Chapter 1 Practice 1-5 Guided Problem Solving 1-1

All-In-One Answers Version A Course 2 49

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.Course 2: All-In-One Answers Version A

Chapter 1Practice 1-1 1. $6.50 2. $3.00 3. $19.50 4. $4.50 5. 11 6. 5 7. 9 8. 69. 12 10. 13 11. 3 12. 10 13. 5 14–19. Sample answers aregiven. 14. $346; rounding 15. 20; rounding 16. 4,500; rounding17. 1,100; rounding 18. 12; compatible numbers 19. 42;front-end estimation 20. 13; compatible numbers 21. about $48022. about 33,600 slices

Guided Problem Solving 1-11. eight postcards; $.59 each; $2 total 2. Estimate the total costof eight postcards and stamps. 3. the product of 8 and $.59 4. $.60 5. $4.80 6. $2 7. $4.80 � $2 � $6.80 8. yes, 8 � 0.59� 2 � 6.72, which is close to 6.80 9. about $4.80

Practice 1-2 1. Associative Property 2. Identity Property 3. CommutativeProperty 4. Commutative Property 5. 13.39 6. 43.87 7. 35.8638. 41.913 9. 18.14 10. 17.8 11. 113.5 12. 67.51 13. 100.15214. 6.67 15. 49.84 16. 6.29 17. 16.39 18. 37.39 19. 7.9820. 1.763 21. 0.632 22. 0.702 23. $.55 24. $.40 25. $.7526. $.50 27. $1.05 28. $1.30

Guided Problem Solving 1-21. 8.91 in.; 4.24 in. 2. Find how much more rain there was inTallahassee than in St. Augustine. 3. how much more4. Align the decimal points 5. regroup 6. 4.67 in.7. Add 4.67 in. and 4.24 in. to get 8.91 in. 8. $14.50

Practice 1-3 1. 168 2. 6.57 3. 121.8 4. 2,805 5. 165 6. 1.26 7. 2.4578. 17.94 9. 263.479 10. 8.2948 11. 230.85 12. 300,182.964213. 5.6 � 1.2 � 6.72 14. 3.7 � 2.4 � 8.88 15. 6.5 � 2.5 � 16.2516. 1.02 � 6.9 � 7.038 17. 4.4 � 6.51 � 28.644 18. 0.6 � 9.312� 5.5872 19. Commutative Property 20. Associative Property21. Zero Property 22. Identity Property 23. $5.00 24. $18.50

Guided Problem Solving 1-31. 2.6 times; 5.2 million 2. Find how many head of cattle Texashad. 3. 5.2 4. 2.6 times more 5. 2.6 � 5.2 6. 2 decimalplaces 7. 1,352 8. 13.52 million 9. 15; yes 10. $51.68

Practice 1-4 1. 0.007 2. 48.5 3. 0.708 4. 35 5. 84,700 6. 3 7. 3,2608. 50.2 9. 6 10. 42.5 11. 185 12. 79 13. 1.01 14. 0.21315. 0.028 16. 0.062 17. 1.625 18. 2.25 19. 8.3220. 15.325 21. 5.625 22. 32.25 23. 2.4 lbs 24. $4.46

Guided Problem Solving 1-41. $2.25/yd; $31.50 2. Find how much sod the landscape architectbuys. 3. division 4. $31.50 5. $2.25 6. 14 7. 31.5; yes 8. 12 boards

Practice 1-5 1. 18 cm 2. 100 m 3. 25 mm 4. 250 mL 5. 700 6. 0.047. 83,000 8. 9.5 9. 0.008 10. 800,000 11. 43.014 km 12. 8,415 cm 13. 9.421 kg 14. 14.007 L 15. g 16. cm 17. L18. cm 19. km 20. mm 21. 26 22. 2 23. 3,300 mL or 3.3 L24. 2 grams

Guided Problem Solving 1-51. 350 mL; 2 L 2. Find how many coffee mugs you can fillfrom a 2 L container. 3. 1,000 mL 4. 2 L 5. multiply 6. 2,000 mL 7. divide 8. 5 mugs 9. less than 2,000 mL; yes10. Yes; 0.5 L is 500 mL, which is greater than 300 mL.

Practice 1-6 1. �8 2. 2 3. �4 4. 9 5. 7 6. �2 7. , 8. . 9. �10. , 11. , 12. . 13. . 14. .15.

16.

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19. 2 20. 3 21. 38 22. 3 23. 44 24. 7 25. 16 26. 4 27. 528. �5 29. 100 30. �135

Guided Problem Solving 1-61. the person with the lowest score 2. Compare the numberson a number line.3. ; �12

4. �12, �5, �4, �3, �10 5. T. Woods, R. Goosen, V. Singh, P.Mickelson, E. Els 6. yes; yes 7. best: �11; worst: �13

Practice 1-7 1. �5 2. 5 3. 3 4. 12 5. �8 6. �3 7. �14 8. 2 9. �1710. �19 11. 28 12. 43 13. 27 14. 28 15. �254 16. �23917. 51 18. �152 19. 9 20. 108 21. 7 22. 2 23. 10 24. �625. �9 26. �15 27. . 28. . 29. . 30. . 31. , 32. �33. 1478F 34. 1478F

Guided Problem Solving 1-71. 134°F; �80°F; difference 2. Find the difference between134°F and �80°F. 3. difference 4. 134 � (�80) 5. a positivenumber 6. 134 � 80 7. 214°F 8. �80°F 9. 38°F

Practice 1-8 1. positive; check students’ answers 2. negative; check students’answers 3. positive; check students’ answers 4. positive; checkstudents’ answers 5. negative; check students’ answers 6. positive;check students’ answers 7. negative; check students’ answers8. positive; check students’ answers 9. �4,200 10. 3,600 11. �512. �4,000 13. �9 14. 80,000 15. 3,000 16. �8 17. �418. 13 19. 100 20. 7 21. �30 22. �11 23. �78 24. 2025. 180 26. �8 27. �344 28. 13

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C2-ANS_C2 5/9/2006 3:08pm Page 49

Guided Problem Solving 1-81. 180 ft; 30 ft/min 2. Find the time it takes for the diver toreach the surface. 3. divide 4. 180 ft 5. 30 ft/min 6. 6 min7. 180 ft; yes 8. 25 min

Practice 1-9 1. 90 2. 4.75 3. 0.5 4. 38 5. 27 6. 36 7. 5 8. 9 9. 9; 6; 7510. 4; 4; 6.4 11. 9; 0.2; 34.2 12. 6; 178.2 13. 19.2 14. 35.5 15. 44.516. 36.8 17. 99.9 18. 62.3 19. (6 � 6) � 6 � (6 � 6) � 2420. 6 � (6 � 6) � 6 � 6 � 426 21. (6 � 6) � 6 � (6 � 6) � 022. (6 � 6) � 6 � 6 � 6 � 1 23. 9,670 ft2

Guided Problem Solving 1-91. Determine the cost of the lilies. 2. mental math 3. 30 4. 3 � $.98 5. 30($1.00 � $.02) 6. $30 � $.60 � $29.40 7. $29.40 8. $29.40; yes 9. $44.65

Practice 1-10 1. 23 students 2a. 12 students 2b. 11 students 3. mean: 287.5,median: 300, mode: 200, range: 450 4. 50 5. lower 6. 8 points7. 23 points 8. 18.4; 18; no mode; 7 9. 1.4; 2; 2 and 0; 3

Guided Problem Solving 1-101. the number of hours of practice before a concert 2. Find themean, median, and mode of the data. 3. 12 4. 24 5. 2 6. 00 1 1 1 2 2 2 3 3 4 5 7. 2 and 2 8. 2 9. 1 and 2 10. 211. 2 is the mean, median, and mode of the data. 12. 3 siblings

Chapter 1A Graphic Organizer1. Decimals and Integers 2. 10 3. Writing Gridded Responses4. Check students’ diagrams.

Chapter 1B Reading Comprehension1. Kareem Abdul-Jabbar 2. Bill Russell 3. Bill Russell 4. Shaquille O’Neal 5. Kareem Abdul-Jabbar 6. WiltChamberlain and Bill Russell 7. points per game 8. WiltChamberlain 9. b

Chapter 1C Reading/Writing Math Symbols1. E 2. C 3. A 4. G 5. B 6. F 7. D 8. C 9. F 10. B11. D 12. G 13. A 14. E

Chapter 1D Visual Vocabulary Practice1. order of operations 2. Associative Property of Addition 3. mode 4. range 5. mean 6. Distributive Property 7. Commutative Property of Multiplication 8. AssociativeProperty of Multiplication 9. median

Chapter 1E Vocabulary CheckCheck students’ answers.

Chapter 1F Vocabulary Review Puzzle

Chapter 2Practice 2-1 1. 35 2. 2.73 3. 11.64 4. 26 5. 8.35 6. 48 7. 0.5 � 0.5 � 0.5;0.125 8. (�4) � (�4) � (�4) � (�4) � (�4); �1,024 9. 2.7 �2.7; 7.29 10. 2 � 2 � 2; 8 11. (�5) � (�5) � (�5) � (�5) �(�5) � (�5); 15,625 12. 8.1 � 8.1 � 8.1; 531.441 13. �6414. �205 15. 270 16. 1,304 17. 5,625 18. 20 19. 42.59220. 14 21. 26 22. 0.648 23. 180 24. 2.197 25. 79.507 26. 8 in.

Guided Problem Solving 2-11. Determine what number 105 is. 2. the exponent 3. the base4. 100,000 5. 5 6. 100,000 7. Yes, because 102 has 2 zerosand magnifies 100 times; 103 has 3 zeros and magnifies 1,000 times.8. 9,000

Practice 2-2 1. 55 2. 60 3. 84 4. 45 5. 90 6. 20 7. 70 8. 221 9. 5610. 253 11. 70 12. 144 13. 18 necklaces 14. at 1:30 pm15. prime 16. composite 17. prime 18. composite 19. 2 � 3 � 7 20. 2 � 5 � 13 21. 2 � 3 � 13 22. 2 � 32 � 723. 53 24. 2 � 32 � 5 25. 22 � 23 26. 22 � 32 � 5 27. 1528. 6 29. 16 30. 5 31. 6 32. 17 33. 7 34. 3 35. 21

Guided Problem Solving 2-21. 125, 350, greatest number 2. Find the greatest commonfactor of 350 and 125. 3. 2 ? 5 ? 5 ? 7 4. 5 ? 5 ? 5 5. 5 ? 5 6. 25 7. 25 seats 8. 14; 5; no 9. 12 chairs

Practice 2-3 1. 2. 3. 4. 5. 6. 7. 8. 9. , 25 10. , 4

11. , 5 12. , 9 13. , 5 14. , 6 15. h 16. h 17. h

18–19. Check students’ answers.

