Post on 02-Nov-2019
Preguntas Capítulo Entero
1. ¿Qué es un número entero?
2. Explique lo que representa el valor absoluto.
3. Crear un ejemplo debiendo dinero para comparar dos números negativos.
4. Explicar cómo se puede utilizar un valor absoluto a sumar enteros.
5. ¿Por qué los problemas de resta enteros se convirtieron en problemas de sumas?
6. ¿Por qué son las reglas para multiplicar y dividir números enteros del mismo?
7. ¿Por qué una respuesta diferente de (-3)2 y -32?
8. Explique las reglas para multiplicar y dividir de los exponentes.
Problemas capítulo entero
Definición Entero Trabajo de Clase 1. Nombre 5 enteros. 2. Nombre de 5 números que no son enteros. 3. ¿Qué es lo opuesto a la 20? 4. ¿Cuál es el opuesto de -13? 5. Escribir un entero para representar a cada situación: a. La temperatura cae 5 grados. b. El equipo gana 25 yardas. c. Usted deposita $ 100 en su cuenta de ahorros. d. Que retirar $ 75 dólares de su cuenta de ahorros. e. La montaña es de 1.500 metros sobre el nivel del mar. 6. Utilizando el sistema de puntuación en el juego de “Jeopardy” (ganar puntos para las respuestas correctas y perder puntos por las respuestas incorrectas) lo que sería el resultado final después de los siguientes 5 respuestas: a. El jugador 1 responde a una pregunta correcta 200 puntos, 150 puntos una pregunta equivocada, una pregunta de 50 puntos correctos, una pregunta equivocada 150 puntos y 100 puntos la pregunta correcta. b. El jugador 2 responde a una pregunta de 100 puntos mal, una pregunta de 50 puntos correctos, una pregunta de 100 puntos correctos, una pregunta 150 punto correcto y 200 preguntas punto equivocado. c. El jugador 3 se trata de 200 puntos correctos, una pregunta de 200 puntos mal, una pregunta de 50 puntos mal, una pregunta 150 punto correcto y una pregunta de 200 puntos correctos. 7. Utilice el sistema de puntuación “Jeopardy” y crear una secuencia de cinco respuestas que le daría una puntuación de: a. 300 puntos b. -50 puntos c. 0 puntos Tarea
8. ¿Cuál es el opuesto de -50? 9. ¿Qué es lo opuesto a la 11? 10. ¿Qué es lo contrario de 2? 11. ¿Cuál es el opuesto de -7? 12. Escribir un entero para representar a cada situación: a. La temperatura se eleva de 11 grados. b. Las inmersiones submarinas 125 metros bajo el nivel del mar. c. El equipo pierde 15 yardas. d. Usted gana $ 35 de niñera. e. Una compañía pierde $ 12,000 en un mes.
13. Utilice el sistema de puntuación “Jeopardy” y crear una secuencia de cinco respuestas que le daría una puntuación de: a. -150 puntos b. 400 puntos c. 0 puntos Valor Absoluto
Trabajo de Clase
14. Encontrar:
a. │-12│
b. │25│
c. │-47│
d. │13│
15. ¿Qué números tienen el número en particular como su valor absoluto?
a. 150
b. 75
c. 14
d. 1250
16. ¿Cómo explicaría a un nuevo estudiante a encontrar el valor absoluto de -10 y +10?
Tarea
17. Encontrar:
a. │32│
b. │-35│
c. │-55│
d. │3│
18. ¿Qué números tienen el número en particular como su valor absoluto?
a. 72
b. 28
c. 155
d. 2500
19. ¿Cómo explicaría a un nuevo estudiante a encontrar el valor absoluto de 27 y -27?
