The math lessons below have been selected from the resources of Teacher Created Resources. (Click on the advertisement above for a complete catalog of Teacher Created Resources teacher-ready activities.) The lessons are arranged by grade; scroll down to find lessons for your level. Answer keys are provided below for lessons that require them.

**Unusual Number Patterns** (multiplication, patterns, palindromes, puzzles)**ANSWERS:** (Page 132) 1. 1331; 2. 1661; 3. 2662; 4. 1881; 5. 1991; 6. 6. 2552; 7. 5995; 8. 3883; 9. 26862; 10. 268862; 11. 1356531; 12. 13688631; 13. 1551; 14. 15651; 15. 1368631; 16. 18981; 17. 135787531; 18. 48884; 19. 24442; 20. 1357997531. Extension: Answers will vary. (Page 133) Chart: 1; 121; 12321; 1234321; 123454321; 12345654321; 1234567654321; 123456787654321; 12345678987654321. Numbered examples: 1. Answers may vary. 2. Answers may vary. 3. Answers may vary. 4. 111,111,111; 5. 222,222,222; 6. 333,333,333; 7. 444,444,444; 8. 555,555,555; 9. 666,666,666; 10. 777,777,777; 11. 888,888,888; 12. 999,999,999; 13. A zero is added before the last digit. (Page 134) 1. 1600; 2. 1599; 3. 1596; 4. 1591; 5. 1584; 6. 1575; 7. 1564; 8. 1551; 9. 3600; 10. 3599; 11. 3596; 12. 3591; 13. 3584; 14. 3575; 15. 3564; 16. 3551; 17. given; 18. 31459, 126872, 278621, 405493; 19. 42176, 109300, 003901, 113201; 20. 54321, 66666, 66666, 133332. 21. - 24. Answers will vary.

**Telling Time: Computing Elapsed Time** (telling time - hours, minutes, seconds)**ANSWERS:** (Page 40) 1. 3 hr. 15 min. 2. 3 hr. 45 min. 3. 2 hr. 30 min. 4. 4 hr. 45 min. 5. 3 hr. 35 min, 6. 6 hr. 25 min. 7. 2 hr. 30 min, 8. 6 hr. 30 min. 9. 2 hr. 15 min. 10. 1 hr. 5 min. 11. 2 hr. 30 min. 12. 5 hr. 30 min. 13. 2 hr. 15 min. 14. 4 hr. 10 min. 15. 3 hr. 16. 8 hr. 17. 7 hr. 18. 7 hr. 30 min. 19. 13 hr. 20. 10 hr. 45 min. Challenge: 18 hr. 16 min.

**Prime Factors** (multiplication, prime numbers)**ANSWERS:** 1. 5, 2, 3; 2. 7, 2, 2; 3. 7, 2, 3; 4. 11, 2, 2; 5. 5, 2, 5; 6. 11. 2, 3; 7. 11, 7; 8. 7, 3, 3; 9. 3, 5; 10. 2, 3, 3; 11. 11, 2; 12. 2, 2, 3, 3; 13. 2, 2, 2; 14. 2, 2, 2, 2, 2; 15. 5, 5; 16. 5, 5, 5.

**Calendar Computations** (calendar, word problems)**ANSWERS:** (Page 88) 1. 31 2. January, March, May, July, August, October, December; 3. February, April, June, September, November; 4. 5; 5. 4; 6. 5; 7. Mondays, Tuesdays, Wednesdays; 8. 3; 9. 19th, Friday; 10. 25th, Thursday; 11. 14th, Wednesday; 12. 5th, Monday. (Page 89) 1. April, June, September, November; 2. 28th, Friday; 3. 20; 4. 10; 5. Monday the 3rd; 6. Friday the 28th; 7. April; 8. 10th, Wednesday; 9. Thursday; 10. 23rd, Tuesday; 11. Answer will vary. 12. No, because February never has 30 days. (Page 90) 1. February; 2. No, they are not leap years and not evenly divisible by 400. 3. March, 21st; 4. January, 4th; 5. March, 25th; 6. 60th; 7. 306; 8. 2 or 3; 9. 15 or 16; 10. 2400, It is the only century evenly divisible by 400. Dates: Wed.-1, Thur.-2, Fri.-3, Sat.-4.

