Numbers and Operations Chapter Questions 1. Draw a Venn Diagram showing the Number System 2. Explain what absolute value represents. 3. Create an owing money example for comparing two negative numbers. 4. Explain how you can use absolute value to add rational numbers. 5. Why can rational number subtraction problems be turned into addition problems? 6. Why are the rules for multiplying and dividing rational numbers the same? NJ Center for Teaching and Learning ~1~ www.njctl.org Numbers and Operations Chapter Problems Addition, Subtraction and Integers Classwork 1. Name 5 integers. 2. Name 5 numbers that are rational but not integers. 3. What is the opposite of 20? 4. What is the opposite of -13.5? 5. Find: a. │-12│ b. │ 25 c. 1 │ 3 │-47.27│ d. │ 11 5 │ 7 6. Which numbers have the number given as their absolute value? a. 150 b. 75.47 c. 14½ d. 1250.3 7. How would you explain to a new student how to find the absolute value of -10 and +10? 8. Place the appropriate inequality symbol between the following pairs of numbers: a. 3 -7 b. -8.75 -10.3 c. 12 -11 d. 7½ 7½ e. -4 0 f. 0 5. 3 9. Draw a number line and mark and label points for these numbers: 4.3, -7, 5, 0, -2.7, 1.8, -4.1 10. Draw a number line and mark and label points for these numbers: -15.1, 0, 7 NJ Center for Teaching and Learning ~2~ 1 , 4, -3.8, -1.2, 9 2 www.njctl.org Homework 11. What is the opposite of -50? 12. What is the opposite of 11.3? 13. What is the opposite of 2? 14. What is the opposite of -7.98? 15. Find: a. │ 13 2 │ 9 b. │-35.74│ c. │-55│ d. │3½ │ 16. Which numbers have the number given as their absolute value? a. 72 b. 28 1 4 c. 155.35 d. 2500 17. How would you explain to a new student how to find the absolute value of 27.8 and -27.8? 18. Place the appropriate inequality symbol between the following pairs of numbers: a. 25 -25 b. -30.3 -30.3 c. 15 2 5 d. -99.8 e. -5.75 f. 0 15 2 5 -100.1 0 -1 19. Draw a number line and mark and label points for these numbers: 15.2, -3½ , 0, 12 1 , -9, 7.8, 11 3 20. Draw a number line and mark and label points for these numbers: -9.25, 1, 0, -3, 9.5, -1, 8 NJ Center for Teaching and Learning ~3~ 1 3 www.njctl.org Addition and Subtraction of Integers Classwork 21. Show the addition problem on a number line, and give the answer. a. 4 + 2 b. 4 + (-2) c. -4 + 2 d. -4 + (-2) e. -4 + 4 22. Decide whether the statements below are always true, sometimes true, or always false. Give examples to support your answer. a. The sum of two positive numbers is a positive number. b. The sum of a negative number and a positive number is a positive number. c. The sum of two negative numbers is a negative number. 23. Show the subtraction problem on a number line, and give the answer. a. 3 – 5 b. 3 – (-5) c. -3 – 5 d. -3 – (-5) e. -3 – (-3) 24. Write three addition problems that have a sum of 5. 