Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Elementary Algebra
In the following exercises, simplify. 4. 169In the following exercises, simplify. 5. 9In the following exercises, simplify. 6. 16In the following exercises, simplify. 7. 100In the following exercises, simplify. 8. 144In the following exercises, simplify. 9. 4In the following exercises, simplify. 10. 100In the following exercises, simplify. 11. 1In the following exercises, simplify. 12. 121In the following exercises, simplify. 13. 121In the following exercises, simplify. 14. 36In the following exercises, simplify. 15. 9In the following exercises, simplify. 16. 49In the following exercises, simplify. 17. 9+16In the following exercises, simplify. 18. 25+144In the following exercises, simplify. 19. 9+16In the following exercises, simplify. 20. 25+144In the following exercises, approximate each square root and round to two decimal places. 21. 70In the following exercises, approximate each square root and round to two decimal places. 22. 55In the following exercises, approximate each square root and round to two decimal places. 23. 200In the following exercises, approximate each square root and round to two decimal places. 24. 172In the following exercises, approximate each square root and round to two decimal places. 25. 19In the following exercises, approximate each square root and round to two decimal places. 26. 21In the following exercises, approximate each square root and round to two decimal places. 27. 53In the following exercises, approximate each square root and round to two decimal places. 28. 47In the following exercises, simplify. 29. y2In the following exercises, simplify. 30. b2In the following exercises, simplify. 31. a14In the following exercises, simplify. 32. w24In the following exercises, simplify. 33. 49x2In the following exercises, simplify. 34. 100y2In the following exercises, simplify. 35. 121m20In the following exercises, simplify. 36. 25h44In the following exercises, simplify. 37. 81x36In the following exercises, simplify. 38. 144z84In the following exercises, simplify. 39. 81x18In the following exercises, simplify. 40. 100m32In the following exercises, simplify. 41. 64a2In the following exercises, simplify. 42. 25x2In the following exercises, simplify. 43. 144x2y2In the following exercises, simplify. 44. 196a2b2In the following exercises, simplify. 45. 169w8y10In the following exercises, simplify. 46. 81p24q6In the following exercises, simplify. 47. 9c8d12In the following exercises, simplify. 48. 36r6s20Decorating Denise wants to have a square accent of designer tiles in her new shower. She can afford to buy 625 square centimeters of the designer tiles. How long can a side of the accent be?Decorating Morris wants to have a square mosaic inlaid in his new patio. His budget allows for 2025 square inch tiles. How long can a side of the mosaic be?Why is there no real number equal to 64 ?What is the difference between 92 and 9 ?Simplify: 48 .Simplify: 45 .Simplify: 288 .Simplify: 432 .Simplify: b5 .Simplify: p9 .Simplify: 16x7 .Simplify: 49v9 .Simplify: 32y5 .Simplify: 75a9 .Simplify: 98a7b5 .Simplify: 180m9n11 .Simplify: 5+75 .Simplify: 2+98 .Simplify: 10755 .Simplify: 6453 .Simplify: 2516 .Simplify: 4981 .Simplify: 7548 .Simplify: 98162 .Simplify: a8a6 .Simplify: x 14x 10 .Simplify: 75x53x .Simplify: 72z 122z 10 .Simplify: 1949 .Simplify: 2881 .Simplify: 24p349 .Simplify: 48x5100 .Simplify: 80m3n6 .Simplify: 54u7v8 .Simplify: 64x79x3 .Simplify: 16a9100a5 .Simplify: 50x5y372x4y .Simplify: 48m7n2125m5n9 .In the following exercises, simplify. 53. 27In the following exercises, simplify. 54. 80In the following exercises, simplify. 55. 125In the following exercises, simplify. 56. 96In the following exercises, simplify. 57. 200In the following exercises, simplify. 58. 147In the following exercises, simplify. 59. 450In the following exercises, simplify. 60. 252In the following exercises, simplify. 61. 800In the following exercises, simplify. 62. 288In the following exercises, simplify. 63. 675In the following exercises, simplify. 64. 1250In the following exercises, simplify. 65. x7In the following exercises, simplify. 66. y11In the following exercises, simplify. 67. p3In the following exercises, simplify. 68. q5In the following exercises, simplify. 69. m13In the following exercises, simplify. 70. n21In the following exercises, simplify. 71. r25In the following exercises, simplify. 72. s33In the following exercises, simplify. 73. 49n17In the following exercises, simplify. 74. 25m9In the following exercises, simplify. 75. 81r15In the following exercises, simplify. 76. 100s19In the following exercises, simplify. 77. 