**Roman Numerals** (Roman numerals)**ANSWERS:** (Page 88) 1. 1; 2. 4; 3. 6; 4. 10; 5. 3; 6. 5; 7. 8; 8. 12; 9. 7; 10. 9; 11. 15; 12. 13; 13. XXI; 14. XXII; 15. XXIII; 16. XXIV; 17. XXV; 18. XXVI; 19. XXVII; 20. XXVIII; 21. XXIX; 22. 30; 23. 26; 24. 33; 25. 35; 26. 29; 27. 38; 28. 39; 29. 34; 30. 37; 31. XLV; 32. XLIX; 33. XLVIII; 34. XLVII; 35. XVI; 36. XLVI; 37. XXVII; 38. XXXVII; 39. XXIX; 40. Answers will vary. 41. Answers will vary. 42. Answers will vary. (Page 89) 1. DI; 2. CIII; 3. CCCV; 4. LV; 5. LXXX; 6. LXXXIII; 7. CD; 8. IC; 9. LXVIII; 10. CC; 11. CI; 12. LXXV; 13. CIX; 14. CX; 15. CXI; 16. CXV; 17. CXXV; 18. CCX; 19. XL; 20. DC; 21. DCCC; 22. CCCXXXIII; 23. DLIII; 24. CMI; 25. 500; 26. 300; 27. 105; 28. 58; 29. 290; 30. 80; 31. 40; 32. 45; 33. 195; 34. 59; 35. 88; 36. 90; 37. 48; 38. 49; 39. 490. (Page 90) 1. 2000l 2. 2001; 3. 2005; 4. 1900; 5. 1800; 6. 1803; 7. 1912; 8. 1950; 9. 1983; 10. 1600; 11. 1718; 12. 1998; 13. MM; 14. MMI; 15. MMX; 16. MCM; 17. MCMLX; 18. MDCCC; 19. MCMX; 20. MCMXL; 21. MDCCCLXXXI; 22. MDCLIV; 23. MCDXCII; 24. MDLXXXVIII; 25. 5; 26. 10; 27. 50; 28. 100; 29. 500; 30. 1000; 31. 2000; 32. 300; 33. 1500; 34. 1700; 35. 3650; 36. 1666; 37. LXIII; 38. XCVII; 39. CC; 40. L.

**Number Sequences** (number sequence, Fibonacci sequence)**ANSWERS:** (Page 68) 1. (2, 4, 6, 8, 10, 12, 14, 16, 18); n + 2. 2. (1, 2, 3, 4, 5, 6, 7, 8, 9); n + 1. 3. (9, 13, 17, 21, 25, 29, 33, 37, 41); n + 4. 4. (6, 14, 22, 30, 38, 46, 54, 62, 70, 78); n + 8. 5. (5, 10, 15, 20, 25, 30, 35, 40, 45), n + 5. 6. (7, 10, 13, 16, 19, 22, 25, 28, 31); n + 3. 7. (40, 38, 36, 34, 32, 30, 28, 26); n - 2. 8. (132, 121, 110, 99, 88, 77, 66, 55); n - 11. 9. (98, 93, 88, 83, 78, 73, 68, 63, 58); n - 5. 10. (4, 10, 16, 22, 28, 34, 40, 46, 52); n + 6. 11. (1, 2, 4, 8, 16, 32, 64, 128, 256); n x 2. 12. (1, 3, 9, 27, 81, 243, 729, 2187); n x 3. 13. (3, 6, 12, 24, 48, 96, 192, 384); n x 2. 14. (1, 4, 16, 64, 256, 1024, 4096, 16384); n x 4. 15. (5, 15, 45, 135, 405, 1215, 3645); n x 3. 16. (1, 5, 25, 125, 625, 3125, 15625, 78125); n x 5. 17. (2048, 1024, 512, 256, 128, 64, 32, 16); n 2. (Page 69) 1. (2, 5, 11, 23, 47, 95, 191, 383); (n x 2) + 1. 2. (3, 10, 31, 94, 283, 850, 2551, 7654); (n x 3) + 1. 3. (1, 6, 26, 106, 426, 1706, 6826, 27306); (n x 4) + 2. 4. (1, 2, 7, 32, 157, 782, 3907, 19532, 97657);(n x 5) - 3. 5. (1, 4, 9, 16, 25, 36, 49, 64, 81); (counting numbers squared). 6. (1, 8, 36, 148, 596, 2388, 9556, 38228); (n x 4) + 4. 7. (4, 11, 32, 95, 284, 851, 2552, 7655); k (n x 3) - 1. 8. (1, 5, 33, 229, 1601, 11205, 78433, 549029); (n x 7) - 2. 9. (5, 13, 29, 61, 125, 253, 509, 1021); (n x 2) + 3. 10. (7, 15, 31, 63, 127, 255, 511, 1023, 2047); (n x 2) + 1. 11. (-10, -8, -5, -1, +4, +10, +17, +25, +34, +44); (add +2, +3, +4, etc.). 12. (27, 26, 24, 21, 17, 12, 6, -1, -9, -18, -28); (subtract 1, 2, 3, etc.). 13. (100, 90, 81, 73, 66, 60, 55, 51); (subtract 10, 9, 8, etc.). 14. (2, 3, 5, 7, 11, 13, 17, 19, 23, 29); (prime numbers). 15. (1, 8, 27, 64, 125, 216, 343, 512); (counting numbers cubed). 16. (-10, -5, +1, +8, +16, +25, +35, +46, +58); (add +5, +6, +7, etc.). 17. (-30, -20, -11, -3, +4, +10, +15, +19, +22, +24); (add +10, +9, +8, etc.). 18. (2, 5, 10, 17, 26, 37, 50, 65, 82, 101); (counting numbers squared +1). (Page 70) 1. (89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765); 2. 143; 3. 143; 4. (24, 39, 63, 102, 165), Sum: 429, Product: 11 x 39 = 429; 5. (56, 91, 147, 238, 385), Sum: 1001, Product: 11 x 91 = 1001; 6. (80, 130, 210, 340, 550), Sum: 1430, Product: 11 x 130 = 1430; 7. (45, 73, 118, 191, 309), Sum: 803, Product: 11 x 73 = 803; 8. (40, 65, 105, 170, 275), Sum: 715, Product: 11 x 65 = 715; 9. Answers will vary.