Comparing and Ordering Integers
Classwork
20. Place the appropriate inequality symbol between the following pairs of integers:
a. 3 -7
b. -8 -10
c. 12 -11
d. 7 7
e. -4 0
f. 0 5
21. Draw a number line and mark and label points for these numbers: 4, -7, 5, 0, -2, 1, -4
22. Draw a number line and mark and label points for these numbers: -15, 0, 7, 4, -3, -1, 9
23. If the temperature reading on a thermometer is 12°C, what will the new reading be if the temperature:
a. Falls 15°
b. Rises 3°
c. Falls 12°
24. If the temperature reading on a thermometer is -7°C, what will the new reading be if the temperature:
a. Falls 3°
b. Rises 5°
c. Rises 9°
Homework
25. Place the appropriate inequality symbol between the following pairs of integers:
a. 25 -25
b. -30 -30
c. -17 -15
d. -99 -100
e. -5 0
f. 0 -1
26. Draw a number line and mark and label points for these numbers: 15, -3, 0, 5, -9, 7, 11
27. Draw a number line and mark and label points for these numbers: -9, 1, 0, -3, 9, -1, -8
28. If the temperature reading on a thermometer is 5°C, what will the new reading be if the temperature:
a. Falls 15°
b. Rises 3°
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°
b. Rises 5°
c. Rises 9°
Integer Addition
Classwork
30. 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
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.
32. Explain the absolute values approach to solving a problem adding and positive and a negative
number.
33. Find the sum.
a. 2 + (-4) =
b. -5 + (-6) =
c. -6 + 4 =
d. -10 + (-10) =
e. -8 + 8 =
f. 5 + (-5) =
g. -3 + 0 =
h. -5 + (-1) =
i. 4 + (-3) =
j. -7 + 10 =
k. 25 + (-30) =
l. -40 + (-25) =
m. 105 + (-110) =
n. 35 + (-22) =
o. -250 + (-27) =
34. Write three addition problems that have a sum of:
a. 15
b. 42
c. -27
d. -3
Homework
35. 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
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 + (-4) =
c. -1 + 8 =
d. 5 + (-7) =
e. -2 + 9 =
f. -3 + (-8) =
g. -7 + 7 =
h. 0 + (-8) =
i. -5 + 1 =
j. -9 + (-9) =
k. -75 + 78 =
l. -61 + (-32) =
m. 11 + (-98) =
n. -53 + (-61) =
o. -34 + (-82) =
38. Write three addition problems that have a sum of:
a. -12
b. 5
c. -20
d. 33
Turning Subtraction into Addition
Classwork
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 – (-2)
d. -12 – 3
e. 10 – 14
f. -15 – (-7)
g. -1 – (-3)
h. -2 – 5
i. 5 – (-4)
j. -2 – (-4)
k. 55 – (-20)
l. -100 – (-99)
m. -30 – 30
n. 45 - (-45)
o. -175 – 30
41. Write three subtraction problems that have a difference of:
a. 4
b. 17
c. -19
d. -2
Homework
42. Convert the following subtraction problems into addition problems, then find the sum.
a. -5 – (-4) =
b. 4 – (-3) =
c. -11 – 5 =
d. -3 – 5 =
e. -7 – (-2) =
f. 5 – 9 =
g. 3 – (-3) =
h. -2 – (-2) =
i. 7 – (-10) =
j. 9 – (-2) =
k. 50 – (-25) =
l. -35 – 20 =
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
Adding and Subtracting Integers Review
Classwork
44. 3 + (-8) =
45. 6 – (-4) =
46. (-9) – (-4) =
47. 7 – 5 =
48. -4 – (-2) =
49. -4 -10 =
50. 6-5 =
51. -2 -7 =
52. -9 + 10 =
53. 8 + (-10) =
54. 2 – (-10) =
55. 8 – (-2) =
56. -1 - 0 =
57. -5 + (-10) =
58. -1 – (-2) =
59. -6 + 2 =
60. 4 + 1 =
61. 0 – (-3) =
62. -8 – (-2) =
63. -5 + (-6) =
64. 52 + (-28) =
65. -41 + 53 =
66. 14 – (-94) =
67. -28 + (-9) =
68. -88 – (-44) =
69. -71 + 21 =
70. 38 + (-64) =
71. -71 + 21 =
72. 38 – (-64) =
73. -5 – 21 =
Homework
74. -8 + 6 =