98m5In the following exercises, simplify. 78. 32n11In the following exercises, simplify. 79. 125r13In the following exercises, simplify. 80. 80s15In the following exercises, simplify. 81. 200p13In the following exercises, simplify. 82. 128q3In the following exercises, simplify. 83. 242m23In the following exercises, simplify. 84. 175n13In the following exercises, simplify. 85. 147m7n11In the following exercises, simplify. 86. 48m7n5In the following exercises, simplify. 87. 75r13s9In the following exercises, simplify. 88. 96r3s3In the following exercises, simplify. 89. 300p9q11In the following exercises, simplify. 90. 192q3r7In the following exercises, simplify. 91. 242m13n21In the following exercises, simplify. 92. 150m9n3In the following exercises, simplify. 93. 5+12In the following exercises, simplify. 94. 8+96In the following exercises, simplify. 95. 1+45In the following exercises, simplify. 96. 3+125In the following exercises, simplify. 97. 10242In the following exercises, simplify. 98. 8804In the following exercises, simplify. 99. 3+903In the following exercises, simplify. 100. 15+755In the following exercises, simplify. 101. 4964In the following exercises, simplify. 102. 10036In the following exercises, simplify. 103. 12116In the following exercises, simplify. 104. 144169In the following exercises, simplify. 105. 7298In the following exercises, simplify. 106. 7512In the following exercises, simplify. 107. 45125In the following exercises, simplify. 108. 300243In the following exercises, simplify. 109. x 10x6In the following exercises, simplify. 110. p 20p 10In the following exercises, simplify. 111. y4y8In the following exercises, simplify. 112. q8q 14In the following exercises, simplify. 113. 200x72x3In the following exercises, simplify. 114. 98y 112y5In the following exercises, simplify. 115. 96p96pIn the following exercises, simplify. 116. 108q 103q2In the following exercises, simplify. 117. 3635In the following exercises, simplify. 118. 14465In the following exercises, simplify. 119. 2081In the following exercises, simplify. 120. 21196In the following exercises, simplify. 121. 96x7121In the following exercises, simplify. 122. 108y449In the following exercises, simplify. 123. 300m564In the following exercises, simplify. 124. 125n7169In the following exercises, simplify. 125. 98r5100In the following exercises, simplify. 126. 180s 10144In the following exercises, simplify. 127. 28q6225In the following exercises, simplify. 128. 150r3256In the following exercises, simplify. 129. 75r9s8In the following exercises, simplify. 130. 72x5y6In the following exercises, simplify. 131. 28p7q2In the following exercises, simplify. 132. 45r3s 10In the following exercises, simplify. 133. 100x536x3In the following exercises, simplify. 134. 49r 1216r6In the following exercises, simplify. 135. 121p581p2In the following exercises, simplify. 136. 25r864rIn the following exercises, simplify. 137. 32x5y318x3yIn the following exercises, simplify. 138. 75r6s848rs4In the following exercises, simplify. 139. 27p2q108p5q3In the following exercises, simplify. 140. 50r5s2128r2s5(a) Elliott decides to construct a square garden that will take up 288 square feet of his yard. Simplify 288 to determine the length and the width of his garden. Round to the nearest tenth of a foot. (b) Suppose Elliott decides to reduce the size of his square garden so that he can create a 5-footwide walking path on the north and east sides of the garden. Simplify 2885 to determine the length and width of the new garden. Round to the nearest tenth of a foot.(a) Melissa accidentally drops a pair of sunglasses from the top of a roller coaster, 64 feet above the ground. Simplify 6416 to determine the number of seconds it takes for the sunglasses to reach the ground. (b) Suppose the sunglasses in the previous example were dropped from a height of 144 feet. Simplify 144166 to determine the number of seconds it takes for the sunglasses to reach the ground.Explain why x4=x2 . Then explain why x16=x8 .Explain why 7+9 is not equal to 7+9 .Simplify: 8292 .Simplify: 5393 .Simplify: 2x+7x .Simplify: 5u+3u .Simplify: 7p6q .Simplify: 6a3b .Simplify: 411+211+311 .Simplify: 610+210+310 .Simplify: 5545+26 .Simplify: 3787+25 .Simplify: 7x77x+47x .Simplify: 43y73y+23y .Simplify: 5xy+45xy75xy .Simplify: 37mn+7mn47mn .Simplify: 18+62 .Simplify: 27+43 .Simplify: 3218 .Simplify: 2045 .Simplify: 427312 .Simplify: 320745 .Simplify: 2310857147 .Simplify: 3520034128 .Simplify: 2532138 .Simplify: 138014125 .Simplify: 32m750m7 .Simplify: 27p348p3 .Simplify: 532x2348x2 .Simplify: 748y2472y2 .Simplify: 312x22x48+427x2 .Simplify: 318x26x32+250x2 .In the following exercises, simplify. 145. 8252In the following exercises, simplify. 