25. Write three addition problems that have a sum of -7. 26. Write three addition problems that have a sum of 0. Homework 27. Show the addition problem on a number line, and give the answer. a. -6 + (-4) b. -6 + 4 c. 6 + 4 d. 6 + -4 e. 6 + -6 28. Show the subtraction problem on a number line, and give the answer. a. 7 – 2 b. 7 – (-2) c. -7 – 2 d. -7 – (-2) e. -7 – (-7) 29. Write three addition problems that have a sum of -1. 30. Write three addition problems that have a sum of 10. 31. Write three addition problems that have a sum of -3. NJ Center for Teaching and Learning ~4~ www.njctl.org Multiplication and Division of Integers Classwork 32. Show and solve the following multiplication problems on a number line: a. 3(3) = b. 2(-3) = c. 5(-2) = 33. (7)(-2) = 34. (8)(-3) = 35. (-8)(7) = 36. (6)(8) = 37. (3)(-7) = 38. (1)(7) = 39. (0)(-9) = 40. Show the following division problems on a number line: a. 10 ÷ 2 = b. -12 ÷ 3 = c. -9 ÷ 3 = 41. -45 ÷ 5 = 42. 56 ÷ 8 = 43. -12 ÷ -6 = 44. 7 ÷ -7 = 45. -9 ÷ 1 = 46. -6 ÷ -6 = 47. 0 ÷ -4 = 48. -18 ÷ -9 = 49. 27 ÷ 9 = Homework 50. Show and solve the following multiplication problems on a number line: a. 2(3) = NJ Center for Teaching and Learning ~5~ www.njctl.org b. 3(-2) = c. 4(-3) = 51. (-1)(-8) = 52. (1)(-2) = 53. (-7)(8) = 54. (9)(1) = 55. (-6)(3) = 56. (2)(-5) = 57. (0)(-5) = 58. (7)(-3) = 59. (-8)(-2) = 60. 5 ÷ -1 = 61. 24 ÷ 4 = 62. -3 ÷ -3 = 63. 0 ÷ 3 = 64. -10 ÷ 2 = 65. -6 ÷ 3 = 66. -40 ÷ -8 = 67. -4 ÷ 2 = 68. -25 ÷ -5 = Addition and Subtraction of Rational Numbers 69. Explain the absolute values approach to solving a problem adding and positive and a negative number. 70. Find the sum. a. 2.3 + (-4.8) = b. -6 + 4 = NJ Center for Teaching and Learning ~6~ www.njctl.org c. -10.9 + (-10.9) = d. -8.23 + 8.23 = e. -3 + 0 = f. 2 1 5 (4 ) = 3 2 g. -7 + 10 = h. -40.32 + (-25) = i. 525 + (-110) = 5 j. During a football game the Hawks lost 5 yards due to a penalty and 6 yards from a quarterback sack. Write and solve an expression that represents the situation. k. Isaiah is scuba diving 30 feet below sea level. If he ascends 25.8 feet, what is his new position? l. Joe’s bank account statement stated he had $-250.30 in his account. If Joe deposited $100 on Friday and then later took out $27.25, what is his balance in his bank account? m. A store has 40 IPads Wednesday morning. On Wednesday, it sells18 IPads. On Thursday it sells 10. Friday the store receives another shipment of 30 IPads. Write an addition problem that represents the number of IPads the store has at the end of the day on Friday. Then solve. 71. Write three different addition problems that have a sum of: a. 15 b. 42 c. -27 d. -3 Homework 72. Explain the absolute values approach to solving a problem adding two positives or two negatives. 