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C Q E D E T A J P K A Z L H N

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R N O U R O L C C V E S E F I

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Y O T H G I P A A I I E O R L

I D E O O T M N R R N V U O P

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G K R N N A W S O I G U I R L

N M S D K A E V N D S E E U U

M E D I A N F M A R O M R L M

Course 2 All-In-One Answers Version A50

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Course 2: All-In-One Answers Version A (continued)

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.Course 2: All-In-One Answers Version A (continued)

Guided Problem Solving 2-31. 75; out of; 365 2. Write the number of clear days out of ayear in Houston as a fraction in simplest form. 3.4. 2 ? 3 ? 3 ? 5 5. 5 ? 73 6. 5 7. 18; 73 8.9. yes; 365 � 90 � (90 � 5) � (18 � 5) � 73 � 18 10.

Practice 2-4 1. , ; , 2. , ; . 3. , ; . 4. 24 5. 24 6. 10

7. 30 8. 60 9. 30 10. . 11. � 12. , 13. . 14. . 15. �16. , 17. , 18. , 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. No; is less than . 29. No; is less than .

30. Plant C, Plant A, Plant B 31. Riverton; is greater than .

Guided Problem Solving 2-41. ; ; 2. Determine which nail is long enough to nail theboard into the wall. 3. Write each fraction with the samedenominator. 4. 8 5. ; 6. 7. the in. nail 8. The in.nail is not long enough to go through the piece of wood. The onlynail long enough is the in. nail. 9. ; � 10. in., in., in.

Practice 2-5 1. 2. 3. 4. 5. 6. 7. 8. 8 9. 610. 4 11. 2 12. 1 13. 6 14. 25 15. 4 16. 6 17. 3 mi

18. 2 mi 19. 2 mi 20. 3 mi 21. 29

Guided Problem Solving 2-51. Find how many eighths of an inch are in 25 in. 2. a fractionin which the numerator is greater than the denominator 3. 84. 25 ? 8 5. Write 25 as an improper fraction. 6. 202 7. 202 eighths of an inch 8. 202 ÷ 8 � 25 9. cups

Practice 2-6 1. 0.6 2. 0.875 3. 4. 0.3125 5. 6. 0.625 7. 8. 9. 0.9 10. 11. 0.45 12. 0.75 13. 14. 15. 0.55 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 0.02, , 35. , 1.101,

36. , , 37. , , 38. beam, vault, uneven parallel

bars; , 0.33,

Guided Problem Solving 2-61. Order the DNA contents of the organisms. 2. Make all thenumbers fractions or make all the numbers decimals. 3. 0.854. 0.76 5. mosquito 6. sea star 7. pg, pg, 0.19 pg,

0.024 pg 8. ; ; pg, pg, 0.19 pg, 0.024 pg; yes

9. 0.25 oz, oz, 0.6 oz, oz

Practice 2-7 1. . 2. . 3. . 4. . 5. , 6. . 7. . 8. � 9. , 10. � ,

�0.5, , 1.5 11. �0.9, 0.09, , 12. � , � , �0.1,

13. �6.6, � , 0.6, 14. �1.33, �1 , 1.312, 1 15. �1, � , , 1

16. 17. � 18. 19. 20. noon 21. Shelly

Guided Problem Solving 2-71. ; 0.25; 2. Find which animal’s eggs have the highestsurvival rate. 3. Change the fractions to decimals. 4. 0.04 5. 0.2 6. 0.25 7. frog 8. ; yes 9. the 0.62 in. nail

Practice 2-8 1. 7.3 � 107 2. 4.3 � 103 3. 5.1 � 102 4. 5.687 � 104

5. 6.89 � 104 6. 9.8 � 1010 7. 4.89 � 106 8. 3.8 � 101

9. 1.2 � 105 10. 5.43 � 105 11. 2.7 � 101 12. 5.4 � 104

13. 5,700,000 14. 245,000,000 15. 470,600,000,000 16. 8017. 7,200 18. 1,630,000,000,000 19. 803,000,000,000,00020. 32,600 21. 517,900 22. 2 � 105 23. 2.2 � 108 24. 1 � 1014

25. 2.8 � 109 26. 1.06 � 107 27. 9.19263177 � 109

Guided Problem Solving 2-81. Write the number 350,000 in scientific notation.2. A number in scientific notation is written as the product oftwo factors. One factor is greater than or equal to 1 or less than10, and the other is a power of 10. 3. 5 places 4. 5 5. 3.5and 105 6. 3.5 � 105 7. 350,000; yes 8. 2.87509286 � 108

Chapter 2A Graphic Organizer1. Exponents, Factors, and Fractions 2. 8 3. Writing ShortResponses 4. Check students’ diagrams.

Chapter 2B Reading Comprehension1. The geysers at Yellowstone National Park 2. 13. 5 min � = hr = hr 4. Steamboat Geyser

5. = ; = ; 2,000 to 2,400

gallons per minute 6. a

Chapter 2C Reading/Writing Math Symbols1. Negative seven is less than six. 2. Four raised to the thirdpower is sixty-four. 3. Negative three is greater than negative five.4. The absolute value of negative five is five. 5. Three squaredis nine. 6. Three and one hundredth is approximately equal tothree. 7. Eight divided by four is equal to two. 8. One-third isless than three-fifths. 9. Four point six repeating is greater than zero.10. Five raised to the fourth power is six hundred twenty-five.

11. 3 < 4 12. |2.6| = 2.6 13. – > –10 14. 4.3 ≈ 4.

15. 25 = 32 16. 63 = 216

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Chapter 2D Visual Vocabulary Practice1. improper fraction 2. greatest common factor 3. repeatingdecimal 4. equivalent fractions 5. least common denominator6. scientific notation 7. least common multiple 8. simplestform 9. prime factorization



Chapter 3Practice 3-1 1. 2. 1 3. 2 4. 1 5. 1 6. 7. 9 8. 1 9. 13 10. 2511. 1 12. 1 13. 2 14. 45 15. 4 16. 7 17. 42 18. 319. 4 20. 3 21. 7 22. 45 23. 8 24. 40 25. about 42 yd26. 20 pairs 27. about 4 gal 28. about $35 29. 3 30. 131. 80 32. 3 33. 45 34. 35. 36. 4 37. 1

Guided Problem Solving 3-11. Determine how much chicken you should order. 2. If thenumerator is bigger than half the denominator, you round to thenext whole number. If the numerator is smaller than half thedenominator, you keep the whole number. 3. 9 4. 8 5. bigger6. up 7. about 10 pounds 8. 20 packages 9. 0.5625; 1; yes10. 2 yards

Practice 3-2 1. 2. 3. 4. 1 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. sesame sticks, dried apricots 17. walnuts, almonds 18. pretzels, almonds 19. raisins, sesame sticks 20. walnuts,pretzels 21. pretzels, dried apricots; or almonds, sesame sticks22. 0 23. 24. 1 25. 26. 27.

Guided Problem Solving 3-21. mi; mi 2. Determine who rowed farther and by howmuch. 3. The denominators need to be the same. 4. mi 5. mi 6. 30 7. ; 8. your friend 9. of a mile 10. � � 11. 6 pieces of cheesecake left, or of thecheesecake.

Practice 3-3 1. 9 2. 11 3. 8 4. 12 5. 15 6. 14 7. 2 8. 69. 7 10. 3 11. 3 12. 8 13. 14. 1 15. 17 16. 17. 20 18. 19. 1 h 20. 5 h 21. 4 h 22. 14 h

Guided Problem Solving 3-31. 4 mi; 3 mi 2. Find the total distance you hiked. 3. 4 isabout 4, 3 is about 4, so 4 � 4 � 8. 4. 7 5. a commondenominator 6. 8 7. 8. 7 9. 7 miles 10. yes 11. 4 mi

Practice 3-4 1. 2. 3. 4. 5. 6 6. 20 7. 27 8. 1 9. 7 10. 111. 1 12. 13. 13 14. 11 15. 8 16. 5 17. 10 18. 719. 13 in. 20. 22 cm 21. 16 lb 22. about 8,760,000

Guided Problem Solving 3-41. mi; 3 times 2. Find how far you jogged. 3. Multiplication4. mi 5. 3 times 6. ? 3 7. mi 8. 4 times; yes, because

mi is close to 1 mi and 3 is close to 4. 9. 1 walls

Practice 3-5 1. 2 2. 3. 4. 5. 6. 7. 3 8. 10 9. 10. 811. 5 12. 13. 14. 15. 2 16. 17. 2 18. 219. 3 20. 1 21. 1 22. 5 23. 4 24. 2 25. 4 26. 127. 2 28. 7 servings 29. 40 times 30. 24 min 31. 1 h

Guided Problem Solving 3-51. 5 miles; 1 h; 1 h 2. Find the distance the manatee can

swim in 1 hour. 3. 4. 5. � 6. 4 mi 7. Less; yes,

the manatee can swim 4 miles in 1 hour. 8. 3 miles15

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O P E R F R A C T I O N

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Practice 3-6 1. multiply 2. divide 3. divide 4. multiply 5. divide6. multiply 7. 2 8. 4,500 9. 126 10. 12 11. 15 12. 2013. 109 14. 28 15. 5 16. 30 17. 32 18. 2,640 19. 6,33620. 2 21. 2 22. 78,720,000,000 quarts 23. 188 in. 24. fluidounces 25. feet 26. miles 27. fluid ounces

Guided Problem Solving 3-61. 4,000 miles; feet 2. Convert 4,000 mi. into feet. 3. 5,280feet 4. multiply 5. 4,000 miles ? 5,280 6. 21,120,000 feet7. more 8. 475,200 ft

Practice 3-7 1. 20.7 oz 2. 1,830 g 3. 63.70 L 4. 5,610 lb 5. 58.3 cm6. 1,735 mL 7. 0.95 pt 8. 516 sec 9. 2.7 mL 10. 8.39 cm11. 3,106 in. 12. 6.123 lb 13. 10.6 oz 14. 81 g 15. 12.84 yd16. 75 cm 17. 13 m 18. 4,306 ft 19. 11.1 mL 20. 45 lb21. 17.1 km 22. 4,250 ft 23. Brother’s measurement; since afoot is a shorter unit than a yard, the measurement in feet ismore precise.

Guided Problem Solving 3-71. 2,458.75 ft; 3,000 - ft; How much farther 2. Find thedistance the climber still has to climb. 3. 3,000 ft, because ithas fewer decimal places 4. the nearest whole number 5. 2,485.75 ft 6. 3,000 ft 7. 541.25 ft 8. 541 ft 9. 2,459 ft;541 ft; yes 10. 3.8 oz

Chapter 3A Graphic Organizer1. Operations with Fractions 2. 7 3. Reading for Understanding4. Check students’ diagrams.