**Common Multiples** (lowest common multiples, lowest common denominators)**ANSWERS:** Answer key on page 140 (see work sheet).

**Mental Multiplication** (thinking about math)**ANSWERS:** 1. 832; 2. 1,080; 3. 700; 4. 960; 5. 922; 6. 1,150; 7. 2,300; 8. 1,755; 9. 4,200; 10. 2,900; 11. 1,900; 12. 3,350; 13. 3,400; 14. 3,900; 15. 2,200; 16. 1,550; 17. 1,200; 18. 2,300; 19. 600; 20. 2,050; 21. 189; 22. 288; 23. 558; 24. 387; 25. 504.

**Word Problems** (math review - all operations, skills, concepts)**ANSWERS:** (Pages 37-39) 1. 4 pieces. 2. 2 1/2 quarts; no. 3. $ 2.00. 4. a. $ .40, b. $ .50. 5. $609.44. 6. $417.30. 7. $90.62. 8. $19.33. 9. $56.55. 10. $1.26. 11. $0.04. 12. 16. 13. no; less (1/5). 14. Paul: $6.00, Todd: $7.25, Eli $5.00; total: $18.25. 15. $16.00; $32.00. 16. 12, 15, 3. 17. $31,250. 18. 35.95 inches. 19. 6 tries. 20. 489 divided by 6 equals 81 with a remainder of 3. He can sell 81 bunches, which would leave him 3 to sell at the regular price. 21. $6 per hour. 22. 35 lbs. per box. 23. 38 hours; $266. 24. b; $58. 25. d. 360 lbs. 26. 10 p.m. is 9 hours later. If the clock loses 3 minutes every hour, it will be 27 minutes behind or 9:33 p.m. when it is supposed to read 10 p.m. 27. Number of houses = $4,608/$256 per house = 18 houses. 28. $0.23 is spent on the peel. $1.80 - $0.23 = $1.57 on banana. 29. James spent $37.42; he saved $12.48. 30. Laurel paid $13.50 for the gift. Joey paid $9.00 for the gift.

