.1.3 | ADP L.1.4 STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5 TOP: 1-6 Example 2 KEY: mean-median-mode | measures of central tendency | problem solving | word problem | outlier 13. ANS: D PTS: 1 DIF: L4 REF: 1-6 Mean, Median, and Range OBJ: 1-6.1 Finding Mean, Median, and Mode NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 | ADP L.1.3 | ADP L.1.4 STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5 KEY: mean-median-mode | measures of central tendency | problem solving | word problem | outlier 14. ANS: B PTS: 1 DIF: L2 REF: 1-6 Mean, Median, and Range OBJ: 1-6.2 Stem-and-Leaf Plots NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 | ADP L.1.3 | ADP L.1.4 STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5 TOP: 1-6 Example 4 KEY: measures of central tendency | stem-and-leaf plot | decimals 15. ANS: A PTS: 1 DIF: L2 REF: 1-4 Function Patterns OBJ: 1-4.1 Writing a Function Rule STA: OH 9P1 | OH 9P2 TOP: 1-4 Example 1 16. ANS: A PTS: 1 DIF: L2 REF: 1-4 Function Patterns OBJ: 1-4.1 Writing a Function Rule STA: OH 9P1 | OH 9P2 TOP: 1-4 Example 2 17. ANS: A PTS: 1 DIF: L2 REF: 1-4 Function Patterns OBJ: 1-4.2 Relationships in a Function STA: OH 9P1 | OH 9P2 TOP: 1-4 Example 3 18. ANS: A PTS: 1 DIF: L2 REF: 1-4 Function Patterns OBJ: 1-4.2 Relationships in a Function STA: OH 9P1 | OH 9P2 TOP: 1-4 Example 3 19. ANS: A PTS: 1 DIF: L3 REF: 2-2 Subtracting Rational Numbers OBJ: 2-2.2 Applying Subtraction NAT: NAEP 2005 N5e | NAEP 2005 A4a | NAEP 2005 A4c | ADP I.1.1 | ADP I.2.1 | ADP J.1.6 STA: OH 9N4 KEY: absolute value | real numbers 20. ANS: A PTS: 1 DIF: L3 21. 22. 23. 24. 25. 26. 27. 28. 29. REF: 2-3 Multiplying and Dividing Rational Numbers OBJ: 2-3.1 Multiplying Rational Numbers NAT: ADP I.1.1 | ADP I.1.3 | ADP J.1.6 STA: OH 9N3 | OH 9N4 KEY: real numbers | reasoning ANS: A PTS: 1 DIF: L3 REF: 2-4 The Distributive Property OBJ: 2-4.1 Using the Distributive Property NAT: NAEP 2005 N3a STA: OH 9N4 | OH 9P11 KEY: Distributive Property | real numbers | reasoning ANS: B PTS: 1 DIF: L2 REF: 2-6 Probability: Theoretical and Experimental Probability OBJ: 2-6.1 Theoretical Probability NAT: NAEP 2005 N5f | NAEP 2005 G5a | ADP L.4.1 | ADP L.4.2 | ADP L.4.5 STA: OH 9D8 | OH 9D10 | OH 10D8 TOP: 2-6 Example 1 KEY: theoretical probability | ratio ANS: A PTS: 1 DIF: L2 REF: 2-6 Probability: Theoretical and Experimental Probability OBJ: 2-6.1 Theoretical Probability NAT: NAEP 2005 N5f | NAEP 2005 G5a | ADP L.4.1 | ADP L.4.2 | ADP L.4.5 STA: OH 9D8 | OH 9D10 | OH 10D8 TOP: 2-6 Example 1 KEY: theoretical probability | ratio ANS: D PTS: 1 DIF: L3 REF: 2-6 Probability: Theoretical and Experimental Probability OBJ: 2-6.1 Theoretical Probability NAT: NAEP 2005 N5f | NAEP 2005 G5a | ADP L.4.1 | ADP L.4.2 | ADP L.4.5 STA: OH 9D8 | OH 9D10 | OH 10D8 TOP: 2-6 Example 2 KEY: theoretical probability | complement of an event ANS: B PTS: 1 DIF: L2 REF: 2-6 Probability: Theoretical and Experimental Probability OBJ: 2-6.2 Experimental Probability NAT: NAEP 2005 N5f | NAEP 2005 G5a | ADP L.4.1 | ADP L.4.2 | ADP L.4.5 STA: OH 9D8 | OH 9D10 | OH 10D8 TOP: 2-6 Example 4 KEY: experimental probability | quality control | problem solving | word problem ANS: B PTS: 1 DIF: L2 REF: 2-7 Probability: Probability of Compound Events OBJ: 2-7.1 Finding the Probability of Independent Events NAT: ADP L.4.4 | ADP L.4.5 STA: OH 9D9 | OH 9D10 TOP: 2-7 Example 