number system -...

Name: ____________________________ Period: ____________

Advanced Unit 2:

NUMBER SYSTEM

CW-HW Packet

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?

This is a non-calculator

unit!

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Number System

Classwork – Show any work in the packet or on lined paper. No calculators! 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. Write a number to represent each situation:

a. The temperature falls 5½ degrees. ______________________

b. The team gains 25 yards. ______________________

c. You deposit $100.75 in your savings account. ______________________

d. You withdraw $75.13 dollars from your savings account. ______________________

e. The mountain is 1,500 feet above sea level. ______________________

6. Using the scoring system in the game of Jeopardy (you earn points for correct

responses and lose points for incorrect responses) what would be the final score after the following 5 responses:

a. Player 1 answers a 200 point question correct, a 150 point question wrong, a 50

point question correct, a 150 point question wrong, and 100 point question

correct. _________________________________________

b. Player 2 answers a 100 point question wrong, a 50 point question correct, a 100

point question correct, a 150 point question correct and 200 point question

wrong. _________________________________________

c. Player 3 gets a 200 point question correct, a 200 point question wrong, a 50

point question wrong, a 150 point question correct and a 200 point question

correct. _________________________________________

7. Use the Jeopardy scoring system and create a sequence of 5 answers that would give

you the following scores. (Questions can be worth 50, 100, 150, or 200 points each).

a. 300 points:________________________________________________________________________________

____________________________________________________________________________________________

b. -50 points: ________________________________________________________________________________

____________________________________________________________________________________________

c. 0 points: __________________________________________________________________________________

____________________________________________________________________________________________

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Homework – Show any work in the packet or on lined paper. No calculators! 8. What is the opposite of -50? ______________________

9. What is the opposite of 11.3? ______________________

10. What is the opposite of 2? ______________________

11. What is the opposite of -7.98? ______________________

12. Write a number to represent each situation:

a. The temperature rises 11.8 degrees. ______________________

b. The submarine dives 125 feet below sea level. ______________________

c. The team loses 15 yards. ______________________

d. You earn $35.25 babysitting. ______________________

e. A company loses $12,150.13 in a month. ______________________

13. Use the Jeopardy scoring system and create a sequence of 5 answers that would give you the following scores. (Questions can be worth 50, 100, 150, or 200 points each).

a. -150 points:_______________________________________________________________________________ ____________________________________________________________________________________________

b. 400 points :_______________________________________________________________________________

____________________________________________________________________________________________

c. 0 points :__________________________________________________________________________________

____________________________________________________________________________________________

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Absolute Value

Classwork – Show any work in the packet or on lined paper. No calculators! 14. Find:

a. │-12│= ______________________

b. │3

125 │ = ______________________

c. │-47.27│ = ______________________

d. │7

511 │ = ______________________

15. Which numbers have the number given as their absolute value?

a. 150 _______________________________

b. 75.47 _______________________________

c. 14½ _______________________________

d. 1250.3 _______________________________

16. How would you explain to a new student how to find the absolute value of -10 and +10? _____________________________________________________________________________________________________ _____________________________________________________________________________________________________ _____________________________________________________________________________________________________ _____________________________________________________________________________________________________

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Homework – Show any work in the packet or on lined paper. No calculators! 17. Find:

a. │9

213 │ = ______________________

b. │-35.74│ = ______________________

c. │-55│ = ______________________

d. │3½ │ = ______________________

18. Which numbers have the number given as their absolute value?

a. 72 _______________________________

b. 4

128 _______________________________

c. 155.35 _______________________________

d. 2500 _______________________________

19. How would you explain to a new student how to find the absolute value of 27.8 and -27.8?

_____________________________________________________________________________________________________

_____________________________________________________________________________________________________

_____________________________________________________________________________________________________

_____________________________________________________________________________________________________

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Comparing and Ordering Integers

Classwork – Show any work in the packet or on lined paper. No calculators! 20. Place the appropriate inequality symbol between the following pairs of integers:

a. 3 _______ -7

b. -8.75 _______ -10.3

c. 12 _______ -11

d. 7½ _______ 7½

e. -4 _______ 0

f. 0 _______ 3.5 21. Draw a number line and mark and label points for these numbers:

