Elementary Algebra 17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: Lynn Marecek, MaryAnne Anthony-Smith
1 Foundations 2 Solving Linear Equations And Inequalities 3 Math Models 4 Graphs 5 Systems Of Linear Equations 6 Polynomials 7 Factoring 8 Rational Expressions And Equations 9 Roots And Radicals 10 Quadratic Equations Chapter1: Foundations
1.1 Introduction To Whole Numbers 1.2 Use The Language Of Algebra 1.3 Add And Subtract Integers 1.4 Multiply And Divide Integers 1.5 Visualize Fractions 1.6 Add And Subtract Fractions 1.7 Decimals 1.8 The Real Numbers 1.9 Properties Of Real Numbers 1.10 Systems Of Measurement Chapter Questions Section1.2: Use The Language Of Algebra
Problem 1.23TI: Translate from algebra into English: (a)1427 (b)1928 (c)1242 (d)x71 Problem 1.24TI: Translate from algebra into English: (a)1915 (b)7=125 (c)1538 (d)y+36 Problem 1.25TI: Determine if each is an expression or an equation: (a) 3(x7)=27 (b) 5(4y2)7 Problem 1.26TI: Determine if each is an expression or an equation: (a)y214 (b)4x6=22 . Problem 1.27TI: Simplify: (a)53 (b)17 . Problem 1.28TI: Simplify: (a) 72 (b) 05 . Problem 1.29TI: Simplify: (a)1252 (b)(125)2 Problem 1.30TI: Simplify: (a)8+39 (b)(8+3)9 Problem 1.31TI: Simplify: 305+10(32) . Problem 1.32TI: Simplify: 7010+4(62) . Problem 1.33TI: Simplify: 9+53[4(9+3)]. Problem 1.34TI: Simplify: 722[4(5+1)]. Problem 1.35TI: Evaluate 8x3 , when (a) x=2 and (b) x=1 . Problem 1.36TI: Evaluate 4y4 , when (a) y=3 and (b) y=5 . Problem 1.37TI: Evaluate x=3 , when (a) x2 (b) 4x . Problem 1.38TI: Evaluate x=6 , when (a) x3 (b) 2x Problem 1.39TI: Evaluate 3x2+4x+1 when x=3 . Problem 1.40TI: Evaluate 6x24x7 when x=2 . Problem 1.41TI: Identify the coefficient of each term: (a) 17x (b) 41b2 (c) z. Problem 1.42TI: Identify the coefficient of each term: (a) 9p (b) 13a3 (c) y3 . Problem 1.43TI: Identify the like terms: 9, 2x3 , y2,8x3 , 15 9y , 11y2 Problem 1.44TI: Identify the like terms: 4x3,8x2,19,3x2,24,6x3 . Problem 1.45TI: Identify the terms in the expression 4x2+5x+17 . Problem 1.46TI: Identify the terms in the expression 5x+2y . Problem 1.47TI: Simplify: 3x2+7x+9+7x2+9x+8 . Problem 1.48TI: Simplify: 4y2+5y+2+8y2+4y+5 . Problem 1.49TI: Translate the English phrase into an algebraic expression: (a) the difference of 14x2 and 13(b) the... Problem 1.50TI: Translate the English phrase into an algebraic expression: (a) the sum of 17y2 and 19 (b) the... Problem 1.51TI: Translate the English phrase into an algebraic expression: (a) Eleven more than x (b) Fourteen less... Problem 1.52TI: Translate the English phrase into an algebraic expression: (a) 13 more than z (b) 18 less than 8x. Problem 1.53TI: Translate the English phrase into an algebraic expression: (a) four times the sum of p and q (b) the... Problem 1.54TI: Translate the English phrase into an algebraic expression: (a) the difference of two times x and 8,... Problem 1.55TI: The length of a rectangle is 7 less than the width. Let w represent the width of the rectangle.... Problem 1.56TI: The width of a rectangle is 6 less than the length. Let I represent the length of the rectangle.... Problem 1.57TI: Geoffrey has dimes and quarters in his pocket. The number of dimes is eight less than four times the... Problem 1.58TI: Lauren has dimes and nickels in her purse. The number of dimes is three more than seven times the... Problem 83E: In the following exercises, translate from algebra to English. 83. 169 Problem 84E: In the following exercises, translate from algebra to English. 84. 39 Problem 85E: In the following exercises, translate from algebra to English. 85. 284 Problem 86E: In the following exercises, translate from algebra to English. 86. x+11 Problem 87E: In the following exercises, translate from algebra to English. 87. (2)(7) Problem 88E: In the following exercises, translate from algebra to English. 88. (4)(8) Problem 89E: In the following exercises, translate from algebra to English. 89. 1421 Problem 90E: In the following exercises, translate from algebra to English. 90. 1735 Problem 91E: In the following exercises, translate from algebra to English. 91. 3619 Problem 92E: In the following exercises, translate from algebra to English. 92. 6n=36 Problem 93E: In the following exercises, translate from algebra to English. 93. y16 Problem 94E: In the following exercises, translate from algebra to English. 94. y48 Problem 95E: In the following exercises, translate from algebra to English. 95. 2186 Problem 96E: In the following exercises, translate from algebra to English. 96. a112 Problem 97E: In the following exercises, determine if each is an expression or an equation. 