73. Find the sum. a. -7 + 2 = b. -2.3 + (-4.8) = c. -1 + 8 = d. e. f. g. h. i. j. k. l. 1 5 ( 7 ) 3 -7 + 7 = 0 + (-8.95) = -5.86 + 1 = -9.3 + (-9.3) = 11.5 + (-98.5) = -34.8 + (-82.6) = A car left home and traveled 78.2 miles South on Highway 92. The car then traveled 75.9 miles North (back toward home) on the same Highway. How far is the car from home? A scuba diver is 3 meters below sea level. If the diver descends another 8 meters, what is the scuba diver’s position? NJ Center for Teaching and Learning ~7~ www.njctl.org 4 2 5 5 m. A hole was dug 53 feet under ground. The construction workers then dug 61 further down. How deep is the hole? n. Grace received $200 for her birthday on Saturday. Later that day she bought a dress for $88.30 and shoes for 52.50. On Sunday morning gave her a late birthday present of $30. Write an addition expression that represents how much money Grace has on Sunday. Then solve. 74. Write three different addition problems that have a sum of: a. -12 b. 5 c. -20 d. 33 Turning Subtraction into Addition Classwork 75. Decide whether the statements below are always true, sometimes true, or always false. Give examples to support your answer. a. The difference when a negative number is subtracted from a positive number is a negative number. b. The difference when a negative number is subtracted from a negative number is a negative number. 76. Convert the following subtraction problems into addition problems, then find the sum. a. 12 – (-2) b. -5.8 – (-2.9) c. -12 – 3 d. 10.75 – 14 e. 3 1 15 (7 ) 8 2 f. g. h. i. j. k. -2½ – 5 5.6 – (-4.72) -100 – (-99) -30.6 – 30.6 45 - (-45) -175 – 30 77. Write three subtraction problems that have a difference of: a. 4 b. 17 c. -19 d. -2 Homework 78. Convert the following subtraction problems into addition problems, then find the sum. a. -5 – (-4) = NJ Center for Teaching and Learning ~8~ www.njctl.org b. -11.9 – 5.1 = c. -3 – 5 = d. -7.2 – (-2) = e. 1 1 5 9 = 4 3 f. g. h. i. j. k. l. 3.12 – (-3.12) = -2.4 – (-2.4) = 7 – (-10) = 9 – (-2½ ) = 50 – (-25) = -35.7 – 20.4 = -100 – 99 = 79. Write three subtraction problems that have a difference of: a. 14 b. -22 c. -9 d. 23 Adding and Subtracting Rational Numbers Review Classwork 80. 3.8 + (-8.5) = 81. 6 – (-4) = 82. (-9) – (-4) = 83. 7 2 1 5 5 3 84. -4.6 – (-2.6) = 85. -4 -10 = 86. 6 4 2 5 7 7 87. -2 -7.8 = 88. -9 + 10 = 89. 8.65 + (-10) = 90. 2 – (-10.3) = NJ Center for Teaching and Learning ~9~ www.njctl.org 3 1 (2 ) 4 4 1 3 92. 5 10 8 8 91. 8 93. 4½ + 1½ = 94. 0 – (-3.8) = 95. -8 – (-2) = 96. -5 + (-6) = 97. 52 3 1 (28 ) 4 2 98. -41.3 + 53.2 = 99. 14 2 1 (94 ) 5 5 100. -88.88 – (-44.44) = 101. 5 1 71 21 8 4 102. 38 + (-64) = 103. 38 – (-64) = 104. -5 – 21 = 105. The hottest temperature ever recorded in Houston, Texas was 104 degrees. The coldest it has ever been is 30 degrees below zero. How many degrees difference is between the hottest and coldest recorded temperature? 