preguntas capítulo...

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.


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


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


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


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


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


14.

a. 12

b. 25

c. 47

d. 13

15.

a. -150, 150

b. -75, 75

c. -14, 14

d. -1250, 1250


17.

a. 32

b. 35

c. 55

d. 3

18.

a. -72, 72

b. -28, 28

c. -155, 155

d. -2500, 2500


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


35.

a. -10

b. -2

c. 10

d. 2

e. 0


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


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


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


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.


240.

a. 7

b. 4

c. 2

d. 6

e. 8

f. 2


242.

a. 2

b. 3

c. -3

d. -2

e. 5

f. 7

243.

a. 12

b. 20

c. 6

d. 14

e. 48


245. a-f = 1


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.

preguntas capítulo...

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