**Probabilities** (probablity)**ANSWERS:** Answers will vary.

**Algebraic Expressions** (algebra, equations)

**Improper Fractions** (fractions, mixed fractions, number lines)**ANSWERS:** (Page 64) 1. 4/3; 2. 12/11; 3. 6/5; 4. 9/4; 5. 7/7; 6. 7/3; 7. 6/2; 8. 8/2; 9.10/4; 10. 1; 11. 3; 12. 2; 13. 7; 14. 6; 15. 4; 16. 3; 17. 5; 18. 2; 19. 10/5; 20. 9/3; 21. 8/2; 22. 5/1; 23. 12/3; 24. 8/2.

(Page 65) 1. 5/2; 2. =; 3. 6/2; 4. 5/2; 5. 6/2; 6. 11/4; 7. 6/2; 8. =; 9. 12/4; 10. =; 11. =; 12. 11/4; 13. 1 1/4; 14. 1 1/2; 15. 2 1/3; 16. 2 2/3; 17. 2 1/4; 18. 1 2/5; 19. 1 3/4; 20. 2 1/2; 21. 1 1/2. (Page 66) 1. 2 1/4; 2. 4 1/2; 3. 3 1/3; 4. 1 1/7; 5. 2 2/5; 6. 3 1/4; 7. 1 1/9; 8. 1 1/3; 9. 1 1/6; 10. 2 4/5; 11. 3 1/2; 12. 3 3/4; 13. 3 4/5; 14. 1 2/7; 15. 2 1/7; 16. 1 1/3; 17. 1 1/2; 18. 2 1/2; 19. 1 1/2; 20. 3 1/2 21. 1 1/4; 22. 1 2/5; 23. 1 1/3; 24. 1 2/3; 25. 1 1/2.

**Factorials** (factorials, problem solving)**ANSWERS:** (Page 32) Discuss and review students' responses. (Page 33) (Answers on the chart may be in different order.) RYBOG; RYBGO; RYOGB; RYOBG; ROYGB; ROYBG; ROGYB; ROGBY; ROBYG; ROBGY; 1. 120 possible arrangements; 2. 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720; 3. 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040. (Page 34) 1. 720; 2. 7 x 6 x 5 x 4 x 3 x 2 x 1, 5,040; 3. 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1, 40,320 4. 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1, 362,880; 5. 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1, 3,628,800; 6. 12 7. 3 x 2 x 1 x 4 x 3 x 2 x 1, 144; 8. 2 x 1 x 5 x 4 x 3 x 2 x 1, 240; 9. 6 x 5 x 4 x 3 x 2 x 1 x 3 x 2 x 1, 4,320; 10. 12; 11. 20; 12. 72; 13. 10; 14. 151,200; 15. 11,880.

**Problem Solving Strategies** (estimating, problem solving)**ANSWERS:** (Page 30) 1. 6 tops/4 skorts; 2. 3 pennies, 3 nickels, 0 dimes, 3 quarters; 3. A. 1 penny, 0 nickels,4 dimes, 4 quarters, 0 half dollars, B. 1 penny, 4 nickels, 2 dimes, 0 quarters, 2 half dollars; 4. 6, 9, 12, 15, 18; 5. 300, 350, 400, 450, 500; 6. 3 footballs, 6 tennis balls, 3 baseballs, 2 basketballs; 7. Jack is 26 years old; Dad is 52 years old; 8. Marie is 22 years old; Mother is 44 years old. (Page 31) 1. $360.00; 2. 2,700; 3. 240 total-- 16 skirts, 32 jeans, 64 shorts, 128 blouses; 4. $372.00 total -- Elaine $12.00, Christina $24.00, Alyse $48.00, Doreen $96.00, Melissa $192.00; 5. James 2 years old, Raymond 3 years old, Brett 4 1/2 years old, John 6 years old, Robert 11 years old. (Page 32) 1. 3 hr. 2 min.; 2. 31 games; 3. 81 times; 4. 30 names; 5. 20 points on 8th game, 35 points on 14th game; 6. 35 players are 13 years old.

**Perimeter and Circumference** (perimeter, circumference, geometry)**ANSWERS:** (Page 10) 1. 18.2 cm; 2. 26.2 cm; 3. 131/2 cm; 4. 161/2 ft.; 5. 151/4 in.; 6. 183/8 cm.; 7.-10. Answers will vary. (Page 11) 1. 15.6 cm; 2. 111/4 in.; 3. 24.4 m; 4. 183/4 ft.; 5. 74.4 m; 6. 64 yd.; 7. 137.4 cm; 8. 105.3 m; (Page 12) 1. 19.1 m; 2. 22.6 m; 3. 26 in.; 4. 201/2 ft.; 5. 25.12 m; 6. 37.68 in.; 7. 31.4 cm.