106. Find the difference between the top of a house 55.12 feet above sea level and a coral reef 20.34 feet below sea level. NJ Center for Teaching and Learning ~ 10 ~ www.njctl.org 107. John owed his friend $7. For his birthday John received 10 dollars. After paying his friend back, how much money will John have? 108. Henry spent $32.44 on a shirt and another $45 on a tie. Write and solve a subtraction equation that represents the situation. 109. The temperature in the morning was -3 degrees. By the afternoon the temperature dropped 23 degrees. What is the temperature in the afternoon? 110. After Enrico withdrew $90 from his bank account, his balance was $354. Write a subtraction expression to show your balance before Enrico’s withdrawal. Solve. Homework 111. -8 + 6 = 112. -3.5 – 6.8 = 113. -8.3 – (-2.75) = 114. 1 2 7 (10 ) 3 3 115. -1 + (-3) = 116. 4 2 1 ( 6 ) 7 7 117. -6.9 + (-1.4) = 118. 3.9 + (-6.5) = 119. 2 120. 1 1 5 (8 ) 4 4 121. 2.4 – (-1.8) = 122. -1 – 8 = 123. -10 + 10 = 124. 4½ – 9 = 125. -2.9 + 1.24 = 2 2 ( 2 ) 6 6 NJ Center for Teaching and Learning ~ 11 ~ www.njctl.org 126. 7 – (-7) = 127. -7 + 4 = 128. 33.8 – (-58.4) = 129. 25 + (-49) = 130. 1 3 51 55 4 4 131. 49 + (-69) = 132. 0 – (-92) = 133. -15.6 + 73.9 = 134. -60 – (-58) = 135. 50 -76 = 136. The hottest ever recorded temperature in New Jersey was 110 degrees. The coldest it’s ever been was 34 degrees below zero. How many degrees difference is between the hottest and coldest recorded temperature? 137. Find the difference between the top of a basketball hoop 10.10 feet above the ground and the end of the pole 3 feet under ground. 138. Tara’s bank account showed -14.56 on her statement. She withdrew another 60 dollars from her account that same day. After the withdrawal what will Tara’s bank account statement show? 139. Tony went to an orchid with his family to pick apples. Throughout the day, Tony collected 14 apples. His brother then took 5 apples and then Tony dropped 3. Write and solve an addition equation to represent how many apples Tony has at the end of the day. 140. Mike earned $32 mowing his neighbor’s yard. Mike also owed his brother $40. Write and solve an equation that shows Mike’s money situation. 141. During a football game the Giants gained 15 yards on one play. The next play the quarterback was sacked and loss 6 yards. During these two plays how many yards did the Giants loos or gain? 142. The temperature at 3 a.m. was 7 degrees. By 12 p.m. the temperature dropped 19 degrees. What was the temperature at 12 p.m.? NJ Center for Teaching and Learning ~ 12 ~ www.njctl.org Multiplying Rational Numbers Classwork 143. (-2.5)(-2.1) = 144. (8.5)(-9.4) = 145. (-4.79)(-1) = 146. (-7.12)(8) = 147. (8.45)(-6) = 148. (1.001)(-1.1) = 149. (-9.75)(-5) = 150. (4.21)(-9.2) = 151. (1)(-5.786) = 152. 1 1 5 (6 ) 3 2 153. 1 1 2 ( 1 ) 4 3 154. 