4.3, -7, 5, 0, -2.7, 1.8, -4.1

22. Draw a number line and mark and label points for these numbers:

-15.1, 0, 2

17 , 4, -3.8, -1.2, 9

23. If the temperature reading on a thermometer is 12°C, what will the new reading be if

the temperature:

a. Falls 15.3° _______________________________

b. Rises 3° _______________________________

c. Falls 5

212 ° _______________________________

24. If the temperature reading on a thermometer is -7°C, what will the new reading be if the

temperature:

a. Falls 3.9° _______________________________

b. Rises 9

85 ° _______________________________

c. Rises 9° _______________________________

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Homework – Show any work in the packet or on lined paper. No calculators! 25. Place the appropriate inequality symbol between the following pairs of integers:

a. 25 _______ -25

b. -30.3 _______ -30.3

c. 5

215 _______

5

215

d. -99.8 _______ -100.1

e. -5.75 _______ 0

f. 0 _______ -1


15.2, -3½ , 0, 3

112 , -9, 7.8, 11


-9.25, 1, 0, -3, 9.5, -1, 3

18

28. If the temperature reading on a thermometer is 5°C, what will the new reading be if the temperature:

a. Falls 15½ ° _______________________________

b. Rises 3.8° _______________________________

c. Falls 12° _______________________________

29. If the temperature reading on a thermometer is -10°C, what will the new reading be if the temperature:

a. Falls 3.9° _______________________________

b. Rises 5° _______________________________

c. Rises 9.12° _______________________________

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Adding Rational Numbers

Classwork – Show any work in the packet or on lined paper. No calculators!

30. Show the addition problem on a number line, and give the answer.

a. 4 + 2.5 = ______________________

b. 4 + (-2.5) = ______________________

c. -4 + 2.5 = ______________________

d. -4 + (-2.5) = ______________________

e. -4 + 4 = ______________________

31. 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. _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________

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32. Explain the absolute values approach to solving a problem adding and positive and a negative number. _____________________________________________________________________________________________________ _____________________________________________________________________________________________________ _____________________________________________________________________________________________________ _____________________________________________________________________________________________________

33. Find the sum.

a. 2.3 + (-4.8) = ______________________

b. -5 + (-6) = ______________________

c. -6 + 4 = ______________________

d. -10.9 + (-10.9) = ______________________

e. -8.23 + 8.23 = ______________________

f. 5 + (-5) = ______________________

g. -3 + 0 = ______________________

h. )2

14(

3

25 = ______________________

i. 4½ + (-3) = ______________________

j. -7 + 10 = ______________________

k. 25.8 + (-30) = ______________________

l. -40.32 + (-25) = ______________________

m. 5

525 + (-110) = ______________________

n. 35 + (-22) = ______________________

o. -250.3 + (-27.25) = ______________________

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34. Write three different addition problems that have a sum of:

a. 15 ______________________ ______________________ ______________________

b. 42 ______________________ ______________________ ______________________

c. -27

______________________ ______________________ ______________________

d. -3 ______________________ ______________________ ______________________

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Homework – Show any work in the packet or on lined paper. No calculators! 35. Show the addition problem on a number line, and give the answer.

a. -6.2 + (-4) = ______________________

b. -6.2 + 4 = ______________________

c. 6.2 + 4 = ______________________

d. 6.2 + -4 = ______________________

e. 6.2 + -6 = ______________________

36. Explain the absolute values approach to solving a problem adding two positives or two negatives. _____________________________________________________________________________________________________ _____________________________________________________________________________________________________ _____________________________________________________________________________________________________ _____________________________________________________________________________________________________