75. -3 – 6 =
76. 7 + (-3) =
77. -8 – (-2) =
78. 7 + (-10) =
79. -1 + (-3) =
80. 1 – (-6) =
81. -6 + (-1) =
82. -2 – (-7) =
83. 3 + (-6) =
84. 2 + (-2) =
85. -5 – (-8) =
86. 2 – (-1) =
87. -1 – 8 =
88. -10 + 10 =
89. 4 – 9 =
90. -2 + 1 =
91. 7 – (-7) =
92. -4 + (-2) =
93. -7 + 4 =
94. 33 – (-58) =
95. 25 + (-49) =
96. 51 – 55 =
97. 49 + (-69) =
98. 40 – (-2) =
99. 0 – (-92) =
100. -15 + 73 =
101. -60 – (-58) =
102. 71 + (-95) =
103. 50 -76 =
Multiplying Integers
Classwork
104. Show the following multiplication problems on a number line:
a. 3(3) =
b. 2(-3) =
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)(-2) =
113. (8)(-9) =
114. (-4)(-1) =
115. (-7)(8) =
116. (8)(-6) =
117. (1)(-1) =
118. (-9)(-5) =
119. (4)(-9) =
120. (1)(-5) =
121. (5)(6) =
122. (3)(-1) =
123. (-4)(0) =
124. (-6)(-4) =
125. (-82)(-10) =
126. (-3)(46) =
127. (-33)(-13) =
128. (-77)(4) =
129. (20)(-40) =
Homework
130. Show the following multiplication problems on a number line:
a. 2(3) =
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)(-5) =
141. (-9)(-7) =
142. (-5)(3) =
143. (4)(-1) =
144. (4)(4) =
145. (-2)(9) =
146. (9)(-9) =
147. (-6)(-9) =
148. (6)(2) =
149. (-6)(4) =
150. (-4)(-5) =
151. (-67)(51) =
152. (13)(-50) =
153. (36)(-55) =
154. (-61)(-80) =
155. (-10)(45) =
Dividing Integers
Classwork
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. 35 ÷ -5 =
167. -40 ÷ 8 =
168. -42 ÷ -6 =
169. -36 ÷ 6 =
170. 6 ÷ -3 =
171. -45 ÷ -5 =
172. -1 ÷ -1 =
173. 0 ÷ -7 =
174. -56 ÷ 7 =
175. -12 ÷ -4 =
176. 18 ÷ 2 =
177. 704 ÷ -11 =
178. -114 ÷ -6 =
179. 2100 ÷ -60 =
180. 861 ÷ -41 =
181. -4230 ÷ -90
Homework
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. 48 ÷ -8 =
192. -36 ÷ 6 =
193. -24 ÷ -4 =
194. 12 ÷ 3 =
195. -15 ÷ 5 =
196. -1 ÷ -1 =
197. 64 ÷ -8
198. 56 ÷ -7 =
199. -54 ÷ -9 =
200. -20 ÷ -4 =
201. 100 ÷ -10 =
202. 416 ÷ -16 =
203. -396 ÷ -4 =
204. 1530 ÷ -51 =
205. -212 ÷ -53 =
206. 4050 ÷ 75 =
Powers of Integers
Classwork
207. What is the base and exponent in the following expressions?
a. 53
b. 89
c. 112
208. 62 = 36, what does this have to do with a square?
209. 63 = 216, what does this have to do with a cube?
210. 32 =
211. (-3)2 =
212. -32 =
213. 33 =
214. (-3)3 =
215. -33 =
216. 34 =
217. (-3)4 =
218. -34 =
219. 35 =
220. (-3)5 =
221. -35 =
222. After evaluating the above, what patterns do you notice? Is there a pattern if you look at the
exponents in terms of odd or even?
Homework
223. What is the base and exponent in the following expressions?
a. 35
b. 58
c. 153
224. 72 = 49, what does this have to do with a square?
225. 73 = 343, what does this have to do with a cube?
226. 52 =
227. (-5)2 =
228. -52 =
229. 43 =
230. (-4)3 =
231. -43 =
232. 34 =
233. (-3)4 =
234. -34 =
235. 25 =
236. (-2)5 =
237. -25 =
238. After evaluating the above with different bases are the patterns you noticed the same as in the
classwork?
Rules for Exponents
Classwork
239. Write an explanation for multiplying exponents with the same base.
240. Complete each equation for the missing value:
a. (52)(55) = 5?
b. (127)(123) = 12?
c. (3-2)(35) = 3?
d. (49)(4-3) = 4?
e. (54)(5?) = 512
f. (107)(10?)(10-6) = 103
241. Write an explanation for dividing exponents with the same base.
242. Complete each equation for the missing value:
a. 34 ÷ 32 = 3?
b. 6
9
5
5= 5?
c. 8
5
9
9 = 9?
d. 124 ÷ 126 = 12?
e. 108 ÷ 10? = 103
f. 3
?