146. 7232In the following exercises, simplify. 147. 35+65In the following exercises, simplify. 148. 45+85In the following exercises, simplify. 149. 97107In the following exercises, simplify. 150. 117127In the following exercises, simplify. 151. 7y+2yIn the following exercises, simplify. 152. 9n+3nIn the following exercises, simplify. 153. a4aIn the following exercises, simplify. 154. b6bIn the following exercises, simplify. 155. 5c+2cIn the following exercises, simplify. 156. 7d+2dIn the following exercises, simplify. 157. 8a2bIn the following exercises, simplify. 158. 5c3dIn the following exercises, simplify. 159. 5m+nIn the following exercises, simplify. 160. n+3pIn the following exercises, simplify. 161. 87+27+37In the following exercises, simplify. 162. 65+35+5In the following exercises, simplify. 163. 311+211811In the following exercises, simplify. 164. 215+515915In the following exercises, simplify. 165. 3383+75In the following exercises, simplify. 166. 5787+63In the following exercises, simplify. 167. 62+2235In the following exercises, simplify. 168. 75+5810In the following exercises, simplify. 169. 32a42a+52aIn the following exercises, simplify. 170. 11b511b+311bIn the following exercises, simplify. 171. 83c+23c93cIn the following exercises, simplify. 172. 35d+85d115dIn the following exercises, simplify. 173. 53ab+3ab23abIn the following exercises, simplify. 174. 811cd+511cd911cdIn the following exercises, simplify. 175. 2pq5pq+4pqIn the following exercises, simplify. 176. 112rs92rs+32rssIn the following exercises, simplify. 177. 50+42In the following exercises, simplify. 178. 48+23In the following exercises, simplify. 179. 8035In the following exercises, simplify. 180. 2847In the following exercises, simplify. 181. 2775In the following exercises, simplify. 182. 7298In the following exercises, simplify. 183. 48+27In the following exercises, simplify. 184. 45+80In the following exercises, simplify. 185. 250372In the following exercises, simplify. 186. 398128In the following exercises, simplify. 187. 212+348In the following exercises, simplify. 188. 475+2108In the following exercises, simplify. 189. 2372+1550In the following exercises, simplify. 190. 2575+3448In the following exercises, simplify. 191. 12202345In the following exercises, simplify. 192. 23543496In the following exercises, simplify. 193. 16273848In the following exercises, simplify. 194. 183211050In the following exercises, simplify. 195. 149813128In the following exercises, simplify. 196. 1324+1454In the following exercises, simplify. 197. 72a550a5In the following exercises, simplify. 198. 48b575b5In the following exercises, simplify. 199. 80c720c7In the following exercises, simplify. 200. 96d924d9In the following exercises, simplify. 201. 980p4698p4In the following exercises, simplify. 202. 872q6375q6In the following exercises, simplify. 203. 250r8+454r8In the following exercises, simplify. 204. 527s6+220s6In the following exercises, simplify. 205. 320x2445x2+5x80In the following exercises, simplify. 206. 228x263x2+6x7In the following exercises, simplify. 207. 3128y2+4y162898y2In the following exercises, simplify. 208. 375y2+8y48300y228+68582327+3448175k463k456162+31612823632300150+4692825x8y813413313512c4327c680a545a5357514482119219500+4055627+58481111101175108298472424x254x2+3x6880y6648y6A decorator decides to use square tiles as an accent strip in the design of a new shower, but she wants to rotate the tiles to look like diamonds. She will use 9 large tiles that measure 8 inches on a side and 8 small tiles that measure 2 inches on a side. 9(82)+8(22) . Determine the width of the accent strip by simplifying the expression 9(82)+8(22) . (Round to the nearest tenth of an inch.)Suzy wants to use square tiles on the border of a spa she is installing in her backyard. She will use large tiles that have area of 12 square inches, medium tiles that have area of 8 square inches, and small tiles that have area of 4 square inches. Once section of the border will require 4 large tiles, 8 medium tiles, and 10 small tiles to cover the width of the wall. Simplify the expression 412+88+104 to determine the width of the wall.Explain the difference between like radicals and unlike radicals. Make sure your answer makes sense for radicals containing both numbers and variables.Explain the process for determining whether two radicals are like or unlike. Make sure your answer makes sense for radicals containing both numbers and variables.Simplify: (a) 36 (b) . (26)(312) ..Simplify: (a) 510 (b) (63)(56) .Simplify: (32)(230) .Simplify: (33)(36) .Simplify: (a) (6x3)(3x) (b) (2y3)(50y2) .Simplify: (a) (6x5)(2x) (b) (12y2)(3y5) .Simplify: (62x2)(845x4) .