97. 96=54 Problem 98E: In the following exercises, determine if each is an expression or an equation. 98. 79=63 Problem 99E: In the following exercises, determine if each is an expression or an equation. 99. 54+3 Problem 100E: In the following exercises, determine if each is an expression or an equation. 100. x+7 Problem 101E: In the following exercises, determine if each is an expression or an equation. 101. x+9 Problem 102E: In the following exercises, determine if each is an expression or an equation. 102. y5=25 Problem 103E: In the following exercises, simplify each expression. 103. 53 Problem 104E: In the following exercises, simplify each expression. 104. 83 Problem 105E: In the following exercises, simplify each expression. 105. 28 Problem 106E: In the following exercises, simplify each expression. 106. 105 Problem 107E: In the following exercises, simplify using the order of operations. (a)3+85 (b)(3+8)5 Problem 108E: In the following exercises, simplify using the order of operations. 108. (a) 2+63 (b) (2+6)3 Problem 109E: In the following exercises, simplify using the order of operations. 109. 2312(95) Problem 110E: In the following exercises, simplify using the order of operations. 110. 3218(115) Problem 111E: In the following exercises, simplify using the order of operations. 111. 38+52 Problem 112E: In the following exercises, simplify using the order of operations. 112. 47+35 Problem 113E: In the following exercises, simplify using the order of operations. 113. 2+8(6+1) Problem 114E: In the following exercises, simplify using the order of operations. 114. 4+6(3+6) Problem 115E: In the following exercises, simplify using the order of operations. 115. 412/8 Problem 116E: In the following exercises, simplify using the order of operations. 116. 236/6 Problem 117E: In the following exercises, simplify using the order of operations. 117. (6+10)(2+2) Problem 118E: In the following exercises, simplify using the order of operations. 118. (9+12)(3+4) Problem 119E: In the following exercises, simplify using the order of operations. 119. 204+65 Problem 120E: In the following exercises, simplify using the order of operations. 120. 333+82 Problem 121E: In the following exercises, simplify using the order of operations. 121. 32+72 Problem 122E: In the following exercises, simplify using the order of operations. 112. (3+7)2 Problem 123E: In the following exercises, simplify using the order of operations. 123. 3(1+96)42 Problem 124E: In the following exercises, simplify using the order of operations. 124. 5(2+84)72 Problem 125E: In the following exercises, simplify using the order of operations. 125. 2[1+3(102)] Problem 126E: In the following exercises, simplify using the order of operations. 126. 5[2+4(32)] Problem 127E: In the following exercises, evaluate the following expressions. 127. 7x+8 when x=2 Problem 128E: In the following exercises, evaluate the following expressions. 128. 8x6 when x=7 Problem 129E: In the following exercises, evaluate the following expressions. 129. x2 when x=12 Problem 130E: In the following exercises, evaluate the following expressions. 130. x3 when x=5 Problem 131E: In the following exercises, evaluate the following expressions. 131. x2 when x=2 Problem 132E: In the following exercises, evaluate the following expressions. 132. 4x when x=2 Problem 133E: In the following exercises, evaluate the following expressions. 133. x2+3x7 when x=4 Problem 134E: In the following exercises, evaluate the following expressions. 134. 6x+3y9 , when x=6,y=9 Problem 135E: In the following exercises, evaluate the following expressions. 135. (xy)2 when x=10,y=7 Problem 136E: In the following exercises, evaluate the following expressions. 136. (x+y)2 when x=6,y=9 Problem 137E: In the following exercises, evaluate the following expressions. 137. a2+b2 when a=3,b=8 Problem 138E: In the following exercises, evaluate the following expressions. 138. r2s2 when r=12 , s=5 Problem 139E: In the following exercises, evaluate the following expressions. 139. 2l+2w when l=15,w=12 Problem 140E: In the following exercises, evaluate the following expressions. 140. 2l+2w when l=18,w=14 Problem 141E: In the following exercises, identify the coefficient of each term. 141. 8a Problem 142E: In the following exercises, identify the coefficient of each term. 142. 13m Problem 143E: In the following exercises, identify the coefficient of each term. 143. 5r2 Problem 144E: In the following exercises, identify the coefficient of each term. 144. 6x3 Problem 145E: In the following exercises, identify the like terms. 