Chapter 3B Reading Comprehension1. ancient measurements 2. a foot, which is about 11 inches 3. 3, 4, 5, 9, 11 4. 12 inches – 11 inches = inch 5. 11 inches

� = 33 grains 6. 12 inches � = 36 grains 7. a

Chapter 3C Reading/Writing Math Symbols1. C 2. H 3. A 4. F 5. D 6. G 7. B 8. E 9. 100 km10. 47 lb 11. 3.7 oz 12. 2.5 mL 13. 5.33 g 14. 4 in.15. 13 m 16. 5 t

Chapter 3D Visual Vocabulary Practice1. convert 2. sum 3. define 4. figure 5. compare6. equivalent 7. order 8. estimate 9. table



Chapter 4Practice 4-1 1. 29 2. 30 3. 4 4. 14 5. 24 6. 56 7. 11 8. 28 9. 112 10. 2n � 3 11. 16 more than n 12. 3.2 times n13. 25.6 n less than 14. n divided by 24 15. 45 divided by n16. 15.4 n less than 17. m � 12 18. 6f 19. a � 25 20. 21a. 5m 21b. $26.25

Guided Problem Solving 4-11. Write an algebraic expression for the approximate number ofnames in p pages of the directory. 2. a mathematical phrase withat least one variable 3. the number of pages in the directory4. 11 names 5. 110 names 6. 440 names 7. 440 names 8. 440p names 9. 440p names 10. 440; 880; 1,320; yes 11. 48p

Practice 4-2 1. 30 2. 99 3. 29.6 4. 57 5. t � 5 6. w � 8 7. p � 7 8. a � 139. h � 24 10. g � 128 11. y � 39 12. d � 16 13. w � 2514. t � 4 15. y � 10.64 16. x � 104.97 17. 210 � x � 520;about 300 cans 18. $.79x � $11.85; 15 balloons

Guided Problem Solving 4-21. 2,000 lb; 55-lb boxes 2. Write an equation to estimate thenumber of boxes you can safely place on the elevator at onetime. 3. the number of boxes 4. 2,000 lb 5. 55 lb 6. 55x � 2,000 7. 36 boxes 8. yes; 36 boxes � 55 lb/box� 1,980 lb 9. 65x � 5,000; x is about 77 minutes or 1 hour 17minutes

Practice 4-3 1. 3 2. �2 3. 5 4. �8 5. �5 6. �4 7. 4 8. 11 9. �1010. 21 11. �6 12. 22 13. �15 14. �25 15. 18 16. �1117. �27 18. �45 19. 65 20. 55 21. m � 62.3 � 20,186.7;20,124.4 miles 22. g � $25.00 � $176.89; $201.89 23. x � 3 � 11.5; 14.5 inches

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Guided Problem Solving 4-31. 12 ladybugs; 9 fewer 2. Find the number of ladybugs thestudent collected yesterday. 3. the number of ladybugs thestudent collected yesterday 4. 12 5. Sample: b 6. b � 9 7. 12 � b � 9 8. b � 21 9. 21 ladybugs 10. 12 � b � 9; 12 �21 � 9; 12 � 12 11. 72 � k � 15; 57 in. tall

Practice 4-4 1. 14 2. �243 3. �28 4. �18 5. 36 6. 48 7. �7 8. �79. 16 10. �52 11. �7 12. �126 13. �96 14. �5 15. 416. 288 17. �399 18. 1,386 19. �4 20. �8,918 21. �11322. �50 23. 15n � 240, n � 16; 16 flowers 24. � 1,500,n � 7; 7 gal

Guided Problem Solving 4-41. 26 lb; 390 lb 2. Find the number of years it will take for atree to absorb 390 lb of carbon dioxide. 3. Multiplication; thenumber of years times the amount of carbon dioxide a treeabsorbs each year equals the total amount of carbon dioxideabsorbed. 4. 26 lb 5. 26y lb 6. 26y � 390 7. y � 15 8. 15 years 9. 26y � 390; 26 � 15 � 390; 390 � 390 10. 8x � 1,000; x � 125 days

Practice 4-5 1. Let g � the price of gas; 6g � 20 2. Let d � the distancefrom Boston to New York; d � 25 3. Let e � the number ofeggs needed in the recipe; 5e � 2 4. Let m � the number ofmegabytes in a computer; 5. h � 3 6. s � 9 7. y � 18. g � 4 9. j � 2 10. w � 4 11. h � 6 12. g � 3213. b � 7 14. $5 � $2m; $45

Guided Problem Solving 4-51. 2 zucchini per minute; 30 sliced zucchini; already sliced 12zucchini 2. Find how long it will take to finish slicing thezucchini. 3. the number of minutes it will take to finish slicingthe zucchini 4. 30 5. 12 6. 30 � 12 � 18 7. 2 minutes 8. 2t � 18 9. 9 minutes 10. 9 � 2 � 18; yes 11. t � 2 hours

Practice 4-6 1. m � 9 2. y � 35 3. y � 12 4. m � 342 5. y � �606. a � 10 7. c � 225 8. t � �2 9. b � �4 10. d � �111. z � 153 12. e � 175 13. f � 18 14. y � 3 15. w � 2716. j � �57 17. (4 � 8) ÷ 3 � 4 18. (11 � 4) � 5 � 75 19. (9 � 3) ÷ 2 � 6 20. (9 � 1) � 4 � 32 21. C 22. A23. D 24. B

Guided Problem Solving 4-61. $20 per hour; $1.50; $117 2. Find the number of hours youneed to work to earn $117. 3. $3 4. 20h 5. 20h � 3 6. $1177. 20h � 3 � 117 8. h � 6 9. 6 hours 10. 20h � 3 � 117; 20� 6 � 3 � 117; 117 � 117 11. 7 hours

Practice 4-7 1.

2.

3.

4.

5. no 6. yes 7. no 8. yes 9. no 10. yes 11. x . �2 12. z # 30 13. t # 20

14. v . 150

15. e # 350

Guided Problem Solving 4-71. Explain why �17 is greater than �22. 2. a number line3–4.

5. �17 6. �17 is farther to the right on the number line.7. the definition of ordering numbers 8. �8 is farther to theleft on the number line.

Practice 4-8 1. w , �6

2. a $ 4

3. a . �6

4. x # 5

5. a . �5

6. t , 9

7. r # 6

8. a $ �8

9. h . 4

10. y , �8

11. x � 44 . 85; x . 41; Lawrence needs to score more than41 points. 12. x � 12,500 # 16,000; x # 3,500; you can notload more than 3,500 pounds on the truck.

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0 100 200 300 400

v

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t

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Guided Problem Solving 4-81. give you $35; $100 2. Find how much money you need tosave to buy the scooter. 3. � 100 4. s � 35 5. at least $1006. s � 35 � 100 7. s � 65 8. at least $65 9. $100 10. h � 36 � 42; h � 6 in.

Practice 4-9 1. w # 6

2. a $ 4

3. f # �6

4. v . 8

5. a . �4

6. c # �9

7. f . �2

8. a # 7

9. w $ �3

10. h # 10

11. 5b # $35; b # $7; Each baseball cannot cost more than $7. 12. 4b # $25; b # 6.25; Melinda cannot babysit formore than 6 hours.

Guided Problem Solving 4-91. 36 people per run; At least 10,000 people 2. Find howmany times the roller coaster needs to run. 3. � 10,000 4. 36r5. 10,000 6. 36r � 10,000 7. r � 8. 278 times 9. 10,008people 10. up to 10 pounds

Chapter 4A Graphic Organizer1. Equations and Inequalities 2. 9 3. Writing ExtendedResponses 4. Check students’ diagrams.

Chapter 4B Reading Comprehension1. Sample answer:American Indian and Alaska Native populationin the United States 2. 4 million 3. 1.5% 4. California 5. 133,000 6. Sample answer: The California population ismuch larger. 7. b

Chapter 4C Reading/Writing Math Symbols1. C 2. E 3. D 4. A 5. B 6. 11x – 9 7. x + 4 = 13 8. x � 4 9. |x| 10. a number decreased by ten; ten less than x11. the product of five and a number; five times a number 12. the sum of a number and three squared; a numberincreased by the quantity three squared

Chapter 4D Visual Vocabulary Practice1. Addition Property of Equality 2. inequality 3. solution ofan equation 4. variable 5. Subtraction Property of Inequality6. open sentence 7. Division Property of Equality 8. solutionof an inequality 9. Multiplication Property of Inequality


Chapter 4F Vocabulary Review1. variable 2. equation 3. solution 4. inverse 5. inequality6. Associative Property of Addition 7. opposite 8. median9. commutative 10. Identity Property of Zero 11. absolute value12. integers 13. additive 14. outlier 15. order of operations

Chapter 5Practice 5-1 1. 182 to 10; 182 : 10; 2. 284 to 1,000; 284 : 1,000;

3. 10 : 12; or 5 : 6 4. 39 : 34 5. 6. 7. 8. Yes, they areequivalent. 9. No, they are not equivalent. 10. Yes, they areequivalent. 11. 3 : 10

Guided Problem Solving 5-11. 2 cups of water; 3 cups of flour; 9 cups of flour 2. Find thenumber of cups of water you will need with 9 cups of flour.3. You can use multiplication to find new numbers that sharethe same proportional relationship as the numbers in theoriginal recipe. 4. or 2 : 3 5. 9 cups 6. � 7. 6 cups 8. Since 9 cups is three times 3 cups, the number of cups ofwater needed is also tripled. 9. 32 black tiles

Practice 5-2 1. 50 mi/h 2. $9.40/h 3. 40 pages/h 4. 52 words/min or 3,120 words/h 5. 311 parts/h 6. 25 books/shelf 7. $.0099/sheet; $.00858/sheet; 500 sheets 8. $1.29/lb; $1.267 lb;12 oz 9. $.1193/oz; $.1242/oz; 15 oz 10. $.63/lb; $.498/lb; 5 lb11. $.3125/pencil; $.2276/pencil; 25 pencils 12. $.2225/bagel;$.2317/bagel; 4 bagels 13a. Yolanda; 1 yd 13b. 11 yd, or 11yd 4 in.

Guided Problem Solving 5-21. Population density is the number of people per unit of area.2. Find the population density for Alaska. 3. that you aregoing to divide the number of people by the area 4. 626,932

people 5. 570,374 mi2 6. 7. 1.099 people/mi2

8. 1 person/mi2 9. Because the number of people in Alaska isvery close to the number of square miles 10. $4.74/member

626,932 people

570,374 mi2

19

69

23

23

314

31

23

2841,000

18210

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Practice 5-3 1. yes 2. no 3. no 4. yes 5. no 6. yes 7. no 8. yes 9. yes10. no 11. no 12. no 13. not proportional 14. proportional15. proportional 16. not proportional 17. proportional18. not proportional 19. not proportional 20. proportional21. proportional 22. not proportional 23. proportional24. proportional 25. no 26. yes

Guided Problem Solving 5-31. 4 parts blue; 5 parts yellow; 16 quarts of blue paint; 25 quartsof yellow paint 2. Determine whether you will get the desiredshade of green with 16 quarts of blue paint and 25 quarts ofyellow paint. 3. Yes; if the ratio of 16 to 25 is the same as theratio of 4 to 5, you will get the desired shade of green. 4.5. 6. 4 ? 25 � 5 ? 16; 100 � 80 7. no 8. No, the ratios are not the same. 9. The cross products are not equal. 10. No, itis not. The boy-to-girl ratio in your math class is ; the boy-to-girl ratio in your study group is .