**Perfect Numbers** (factoring)**ANSWERS:** (Page 72) 1. 1, 3, 7, 21, 1, 3, 7; 2. 1, 5, 25, 1, 5; 3. 1, 2, 3, 6, 9, 18, 1, 2, 3, 6, 9; 4. 1, 2, 4, 5, 10, 20, 1, 2, 4, 5, 10; 5. 1, 2, 4, 7, 14, 28, 1, 2, 4, 7, 14; 6. 1, 2, 4, 8, 16, 1, 2, 4, 8; 7. 1, 2, 3, 4, 6, 9, 12, 18, 36, 1, 2, 3, 4, 6, 9, 12, 18; 8. 1, 2, 4, 11, 22, 44, 1, 2, 4, 11, 22; 9. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 123; 10. 1, 3, 9, 27, 81, 1, 3, 9, 27, 40; 11. 1, 2, 4, 5, 10, 20, 25, 50, 100, 1, 2, 4, 5, 10, 20, 25, 50, 117; 12. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 259; 13. 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 265; 14. 1, 2, 7, 14, 49, 98, 1, 2, 7, 14, 49, 73. (Page 73) 1. 1, 2, 4, 5, 10, 22, abundant; 2. 1, 2, 4, 8, 15, defective; 3. 1, 2, 19, 22, defective; 4. 1, 2, 5, 10, 25, 43, defective; 5. 1, 2, 4, 8, 16, 32, 63, defective; 6. 1, 2, 3, 6, 9, 21, abundant; 7. 1, 2, 4, 5, 10, 20, 25, 50, 117, abundant; 8. 1, 2, 3, 4, 6, 9, 12, 18, 55, abundant; 9. 1, 2, 3, 4, 6, 8, 12, 16, 24, 76, abundant; 10. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 259, abundant; 11. 1, 5, 25, 31, defective; 12. 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 222, abundant; 13. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 108, abundant; 14. 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 144, abundant. (Page 74) 1. 1, 2, 4, 29, 58, 94, defective; 2. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 568, abundant; 3. 1, 5, 19, 25, defective; 4. 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 460, abundant; 5. 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 240, abundant; 6. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 531, abundant; 7. 1, 2, 4, 8, 16, 31, 62, 124, 248, 496, perfect; 8. 1, 2, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 444, 1093, abundant; 9. 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 2088, abundant; 10. 1, 2, 4, 5, 10, 20, 25, 50, 100, 217, abundant; 11. 1, 2, 3, 6, 83, 166, 249, 510, abundant; 12. 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 1921, abundant; 13. 1, 2, 4, 5, 10, 20, 25, 40, 50, 100, 200, 250, 500, 1207, abundant; 14. 1, 3, 9, 27, 37, 111, 333, 521, defective.

**Prime Factors** (factoring, prime numbers)**ANSWERS:** (Page 52) 1. 1, 2, 3, 4, 6, 12, composite; 2. 1, 2, 7, 14, composite; 3. 1, 2, 4, 7, 14, 28, composite; 4. 1, 19, prime; 5. 1, 5, 7, 35, composite; 6. 1, 23:prime; 7. 1, 2, 11, 22, composite; 8. 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, composite; 9. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, composite; 10. 1, 71, prime; 11. 1, 2, 4, 6, 7, 12, 14, 21, 42, 84, composite; 12. 1, 7, 13, 91, composite; 13. 1, 3, 9, 27, 81, composite; 14. 1, 13, prime; 15. 1, 2, 4, 5, 10, 20, 25, 50, 100, composite; 16. 1, 101, prime; 17. 1, 2, 3, 4, 6, 8, 12, 18, 24, 36, 48, 72, 144, composite; 18. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, composite; 19. 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360, composite; 20. 1, 2, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 144, 288, composite. (Page 53) 1. 2 x 32; 2. 23 x 3; 3. 22 x 32; 4. 22 x 7; 5. 22 x 3 x 5; 6. 23 x 32; 7. 24 x 32; 8. 22 x 33; 9. 24 x 33; 10. 33 x 37. (Page 54) 1. 4, x, y, z; 2. 5, 3, a, b; 3. 5, 4, a, b, c; 4. 9, x, y, z; 5. 3, 4, a, d, b, c; 6. 17, 12, n, p; 7. 12, 13, y, z; 8. 3, 2, 4, 5,a, b, x, y, z; 9. 3, 4, x, y, z; 10. 4, 5, 3, a, b; 11. 4, abc; 12. 9, xyz; 13. 19,xyz; 14. 23, abx; 15. 26,ab; 16. 15, adn; 17. 1, xy; 18. 4, abc.