5 7 ( 0) 8 155. 2 1 6 ( 4 ) 5 4 156. 1 16 (10) 8 157. 4 3(15 ) 8 158. (-33)(-13) = 159. (-77)(4) = 160. (20)(-40) = NJ Center for Teaching and Learning ~ 13 ~ www.njctl.org Homework 161. (-5.21)(-5.3) = 162. (-9.12)(-7) = 163. (-5.8)(3.1) = 164. (4.87)(-1) = 165. (4.4)(4.4) = 166. (-2.86)(9.2) = 167. (9.3)(-9.3) = 168. (-6.2)(-9.1) = 169. (6.34)(2) = 170. 1 3 6 (4 ) 5 4 171. 1 2 4 (5 ) 5 3 172. 2 62 (51) 5 173. 2 13 (60) 3 174. 1 1 36 (8 ) 2 6 175. 3 4 ( 80) 8 176. (-10)(45) = NJ Center for Teaching and Learning ~ 14 ~ www.njctl.org Dividing Rational Numbers Classwork 177. 3.5 ÷ -0.5 = 178. -5.525 ÷ 8.5 = 179. -63.84 ÷ -9.12 = 180. -36.9 ÷ 9 = 181. 6.6 ÷ -3.3 = 182. -40.8 ÷ -5.1 = 183. -1.63 ÷ -1.63 = 184. 0 ÷ -13.24 = 185. -61.992 ÷ 7.2 = 186. 1 3 20 (6 ) 4 4 187. 1 1 56 (6 ) 4 4 188. 1 3 26 (4 ) 4 8 189. 4 15 (4 ) 5 190. 1 3 27 (13 ) 2 4 191. 1 26 (4 ) 2 192. -4230 ÷ -90 NJ Center for Teaching and Learning ~ 15 ~ www.njctl.org Homework 193. 49.2 ÷ -8.2 = 194. -78.72 ÷ 6 = 195. -2.4 ÷ -4 = 196. 0.128 ÷ 3.2 = 197. -1.53 ÷ 51 = 198. -1.92 ÷ -1.92 = 199. 6.64 ÷ -8 200. 57.6 ÷ -8 = 201. 3 5 (4) 5 202. 2 2 14 (3 ) 3 3 203. 204. 3 1 24 (8 ) 8 8 3 35 (4 ) 8 205. 1 1 5 ( 2 ) 2 4 206. 20÷ -6 = 207. -212 ÷ -53 = 208. 4050 ÷ 75 = NJ Center for Teaching and Learning ~ 16 ~ www.njctl.org Converting Rational Numbers to Decimals Classwork Convert each Rational Number to Decimal Form. 209. 210. 211. 212. 4 9 213. 11 1 6 214. 6 3 8 215. 4 220. 23 221. 2 222. 5 6 21 3 4 5 8 1 3 2 11 Homework Convert each Rational Number to Decimal Form. 216. 217. 218. 219. 5 6 4 15 1 9 7 8 3 4 3 8 2 6 7 11 Exponents Classwork 223. 224. 225. 226. 227. 228. Homework 229. (-9)2 230. -92 231. -43 232. (-4)3 233. -64 234. (-6)4 (-8)2 -82 -73 (-7)3 -54 (-5)4 NJ Center for Teaching and Learning ~ 17 ~ www.njctl.org Numbers and Operations Unit Review PMI 7th Grade Name ________________________ Multiple Choice– Choose the correct answer for each question. No partial credit will be given. 1. What is the opposite of 5? a) 5 b) -5 c) 0 1 2. What is │23 │? 4 a) b) 1 234 1 -234 c) 0 3. What is │-7│? a) 7 b) -7 c) 0 4. 5. 6. -11 a) > -10 -20.0 a) > -19.9 -9 a) > -9 ¼ b) = c) < b) = c) < b) = c) < 7. Convert the subtraction problem into an addition problem. a) -10 + 5 b) -10 + (-5) c) 10 + 5 d) 10 + (-5) 10 – (- 5) 8. Convert the subtraction problem into an addition problem. a) -8.75+ 4.3 b) -8.75 + (-4.3) c) 8.75 + 4.3 d) 8.75 + (-4.3) 8.75 – 4.3 NJ Center for Teaching and Learning ~ 18 ~ www.njctl.org 9. Name the two numbers that have 10 as their absolute value _________________ In 17-18, use a number line to illustrate the given problem. 10. -6 + 7 11. 