Practice 5-4 1. 8 2. 14 3. 15 4. 7.5 5. 28 6. 6 7. 35 8. 20 9. 9 10. 611. 2 12. 18 13. $12,000 14. 1c 15. 67.5 min 16. 364 mi17. 60 days 18. 18 eggs

Guided Problem Solving 5-41. Find how many students should attend school to keep thesame student-to-teacher ratio. 2. Yes, because you have tworatios that need to be equal. 3. 4. 5. �

6. 510 students 7. yes, � 30 and � 30 8. 6 black marbles

Practice 5-5 1. /J 2. /O 3. 4. 5. 4 : 3 or 3 : 4 6. 4 7. 128. 8 9. x � 12; y � 13 10. 2.5 11. 10 12. 288 ft 13. 20 in.

Guided Problem Solving 5-51. Find the longer side of the rectangle. 2. No, the ratio ofthe are as cannot be set equal to the ratio of the shorter sidesbecause the area is in square units and the length of the shorterside is not. 3. The length of the longer side of the rectanglewhose area is 32 in.2 4. 8 in. 5. � 6. 1 � 288, 2 � 144,3 � 96, 4 � 72, 6 � 48, 8 � 36, 9 � 32, 12 � 24, 16 � 18 7. 12 � 24 8. 24 in. 9. Since the rectangles are similar, thelengths of the corresponding sides must be in proportion.10. 15 in.

Practice 5-6 1. 94.5 km 2. 131.25 km 3. 14.7 km 4. 3,780 km5. 47.25 km 6. 74.55 km 7. in. 8. in. 9. in. 10. in.11. in. 12. in. 13. 80 km 14. 50 km 15. 55 km 16. 95 km 17. 50 km 18. 20 km 19a. 1 in. : 12 ft

19b.

Guided Problem Solving 5-61. Explain how you find the length of the drawing of an objectwith an actual length of 51 ft. 2. the scale, the actual length, aratio or proportion, and the answer 3. the ratio that comparesa length in a drawing to the corresponding length in the actualobject 4. 2 in. � 17 ft 5. 51 ft 6. � 7. 6 in. 8. Every 2 in. represents 17 ft. Fifty-one feet is 3 times 17 ft. Three times2 in. is 6 in. Therefore, the object should be 6 in. long in adrawing. 9. 75 ft

Chapter 5A Graphic Organizer1. Ratios, Rates, and Proportions 2. 6 3. Using a Variable 4. Check students’ diagrams.

Chapter 5B Reading Comprehension1. 74, 1994, 12.4 2. How fast were the winds of HurricaneGordon? 3. mi/h 4. No, the winds need to be in excess of, ormore than, 74 mi/h in order to be classified as a hurricane.Winds of 74 mi/h would not qualify as a hurricane. 5. 1994 6. 12.4 mi/h 7. x – 12.4 = 74 8. 86.4 mi/h 9. a

Chapter 5C Reading/Writing Math Symbols1. , or a : b 2. 3. 5n + 4 4. ? 5. x is less than orequal to 25. 6. The absolute value of negative 20 is greater thanthe absolute value of 15. 7. One ounce is approximately equalto twenty-eight grams. 8. One third is equal to four twelfths.9. D 10. G 11. H 12. F 13. C 14. A 15. B 16. E

Chapter 5D Visual Vocabulary Practice1. equivalent ratios 2. indirect measurement 3. rate 4. unit rate 5. proportion 6. cross products 7. scale 8. unit cost 9. similar polygons


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Chapter 6Practice 6-1 1. 2.

3.

4. 80% 5. 60% 6. 90% 7. 30% 8. 24% 9. 7% 10. 18%11. 36% 12. 40% 13. 70% 14. 16% 15. 64% 16. 55%17. 95% 18. 54% 19. 82% 20. 36% 21. 40% 22. 75%

23. 24. 25. Sample answer:

26.

Guided Problem Solving 6-11. Nineteen-twentieths of the troops had never before been ina battle. 2. Find the percent of the troops that had previouslybeen in a battle. 3. 4. 5. 100 6. 7. 5% 8. 95%;95% � 5% � 100%; yes 9. 60%

Practice 6-2 1. ; 0.65 2. ; 0.375 3. ; 0.8 4. ; 0.25 5. ; 0.18 6. ; 0.46

7. ; 0.87 8. ; 0.08 9. ; 0.43 10. ; 0.55 11. ; 0.94

12. ; 0.36 13. 53.3% 14. 14% 15. 56% 16. 4.1% 17. 37.5%

18. 58.3% 19. 38.7% 20. 28.3% 21. 22.2%

22.

Guided Problem Solving 6-21. Write your grades in order from least to greatest. 2. Writethe numbers as percents or as fractions with common denominators.3. the number of quizzes taken 4. 85%, 90%, 80%, 92%, 84%,79% 5. 79%, 80%, 84%, 85%, 90%, 92% 6. 510 7. 85% 8. yes 9. 60%, 65%, 75%, 80%, 81%, 89%; 75%

Practice 6-3 1. C 2. B 3. A 4. C 5. B 6. A 7. C 8. A 9. . 10. ,11. , 12. . 13. � 14. . 15. 140% 16. 137% 17. 0.8%18. 525% 19. 170% 20. 162.5% 21. 185% 22. 1.4%23. 112.5% 24. 0.3% 25. 180% 26. 0.25% 27. 530%28. 0.41% 29. 8.3% 30. 0.09% 31. 83% 32. 2,000% 33. 1.75; 1 34. 1.2; 1 35. 0.004; 36. 0.00625;37. 7.5; 7 38. 8.25; 39. about 0.89% 40. about 0.31%

Guided Problem Solving 6-31. The snow pack was 126% of the average snow pack. 2. Writethe percent as a decimal and as a fraction in simplest form.3. Divide by 100. 4. 126; 100 5. 1 6. 1.26 7. 126; yes 8.

Practice 6-4 1. 112 2. 84 3. 4.5 4. 28 5. 20 6. 40 7. 80 8. 4 9. 15010. 16.8 11. 54 12. 15 13. 17 14. 60 15. 19.665 16. 67.217. 72 18. 50.4 19a. 19 lb 19b. 1 lb 19c. 10% 19d. 10 lb20. $120

Guided Problem Solving 6-41. 17,000 forest fires; 40% 2. Find 40% of 17,000. 3. You canmultiply 17,000 by the equivalent decimal to find the percentage.4. 40% 5. 0.4 6. 17,000 7. 17,000 ? 0.4 � 6,800 8. 6,8009. 17,000 ? 0.5 � 8,500; yes 10. 24 shirts

Practice 6-5 1. 80 2. 148.75 3. 55.6% 4. 95 5. 21.44 6. 60 7. 300%8. 102 9. 9.6 10. 74 11. $160 12. 128 people 13. 560employees 14. about 55%

23

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1350

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15

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43100

225

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2350

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120

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4

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Guided Problem Solving 6-51. 9 books; 55% 2. Find how many books the library has on thetopic. 3. 45% 4. Sample answer: b 5. 9 books 6. � 7. b � 20 8. 20 books 9. 0.55(20) � 11; 11 � 9 � 20; yes10. 15,000 people

Practice 6-6 1. 75% 2. 20.8 3. 96 4. 66.7% 5. 39.8 6. 340 7. 20.2%8. 475.8 9. 135.5 10. 59.5% 11. 90.7 12. 875 13a. 85%13b. $7.61 14. 360,000 people

Guided Problem Solving 6-61. 72 cookies; 20% of the cookies 2. Find how many cookiesare at the bake sale. 3. is 4. Sample answer: c 5. 72 6. 0.2c7. 0.2c � 72 8. c � 360 9. 360 cookies 10. 0.2(360) � 72; yes11. 40 cards

Practice 6-7 1. $18.73 2. $22.88 3. $56.43 4. $218.78 5. $92.446. Sample answer: $1.95 7. Sample answer: $2.70 8. Sampleanswer: $2.25 9. $30 10. $6,400 11. $30 12. $384 13. $1,120 14. $640 15. $1,490 16. $1,492.50 17. $111.8218. You and your sister each earn $24.50.

Guided Problem Solving 6-71. 6%; the first $500; 8%; sales over $500; $800 sale 2. a percentof the amount of a sale 3. addition and multiplication 4. $3005. $30 6. $24 7. $54 8. $50 and $30; $25; $55; yes 9. $170

Practice 6-8 1. 30% decrease 2. 8.3% increase 3. 22.9% decrease 4. 773%increase 5. 65% decrease 6. 40% decrease 7.

Guided Problem Solving 6-81. 1,200 and 900 2. last season 3. Find the percent of change.

4. 300 yd 5. � 6. 1,200x � 30,000 7. 1,200 8. 25% 9. decrease 10. It is a decrease because the numberof yards gained this season is less than the number of yardsgained last season. 11. 60%; an increase

Chapter 6A Graphic Organizer1. Percents 2. 8 3. Working Backward 4. Check students’diagrams.

Chapter 6B Reading Comprehension1. The graphs show why people purchase insurance and whobuys insurance when renting a car. 2. wanted extra coverage3. 100% 4. 18–24 5. 35–54 6. weren’t sure existing policiesprovided enough 7. a

Chapter 6C Reading/Writing Math Symbols1. 3 ft : 1 yd 2. 47.6% 3. 37% > 4. 1 m : 100 cm 5. 106% 6. < 26% 7. 8 qt : 2 gal 8. 93.32% 9. |–16| 10. 11. The absolute value of negative 7.3 is 7.3. 12. thirty and 8hundredths percent 13. 50 percent is greater than two fifths.14. 2 hours to 120 minutes 15. 55 divided by 100 16. onetenth is less than 12 percent.

Chapter 6D Visual Vocabulary Practice1. calculate 2. graph 3. represent 4. solve 5. explain 6. verify 7. pattern 8. substitute 9. model


Chapter 6F Vocabulary Review1. F 2. C 3. A 4. E 5. B 6. D 7. K 8. J 9. L 10. M 11. H 12. G

Chapter 7Practice 7-1 1. parallel 2. parallel 3. parallel 4. intersecting 5. parallel6. intersecting 7. parallel 8. and 9. Sample answer:

10. Sample answer: A, G, B 11. Sample answer: ,12. Sample answer: ,

13. Sample answer: 14. Sample answer:

Guided Problem Solving 7-11. A ladder is a device that helps you reach things that arehigh off the ground. Check students’ drawings. 2. The rungsare the steps that you climb. Check students’ drawings.3. Determine if the rungs are parallel, intersecting, or skew.4. no 5. yes 6. no 7. no 8. yes 9. Parallel lines are lines inthe same plane that do not intersect; yes 10. Answers will vary.