**Integers** (integers, number lines, negative numbers)**ANSWERS:** (Page 56) 1. -10; 2. -8; 3. +7; 4. -16; 5. -21; 6. -24; 7. -13; 8. +10; 9. +2; 10. -13; 11. -6; 12. -2; 13. +7; 14. -24; 15. -4; 16. -23; 17. +25; 18. -3; 19. -25; 20. -15; 21. -21. (Page 57) 1. +6; 2. -4; 3. +16; 4. -59; 5. +11; 6. -13; 7. -22; 8. +31; 9. -23; 10. -22; 11. -21; 12. -34; 13. -110; 14. -32; 15. -56; 16. -40; 17. +450; 18. -579; 19. +176; 20. -1; 21. -198. (Page 58) 1. -15; 2. +25; 3. -20; 4. -18; 5. -18; 6. -21; 7. -72; 8. +90; 9. +200; 10. -144; 11. +144; 12. -100; 13. +150; 14. +150; 15. -150; 16. +400; 17. -400; 18. -400; 19. +1,000; 20. +1,000; 21. -1,000.

**Multiplying Decimals** (multiplication, decimals, place value)**ANSWERS:** (Page 27) 1. 2.7; 2. .14; 3. 4.338; 4. 1825.2; 5. 4121; 6. 6; 7. 150.9; 8. 10.625; 9. 1.628; 10. 31.88; 11. .056; 12. .00702; 13. .084; 14. 599.104; 15. 161.505; 16. 2.16408; 17. 56.088; 18. 48.708; 19. 7.616; 20. .18446; 21. 1.8; 22. 53; 23. 145; 24. .091; 25. 112.34; 26. .922; 27. 524.75; 28. 893,155; 29. 0.23; 30. 1679.45. (Page 28) 1. $93.96; 2. $4.47; 3. $105.30; 4. $69.93; 5. $53.38; 6. $420.52; 7. $585.39; 8. $256.50; 9. 2.646; 10. 1.872; 11. 2.6628; 12. 0.00228; 13. $6.30; 14. 4.78; 15. 137.74; 16. $1.38; 17. $8.37; 18. .1218.