2
2= 24
243. Complete each equation for the missing value:
a. (124)3 = 12?
b. (95)4 = 9?
c. (342)3 = 34?
d. (57)2 = 5?
e. (312)4 = 3?
244. Write an explanation for solving with an exponent of zero.
245. Evaluate:
a. 20 =
b. 50 =
c. 330 =
d. (-1)0 =
e. (-4)0 =
f. (-22)0 =
246. Write an explanation for evaluating an expression with a negative exponent.
247. Evaluate:
a. 3-2 =
b. 5-2 =
c. 2-4 =
d. 53
1
=
e. 34
1
=
f. 52
1
=
Homework
248. Complete each equation for the missing value:
a. (122)(127) = 12?
b. (25)(22) = 2?
c. (5-3)(55) = 5?
d. (158)(15-5) = 15?
e. (67)(6?) = 615
f. (11-6)(11?)(118) = 115
249. Complete each equation for the missing value:
a. 77 ÷ 73 = 7?
b. 6
10
11
11= 11?
c. 37 ÷ 39 = 3?
d. 10
6
2
2 = 2?
e. ?
6
13
13= 132
f. 5? ÷ 56 = 53
250. Complete each equation for the missing value:
a. (86)4 = 8?
b. (113)9 = 11?
c. (43)5 = 4?
d. (26)8 = 2?
e. (124)5 = 12?
251. Evaluate:
a. 140 =
b. 70 =
c. 60 =
d. 100 =
e. (-8)0 =
f. (-15)0 =
252. Evaluate:
a. 2-3 =
b. 4-3 =
c. 5-2 =
d. 42
1
=
e. 33
1
=
f. 27
1
=
Integer Unit Multiple Choice Questions
1. What is the opposite of 15?
a) 15
b) 0
c) -15
2. What is the opposite of -9?
a) 9
b) 0
c) -9
3. What is │11│?
a) -11
b) 11
c) 0
4. What is │-25│?
a) 25
b) -25
c) 0
5. 5 -3
a)
b) =
c)
6. 0 -11
a)
b) =
c)
7. -8 8
a)
b) =
c)
8. -18 -9
a)
b) =
c)
9. -10 -11
a)
b) =
c)
10. If the temperature reading on a thermometer is 19°C, what will the new reading be if the temperature
falls 10°C?
a) 29°C
b) -9°C
c) 9°C
d) 0°C
11. A submarine is cruising at -55 meters (55 meters below the surface). It descends 15 meters; then it
rises 40 meters. What is the submarine’s new depth?
a) 0 m
b) -20 m
c) -110 m
d) -30 m
12. The temperature in Atlantic City was -10°C at 4 A.M. It had fallen 7°C since 3 A.M. What was the
temperature at 3 A.M.?
a) -17°C
b) -3°C
c) 3°C
d) 17°C
13. Convert the subtraction problem into an addition problem. -12 – 9
a) -12 + 9
b) -12 + (-9)
c) 12+ 9
d) 12 + (-9)
14. Convert the subtraction problem into an addition problem. 3 – (-7)
a) -3+ 7
b) -3 + (-7)
c) 3 + 7
d) 3 + (-7)
15. Which expression equals 25?
a) -52
b) (-5)2
c) -55
d) (-5)5
16. Which expression does not equal -16?
a) -42
b) (-4)2
c) -161
d) -24
17. What is the missing value in the equation: (53)(54) = 5?
a) 7
b) 12
c) -1
d) 5
18. What is the missing value in the equation: 79 ÷ 73 = 7?
a) 3
b) 6
c) -3
d) -6
19. What is the missing value in the equation: (615)3 = 6?
a) 5
b) 18
c) 45
d) 12
20. Evalute 150 =
a) 15
b) 1
c) 0
d) -1
Integer Unit Short Constructed Response Unit Review
21. Which two numbers have 56 as their absolute value? _________________
Write the addition sentence illustrated by each figure.
22.
23.
24.
25.