9 + -3 12. Convert the fraction into a decimal. Show all work. 2 9 9 13. Mike had a balance of $175 in his bank account at the start of the week. He withdrew $65.00 on Monday, $43.25 on Wednesday, and $56.45 on Thursday. On Friday he deposited $165.30. At the end of the week, does Mike have more or less money in his savings account than he had at the beginning of the week? How much more or less? Show all of your work to support your answers. 14. In the first quarter of the game, the Giants gained 5 yards, lost 13 yards, gained 2 yards, gained 6 yards and, unfortunately, lost 12 yards in their final play. Use a number line to depict the Giants’ activity in the first quarter. Use addition only to illustrate the Giants’ activity in the first quarter. What was the net yardage for the Giants in the first quarter? 15. The temperature varied greatly throughout the evening. Mary’s bug farm cannot survive if the temperature falls below 32°C at any time. The evening temperature was consistently 62 degrees, until a storm passed through the town. The temperature dropped 24°, dropped another 5°, rose 2°, dropped 11°, and rose 9°. Illustrate the temperature changes throughout the night using only addition What was the lowest temperature of the night? Did the bug farm survive the night? Explain your answer. NJ Center for Teaching and Learning ~ 19 ~ www.njctl.org Answer Key 1. 2. 3. 4. 5. For example: 3, 4, 5, -2, -2 For example: ½, -3/4, 0.4, √5, π -20 13.5 16. a. -72, 72 c. -155.35, 155.35 d. -2500, 2500 17. Answers will vary. a. 12 1 3 b. 25 c. 47.27 d. 11 18. 5 7 6. a. -150, 150 b. -75.47, 75.47 c. 1 2 7 e. -4 -7 -10.3 -11 = -15 7 ˂ 0 2 5 -100.1 0 -1 1 1 , 0, 7.8, 11, 12 , 15.2 2 3 -9.25, -8 1 2 1 , -3, -1, 0, 1, 9.5 3 21. a. b. c. d. e. 5.3 6 2 -2 -6 0 22. a. Always true b. Sometimes true c. Always true 23. 13 a. -2 b. 8 c. -8 d. 2 e. 0 24. Answers will vary 25. Answers will vary 26. Answers will vary 27. a. -10 b. -2 2 9 b. 35.74 c. 55 d. 2 5 -15 20. Order on number line: 50 -11.3 -2 7.98 a. -25 -30.3 -9, -3 1 -15.1, -3.8, -1.2, 0, 4, 7 , 9 2 11. 12. 13. 14. 15. ˃ = d. -99.8 ˃ e. -5.75 ˂ f. 0 ˃ 19. Order on number line: = f. 0 ˂ 9. Order on number line: -7, -4.1, -2.7, 0, 1.8, 4.3, 5 10. Order on number line: a. 25 b. -30.3 c. 1 1 14 ,14 2 2 d. -1250.3, 1250.3 7. Answers will vary. 8. a. 3 ˃ b. -8.75 ˃ c. 12 ˃ d. 1 1 28 ,28 4 4 b. 3 1 2 NJ Center for Teaching and Learning ~ 20 ~ www.njctl.org c. 10 d. 2 e. 0 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. a. 5 b. 9 c. -9 d. -5 e. 0 Answers will vary Answers will vary Answers will vary a. 9 b. -6 c. -10 -14 -24 -56 48 -21 7 0 -9 7 2 -1 -9 1 0 2 3 -2.5 -2 -21.8 0 -3 f. -10 d. -1 8 -2 -56 9 -18 -10 0 -21 16 NJ Center for Teaching and Learning 1 6 2 3 e. 0 f. -8.95 g. -4.86 h. -18.6 i. -87 j. -117.4 k. 2.3 miles l. -11 m. 115 feet deep n. $89.20 74. Answers will vary 75. a. Always false a. 6 b. -6 c. -12 51. 52. 53. 54. 55. 56. 57. 58. 