**Famous Mathematicians** (math history)

**Timelines** (timelines)**ANSWERS:** (Page 85) The age of the monuments will vary. c. 2750 B.C. -- Stonehenge c. 2600 B.C. -- Ziggurat at Ur; c. 2580 B.C. -- Pyramids at Giza; c. 2550 B.C. -- The Great Sphinx; c. 1333 B.C. -- Tutankhamun's Tomb; c. 960 B.C. -- Solomon's Temple; c. 600 B.C. -- Hanging Gardens of Babylon; c. 550 B.C. -- Temple of Artemis/Ephesus; c. 456 B.C. -- Statue of Zeus; c. 447 B.C. -- Parthenon at Athens; c. 353 B.C. -- Mausoleum at Halicarnassus; c. 292 B.C. -- Colossus of Rhodes; c. 283 B.C. -- Lighthouse at Alexandria; c. 214 B.C. -- Great Wall of China; 150 B.C. -- The Great Stupa at Sanchi, India; 7 B.C. -- The Roman Pantheon; B.C. ; A.D. ; 50 A.D. -- Aztec Pyramid of the Sun; 80 A.D. -- Colosseum in Rome; c. 730 A.D. -- Jaguar Temple at Tikal; 1067 A.D. -- Tower of London; 1150 A.D. -- Angkor Wat Temples; 1163 A.D. -- Cathedral of Notre Dame; 1339 A.D. -- The Kremlin in Moscow; 1599 A.D. -- Globe Theater in London; 1629 A.D. -- Taj Majal; 1662 A.D. -- Palace at Versailles; 1675 A.D. -- New St. Paul's Cathedral; 1703 A.D. -- Buckingham Palace; 1884 A.D. -- Statue of Liberty; 1889 A.D. -- Eiffel Tower; 1931 A.D. -- Empire State Building. (Page 86) The "Years Ago" calculation will depend on the current year. c. 8000 B.C. -- Agriculture was invented in Mesopotamia. c. 5000 B.C. -- Crop irrigation was invented in Mesopotamia. c. 3500 B.C. -- The potter's wheel was developed in Mesopotamia. c. 3500 B.C. -- The plow was invented in Mesopotamia. c. 3200 B.C. -- The Egyptians invented a form of ink. c. 3100 B.C. -- The Egyptians invented an early form of writing. c. 3000 B.C. -- The abacus was developed in China or Babylonia. c. 1800 B.C. -- The Babylonians developed multiplication tables. c. 1000 B.C. -- Scissors were invented in Europe and Asia. c. 1000 B.C. -- Kites were developed in China. c. 800 B.C. -- Coins were created in Near East. c. 700 B.C. -- The Chinese began keeping records of comets. c. 236 B.C -- Archimedes invented the Archimedean screw for lifting water from lower levels. B.C. A.D. c. 300 A.D -- Stirrups for riding horses were developed in China. c. 600 A.D. -- Chess was invented in India. c. 644 A.D. -- The windmill was developed in Iran. 868 A.D. -- The first printed book was made in China. c. 1000 A.D. -- Gunpowder was invented in China. c. 1040 A.D. -- Movable type for printing books was invented in China. c. 1280 A.D. -- Spectacles were developed in Italy. 1514 A.D. -- Plus (+) and minus (-) signs were first used. 1565 A.D. -- Pencils were designed by Gesner in Switzerland. c. 1608 A.D. -- Hans Lippershey of Holland built the first telescope. c. 1665 A.D. -- Isaac Newton discovered the universal law of gravitation. 1865 A.D. -- Louis Pasteur developed the germ theory of disease. 1879 A.D. -- Thomas Edison invented the first practical light bulb. 1903 A.D. -- The Wright brothers built and flew the first heavier-than-air plane. 1925 A.D. -- Television was invented by J. Baird of Scotland. Internet Links

**Geometry Word Problems** (area, geometry, word problems)**ANSWERS:** (Page 22) 1. A. 314.5 sq. ft., B. 34.9 or 35 sq. yd., C. $698.00 or $700.00; 2. A. 185 sq. ft., B. 5 rolls, C. $125. 3. A. 244 3/8 sq. ft., 230 sq. ft., 244 3/8 sq. ft., 230 sq. ft., 425 sq. ft., B. 1,373 3/4 sq. ft. or 1,374 sq. ft., C. 4 gallons, $71.96. (Page 23) 1. A. 2,356 sq. ft., B. $23.56; 2. A. 200 ft., B. $6.00; 3. A. 1,116 sq. ft.. B. $11.16; 4. A. 34.54 ft., B. $1.04, C. 94.99 sq. ft., D. $0.95; 5. A. 643.75 sq. ft., B. $96.56; 6. A. 221 sq. ft., B. $39.78; 7. A. 37.68 ft., B.113.04 sq. ft.; Extension: Answers will vary. (Page 24) 1. 240 cartons; 2. 4,070 cu. ft.; 3. 25,688.34 cu. in.; 4. 1,417.95 cu. cm; 5. 370 cu. ft.; 6. 14,820 cu. ft.; 7. 162,887.5 cu. ft.; 8. 10,160,922 lb.; 9. 1,218,398.5 gallons; 10. 471 cu. in.; 11. 84,780 cu.ft.

**Real World Math** (math in real life - all operations)**ANSWERS:** (Pages 29-31) Part I: 1. $8,400, no; 2. $4,080, yes; 3. $7,506.60, yes; 4. #2 and #3, $554.40; 5. $650.00; 6. $7,800/12 =, $650 x 12 =. Part II: 1. $360.00, Yes; 2. $288.00, Yes; Part III: 15% of her income is $675; 1. $3,150; 2. $5,400; 3. $25.00; 4. ($60.00 x 12) + 200 = $920.00; 5. $60.00. Part IV: (Yearly amount paid per bill) Electricity -- $144; Water -- $216; Gas -- $360; Master 1 Credit Card -- $180; Apex Credit Card -- $240. (Price per day) Sunday -- $6.82; Monday -- $5.22; Tuesday -- $2.52; Wednesday -- $2.40; Thursday -- $1.53; Friday -- $2.85; Saturday -- $2.40.