Simplify
26. -8 + 14 = _____
27. 22 + (-5) = _____
28. -9 + (-6) = _____
29. 6 + (-6) = _____
30. -7 + 9 = _____
31. 12 – (-18) = _____
32. -3 – (-6) = _____
33. -9 – (-9) = _____
34. 18 – 11 = _____
35. -8 – (-1) = _____
36. (-4)(8) = _____
37. (-7)(-7) = _____
38. (-6)(-9) = _____
39. (3)(-7) = _____
40. (16)(0) = _____
41. (16) ÷ (-2) = _____
42. (-10) ÷ (-10) = _____
43. 144
−12= _____
44. −18
−3= _____
45. (9) ÷ (-3) = _____
Integer Unit Extended Constructed Response Unit Review
46. John had a balance of $105 in his bank account at the start of the week. He withdrew $45
on Monday, $76 on Wednesday, and $35 on Thursday. On Friday he deposited $120.
At the end of the week, does John 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.
Answer Key
1. For example: 3, 4, 5, -2, -2
2. For example: ½, -3/4, 0.4, √5, π
3. -20
4. 13
5.
a. -5
b. +25
c. +100
d. -75
e. +1,500
6.
a. 50
b. -50
c. 300
7. Answers will vary.
8. 50
9. -11
10. -2
11. 7
12.
a. +11
b. -125
c. -15
d. +35
e. -12,000
13. Answers will vary.
14.
a. 12
b. 25
c. 47
d. 13
15.
a. -150, 150
b. -75, 75
c. -14, 14
d. -1250, 1250
16. Answers will vary.
17.
a. 32
b. 35
c. 55
d. 3
18.
a. -72, 72
b. -28, 28
c. -155, 155
d. -2500, 2500
19. Answers will vary.
20.
a. 3 ˃ -7
b. -8 ˃ -10
c. 12 ˃ -11
d. 7 = 7
e. -4 ˂ 0
f. 0 ˂ 5
21. Order on number line: -7, -4, -2, 0, 1,
4, 5
22. Order on number line: -15, -3, -1, 0, 4,
7, 9
23.
a. -3
b. 15
c. 0
24.
a. -4
b. -2
c. 2
25.
a. 25 ˃ -25
b. -30 = -30
c. -17 ˂ -15
d. -99 ˃ -100
e. -5 ˂ 0
f. 0 ˃ -1
26. Order on number line: -9, -3, 0, 5, 11,
15
27. Order on number line: -9, -8, -3, -1, 0,
1, 9
28.
a. -10
b. 8
c. 17
29.
a. -13
b. -5
c. -1
30.
a. 6
b. 2
c. -2
d. -6
e. 0
31.
a. Always true
b. Sometimes true
c. Always true
32. Answers will vary
33.
a. -2
b. -11
c. -2
d. -20
e. 0
f. 0
g. -3
h. -6
i. 1
j. 3
k. -5
l. -65
m. -5
n. 13
o. -277
34. Answers will vary
35.
a. -10
b. -2
c. 10
d. 2
e. 0
36. Answers will vary
37.
a. -5
b. -6
c. 7
d. -2
e. 7
f. -11
g. 0
h. -8
i. -4
j. -18
k. 3
l. -93
m. -87
n. -114
o. -116
38. Answers will vary
39.
a. Always false
b. Sometimes true
40.
a. -14
b. 14
c. -3
d. -15
e. -4
f. -8
g. 2
h. 3
i. 9
j. 2
k. 75
l. -1
m. -60
n. 90
o. -205
41. Answers will vary
42.
a. -1
b. 7
c. -16
d. 2
e. -5
f. -4
g. 6
h. 0
i. 17
j. 11
k. 75
l. -55
m. -199
n. 96
o. -200
43. Answers will vary
44. -5
45. 10
46. -5
47. 2
48. -2
49. -14
50. 1
51. -9
52. 1
53. -2
54. 12
55. 10
56. -1
57. -15
58. 1
59. -4
60. 5
61. 3
62. -6
63. -11
64. 24
65. 12
66. 108
67. -37
68. -44
69. -30
70. -26
71. -50
72. 102
73. -26
74. -2
75. -9
76. 4
77. -6
78. -3
79. -4
80. 7
81. -7
82. 5
83. -3
84. 0
85. 3
86. 3
87. -9
88. 0
89. -5
90. -1
91. 0
92. -6
93. -3
94. 91
95. -24
96. -4
97. -20
98. 42
99. 92
100. 58
101. -2
102. -24
103. -26
104.