Practice 7-2 1. right 2. obtuse 3. acute 4. straight 5. acute 6. right 7. Sample answer: , , , 8. Sample answer: ,

, 9. Sample answer: /VXW and /UXP 10. /QNT,/SNQ, /SNY, /YNT 11. /MSW and /UST, /SXP and/VXW 12. /MSX and /MSU, /MSX and /XST13. /QNX and /XNS; /TNP and /PNY 14. 678 15. 178

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XP)*

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XU)

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AB)

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EF)*

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78100

14

13

x100

(1,200 2 900)1,200

Enrollment in Center City Schools From 1995 to 2000

Year Enrollment Change from Last Year Change from Increase or(number of students) Last Year (%) Decrease

1995 18,500 — — —

1996 19,300

1997 19,700

1998 19,500

1999 19,870

2000 19,200

800 4% increase400 2% increase200 1% decrease370 2% increase670 3% decrease

45100

9b

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16. 238 17.

Guided Problem Solving 7-21. Determine whether an angle can ever have the same measureas its complement. 2. If there is an angle that has the samemeasure as its complement, show that the sum of the angles is90º. If there is not an angle that has the same measure as itscomplement, explain why. 3. two angles whose sum measures90º 4. The angle is half of 90º. 5. 45º 6. yes 7. Sampleanswer: The complement of a 45º angle is a 45º angle, and the sumof 45º and 45º is 90º. 8. yes; Sample answer: The supplement ofa 90º angle is a 90º angle, and the sum of the 90º and 90º is 180º.

Practice 7-3 1. 1258 2. 678 3. 368 4. 538 5. 728 6. 508 7. scalene acute8. isosceles; angles cannot be determined 9. right; sides cannotbe determined 10. equilateral, acute 11a. right 11b. No;sides are not congruent. 11c. No; no two angles are congruent.11d. Yes, the triangle is scalene; no two sides are congruent ifno two angles are congruent.

Guided Problem Solving 7-31. Determine the measure of �E. 2. m�A � 31º; m�B �93º; m�D � 60º 3. 180º 4. 124º 5. 56º; 56º 6. 116º 7. 64º 8. The sum of the angles of a triangle is 180º. 9. 32º

Practice 7-4 1. rhombus; irregular 2. octagon; irregular 3. hexagon;regular 4. parallelogram, rectangle; rectangle 5. parallelogram,rhombus; rhombus 6. trapezoid; trapezoid 7–9. Sample answers are given:7.

8.

9.

10. Check students’ answers. Sample answer: /P is a right angle.

Guided Problem Solving 7-41. Determine whether a quadrilateral can be both a rhombusand a rectangle. 2. quadrilateral, rhombus, and rectangle 3. A quadrilateral is a polygon that has 4 sides. 4. A rhombusis a parallelogram with 4 congruent sides. 5. A rectangle is aparallelogram with 4 right angles. 6. yes 7. A square is arhombus because it has four congruent sides. It is a rectanglebecause it has four right angles. 8. No. A figure can have fourcongruent sides without having four right angles..

Practice 7-5 1. Congruent, because all corresponding angles and correspondingsides are congruent. 2. Congruent, because all correspondingangles and corresponding sides are congruent. 3. Not congruent,because corresponding sides are not congruent. 4. nNLM5. nFED 6. nRTS 7. > , > , > ,/A > /D, /B > /E, /C > /F 8. > , > ,

> , /J > /M, /K > /N, /L > /O 9a. /FED9b. 9c. /A

Guided Problem Solving 7-51. Determine whether triangles GHI and JKL are congruent.2. Corresponding parts have to be congruent. 3. Correspondingangles are congruent. 4. nothing 5. no 6. Since it is not knownif the corresponding sides are congruent, it is unknown if thetriangles are congruent. 7. Yes, because all corresponding partsare congruent.

Practice 7-6 1. , 2. , , 3. 4. /MOP 5. 6. , 7. 8. 9. , , 10. ,

, 11.

Guided Problem Solving 7-61. Determine whether a radius can also be a chord. 2. radius,chord 3. A radius is a segment that connects the center of acircle to the circle. 4. One is on the circle and the other is onthe center of the circle. 5. A chord is a segment that has bothendpoints on the circle. 6. no 7. A radius cannot be a chordbecause one of the endpoints of a radius is the center and is noton the circle. 8. Yes, because both endpoints of the diameterare on the circle.

QA

B

C

X

ZXY1

XYZ1

XZY1

XZ0

ZY0

XY0

NQMNNQ0

MR0

MRN1

MNOQOPOMPQRN

FEMOJL

NOKLMNJKDFACEFBCDEAB

45°135°

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Practice 7-7 1. Successful United States Space Launches 1957�1995

2. Tuition Categories for Private Schools

3. Car Color Preference of Seventh-Grade Class

3a. 33 % 3b. 3.7% 3c. 85.2% 3d. 88.9%

Guided Problem Solving 7-71. Use the table to make a circle graph. 2. 25 3. � ;

n � 158.4º 4. � ; n � 72º 5. � ; n � 72º

6. � ; n � 28.8º 7. � ; n � 28.8º

8. 9. Yes 10.

Practice 7-8 1–6. Check students’ constructions. 7. 5 in. 8. 9 mm 9. 4 cm10. 6 yd

Guided Problem Solving 7-81. 2 times 2. congruent segment; perpendicular bisector3–8. Check students’ constructions. 9. 10 in.; yes 10. Checkstudents’ constructions.

Chapter 7A Graphic Organizer1. Geometry 2. 8 3. Drawing a Picture 4. Check students’diagrams.

Chapter 7B Reading Comprehension1. housing 2. medical 3. Each of the three categoriesaccounts for 5% of the income spent. 4. 100% 5. $2,400 �15% = $360 6. $1,900 � 3 5% = $95 7. 7% of the monthlybudget is $60. The monthly income is $857.14. 8. b

Chapter 7C Reading/Writing Math Symbols1. H 2. D 3. G 4. B 5. E 6. A 7. F 8. C 9. The measureof angle B is 80 degrees. 10. Triangle ABC is congruent totriangle HIJ. 11. Angle XYZ is congruent to angle MNP.12. The length of segment BC is 4. 13. Segment DJ iscongruent to segment KL. 14. The length of segment DJ isequal to the length of segment KL. 15. The measure of angleP is equal to the measure of angle R. 16. The length ofsegment BC is one-half the length of segment TU.

Chapter 7D Visual Vocabulary Practice1. midpoint 2. obtuse angle 3. hexagon 4. adjacent angles5. chord 6. right triangle 7. pentagon 8. equilateral triangle9. perpendicular bisector



O B T U SUP O I N TDIMPLE C A

NGLE

G O NI S O S C

RIC O N G R U

CA

TE

E N T

LE L E S

T R A P E Z O I DERSEC O M P A S S

CALENE R T

NEMELPMOC

ARY

E XV

TING U L A RER

DMENTAR DOHC

ER

TA R CNGLE Q U I L

ANE N T A G O NP

PA T E R A L

Y

E

12

Students

10

35

15

28

SportsBandStudent CouncilHorticultureClubs

Student Volunteersper Week

Day 5

Day 4

Day3

Day 2

Day1

n360

225

n360

225

n360

525

n360

525

n360

1125

13

Red

BlueWhite

Green

$500–$1,000 Less

than$500

$1,501–$2,500

$1,001–$1,500

Morethan

$2,500

1960–1969

1957–1959

1990–1995

1980–1989

1970–1979

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Chapter 8Practice 8-1 1. Sample answer: 10 yd 2. Sample answer: 10 yd 3. Sampleanswer: 15 yd 4. Sample answer: 13 yd 5. 12 ft; a truck cab isquite tall 6. 8 in.; a book is not very wide 7. 8 in.; a pizza is notvery big 8. 2 ft; a bathtub is not very deep 9. Sample answer:about 9 cm2 10. Sample answer: about 19 cm2 11. Sampleanswer: about 12 cm2 12. Sample answer: about 20 cm2 13. ft14. in. 15. mi2

Guided Problem Solving 8-11. Explain how to use a piece of string to estimate the perimeterof the puzzle piece. 2. The perimeter of an object is the distancearound the object. 3. Wrap it around the puzzle piece. 4. Takethe length of string used and lay it beside a ruler. Read themeasurement from the ruler. 5. Because it is difficult to lay thestring out exactly around the puzzle piece. 6. Because it isdifficult to find the perimeter of the curves of the puzzle piecewith a ruler. 7. Sample answer: Estimate the length and width ofthe rectangular center. Calculate the area of the rectangle. Thepuzzle piece’s area will be more than the area of the rectangle.

Practice 8-2 1. 16 m2 2. 115 cm2 3. 32 in.2 4. 80 mm2 5. 192 mm2

6. 322 km2 7. 3,120 mi2 8. 285 in.2 9. 1, 6; 2, 3 10. 320 m2

11. 1,152 yd2; 136 yd 12. 17 ft2, 32 ft2, 45 ft2, 56 ft2, 65 ft2, 72 ft2,77 ft2, 80 ft2, 81 ft2

Guided Problem Solving 8-21. Estimate the area of Tennessee from the map shown. 2. aparallelogram 3. Use the formula A � bh where b is the baseand h is the height. 4. 110 mi 5. 380 mi 6. A � 110 ? 380 7. 41,800 mi2 8. More; the southeast corner of Tennessee doesnot fill the parallelogram completely, so the estimate is morethan the actual area. 9. 21,875 ft2

Practice 8-3 1. 8.2 ft 2. 23.9 in. 3. 34.6 cm 4. 416 ft 5. 299 cm2 6. 59.22 mi2

7. 26.8 km2 8. 1,325 yd2 9. 4, 4, 4; 5, 5, 2; 3, 3, 6; 2, 2, 8; 1, 1, 1010. Area: 12.7 m2; perimeter: 16.2 m

Guided Problem Solving 8-31. Find the perimeter of the rhombus. 2. Measure the lengthof each side and add the lengths together. 3. An equilateraltriangle is a triangle whose sides are all equal lengths. 4. Checkstudents’ answers. 5. Check students’ answers. 6. Checkstudents’ answers. 7. 24 in. 8. 4 � 6 in. � 24 in.; yes 9. 20 in.

Practice 8-4 1. 135 ft2 2. 199.82 mm2 3. 240 in.2 4. 96.25 mi2 5. 88 m2

6. 144 in.2 7. 1,001 ft2 8. 86 cm2 9. 2,848 m2 10a. 1,125 cm2

10b. 2,475 cm2 11. 1, 7; 2, 6; 3, 5; 4, 4

Guided Problem Solving 8-41. 17 in. long; 39 in. long; 16 in. 2. Find the area of the dulcimer.3. Use the formula A � h(b1 � b2). 4. 16 in. 5. 17 in. and39 in. 6. A � (16)(39 � 17) 7. 448 in.2 8. The bases are theparallel sides. 9. A � (16)(20 � 36) � 448 in.2; they are equalbecause 17 � 39 � 20 � 36 � 56.