**Geometry: Triangles** (geometry, triangles, solving puzzles)**ANSWERS:** (Page 29) 1. isosceles, acute; 2. obtuse, scalene; 3. right, scalene; 4. isosceles, acute; 5. acute, scalene; 6. isosceles, obtuse; 7. right, scalene; 8. obtuse, scalene; 9. obtuse, scalene. (Page 30) AGC (obtuse, scalene); BAG (acute, scalene); BAQ (scalene, right); QCB (scalene, obtuse).

**Calculating Interest** (money, interest, math in real life)**ANSWERS:** (Page 39) 1. $45.00; 2. $45.42; 3. $10.00; 4. $30.00; 5. $135.00; 6. $73.75; 7. $19.90; 8. $9.12; 9. $298; 10. $54.08. (Page 40); 1. $42.29; 2. $196; 3. $16.20; 4. $0.25; 5. $1372.70. Chart: 1. 1/10, .10, 10%; 2. 1/4, .25, 25%; 3. 9/20, .45, 45%; 4. 3/20, .15, 15%; 5. 4/5, .80, 80%; 6. 5/6, .833, 83.3%; 7. 77//100, .77, 77%; 8. 1/20,.20, 20%; 9. 1/50,.222, 22%; 10. 2/5, .40, 40%.

**Algebra Word Problems** (algebra, word problems, equations)**ANSWERS:** (Page 34) 1. n = 36-23; n = 13; 13 years old; 2. n = (4 x 15) + 2; n = 62; 62 CDs; 3. n = 216-122; n = 94; 94 lb.; 4. n = 25 x .60; n = 15; 15 shots; 5. n = 22 - 7; n = 15; 15 minutes; 6. n = 1,145 - 316; n = 829; 829 words; 7. n = 88 x 3/4; n = 66; 66 minutes. Extension: Answers will vary. (Page 35) 1. n + (n + 28) = 50; 2n + 28 = 50; n = 11; Mother is 39 years old.; Sarah is 11 years old. 2. n + (n + 140) = 336; 2n + 140 = 336; n = 98; Joe weighs 98 lbs.; Dad weighs 238 lbs. 3. n + 4n + 22 = 122; n = 25; Melissa has $25.00.; Christina has $97.00. 4. n + 2n = 669; 3n = 669; n = 223; John read 223 words.; Joseph read 446 words. 5. n + 4n = 15; 5n = 15; n = 3; ;Nicholas is 3 years old.; Norman is 12 years old. 6. n + 9n + 2n = 144; 12n = 144; n = 12; Daniel has 12 stamps.; Bryan has 24 stamps. George has 108 stamps. (Page 36) 1. n + (n + 25) + (n + 23) = 93; 3n + 48 = 93; n = 15; Fred is 15 years old.; Mom is 38 years old.; Dad is 40 years old. 2. 3n + 220 = 310; n = 30; The skateboard is $30.; The scooter is $90.; The bike is $190. 3. 9n + 6 = 3(n + 6); n = 2; Jimmy is 2 years old.; Brother is 18 years old. 4. n + (n - 5) + (n + 2) + (n + 8) = 53; 4n + 5 = 53; n = 12; Jesse is 12 years old.; Maybelle is 7 years old.; Ellen is 14 years old.; Jeanne is 20 years old. 5. n + (n + 15) + (n - 10) + (n + 23) = 108; 4n + 28 = 108; n = 20; Joseph had $20.00.; Elsa had $35.00.; Julian had $10.00.; Martha had $43.00. 6. n + 2n + 4n = 105; 7n =105; n = 15; Melissa had $15.00.; Christina had $30.00.; Charmain had $60.00. 7. n + 3n + (3n - 10) = 74; 7n - 10 = 74; n = 12; Kristin had $12.00.; Matthew had $36.00.; Joshua had $26.00. 8. n + (n + 8) + 3n + (n - 5) = 63; 6n + 3 = 63; n = 10; Andrew is 10 years old.; Kenneth is 18 years old.; Billy is 30 years old.; Cameron is 5 years old.

**Teen Spending** (math in real life - all operations)

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