145. x3,8x,14,8y,5,8x3 Problem 146E: In the following exercises, identify the like terms. 146. 6z,3w2,1,6z2,4z,w2 Problem 147E: In the following exercises, identify the like terms. 147. 9a,a2,16,16b2,4,9b2 Problem 148E: In the following exercises, identify the like terms. 148. 3,25r2,10s,10r,4r2,3s Problem 149E: In the following exercises, identify the terms in each expression. 149. 15x2+6x+2 Problem 150E: In the following exercises, identify the terms in each expression. 150. 11x2+8x+5 Problem 151E: In the following exercises, identify the terms in each expression. 151. 10y3+y+2 Problem 152E: In the following exercises, identify the terms in each expression. 152. 9y3+y+5 Problem 153E: In the following exercises, simplify the following expressions by combining like terms. 153. 10x+3x Problem 154E: In the following exercises, simplify the following expressions by combining like 154. 15x+4x Problem 155E: In the following exercises, simplify the following expressions by combining like terms. 155. 4c+2c+c Problem 156E: In the following exercises,, simplify the following expressions by combining like terms. 156.... Problem 157E: In the following exercises, simplify the following expressions by combining like terms. 157.... Problem 158E: In the following exercises, simplify the following expressions by combining like terms. 158.... Problem 159E: In the following exercises, simplify the following expressions by combining like terms. 159.... Problem 160E: In the following exercises,, simplify the following expressions by combining like terms. 160.... Problem 161E: In the following exercises, simplify the following expressions by combining like terms. 161.... Problem 162E: In the following exercises, simplify the following expressions by combining like terms. 162.... Problem 163E: In the following exercises, translate the phrases into algebraic expressions. 163. the difference of... Problem 164E: In the following exercises, translate the phrases into algebraic expressions. 164. the difference of... Problem 165E: In the following exercises, translate the phrases into algebraic expressions. 165. the product of 9... Problem 166E: In the following exercises, translate the phrases into algebraic expressions. 166. the product of 8... Problem 167E: In the following exercises, translate the phrases into algebraic expressions. 167. the quotient of... Problem 168E: In the following exercises, translate the phrases into algebraic expressions. 168. the quotient of... Problem 169E: In the following exercises, translate the phrases into algebraic expressions. 169. the sum of 8x and... Problem 170E: In the following exercises, translate the phrases into algebraic expressions. 170. the sum of 13x... Problem 171E: In the following exercises, translate the phrases into algebraic expressions. 171. the quotient of y... Problem 172E: In the following exercises, translate the phrases into algebraic expressions. 172. the quotient of y... Problem 173E: In the following exercises, translate the phrases into algebraic expressions. 173. eight times the... Problem 174E: In the following exercises, translate the phrases into algebraic expressions. 174. seven times the... Problem 175E: In the following exercises, translate the phrases into algebraic expressions. 175. Eric has rock and... Problem 176E: In the following exercises, translate the phrases into algebraic expressions. 176. The number of... Problem 177E: In the following exercises, translate the phrases into algebraic expressions. 177. Greg has nickels... Problem 178E: In the following exercises, translate the phrases into algebraic expressions. 178. Jeannette has $5... Problem 179E: Car insurance Justin’s car insurance has a $750 deductible per incident. This means that he pays... Problem 180E: Home insurance Armando’s home insurance has a $2,500 deductible per incident. This means that he... Problem 181E: Explain the difference between an expression and equation. Problem 182E: Why is it important to use the order of operations to simplify an expression? Problem 183E: Explain how you identify the like terms in the expression 8a2+4a+9a21. Problem 184E: Explain the difference between the phrases “4 times the sum of x and y” and “the sum of 4 times x... Problem 1.45TI: Identify the terms in the expression 4x2+5x+17 .
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Use the comparison test to decide if the integral converges diverges or if the test is inconclusive
Transcribed Image Text: 8
1
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With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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