1 KEY: theoretical probability | independent events | compound events ANS: D PTS: 1 DIF: L2 REF: 2-7 Probability: Probability of Compound Events OBJ: 2-7.1 Finding the Probability of Independent Events NAT: ADP L.4.4 | ADP L.4.5 STA: OH 9D9 | OH 9D10 TOP: 2-7 Example 2 KEY: compound events | independent events | theoretical probability | word problem | problem solving ANS: A PTS: 1 DIF: L2 REF: 3-1 Solving Two-Step Equations OBJ: 3-1.1 Solving Two-Step Equations NAT: NAEP 2005 N5e | NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1 TOP: 3-1 Example 1 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | solving equations | two-step equation ANS: A PTS: 1 DIF: L2 REF: 3-1 Solving Two-Step Equations OBJ: 3-1.1 Solving Two-Step Equations NAT: NAEP 2005 N5e | NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1 TOP: 3-1 Example 1 30. 31. 32. 33. 34. 35. 36. 37. KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | solving equations | two-step equation | fractions ANS: C PTS: 1 DIF: L2 REF: 3-1 Solving Two-Step Equations OBJ: 3-1.1 Solving Two-Step Equations NAT: NAEP 2005 N5e | NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1 TOP: 3-1 Example 1 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | solving equations | two-step equation ANS: D PTS: 1 DIF: L2 REF: 3-2 Solving Multi-Step Equations OBJ: 3-2.1 Using the Distributive Property to Combine Like Terms NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1 TOP: 3-2 Example 1 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | solving equations | multi-step equation ANS: C PTS: 1 DIF: L2 REF: 3-2 Solving Multi-Step Equations OBJ: 3-2.2 Using the Distributive Property to Solve Equations NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1 TOP: 3-2 Example 4 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | solving equations | multi-step equation | Distributive Property ANS: C PTS: 1 DIF: L2 REF: 3-2 Solving Multi-Step Equations OBJ: 3-2.2 Using the Distributive Property to Solve Equations NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1 TOP: 3-2 Example 5 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | solving equations | multi-step equation | Distributive Property | decimals ANS: A PTS: 1 DIF: L3 REF: 3-3 Equations With Variables on Both Sides OBJ: 3-3.1 Solving Equations With Variables on Both Sides NAT: NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP I.4.2 | ADP J.3.1 | ADP J.5.1 | ADP K.2.3 STA: OH 9P6 TOP: 3-3 Example 1 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | solving equations | multi-step equation | Distributive Property ANS: A PTS: 1 DIF: L2 REF: 3-3 Equations With Variables on Both Sides OBJ: 3-3.1 Solving Equations With Variables on Both Sides NAT: NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP I.4.2 | ADP J.3.1 | ADP J.5.1 | ADP K.2.3 STA: OH 9P6 TOP: 3-3 Example 1 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | solving equations | multi-step equation | equations with variables on both sides ANS: D PTS: 1 DIF: L4 REF: 3-1 Solving Two-Step Equations OBJ: 3-1.1 Solving Two-Step Equations NAT: NAEP 2005 N5e | NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | two-step equation | equivalent equations | inverse operations | solution of the equation | solving equations | problem solving | word problem ANS: D PTS: 1 DIF: L2 REF: 3-2 Solving Multi-Step Equations OBJ: 3-2.1 Using the Distributive Property to Combine Like Terms NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1 TOP: 3-2 Example 2 38. 