59. a. b. c. d. e. g. 3 h. -65.32 i. -5 j. -5 + -6= -11 k. -4.2 l. -77.55 m. 40+ (-10)+ (-18) + 30 = 42 71. Answers will vary 72. Answers will vary 73. a. -5 b. -7.1 c. 7 a. 5 b. -4 c. -3 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. -5 6 1 0 -5 -2 5 -2 5 Answers will vary ~ 21 ~ www.njctl.org b. Sometimes true 93. 94. 95. 96. 76. a. b. c. d. 12 + 2 = 14 -5.8 + 2.9 = -2.9 -12 + (-3) = -15 10.75 + (-14) = -3.25 e. 3 1 7 15 (7 ) 7 8 2 8 f. -2½ + (-5) = −7 97. 24 1 1 1 4 3 12 f. 3.12 + 3.12 = 6.24 g. -2.4 + 2.4 = 0 h. 7 + 10 = 17 i. 79. 80. 81. 82. 9 + 2½ = 11 1 2 j. 50 + 25 = 75 k. -35.7 + (-20.4) = -56.1 l. -100 + (-99) = -199 Answers will vary -4.7 10 -5 83. 2 1 15 84. -2 85. -14 86. 1 87. 88. 89. 90. 91. 2 7 -9.8 1 -1.35 12.3 11 92. -15 99. 108 3 5 100. -44.44 101. -50 102. 103. 104. 105. 106. 107. 108. 109. 110. 111. 112. 113. -26 102 -26 134 75.46 3 dollars -32.44 – 45 = -77.44 -26 354 – (-90) = 444 -2 -10.3 -5.55 114. -3 115. -4 116. 7 117. 118. 119. 120. 121. 122. 123. -8.3 -2.6 0 3 4.2 -9 0 124. -4 125. 126. 127. 128. 129. -1.66 14 -3 92.2 -24 130. -4 131. 132. -20 92 2 1 1 2 NJ Center for Teaching and Learning 1 4 98. 11.9 g. 5.6 + 4.72 = 10.32 h. -100 + 99 = -1 i. -30.6 + (-30.6) = -61.2 j. 45 + 45 = 90 k. -175 + (-30) = -205 77. Answers will vary 78. a. -5 + 4 = -1 b. (-11.9) + (-5.1) = -17 c. -3 + (-5) = -8 d. -7.2 + 2 = -5.2 e. 5 + (−9 )= −4 6 3.8 -6 -11 ~ 22 ~ 3 8 1 3 6 7 1 2 1 2 www.njctl.org 133. 134. 135. 136. 137. 138. 139. 140. 141. 142. 143. 144. 145. 146. 147. 148. 149. 150. 151. 58.3 -2 -26 144 13.1 -45.44 14 + (-5) + (-3) = 6 32 – 40 = -8 9 yards gained -12 degrees 5.25 -79.9 4.79 -56.96 -50.7 -1.1011 48.75 -38.732 -5.786 152. 34 2 3 153. 154. -3 0 155. 1 27 5 156. 161 157. 1 4 1 -46 2 158. 159. 160. 161. 162. 163. 164. 165. 166. 167. 168. 169. 429 -308 -800 27.613 63.84 -17.98 -4.87 19.36 -26.312 -86.49 56.42 12.68 170. -29 171. 9 20 4 23 5 NJ Center for Teaching and Learning ~ 23 ~ 172. -3182.4 or -3182 173. -820 174. -298 175. 176. 177. 178. 179. 180. 181. 182. 183. 184. 185. 186. 187. 188. -350 -450 -7 -0.65 7 -4.1 -2 8 1 0 -8.61 3 9 -6 189. 3 190. -2 191. 5 192. 193. 194. 195. 196. 197. 198. 199. 200. 47 -6 -13.12 0.6 0.04 -0.03 1 –0.83 -7.2 201. 1 202. 203. 204. 4 -3 -8 205. 2 206. 207. 208. 4 54 209. 0. 44 2 5 1 12 1 8 7 9 2 5 4 9 3. 3 www.njctl.org 210. 211. 6.16 6 221. 21.375 222. 223. 224. 225. 226. 227. 228. 229. 230. 231. 232. 233. 234. 0.18 212. 213. 214. -11.75 6.625 215. 4.33 216. 0.833 217. 218. 219. 220. 4.11 15.875 0.636 -23.75 Unit Review Answer Key 1) B 2) A 3) A 4) C 5) 6) 7) 8) C A C D 2.375 5.33 64 -64 -343 -343 625 -625 81 -81 -64 -64 1296 -1296 9) 10, 10 10) 11) 12) 13) 14) 15) .922 More, $0.60 5 + (-13) + 2 + 6 + (-12), -12 yards 62 + (-24) + (-5) + 2 + (-11) + 9 Lowest temp in the night was 24 degrees. The bug farm did not survive the night since the temp did drop below 32 degrees at one point. NJ Center for Teaching and Learning ~ 24 ~ www.njctl.org