a. 9
b. -6
c. -10
105. -14
106. -24
107. -56
108. 48
109. -21
110. 7
111. 0
112. 4
113. -72
114. 4
115. -56
116. -48
117. -1
118. 45
119. -36
120. -5
121. 30
122. -3
123. 0
124. 24
125. 820
126. -138
127. 429
128. -308
129. -800
130.
a. 6
b. -6
c. -12
131. 8
132. -2
133. -56
134. 9
135. -18
136. -10
137. 0
138. -21
139. 16
140. 25
141. 63
142. -15
143. -4
144. 16
145. -18
146. -81
147. 54
148. 12
149. -24
150. 20
151. -3417
152. -650
153. -1980
154. 4880
155. -450
156.
a. 5
b. -4
c. -3
157. -9
158. 7
159. 2
160. -1
161. -9
162. 1
163. 0
164. 2
165. 3
166. -7
167. -5
168. 7
169. -6
170. -2
171. 9
172. 1
173. 0
174. -8
175. 3
176. 9
177. -64
178. 19
179. -35
180. -21
181. 47
182. -5
183. 6
184. 1
185. 0
186. -5
187. -2
188. 8
189. -2
190. 8
191. -6
192. -6
193. 6
194. 4
195. -3
196. 1
197. –8
198. -8
199. 6
200. 5
201. -10
202. -26
203. 99
204. -30
205. 4
206. 54
207.
a. base = 5 exponent = 3
b. base = 8 exponent = 9
c. base = 11 exponent = 2
208. 36 is the area of a square with side
lengths of 6.
209. 216 is the volume of a cube with side
lengths of 6.
210. 9
211. 9
212. -9
213. 27
214. -27
215. -27
216. 81
217. 81
218. -81
219. 243
220. -243
221. -243
222. If the negative sign is inside the
parenthesis, and the exponent is odd, the
answer is negative. If the negative sign is
inside the parenthesis, and the exponent is
even, the answer is positive.
223.
a. base = 3 exponent = 5
b. base = 5 exponent = 8
c. base = 15 exponent = 3
224. 49 is the area of a square with side
lengths of 7.
225. 343 is the volume of a cube with side
lengths of 7.
226. 25
227. 25
228. -25
229. 64
230. -64
231. -64
232. 81
233. 81
234. -81
235. 32
236. -32
237. -32
238. Yes, if the negative sign is inside the
parenthesis, and the exponent is odd, the
answer is negative. If the negative sign is
inside the parenthesis, and the exponent is
even, the answer is positive.
239. Answers will vary
240.
a. 7
b. 4
c. 2
d. 6
e. 8
f. 2
241. Answers will vary
242.
a. 2
b. 3
c. -3
d. -2
e. 5
f. 7
243.
a. 12
b. 20
c. 6
d. 14
e. 48
244. Answers will vary
245. a-f = 1
246. Answers will vary
247.
a. 1/9
b. 1/25
c. 1/16
d. 243
e. 64
f. 32
248.
a. 9
b. 7
c. 2
d. 3
e. 8
f. 3
249.
a. 4
b. 4
c. -2
d. -4
e. 4
f. 9
250.
a. 24
b. 27
c. 15
d. 48
e. 20
251. a-f = 1
252.
a. 1/8
b. 1/64
c. 1/25
d. 16
e. 27
f. 49
Unit Review Questions
1. C
2. A
3. B
4. A
5. A
6. A
7. C
8. C
9. A
10. C
11. D
12. B
13. B
14. C
15. B
16. B
17. A
18. B
19. C
20. B
21. 56, -56
22. -6 + 13 = 7
23. -2 + -8 = -10
24. -4 + 14 = 10
25. 7 + -3 = 4
26. 6
27. 17
28. -15
29. 0
30. 2
31. 30
32. 3
33. 0
34. 7
35. -7
36. -32
37. 49
38. 54
39. -21
40. 0
41. -8
42. 1
43. -12
44. 6
45. -3
46. John has less money at the end of the
week. He has $40 less.