39. 40. 41. 42. 43. 44. 45. 46. KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | solving equations | two-step equation ANS: A PTS: 1 DIF: L3 REF: 3-2 Solving Multi-Step Equations OBJ: 3-2.1 Using the Distributive Property to Combine Like Terms NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 | ADP J.5.1 TOP: 3-2 Example 2 KEY: word problem | problem solving | solving equations | Distributive Property ANS: C PTS: 1 DIF: L3 REF: 3-3 Equations With Variables on Both Sides OBJ: 3-3.1 Solving Equations With Variables on Both Sides NAT: NAEP 2005 A2e | NAEP 2005 A4a | NAEP 2005 A4c | ADP I.4.2 | ADP J.3.1 | ADP J.5.1 | ADP K.2.3 STA: OH 9P6 TOP: 3-3 Example 1 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | equations with variables on both sides | equivalent equations | inverse operations | multi-step equation | multi-part question ANS: D PTS: 1 DIF: L2 REF: 3-4 Ratio and Proportion OBJ: 3-4.1 Ratios and Rates NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 | ADP K.8.1 STA: OH 9M1 | OH 9M2 | OH 9M5 TOP: 3-4 Example 3 KEY: conversion factor | multi-part question ANS: A PTS: 1 DIF: L3 REF: 3-4 Ratio and Proportion OBJ: 3-4.1 Ratios and Rates NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 | ADP K.8.1 STA: OH 9M1 | OH 9M2 | OH 9M5 KEY: conversion factor | unit rate | word problem | problem solving ANS: A PTS: 1 DIF: L3 REF: 3-4 Ratio and Proportion OBJ: 3-4.1 Ratios and Rates NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 | ADP K.8.1 STA: OH 9M1 | OH 9M2 | OH 9M5 KEY: conversion factor ANS: A PTS: 1 DIF: L2 REF: 3-4 Ratio and Proportion OBJ: 3-4.2 Solving Proportions NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 | ADP K.8.1 STA: OH 9M1 | OH 9M2 | OH 9M5 TOP: 3-4 Example 4 KEY: proportion ANS: D PTS: 1 DIF: L2 REF: 3-4 Ratio and Proportion OBJ: 3-4.1 Ratios and Rates NAT: NAEP 2005 N4b | NAEP 2005 N4c | NAEP 2005 M2b | NAEP 2005 A2f | ADP I.1.2 | ADP J.5.1 | ADP K.8.1 STA: OH 9M1 | OH 9M2 | OH 9M5 TOP: 3-4 Example 2 KEY: proportion | word problem | problem solving ANS: D PTS: 1 DIF: L2 REF: 3-5 Proportions and Similar Figures OBJ: 3-5.2 Indirect Measurement and Scale Drawings NAT: NAEP 2005 N4c | NAEP 2005 M2f | NAEP 2005 M2g | NAEP 2005 G2e | ADP I.1.2 | ADP J.5.1 | ADP K.3 | ADP K.7 STA: OH 9M4 TOP: 3-5 Example 3 KEY: indirect measurement | similar figures | proportion | problem solving | word problem ANS: D PTS: 1 DIF: L2 REF: 3-6 Equations and Problem Solving OBJ: 3-6.1 Defining Variables NAT: NAEP 2005 M1h | NAEP 2005 A4c | ADP J.5.1 TOP: 3-6 Example 2 KEY: Addition and Subtraction Properties of Equality | Multiplication and Division Properties of Equality | equivalent equations | inverse operations | multi-step equation | problem solving | word problem | consecutive integers 47. ANS: REF: NAT: STA: KEY: 48. ANS: REF: NAT: STA: KEY: 49. ANS: OBJ: NAT: STA: KEY: 50. ANS: OBJ: TOP: 51. ANS: OBJ: TOP: 52. ANS: OBJ: TOP: 53. ANS: OBJ: TOP: 54. ANS: REF: OBJ: NAT: KEY: 55. ANS: REF: OBJ: NAT: KEY: 56. ANS: OBJ: NAT: TOP: KEY: 57. ANS: REF: OBJ: NAT: STA: KEY: 58. ANS: OBJ: D PTS: 1 DIF: L2 3-8 Finding and Estimating Square Roots OBJ: 3-8.1 Finding Square Roots NAEP 2005 N1d | NAEP 2005 N2d | ADP I.2.2 | ADP I.3 | ADP I.4.1 OH 9N2 | OH 9N3 | OH 9N4 | OH 9N5 | OH 10N1 TOP: 3-8 Example 