Practice 8-5 1. 9.4 in.; 7.1 in.2 2. 12.6 m; 12.6 m2 3. 22.0 ft; 38.5 ft2

4. 37.7 km; 113.1 km2 5. 25.1 mi; 50.3 mi2 6. 94.2 in.;706.9 in.2 7. 98.0 m; 764.5 m2 8. 53.4 yd; 227.0 yd2 9. 52.8 m;221.7 m2 10. 12.7 km 11. 14.6 ft 12. 66.8 in. 13. 192 in.2

Guided Problem Solving 8-51. 60 in.; circumference; area 2.3. Find the circumference and areaof the front wheel of a high-wheelbicycle. 4. 60 in. 5. 30 in. 6. Usethe formula C � 2πr. 7. 188.5 in.8. Use the formula A � πr2.9. 2,827.4 in.2 10. Divide the area by π and find the square root;divide the circumference by 2π. 11. C � 75.4 in.; A � 452.4 in.2

Practice 8-6 1. 8 2. 9 3. 10 4. 11 5. 1 6. 6 7. 5 8. 4 9. 16 10. 1411. 7 12. 15 13. rational 14. irrational 15. rational 16. rational 17. rational, integer, whole 18. irrational 19. 8 km20. 9 m 21. 11 ft 22. 15 in. 23. 14 yd 24. 13 cm 25. 0 or 326. 56 yd 27. 8, 9 28. 7, 8 29. 11, 12 30. 8, 9 31. 13, 1432. 14, 15

Guided Problem Solving 8-61. Write three irrational numbers between 4 and 5. 2. Anirrational number is a number that cannot be written as a ratioof two integers. As decimals, irrational numbers neitherterminate nor repeat. 3. 16; 25; Sample answer:4. Sample answer: 4.12112111211112… 5. Sample answers:

, 4.71771777177771… 6. infinitely many 7. yes; no; no8. Sample answers: , 2.30330333033330…, 2.52552555255552…

Practice 8-7 1. 13 ft 2. 15.8 cm 3. 12.1 m 4. x � 22 cm 5. x � 51 in.6. x � 16 ft 7. x � 25 m 8. x � 111 yd 9. x � 18 mi 10. x � 23.0 m 11. x � 39.8 ft 12. x � 12.6 mi 13. 70.7 yd14. 67.4 ft

Guided Problem Solving 8-71. 26 ft; 24 ft; height 2. Find the height of the pole.3. 4. a2 � b2 � c2 5. c 6. a or b

7. 10 ft 8. 102 � 242 � 262; yes 9. 8 in.

26 ft

24 ft

h

!5!19

!17

12

12

12

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Practice 8-8 1. triangle; triangular prism 2. circle; cylinder 3. hexagon;hexagonal pyramid 4. circle; cone 5. rectangle or square;rectangular or square pyramid 6. rectangle; rectangular prism7. 8.

9. 10.

Guided Problem Solving 8-81. Find the total area of all the faces of the figure. 2. 3 3. 2 4. A � lw 5. A � bh 6. b � 2 m; h � 3.5 m 7. 3.5 m2

8. 7 m2 9. 2 m � 6 m; 6 m � 4 m; 6 m � 3.5 m 10. 12 m2;24 m2; 21 m2 11. 64 m2 12. yes; 5 13. 642 in.2

Practice 8-9 1. 594 cm2 2. 418 m2 3. 3,150 in.2 4. 157 mm2 5. 628 ft2

6. 730 cm2 7. 108 in.2 8. 138 m2

9. 10.

Guided Problem Solving 8-91. Find the surface area of the bar of soap. 2. Round it to thenearest tenth of a centimeter. 3. Add the areas of the twocircular faces to the area of the rectangular face. 4. A � πr2

5. 39.3 cm2 6. A � 2πrh 7. 31.4 cm2 8. 70.7 cm2 9. yes;yes 10. 207.3 in.2

Practice 8-10 1. 1,120 in.3 2. 640 ft3 3. 144 cm3 4. 42 in.3 5. 1,512 m3

6. 49,260 m3 7. 31 ft3 8. 1,680 mm3 9. 2,036 in.3 10. 70 cm11. 1.5 ft 12. 15 m

Guided Problem Solving 8-101. diameter is 203 ft; height is 25 ft; 1 gal < 231 in.3 2. Findhow many million gallons of water the tank holds. 3. Convertcubic inches to gallons. 4. V � πr2h 5. 809,136.8 ft3

6. 1,398,188,390 in.3 7. 6,052,763.6 gal 8. about 6 milliongallons 9. 5,634,782 gallons; yes 10. about 31 L

Chapter 8A Graphic Organizer1. Measurement 2. 10 3. Measuring to Solve 4. Checkstudents’ diagrams.

Chapter 8B Reading Comprehension1. the size of the Grand Canyon 2. about 10 million years 3. 277 miles long by 18 miles wide by one mile deep 4. 277miles � 18 miles = 4,986 square miles 5. 4,986 square miles 4113,000 square miles is approximately 4%. 6. The GrandCanyon is 18 miles wide at its widest point. Therefore, using 18miles as its width gives a maximum area. 7. 1 mile � 4,986square miles = 4,986 cubic miles 8. a

Chapter 8C Reading/Writing Math Symbols1. area 2. volume 3. length 4. area 5. length 6. volume 7. area of a triangle 8. volume of a rectangular prism 9. areaof a parallelogram, area of a rectangle 10. circumference of acircle (length) 11. area of a circle 12. area of a square 13. length of the hypotenuse of a right triangle 14. area of atrapezoid 15. volume of a cylinder 16. circumference of acircle (length)

Chapter 8D Visual Vocabulary Practice1. Pythagorean Theorem 2. prism 3. base 4. edges 5. cone6. vertices 7. pyramid 8. perfect square 9. circumference


Chapter 8F Vocabulary Review1. hypotenuse 2. parallel 3. solution 4. congruent 5. complementary 6. sphere 7. circumference 8. area 9. scalene 10. square 11. perfect square 12. pyramid 13. rate 14. cylinder

Chapter 9Practice 9-1 1.

2. about $42,000 3. Check students’ answers.

100

80

60

40

20

400 80 120 160 200

Writable CDs

Pri

ce (

$)

Number of CDs

8

3 in. 5 5

5

5

9

7

7

12

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4. 5. About 608F

Guided Problem Solving 9-11. Describe what a graph looks like when both sets of valuesincrease. 2. the values of the variables shown on the graph’shorizontal and vertical axes 3. farther to the right 4. farther up5. Points farther to the right are located higher up on thecoordinate plane. 6. Sample answer: Distance and time; as timeincreases, the distance also increases. 7. Sample answer: Pointsfarther to the right are located lower on the coordinate plane.

Practice 9-2 1. geometric; start with 2 and multiply by 3 repeatedly 2. geometric; start with 5 and multiply by –2 repeatedly 3. arithmetic; start with 3 and add 2 repeatedly 4. neither 5. neither 6. arithmetic; start with 17 and add –1 repeatedly7. geometric; start with 50 and multiply by –1 repeatedly 8. neither 9. 11, �10, 9 10. 9, 3, 1 11. 54, 110, 222; or 47, 75, 110 12. 20, 27, 35 13. 2, �6, 18, �54, 162; geometric14. 27, 18, 9, 0, �9; arithmetic 15. 18, 1.8, 0.36, 0.108, 0.0432;neither

Guided Problem Solving 9-21. A conjecture is a prediction that suggests what you expectwill happen. 2. After 4 months of training, he will be able to runan 8-minute mile. 3. Determine whether Mario’s conjecture iscorrect. 4. 8 min 45 s 5. 8 min 30 s; 8 min 15 s; 8 min 6. yes7. Sample answer: Start with 8 minutes and add 15 s each month.See if after 4 months the total time is 9 min. 8. After 6 monthsLinda can walk a mile in 11 min. Her conjecture is not valid.

Practice 9-3 1. 40 2. 1 3. n � 34; 134 4. 2n � 6; 206 5. m � 8; n � 306. p � 6; q � 37 7a.

7b. 3n � 2

7c. 242 8. 6n; 120 9. 3n; 60 10.

Guided Problem Solving 9-31. the second row 2. the cost of a 0.5-h lesson 3. Determinethe cost for 1-h, 1.5-h, and 2-h lessons. 4. $12.50 5. 1 � 0.5 � 26. $25.00 7. $12.50 8. $37.50 9. $50.00 10. For the cost for1 hour, multiply $12.50 by 2. For the cost for 1.5 hours, multiply$12.50 by 3. For the cost for 2 hours, multiply $12.50 by 4.11.

Practice 9-4 1. 2; 4; 6; 8 2. 5; 6; 7; 8 3. 0; 3; 8; 15 4. �2; �4; �6; �8 5. 4; 7; 10; 13 6. 5; 2; �1; �4 7. 10; 14; 18; 22 8. �4; �3;�2; �1 9. 9; 11; 13; 15 10. y � x � 5 11. y � 4x 12. y

� �3x � 3 13. y � 2x � 3 14. y � 3x � 1 15. y � �2x � 116a. y � 45x 16b. 1,125 words 16c. 445 minutes

Guided Problem Solving 9-41. A function rule tells you what to do to the input in order toget the output. 2. Write a function rule for the amount of moneyyou put in your piggy bank on any given day of July. 3. the daysin July 4. the amount of money you put in your piggy bank5. n 6. $.50 is half of $1; $1 is half of $2 7. Multiply by 0.5.8. a � 0.5n 9. 0.50(1) � 0.50, 0.50(2) � 1.00, 0.50(3) � 1.5010. a � 0.1n

Practice 9-5 1. 60 mi/h 2. yes 3. d � 60t4. Sample answer:

5. 6.

7a. y � x 7b. 32 mi

Guided Problem Solving 9-51. Write a rule for the function represented by the table.2. 362 mi 3. 181 mi 4. hours; distance 5. d � 181t6. 181(2) � 362, 181(4) � 724, 181(6) � 1,086 7. d � 17,500t

23

y

x5O

5y

x

5

5O

Input Output

1 60

2 120

3 180

4 240

5 300

6 360

Time (h) 0.5 1 1.5 2

Cost ($) 15.75 31.50 47.25 63.00

Weight (lb) 1 2 3 4Cost ($) 2.39 4.78 7.17 9.56

Figure Number 1 2 3 4 5

Number of Squares 5 8 11 14 17

90

80

70

60

50

20 40 60 80 1000

Average MonthlyTemperatures

July

tem

pera

ture

(�F

)

January temperature (�F)

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Practice 9-6 1. II 2. V 3. IV 4. I 5. III 6. VI 7–8. Sample graphs are shown.7. 8.