37. Find the sum.

a. -7 + 2 = ______________________

b. -2.3 + (-4.8) = ______________________

c. -1 + 8 = ______________________

d. )7(3

15

______________________

e. -2 + 9 = ______________________

f. -3 + (-8) = ______________________

g. -7 + 7 = ______________________

h. 0 + (-8.95) = ______________________

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i. -5.86 + 1 = ______________________

j. -9.3 + (-9.3) = ______________________

k. -75.9 + 78.2 = ______________________

l. -61 + (-32) = ______________________

m. 11.5 + (-98.5) = ______________________

n. )5

261(

5

453 = ______________________

o. -34.8 + (-82.6) = ______________________

38. Write three different addition problems that have a sum of:

a. -12

______________________ ______________________ ______________________

b. 5 ______________________ ______________________ ______________________

c. -20 ______________________ ______________________ ______________________

d. 33

______________________ ______________________ ______________________

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Turning Subtraction into Addition

Classwork – Show any work in the packet or on lined paper. No calculators! 39. 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. ____________________________________________________________________________________________ ____________________________________________________________________________________________

40. Convert the following subtraction problems into addition problems then find the sum.

a. -10 – 4 = ______________________ = ______________________

b. 12 – (-2) = ______________________ = ______________________

c. -5.8 – (-2.9) = ______________________ = ______________________

d. -12 – 3 = ______________________ = ______________________

e. 10.75 – 14 = ______________________ = ______________________

f. )2

17(

8

315

= ______________________ = ______________________

g. -1 – (-3) = ______________________ = ______________________

h. -2½ – 5 = ______________________ = ______________________

i. 5.6 – (-4.72) = ______________________ = ______________________

j. -2.8 – (-4.3) = ______________________ = ______________________

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k. 55.12 – (-20.34) = ______________________ = ______________________

l. -100 – (-99) = ______________________ = ______________________

m. -30.6 – 30.6 = ______________________ = ______________________

n. 45 - (-45) = ______________________ = ______________________

o. -175 – 30 = ______________________ = ______________________

41. Write three subtraction problems that have a difference of:

a. 4 ______________________ ______________________ ______________________

b. 17 ______________________ ______________________ ______________________

c. -19 ______________________ ______________________ ______________________

d. -2 ______________________ ______________________ ______________________

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Homework – Show any work in the packet or on lined paper. No calculators! 42. Convert the following subtraction problems into addition problems then find the sum.

a. -5 – (-4) = ______________________ = ______________________

b. 4.5 – (-3.3) = ______________________ = ______________________

c. -11.9 – 5.1 = ______________________ = ______________________

d. -3 – 5 = ______________________ = ______________________

e. -7.2 – (-2) = ______________________ = ______________________

f. 3

19

4

15 = ______________________ = ______________________

g. 3.12 – (-3.12) = ______________________ = ______________________

h. -2.4 – (-2.4) = ______________________ = ______________________

i. 7 – (-10) = ______________________ = ______________________

j. 9 – (-2½ ) = ______________________ = ______________________

k. 50 – (-25) = ______________________ = ______________________

l. -35.7 – 20.4 = ______________________ = ______________________

m. -100 – 99 = ______________________ = ______________________

n. 63 – (-33) = ______________________ = ______________________

o. -150 – 50 = ______________________ = ______________________

43. Write three subtraction problems that have a difference of:

a. 14 ______________________ ______________________ ______________________

b. -22 ______________________ ______________________ ______________________

c. -9 ______________________ ______________________ ______________________

d. 23 ______________________ ______________________ ______________________

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Adding and Subtracting Rational Numbers Review

Classwork – Show any work in the packet or on lined paper. No calculators! 44. 3.8 + (-8.5) = ______________________

45. 6 – (-4) = ______________________

46. (-9) – (-4) = ______________________

47. 3

15

5

27 = ______________________

48. -4.6 – (-2.6) = ______________________

49. -4 -10 = ______________________

50. 7

25

7

46 ______________________

51. -2 -7.8 = ______________________

52. -9 + 10 = ______________________

53. 8.65 + (-10) = ______________________

54. 2 – (-10.3) = ______________________

55. )4

12(

4

38 ______________________

56. -1 - 0 = ______________________

57. 8

310

8

15 ______________________

58. -1.9 – (-2.73) = ______________________

59. -6 + 2 = ______________________

60. 4½ + 1½ = ______________________

61. 0 – (-3.8) = ______________________

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62. -8 – (-2) = ______________________