2 square root | irrational numbers | rational numbers B PTS: 1 DIF: L2 3-8 Finding and Estimating Square Roots OBJ: 3-8.1 Finding Square Roots NAEP 2005 N1d | NAEP 2005 N2d | ADP I.2.2 | ADP I.3 | ADP I.4.1 OH 9N2 | OH 9N3 | OH 9N4 | OH 9N5 | OH 10N1 TOP: 3-8 Example 2 square root | rational numbers | irrational numbers D PTS: 1 DIF: L2 REF: 3-9 The Pythagorean Theorem 3-9.1 Solving Problems Using the Pythagorean Theorem NAEP 2005 N3g | NAEP 2005 G3d | NAEP 2005 G3f | ADP I.4.1 | ADP K.1.1 | ADP K.1.2 | ADP K.5 OH 9G2 TOP: 3-9 Example 1 Pythagorean Theorem | right triangle A PTS: 1 DIF: L2 REF: 4-1 Inequalities and Their Graphs 4-1.1 Identifying Solutions of Inequalities NAT: NAEP 2005 A3a | ADP J.3.1 4-1 Example 1 KEY: solution of the inequality | inequality D PTS: 1 DIF: L3 REF: 4-1 Inequalities and Their Graphs 4-1.1 Identifying Solutions of Inequalities NAT: NAEP 2005 A3a | ADP J.3.1 4-1 Example 2 KEY: solution of the inequality | inequality B PTS: 1 DIF: L2 REF: 4-1 Inequalities and Their Graphs 4-1.2 Graphing and Writing Inequalities in One Variable NAT: NAEP 2005 A3a | ADP J.3.1 4-1 Example 3 KEY: graphing | inequality B PTS: 1 DIF: L2 REF: 4-1 Inequalities and Their Graphs 4-1.2 Graphing and Writing Inequalities in One Variable NAT: NAEP 2005 A3a | ADP J.3.1 4-1 Example 3 KEY: graphing | inequality A PTS: 1 DIF: L3 4-3 Solving Inequalities Using Multiplication and Division 4-3.1 Using Multiplication to Solve Inequalities NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 TOP: 4-3 Example 2 Multiplication Property of Inequality for c < 0 | solving inequalities A PTS: 1 DIF: L2 4-3 Solving Inequalities Using Multiplication and Division 4-3.2 Using Division to Solve Inequalities NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 TOP: 4-3 Example 3 Division Property of Inequality | graphing | solving inequalities C PTS: 1 DIF: L2 REF: 4-5 Compound Inequalities 4-5.1 Solving Compound Inequalities Containing And NAEP 2005 A3a | NAEP 2005 A4c | ADP J.3.1 STA: OH 9N2 4-5 Example 2 solving a compound inequality containing AND | compound inequality B PTS: 1 DIF: L3 4-6 Absolute Value Equations and Inequalities 4-6.2 Solving Absolute Value Inequalities NAEP 2005 N1g | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1 OH 9P6 TOP: 4-6 Example 3 solving absolute value inequalities | graphing | solving a compound inequality containing AND A PTS: 1 DIF: L2 REF: 6-1 Rate of Change and Slope 6-1.1 Finding Rates of Change 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1 STA: OH 9P3 | OH 9P14 TOP: 6-1 Example 1 KEY: rate of change ANS: B PTS: 1 DIF: L2 REF: 6-1 Rate of Change and Slope OBJ: 6-1.1 Finding Rates of Change NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1 STA: OH 9P3 | OH 9P14 TOP: 6-1 Example 2 KEY: graphing | rate of change ANS: A PTS: 1 DIF: L2 REF: 6-1 Rate of Change and Slope OBJ: 6-1.2 Finding Slope NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1 STA: OH 9P3 | OH 9P14 TOP: 6-1 Example 3 KEY: graphing | finding slope using a graph | slope ANS: B PTS: 1 DIF: L2 REF: 6-1 Rate of Change and Slope OBJ: 6-1.2 Finding Slope NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1 STA: OH 9P3 | OH 9P14 TOP: 6-1 Example 4 KEY: finding slope using points | slope ANS: B PTS: 1 DIF: L2 REF: 6-1 Rate of Change and Slope OBJ: 6-1.2 Finding Slope NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1 STA: OH 9P3 | OH 9P14 TOP: 6-1 Example 5 KEY: horizontal and vertical lines | slope | undefined slope ANS: D PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept Form OBJ: 6-2.1 Writing Linear Equations NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2 STA: OH 9P5 | OH 9P6 | OH 9P8 | OH 10P10 TOP: 6-2 Example 1 KEY: linear equation | y-intercept | slope ANS: B PTS: 1 DIF: L3 REF: 6-2 Slope-Intercept Form OBJ: 6-2.1 Writing Linear Equations NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2 STA: OH 9P5 | OH 9P6 | OH 9P8 | OH 10P10 TOP: 6-2 Example 1 KEY: slope | linear equation | y-intercept ANS: D PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept Form OBJ: 6-2.1 Writing Linear Equations NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2 STA: OH 9P5 | OH 9P6 | OH 9P8 | OH 10P10 TOP: 6-2 Example 2 KEY: linear equation | slope | y-intercept ANS: A PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept Form OBJ: 6-2.1 Writing Linear Equations NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2 STA: OH 9P5 | OH 9P6 | OH 9P8 | OH 10P10 TOP: 6-2 Example 3 KEY: graphing | slope | y-intercept | slope-intercept form | finding slope using a graph ANS: A PTS: 1 DIF: L2 REF: 6-5 Point-Slope Form and Writing Linear Equations OBJ: 6-5.1 Using Point-Slope Form NAT: NAEP 2005 A1h | NAEP 2005 A1i | NAEP 2005 A2a | NAEP 2005 A2b | NAEP 2005 A3a | ADP J.4.1 | ADP J.4.2 | ADP K.10.1 | ADP K.10.2 STA: OH 9P5 | OH 9P6 | OH 9P8 TOP: 6-5 Example 1 KEY: point-slope form | graphing | linear equation ANS: B PTS: 1 DIF: L2 REF: 5-2 Relations and Functions OBJ: 5-2.1 Identifying Relations and Functions NAT: NAEP 2005 A1g | ADP J.2.1 | ADP J.2.3 STA: OH 9P1 | OH 10P1 TOP: 5-2 Example 1 KEY: function | mapping diagram ANS: A PTS: 1 DIF: L2 REF: 5-2 Relations and Functions OBJ: 5-2.2 Evaluating Functions NAT: NAEP 2005 A1g | ADP J.2.1 | ADP J.2.3 70. 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. 81. STA: KEY: ANS: REF: NAT: STA: KEY: ANS: REF: NAT: STA: KEY: ANS: OBJ: STA: KEY: ANS: OBJ: NAT: TOP: ANS: OBJ: NAT: TOP: ANS: OBJ: NAT: TOP: ANS: OBJ: STA: KEY: ANS: OBJ: STA: KEY: ANS: OBJ: STA: KEY: ANS: OBJ: STA: KEY: ANS: REF: NAT: STA: ANS: REF: OH 9P1 | OH 10P1 TOP: 5-2 Example 4 function D PTS: 1 DIF: L2 5-3 Function Rules, Tables, and Graphs OBJ: 5-3.1 Modeling Functions NAEP 2005 A1e | NAEP 2005 A2a | ADP J.2.3 | ADP L.1.1 OH 9P1 | OH 9P2 | OH 9P3 | OH 10P10 TOP: 5-3 Example 1 graphing | function A PTS: 1 DIF: L2 5-3 Function Rules, Tables, and Graphs OBJ: 5-3.1 Modeling Functions NAEP 2005 A1e | NAEP 2005 A2a | ADP J.2.3 | ADP L.1.1 OH 9P1 | OH 9P2 | OH 9P3 | OH 10P10 TOP: 5-3 Example 4 graphing | function | absolute value A PTS: 1 DIF: L2 REF: 5-4 Writing a Function Rule 5-4.1 Writing Function Rules NAT: NAEP 2005 A1e | NAEP 2005 A3a OH 9P2 | OH 9P5 | OH 9D6 | OH 10P10 TOP: 5-4 Example 1 rule | function D PTS: 1 DIF: L2 REF: 5-5 Direct Variation 5-5.1 Writing the Equation of a Direct Variation NAEP 2005 A2a | NAEP 2005 A2b | ADP I.1.2 STA: OH 9P13 | OH 10P10 5-5 Example 4 KEY: rule | function | direct and inverse variation C PTS: 1 DIF: L2 REF: 5-5 Direct Variation 5-5.1 Writing the Equation of a Direct Variation NAEP 2005 A2a | NAEP 2005 A2b | ADP I.1.2 STA: OH 9P13 | OH 10P10 5-5 Example 3 KEY: direct and inverse variation C PTS: 1 DIF: L3 REF: 5-5 Direct Variation 5-5.1 Writing the Equation of a Direct Variation NAEP 