Guided Problem Solving 9-61. The rate of pouring sand stays constant. 2. Determine whichgraph best represents the relationship between the height of thesand and the amount poured. 3. The base and the top are smallerthan the middle of the bowl. 4. A cylinder has a constantdiameter whereas a bowl does not. 5. No, the height will risemore slowly at the bowl’s widest point. 6. graph A 7. Sincethe height of the sand does not rise at a constant rate, it cannot begraph B. 8. graph B, because the height rises at a constant rate

Practice 9-7 1–3. Sample graphs are shown.1. 2.

3.

4. $40 5. $2,000 6. $3.75 7. $5,312.50 8. $1,351.589. $6,320.63 10. $5,435.39 11. $729.30 12. $4,024.39 13. 4%

Guided Problem Solving 9-71. interest that is paid on both the original principal plus anyother interest on the principal 2. Find how much you oweafter 6 months. 3. B � p(1 � r)2 4. $500 5. 18% 6. year7. B � 500(1 � 0.18) 8. $543.14 9. $45; $545; Thisnumber should be close to the amount owed with compoundinterest because little time has passed since the principal wasborrowed. 10. $1,173.63

Practice 9-8 1. r � 2. s � 3. C � K � 273 4. n �

5. a � 3m � b � c 6. b � � h 7. B � 8. l � 8

9. F � 77 10. m � 12 11. 5.7h 12. 1,811 sq. ft

Guided Problem Solving 9-81. N � 7lh; 980 bricks are used; 20 ft long 2. Find the heightof the wall. 3. feet 4. N � 7lh 5. 980 bricks 6. 20 feet 7. 980 � 7(20)h 8. h � 7 9. 7 feet 10. 980 � 7(20)(7);980 � 980; yes 11. 204 beats per minute

Chapter 9A Graphic Organizer1. Patterns and Rules 2. 8 3. Estimating the Answer 4. Check students’ diagrams.

Chapter 9B Reading Comprehension1. the amount of money earned by the top 5 movies of theweekend 2. 370.4 million 3. The movie brought in less moneythis week than last week. 4. The movie has only played for oneweek. 5. movie E 6. movie A 7. $370.4 million � 6 weeks =$61.7 million 8. b

Chapter 9C Reading/Writing Math Symbols1. x is less than or equal to three. 2. The length of segmentMN is equal to three. 3. y is equal to three times x. 4. Thequantity 4 plus negative 7 is equal to negative 3. 5. The ratio offour to five is equivalent to the ratio of eight to ten. 6. TriangleEFG is congruent to triangle KLM. 7. x is greater than three.8. Segments MN and AB are congruent. 9. Sixty percent isequal to 60 divided by 100. 10. Five squared equals twenty-five.11. Triangle EFG is similar to triangle KLM. 12. The squareroot of 17 is approximately equal to four. 13. y is equal to four morethan x. 14. Three divided by five is not equal to four dividedby six.

Chapter 9D Visual Vocabulary Practice1. property 2. measure 3. classify 4. dimensions 5. abbreviate6. symbolize 7. name 8. rule 9. acronym


Chapter 9F Vocabulary Review PuzzleY R A T N E M E L P M O C I P I A U D

B X T F Q X E L A P I C N I R P B Y L

F S N Y E Q D P C O N J E C T U R E X

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Chapter 10Practice 10-1 1. L 2. F 3. D 4. B 5. I 6. C 7. (�5, 0) 8. (2, 7) 9. (�2, �7) 10. (8, �8) 11. (0, 7) 12. (4, 2) 13. II 14. I15. IV 16. III 17–21. Check students’ answers.

Guided Problem Solving 10-11. Explain how to tell in which quadrant an ordered pair islocated. 2. There are four quadrants; I, II, III, and IV. 3. Boththe x- and y-coordinates are positive. 4. The x-coordinates arenegative and the y-coordinates are positive. 5. Both the x- andy-coordinates are negative. 6. The x-coordinates are positiveand the y-coordinates are negative. 7. yes 8. If you changethe x-coordinate to �3, the point will be in Quadrant II. If youmake both 3 and 5 negative, the point will be in Quadrant III.If you change the y-coordinate to �5, the point will be inQuadrant IV.

Practice 10-2 1. yes 2. no 3. yes 4. no 5. Sample answers: (0, 5), (1, 6),(2, 7) 6. Sample answers: (0, 7), (1, 6), (2, 5) 7. Sample answers: (0, �1), (1, 1), (2, 3) 8. 9.

10. 11. II and IV 12. (�1, 1)

Guided Problem Solving 10-21. No, the question asks what error the student made, so thesolution is wrong. 2. �3(�1) � 2 3. �3(�1) � 2 � 3 � 2 � 14. yes; �5 5. Sample answer: The student probably multiplied�3(�1) incorrectly and got �3 as an answer. 6. Sampleanswer: �5 � �3x � 2; x � 1; the student may have lost track ofthe negative signs when dividing both sides by �3. 7. Sampleanswer: The student simplified 4 � 5 incorrectly, getting a valueof �9 instead of �1.

Practice 10-3 1. 2 2. � 3. � 4. 5. 6. 2 7.

8. 9.

Guided Problem Solving 10-31. Explain why 3 is not the correct slope. 2. Slope � rise/run3. 4. 1 5. �3 6. �3 7. 3

8. Sample answer: the student probably forgot to put thenegative sign in front of the rise. 9. rise � 3; run � �1 10. �3; yes 11. The line slants up from left to right, so theslope should be positive 2.

Practice 10-4 1. B 2. F 3. E 4. C 5. D 6. A 7a.

7b. 7c. Same shape, but its minimum y-value is 2 instead of 0.

Guided Problem Solving 10-41. time in seconds; height in feet above the ground 2. parabola 3.

4. 5. Estimates may vary; about 9,700

6. about 9,700 ft 7. 9,696 ft; yes.

12,000

10,000

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6,000

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8. about 130 feet

Practice 10-5 1. (2, 2) 2. (�4, �4) 3. (1, 3) 4. A (4, 1), B (6, 5), C (9, 4), D (7, �1)

5. A (0, 0), B (2, 4), C (5, 3), D (3, �2)

6. (x, y) S (x � 4, y � 4) 7. (x, y) S (x � 4, y � 2)

Guided Problem Solving 10-51. Find the new coordinates for the airplanes and write a ruleto describe how the planes move. 2. The change in thecoordinates of airplane P will be the same for the other planes.3. (2, 4) 4. 4 5. 3 6. (�1, 4) 7. (2, 1) 8. (x, y) S(x � 4, y � 3) 9. Yes; all three planes move the same distancein the same direction, so their formation stays the same.10. R� (0, 0), S� (4, 0), (x, y) S (x � 2, y � 3)

Practice 10-6 1. M, J 2. K, N 3. Sample answer: They are not the samedistance from the y-axis. 4–6. 4. (�5, �1)5. (�1, �5)6. (6, �2)7.

8. none

9. 10.

11–15.11. (3, 4) 12. (�4, 2) 13. (2, �2) 14. (0, �3) 15. (�4, �6)

Guided Problem Solving 10-61. Determine over which axis �WXY is reflected. 2. Graph thetwo triangles on a coordinate plane. 3.4. The x-coordinates of both trianglesare the same. 5. The y-coordinates of�WXY are opposite of the y-coordinatesof W�X�Y�. 6. x-axis 7. x-axis 8. yes9. y-axis; the x-coordinates werechanged to their opposites.

Practice 10-7 1–4. Check students’ answers. 1. yes 2. yes 3. no 4. yes5. 6.

7. 8.

9. translation 10. reflection or rotation 11. reflection orrotation 12. reflection or rotation

Guided Problem Solving 10-71. Determine by what rotation the points move and determineif the square has rotational symmetry. 2. If a figure hasrotational symmetry, it can be rotated less than 360° and fitexactly on top of the original figure. 3. 90° 4. 180° 5. 270°6. yes 7. yes 8. yes 9. 180°; 180° 9b. Yes; the figure canbe rotated 180° and fit exactly on top of the original figure.

Chapter 10A Graphic Organizer1. Graphing in the Coordinate Plane 2. 7 3. Answering theQuestion Asked 4. Check students’ diagrams

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Chapter 10B Reading Comprehension1. A6 or A7 2. H3 3. Des Moines 4. San Antonio and Austin5. It has coordinates C3. 6. 3 7. b

Chapter 10C Reading/Writing Math Symbols1. The measure of angle A is 47 degrees. 2. point M withcoordinates (–2, 0) 3. y equals the sum of 4 and the product of8 and x. 4. Point P, located at (3, 4) maps under a transformationto point P, located at (5, 2). 5. The point (x, y) is translated 2units to the left and 1 unit up. 6. The point (x, y) has both x- andy-coordinates greater than zero. 7. A line passes through pointC, located at (1, 2), and has a slope of one half. 8. and

9. , , and 10. 11. �ACE, �ECD, and�ACD 12. and

Chapter 10D Visual Vocabulary Practice1. origin 2. y-coordinate 3. linear equation 4. coordinateplane 5. reflection 6. translation 7. slope 8. x-coordinate9. nonlinear equation


Chapter 10F Vocabulary Review1. E 2. B 3. A 4. C 5. D 6. G 7. F 8. L 9. N 10. M11. K 12. J 13. I 14. H 15. O

Chapter 11Practice 11-1 1.

2. a student 3. 3 students 4. 13 students 5. 80 and 85,75 and 90 6. No; the interval includes 2–2.75 h. 7. 10 students 8.

Guided Problem Solving 11-11. the number of books purchased 2. the number of customerswho bought a certain number of books 3. columns 4, 5, and 64. 1 customer 5. 1 customer 6. 2 customers 7. 4 customers8. The expression more than 3 does not include 3.9. 8 customers

Practice 11-2 1. 125 2. C2 3. 51 tickets 4. Friday had the greatest overallattendance, but Saturday had the greatest number of adults inattendance.5.

6.

Guided Problem Solving 11-21. frequency tables, line plots, histograms, Venn diagrams,spreadsheets, bar graphs, double bar graphs, line graphs, anddouble line graphs 2. spreadsheet, bar graph, line graph, doublebar graph, and double line graph 3. line graph 4. Sampleanswer: increase of weight over time, increase of height over time5. Sample answer: weight in pounds, height in inches; days,weeks, months, years 6. Check students’ answers. 7. Checkstudents’ answers. 8. Check students’ answers; A double bargraph would allow Olivia to compare preferences for each grade.

Practice 11-3 1. 10 2. 52 3. 88 4. 6 games 5.

6. 85 7. 10 8. 81.8 9. The most effective data display choiceis the double line graph because it shows that the number ofDVDs bought is consistently greater than the number of videocassettes bought.

6 0 87 3 88 3 5 59 2 5 9

6 0 means 60.