63. -5 + (-6) = ______________________

64. )2

128(

4

352 ______________________

65. -41.3 + 53.2 = ______________________

66. )5

194(

5

214 ______________________

67. -28 + (-9) = ______________________

68. -88.88 – (-44.44) = ______________________

69. 4

121

8

571 ______________________

70. 38 + (-64) = ______________________

71. -71.3 + 21.6 = ______________________

72. 38 – (-64) = ______________________

73. -5 – 21 = ______________________

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Homework – Show any work in the packet or on lined paper. No calculators! 74. -8 + 6 = ______________________

75. -3.5 – 6.8 = ______________________

76. 7 + (-3) = ______________________

77. -8.3 – (-2.75) = ______________________

78. )3

210(

3

17 ______________________

79. -1 + (-3) = ______________________

80. )7

26(

7

41 ______________________

81. -6.9 + (-1.4) = ______________________

82. -2 – (-7) = ______________________

83. 3.9 + (-6.5) = ______________________

84. )6

22(

6

22 ______________________

85. )4

18(

4

15 ______________________

86. 2.4 – (-1.8) = ______________________

87. -1 – 8 = ______________________

88. -10 + 10 = ______________________

89. 4½ – 9 = ______________________

90. -2.9 + 1.24 = ______________________

91. 7 – (-7) = ______________________

92. -4 + (-2) = ______________________

93. -7 + 4 = ______________________

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94. 33.8 – (-58.4) = ______________________

95. 25 + (-49) = ______________________

96. 4

355

4

151 ______________________

97. 49 + (-69) = ______________________

98. 40.5 – (-2.6) = ______________________

99. 0 – (-92) = ______________________

100. -15.6 + 73.9 = ______________________

101. -60 – (-58) = ______________________

102. 71.7 + (-95.2) = ______________________

103. 50 -76 = ______________________

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Multiplying Rational Numbers

Classwork – Show any work in the packet or on lined paper. No calculators! 104. Show and solve the following multiplication problems on a number line:

a. 3(3) = ______________________

b. 2(-3.5) = ______________________

c. 5(-2) = ______________________

105. (7)(-2) = ______________________

106. (8)(-3) = ______________________

107. (-8)(7) = ______________________

108. (6)(8) = ______________________

109. (3)(-7) = ______________________

110. (1)(7) = ______________________

111. (0)(-9) = ______________________

112. (-2.5)(-2.1) = ______________________

113. (8.5)(-9.4) = ______________________

114. (-4.79)(-1) = ______________________

115. (-7.12)(8) = ______________________

116. (8.45)(-6) = ______________________

117. (1.001)(-1.1) = ______________________

118. (-9.75)(-5) = ______________________

119. (4.21)(-9.2) = ______________________

120. (1)(-5.786) = ______________________

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121. )2

16(

3

15 ______________________

122. )3

11(

4

12 ______________________

123. )0(8

57 ______________________

124. )4

14(

5

26 ______________________

125. )10(8

116 ______________________

126. )8

415(3 ______________________

127. (-33)(-13) = ______________________

128. (-77)(4) = ______________________

129. (20)(-40) = ______________________

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Homework – Show any work in the packet or on lined paper. No calculators! 130. Show and solve the following multiplication problems on a number line:

a. 2(3.5) = ______________________

b. 3(-2) = ______________________

c. 4(-3) = ______________________

131. (-1)(-8) = ______________________

132. (1)(-2) = ______________________

133. (-7)(8) = ______________________

134. (9)(1) = ______________________

135. (-6)(3) = ______________________

136. (2)(-5) = ______________________

137. (0)(-5) = ______________________

138. (7)(-3) = ______________________

139. (-8)(-2) = ______________________

140. (-5.21)(-5.3) = ______________________

141. (-9.12)(-7) = ______________________

142. (-5.8)(3.1) = ______________________

143. (4.87)(-1) = ______________________

144. (4.4)(4.4) = ______________________

145. (-2.86)(9.2) = ______________________

146. (9.3)(-9.3) = ______________________

147. (-6.2)(-9.1) = ______________________

148. (6.34)(2) = ______________________

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149. )4

34(

5

16 ______________________

150. )3

25(

5

14 ______________________

151. )51(5

262 ______________________

152. )60(3

213 ______________________

153. )6

18(

2

136 ______________________

154. )80(8

34 ______________________

155. (-10)(45) = ______________________

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Dividing Rational Numbers

Classwork – Show any work in the packet or on lined paper. No calculators! 156. Show the following division problems on a number line:

a. 10 ÷ 2 = ______________________

b. -12 ÷ 3 = ______________________

c. -9 ÷ 3 = ______________________

157. -45 ÷ 5 = ______________________

158. 56 ÷ 8 = ______________________

159. -12 ÷ -6 = ______________________

160. 7 ÷ -7 = ______________________

161. -9 ÷ 1 = ______________________

162. -6 ÷ -6 = ______________________

163. 0 ÷ -4 = ______________________

164. -18 ÷ -9 = ______________________

165. 27 ÷ 9 = ______________________

166. 3.5 ÷ -0.5 = ______________________

167. -5.525 ÷ 8.5 = ______________________

168. -63.84 ÷ -9.12 = ______________________

169. -36.9 ÷ 9 = ______________________

170. 6.6 ÷ -3.3 = ______________________

171. -40.8 ÷ -5.1 = ______________________

172. -1.63 ÷ -1.63 = ______________________

173. 0 ÷ -13.24 = ______________________

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174. -61.992 ÷ 7.2 = ______________________

175. )4

36(

4

120 ______________________

176. )4

16(

4

156 ______________________

177. )8

34(

4

126 ______________________

178. )5

44(15 ______________________

179. )4

313(

2

127 ______________________

180. )2

14(26 ______________________

181. -4230 ÷ -90 = ______________________

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Homework – Show any work in the packet or on lined paper. No calculators! 182. 5 ÷ -1 = ______________________

183. 24 ÷ 4 = ______________________

184. -3 ÷ -3 = ______________________

185. 0 ÷ 3 = ______________________

186. -10 ÷ 2 = ______________________

187. -6 ÷ 3 = ______________________

188. -40 ÷ -8 = ______________________

189. -4 ÷ 2 = ______________________

190. -25 ÷ -5 = ______________________

191. 49.2 ÷ -8.2 = ______________________

192. -78.72 ÷ 6 = ______________________

193. -2.4 ÷ -4 = ______________________

194. 0.128 ÷ 3.2 = ______________________

195. -1.53 ÷ 51 = ______________________

196. -1.92 ÷ -1.92 = ______________________

197. 6.64 ÷ -8 = ______________________

198. 57.6 ÷ -8 = ______________________

199. )4(5

35 ______________________

200. )3

23(

3

214 ______________________

201. )8

18(

8

324 ______________________

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202. )8

34(35 ______________________

203. )4

12(

2

15 ______________________

204. 20÷ -6 = ______________________

205. -212 ÷ -53 = ______________________

206. 4050 ÷ 75 = ______________________

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Operations with Rational Numbers

Classwork – Show any work in the packet or on lined paper. Circle your final answers. No calculators! 207. )3(515

208. [-2 – (-3)] + [4(-9 – 3)] 209. (-8 – 4 + 6)[-7(5 – 9)]

210. -3(4.4) + [-8 – (-3)(2)]

211. )8.2(36.15

212. 820

)25.3(452

213. )2

14)(

4

13()

2

114(3

214. )]3

12

3

14(3

5

18[23

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Homework – Show any work in the packet or on lined paper. Circle your final answers. No calculators! 215. )4(624

216. [(-5) + (-3)] + [(-5)(-2 – 4)]

217. [-7 – (-3) + 5] [-3(7 – 11)]

218. -3.2(2.8) + [-2 – (-5)(-3)]

219. )7.1)(3(4.17

220. )20(16

)7.3)(4.2(42

221. )4

12)(4()

4

11

4

32(7

222. )]7

22

7

25(3

5

28[32

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Converting Rational Numbers to Decimals

Classwork Convert each Rational Number to Decimal Form. Show any work in the packet or on lined paper. Circle your final answers. No calculators!