2005 A2a | NAEP 2005 A2b | ADP I.1.2 STA: OH 9P13 | OH 10P10 5-5 Example 3 KEY: direct and inverse variation D PTS: 1 DIF: L2 REF: 5-6 Inverse Variation 5-6.1 Solving Inverse Variations NAT: NAEP 2005 A1e | NAEP 2005 A1h OH 9P13 TOP: 5-6 Example 1 constant of variation | inverse variation A PTS: 1 DIF: L2 REF: 5-6 Inverse Variation 5-6.1 Solving Inverse Variations NAT: NAEP 2005 A1e | NAEP 2005 A1h OH 9P13 TOP: 5-6 Example 2 constant of variation | inverse variation B PTS: 1 DIF: L3 REF: 5-6 Inverse Variation 5-6.1 Solving Inverse Variations NAT: NAEP 2005 A1e | NAEP 2005 A1h OH 9P13 TOP: 5-6 Example 3 word problem | problem solving | constant of variation | inverse variation A PTS: 1 DIF: L2 REF: 5-7 Describing Number Patterns 5-7.1 Inductive Reasoning and Number Patterns NAT: NAEP 2005 A1a | NAEP 2005 A1b OH 9P2 | OH 9P3 TOP: 5-7 Example 1 inductive reasoning | conjecture | geometric sequence A PTS: 1 DIF: L2 5-3 Function Rules, Tables, and Graphs OBJ: 5-3.1 Modeling Functions NAEP 2005 A1e | NAEP 2005 A2a | ADP J.2.3 | ADP L.1.1 OH 9P1 | OH 9P2 | OH 9P3 | OH 10P10 TOP: 5-3 Example 3 B PTS: 1 DIF: L2 5-3 Function Rules, Tables, and Graphs OBJ: 5-3.1 Modeling Functions NAT: NAEP 2005 A1e | NAEP 2005 A2a | ADP J.2.3 | ADP L.1.1 STA: OH 9P1 | OH 9P2 | OH 9P3 | OH 10P10 TOP: 5-3 Example 3 SHORT ANSWER 82. ANS: Pop. 2000 1800 1600 1400 1200 1000 800 600 400 200 1 2 3 4 5 6 Year PTS: 1 DIF: L2 REF: 1-5 Statistics: Scatter Plots OBJ: 1-5.2 Analyzing Data Using Scatter Plots NAT: NAEP 2005 D1a | NAEP 2005 D1b | NAEP 2005 D2h | NAEP 2005 A2c | ADP L.1.1 | ADP L.1.2 | ADP L.1.5 | ADP L.2.3 STA: OH 9D2 | OH 9D6 | OH 10D2 TOP: 1-5 Example 4 KEY: graphing | ordered pair | scatter plot 83. ANS: a. Nancy; the mean of her scores is 84.1, and the mean of Bob’s scores is 86. Nancy’s median score is 85. Bob’s median score is 85.5. b. Nancy; the range of her scores is 14, and the range of Bob’s scores is 22. PTS: 1 DIF: L3 REF: 1-6 Mean, Median, and Range OBJ: 1-6.2 Stem-and-Leaf Plots NAT: NAEP 2005 D1b | NAEP 2005 D1c | NAEP 2005 D2a | NAEP 2005 D2d | ADP L.1.1 | ADP L.1.2 | ADP L.1.3 | ADP L.1.4 STA: OH 9N4 | OH 9D3 | OH 10D1 | OH 10D3 | OH 10D4 | OH 10D5 TOP: 1-6 Example 5 KEY: mean-median-mode | range | measures of central tendency | stem-and-leaf plot | data analysis | multi-part question 84. ANS: Answers may vary. Sample: A - speed is slowing, as if skating uphill B - gaining speed quickly, as if beginning a downhill descent C - high speed briefly, as if just skating down a hill D - constant speed for some time, as if skating on an even surface PTS: 1 DIF: L3 REF: 5-1 Relating Graphs to Events OBJ: 5-1.1 Interpreting, Sketching, and Analyzing Graphs NAT: NAEP 2005 A2a | NAEP 2005 A2c | ADP J.4.8 STA: OH 9P2 KEY: graphing | interpret a graph | reasoning | writing in math 85. ANS: {7, 6, 5, 3} PTS: OBJ: STA: KEY: 1 DIF: L2 5-2.2 Evaluating Functions OH 9P1 | OH 10P1 function | domain | range REF: 5-2 Relations and Functions NAT: NAEP 2005 A1g | ADP J.2.1 | ADP J.2.3 TOP: 5-2 Example 4 OTHER 86. ANS: False; counterexamples may vary. Sample: PTS: OBJ: NAT: STA: KEY: is a real number, but it is not rational. 1 DIF: L3 REF: 1-3 Exploring Real Numbers 1-3.1 Classifying Numbers NAEP 2005 N1d | NAEP 2005 N1g | NAEP 2005 N1j | ADP I.2.1 | ADP I.2.2 | ADP I.3 OH 9N1 | OH 9N2 TOP: 1-3 Example 3 counterexample | rational numbers | real numbers | reasoning