Extracurricular Sports

basketball

20

volleyball

Number of Students

boysgirls

30 40 5010

soccer

Students Taking aForeign Language

Num

ber

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tude

nts

80

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60

40

Year'91 '92 '93

girlsboys

20

Hours Spent Doing Homework

Fre

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Guided Problem Solving 11-31. The heights of the female and male students. 2. Determinehow many males are 65 in. tall.3., 6., 7. 4. ones place

5. tens place 8. 2 9. 56 in., 57 in., 62 in., 63 in., 65 in., 65 in.,66 in., 67 in., 69 in., 71 in., 72 in., 73 in., 74 in., 76 in.; two 10. 4

Practice 11-4 1. random sample;The selected students represent the population.2. not a random sample; Students that use the vending machinemay not represent all types of students. 3. fair 4. biased; Doyou prefer hardwood floors in your home? 5. fair 6. biased;How many servings of fruits and vegetables do you eat? 7. biased;Do you prefer thick carpeting? 8. fair 9. biased; Do you readthe newspaper? 10. biased; Does TV news portray life accurately?

Guided Problem Solving 11-41. In a random sample, each member of a population has anequal chance of being selected. 2. Determine whether thissampling method is random. 3. people who visit YosemiteNational Park 4. yes 5. Yes; each person has an equal chanceof being surveyed. 6. Sample answer: Survey visitors as theyleave the park. 7. No, this is not a random sample. People whoare not parents might also eat at the snack shack.

Practice 11-5 1. 40 2. 1,968 3. 948 4. 4,410 5. 585 6. 158 7. 435 animals8. 625 animals 9. 1,450 animals 10. 1,260 animals 11. 2,075animals 12. 4,033 animals 13. 151 animals 14. 2,357 animals15. 4,109 ducks 16. 1,744 alligators

Guided Problem Solving 11-51. Find the error and make a correct estimate. 2. 3. 25sharks; 8 sharks 4. 5. � 6. The 8 and 25 are reversed.7. about 119 sharks 8. He captured 38 to begin with, so heknew there had to be more than 12 in the population.9. � ; 96 jackrabbits; yes

Practice 11-6 1. 2.

3. The first graph because it reinforces the need for additionaltime for swim class. 4. mean: 88; median: 89, mode: 83 5. Themedian is the highest measure of his scores. 6. The mode isthe lowest measure of his scores.

Guided Problem Solving 11-61. 97% of its customers are satisfied. 2. Determine whetherthis statement is misleading and then explain. 3. 200 4. 100 5. no 6. 100 7. Yes, because the statement implies that itrepresents all of the data. 8. 48.5% 9. The statement doesnot include those students who scored at the advanced level. Itimplies that only 30% of the students passed the test.

Practice 11-7 1. Positive trend; as a person grows taller, his or her foot getslarger. 2. Positive trend; generally as a child gets older, his orher allowance increases. 3. No trend; the distance one livesfrom school is not related to the length of the day. 4. Negativetrend; as a child grows older, he or she needs less sleep.5. yes; positive trend

6. no trend 7. negative 8. positive

Guided Problem Solving 11-71. the number of people on the beach and the temperature 2. Determine which scatter plot most likely represents Carmella’sdata. 3. The hotter it gets, the fewer people go to the beach.4. It does not matter how hot it is. People go to the beach forvarious reasons. 5. The hotter it gets, the more people go to thebeach. 6. choice C 7. Sample answer:The most likely choice is C,because people like to go to the beach when its hot. 8. ChoiceB, because whatever the temperature, people always go to the mall.

Chapter 11A Graphic Organizer1. Displaying and Analyzing Data 2. 7 3. Interpreting Data4. Check students’ diagrams.

Hours of Practice76 8 9 10 11 12 13

1234567

Fre

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s

Num

ber

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tude

nts

500

300

100

Year

Swim Class Enrollment

2001 2002 2003

boysgirls200

400

Num

ber

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tude

nts

390

370

350

Year

Swim Class Enrollment

2001 2002 2003

boysgirls360

380

400410420

412

32x

38x

825

825

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7 4 3 1 0 0

8 5 4 1 0

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Student Height (in.)

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Chapter 11B Reading Comprehension1. Electronic Numerical Integrator and Calculator 2. about 62years ago 3. 5,000 4. 500,000,000 5. 1,800 ft2 6. approximately60,000 lb 7. about 20,000 times 8. microprocessors composedof transistors 9. b

Chapter 11C Reading/Writing Math Symbols1. The bar means the 3 repeats indefinitely. 2. The bar meanssubtraction. 3. The bar indicates a line segment. 4. The barmeans the 7 is negative. 5. The bar is a fraction bar separatingthe numerator from the denominator; it means “divided by.”6. equals 7. is less than or equal to 8. is congruent to 9. arethe two quantities equal? 10. is not equal to 11. absolute value12. parallel

Chapter 11D Visual Vocabulary Practice1. no trend 2. frequency table 3. population 4. histogram 5. line plot 6. double bar graph 7. biased question 8. negativetrend 9. sample


Chapter 11F Vocabulary Review1. reflection 2. x 3. vertical 4. line plot 5. bar 6. median7. range 8. scatter plot 9. arithmetic 10. principal 11. surfacearea 12. circumference 13. square root 14. bisector

Chapter 12Practice 12-1 1. ; 0.1; 10% 2. ; 0.5; 50% 3. 1; 1.0; 100% 4. ; 0.2; 20%5. or 34.8% 6. or 26.1% 7. Add a marble that is not blue.8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18.

Guided Problem Solving 12-11. E is the complement of not E. 2. 1 3. Part a gives theprobability of E as a decimal. Part b gives the probability ofnot E as a percent. 4. 0.3 � P (not E) � 1 5. P (not E) � 0.7 6. 0.65 7. P(E) � 0.65 � 1 8. P(E) � 0.35 9. For Part a, add0.3 and 0.7 to make sure the answer is 1. For Part b, add 0.35and 0.65 to make sure the answer is 1. 10.

Practice 12-2 1. 2. 3. 4. 5. 0 6. 7. 32% 8. 8% 9. 12% 10. 20% 11. 68% 12. 36% 13. Check students’ answers.14. 60% 15. about 75 boys 16a. 8.7% 16b. 457 answers16c. 52 sweaters

Guided Problem Solving 12-21. It means a person cannot see certain colors. 2. Find howmany males out of 1,000 will be colorblind. 3. 80 4. 80 males5. Sample answer: Not necessarily; the 8% colorblind is basedon experimental results.The results of other experiments may differ.6. Sample answer: Use a proportion; � 7. 55 people

Practice 12-3 1. or 10%

2a. 2b. 3. 12 kinds 4. 9 5. 6. 7.

8.

Guided Problem Solving 12-31. Four suit jackets; four dress shirts 2. Divide the number ofoutcomes wanted by the total number of possible outcomes. 3. 44. 4 5. 16 6. 4 7. 12 8. or 9. Use a tree diagram.10. a. 12; b. or

Practice 12-4 1. 2. � 3. 4. 5. 6. 0 7. 8.

9. 10. 11. 12. 13. 14. 0 15. 16.

Guided Problem Solving 12-41. Disjoint events have no outcomes in common. 2. Find theprobability of selecting an even or prime number between 21and 30. 3. because there are no even prime numbers besides 24. 10 5. 22, 24, 26, 28, 30; 5 6. � 7. 23, 29; 2 8. �

9. 10. ; 0.7; 70% 11.

Practice 12-5 1. 120 2. 720 3. 40,320 4. 5!; 120 5. 4!; 24 6. 6!; 720 7. 24 8. 60 9. 120 10. 362,880 11. 5,040 12. 720 13. 336ways 14. 45 outfits 15. 6 arrangements 16. 12 ways

Guided Problem Solving 12-51. 15 employees; three different jobs 2. Find the number ofways that the jobs can be assigned. 3. A permutation is anarrangement of objects in a particular order. 4. 15 people 5. 14 people 6. 13 people 7. 2,730 8. There are not 15 jobsfor 15 people; there are only 3 jobs for 15 people. 9. 73,440 ways

23

710

710

15

210

12

510

15

15

120

14

1100

833

833

111

1433

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136

136

113

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312

34

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127

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T

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T

HTHTHTHT

1 2 3 4 5 6 7 8 9 10A A1 A2 A3 A4 A5 A6 A7 A8 A9 A10B B1 B2 B3 B4 B5 B6 B7 B8 B9 B10C C1 C2 C3 C4 C5 C6 C7 C8 C9 C10D D1 D2 D3 D4 D5 D6 D7 D8 D9 D10E E1 E2 E3 E4 E5 E6 E7 E8 E9 E10F F1 F2 F3 F4 F5 F6 F7 F8 F9 F10G G1 G2 G3 G4 G5 G6 G7 G8 G9 G10H H1 H2 H3 H4 H5 H6 H7 H8 H9 H10

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Practice 12-6 1. 4 2. 15 3. 8,10; 8,12; 8,20; 10,12; 10,20; 12,20 4. 3, 5, 15 5. 8, 3; 8, 5; 8, 15; 10, 3; 10, 5; 10, 15; 12, 3; 12, 5; 12, 15; 20, 3; 20, 5;20, 15 6. 3, 5; 3, 8; 3, 10; 3, 12; 3, 15; 3, 20; 5, 8; 5, 10; 5, 12; 5, 15; 5,20; 8, 10; 8, 12; 8, 15; 8, 20; 10, 12; 10, 15; 10, 20; 12, 15; 12, 20; 15,20 7. 10 ways 8. 6 races 9. combinations 10. 4 combinationsof eight graders 11. 1 combination of seventh graders

Guided Problem Solving 12-61. 5 different CDs; 3 CDs 2. Find the number of differentCD combinations for your CD player. 3. A combination is agrouping of objects in which the order of the objects does notmatter. 4. combinations � total number of permutations ÷number of permutations of selected group 5. 60 permutations6. 6 permutations 7. 10 combinations 8. 10 combinations9. 50 10. 28 combinations

Chapter 12A Graphic Organizer1. Using Probability 2. 6 3. Eliminating Answers 4. Checkstudents’ diagrams

Chapter 12B Reading Comprehension1. July 26 (evening)–August 2 2. July 26 3. 24°F 4. 20%, or 5. July 27 and July 29 6. 1 to 4 7. 3 to 2 8. a

Chapter 12C Reading/Writing Math Symbols1. the probability of event A occurring 2. the probability ofevent A not occurring 3. the probability of event A occurringand then event B occurring 4. 5 factorial, or 5 � 4 � 3 � 2 � 15. n factorial, or n � (n – 1) � (n – 2) � … � 1 6. the numberof ways n items can be selected r at a time, where order matters7. the number of ways n items can be selected r at a time, whereorder does not matter 8. the number of ways 9 items can beselected 4 at a time, where order does not matter 9. P(C) 10. P(odd) 11. P(D, then E) 12. 7! 13. 10C5 14. 6P3

Chapter 12D Visual Vocabulary Practice1. factorial 2. combinations 3. sample space 4. independentevents 5. outcome 6. counting principle 7. permutations 8. dependent events 9. complement


Chapter 12F Vocabulary Review PuzzleDI

E P E N D E N T

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3

5

1

6

11 12 P

8 C E9 10

4

13

7

15

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Chapter 1 Practice 1-5 Guided Problem Solving 1-1