223. 9

4

224. 6

16

225. 8

321

226. 11

2

227. 4

311

228. 8

56

229. 3

14

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Homework Convert each Rational Number to Decimal Form. Show any work in the packet or on lined paper. Circle your final answers. No calculators!

230. 6

5

231. 9

14

232. 8

715

233. 11

7

234. 4

323

235. 8

32

236. 6

25

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Unit Review

Multiple Choice Questions

Choose the correct answer for each question. No partial credit will be given. Show any work in the packet or on lined paper. No calculators! 1. What is the opposite of 5?

a) 5 b) -5 c) 0

2. What is │23

│?

a) 23

b) -23

c) 0

3. What is │-7│? a) 7 b) -7 c) 0

4. -11 -10

a) b) = c)

5. -20.0 -19.9

a) b) = c)

6. -9 -9 ¼

a) b) = c)

7. If the temperature reading on a thermometer is -5°C, what will the new reading be if the

temperature rises 8.4°C? a) -13.4°C b) -3.4°C c) 3.4°C d) 13.4°C

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8. A submarine is cruising at -40 meters (40 meters below the surface). It descends 20

meters; then it rises 15

meters. What is the submarine’s new depth?

a) 8315 m

b) 4160 m

c) 8744 m

d) None of the above

9. The temperature in North Dakota was 5°C at 4 A.M. It had risen 13°C since midnight.

What was the temperature at midnight? a) -8°C b) -4°C c) 8°C d) 18°C

10. Convert the subtraction problem into an addition problem. 10 – (- 5)

a) -10 + 5 b) -10 + (-5) c) 10 + 5 d) 10 + (-5)

11. Convert the subtraction problem into an addition problem. 8.75 – 4.3

a) -8.75+ 4.3 b) -8.75 + (-4.3) c) 8.75 + 4.3 d) 8.75 + (-4.3)

12. Simplify: -12 + 6 – (-3)

a) -3 b) -9 c) 9 d) 3

13. Simplify: 10 + (-2) – (-17) – 5

a) 25 b) 20 c) -14 d) 14

14. Simplify: -1 + 3.1(4 –6)

a) 0.1 b) -2.1 c) -1.1 d) -7.2

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15. Simplify: 6 – 4[(5 ½)(-4) + (-3 ¼)] a) -95.25 b) -95 c) -50.5 d) 107

Short Constructed Response Questions Write the correct answer for each question. No partial credit will be given. Show any work in the packet or on lined paper. No calculators! 16. Name the two numbers that have 10 as their absolute value _________________ In Questions 17-18, use a number line to illustrate the given problem. 17. -6 + 7 = ______________________ 18. 9 + -3 = ______________________ 19. Simplify. Show each step.

3

⌈ (2 ) (

2

7 ( 3

3

7))⌉

20. Convert the fraction into a decimal. Show all work.

2

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Extended Constructed Response Questions Solve the problem, showing all work in the packet. Partial credit may be given. 21. 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.

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22. 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?

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23. 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.

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24. The test was worth 100 points. Each multiple choice question was worth 3 points, each short answer was worth 4 points and each extended response question was worth 5 points. There was a bonus question worth points. Mark’s answers contained incorrect responses to the following: 2 multiple choice, 2 short answer, 1 extended response. Mark’s answer to the bonus question was correct. Mark hoped to earn at least a “B” on the test, which means his score had to be between 80 – 89.

How many points did Mark lose due to incorrect answers? Did Mark earn a “B” as he had hoped? What would Mark’s score have been if his extended response answer was

correct and he had one more multiple choice answer incorrect?

number system -...

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