1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter1: Foundations
1.1 Use The Language Of Algebra 1.2 Integers 1.3 Fractions 1.4 Decimals 1.5 Properties Of Real Numbers Chapter Questions Section1.2: Integers
Problem 1.23TI: Fill in < ,> , or = for each of the following pairs of numbers: (a) 9 __ |9| (b) 2 __ |2| (c) 8 __... Problem 1.24TI: Fill in < , > , or = for each of the following pairs of numbers: (a) 7 __ |7| (b) (10) __ |10| (c)... Problem 1.25TI: Simplify: 19|114(31)| . Problem 1.26TI: Simplify: 9|84(75)| . Problem 1.27TI: Add: (a) 2+(4) (b) 2+4 (c) 2+(4) . Problem 1.28TI: Add: (a) 2+(5) (b) 2+5 (c) 2+(5) . Problem 1.29TI: Subtract: (a) 64 (b) 6(4) (c) 64 (d) 6(4) . Problem 1.30TI: Subtract: (a) 74 (b) 7(4) (c) 74 (d) 7(4) . Problem 1.31TI: Simplify: (a) 2113 and 21+(13) (b) -11 - 7 and 11+(7) (c) 6(13) and 6+13 (d) 5(1) and 5+1 . Problem 1.32TI: Simplify: (a) 157 and 15+(7) (b) 148 and 14+(8) (c) 4(19) and 4+19 (d) 4(7) and 4+7 . Problem 1.33TI: Simplify: 8(31)9 . Problem 1.34TI: Simplify: 12(96)14 . Problem 1.35TI: Multiply or divide: (a) 115(5) (b) 512 (c) 9(7) (d) 637 . Problem 1.36TI: Multiply or divide: (a) 117(3) (b) 313 (c) 7(4) (d) 426 . Problem 1.37TI: Simplify: (a) (3)4 (b) 34 . Problem 1.38TI: Simplify: (a) (7)2 (b) 72 . Problem 1.39TI: Simplify: (a) 12(9)(3)3 (b) 273+(5)(6) . Problem 1.40TI: Simplify: (a) 18(4)(2)3 (b) 324+(2)(7) . Problem 1.41TI: Evaluate: 3x22xy+6y2 when x=1,y=2 . Problem 1.42TI: Evaluate: 4x2xy+5y2 when x=2,y=3 . Problem 1.43TI: Translate and simplify the sum of 9 and 16 , increased by 4. Problem 1.44TI: Translate and simplify the sum of 8 and 12 , increased by 7. Problem 1.45TI: The temperature in Anchorage, Alaska one morning was 15 degrees. By mid-afternoon the temperature... Problem 1.46TI: The temperature in Denver was 6 degrees at lunchtime. By sunset the temperature had dropped to 15... Problem 59E: In the following exercises, fill in <, >, or = for each of the following pairs of numbers. 59. (a)... Problem 60E: In the following exercises, fill in <, >, or = for each of the following pairs of numbers. 60. (a)... Problem 61E: In the following exercises, fill in <, >, or = for each of the following pairs of numbers. 61. (a)... Problem 62E: In the following exercises, fill in <, >, or = for each of the following pairs of numbers. 62. (a)... Problem 63E: In the following exercises, simplify. 63. |157||146| Problem 64E: In the following exercises, simplify. 64. |178||134| Problem 65E: In the following exercises, simplify. 65. 18|2(83)| Problem 66E: In the following exercises, simplify. 66. 15|3(85)| Problem 67E: In the following exercises, simplify. 67. 18|124(41)+3| Problem 68E: In the following exercises, simplify. 68. 27|19+4(31)7| Problem 69E: In the following exercises, simplify. 69. 103|93(31)| Problem 70E: In the following exercises, simplify. 70. 132|112(52)| Problem 71E: In the following exercises, simplify each expression. 71. (a) 7+(4) (b) 7+4 (c) 7+(4) . Problem 72E: In the following exercises, simplify each expression. 72. (a) 5+(9) (b) 5+9 (c) 5+(9) Problem 73E: In the following exercises, simplify each expression. 73. 48+(16) Problem 74E: In the following exercises, simplify each expression. 74. 34+(19) Problem 75E: In the following exercises, simplify each expression. 75. 14+(12)+4 Problem 76E: In the following exercises, simplify each expression. 76. 17+(18)+6 Problem 77E: In the following exercises, simplify each expression. 77. 19+2(3+8) Problem 78E: In the following exercises, simplify each expression. 78. 24+3(5+9) Problem 79E: In the following exercises, simplify each expression. 79. (a) 137 (b) 13(7) (c) 137 (d) 13(7) Problem 80E: In the following exercises, simplify each expression. 80. (a) 158 (b) 15(8) (c) 158 (d) 15(8) Problem 81E: In the following exercises, simplify each expression. 81. 1742 Problem 82E: In the following exercises, simplify each expression. 82. 58(67) Problem 83E: In the following exercises, simplify each expression. 83. 14(27)+9 Problem 84E: In the following exercises, simplify each expression. 84. 64+(17)9 Problem 85E: In the following exercises, simplify each expression. 85. (a) 4428 (b)44+(28) Problem 86E: In the following exercises, simplify each expression. 86. (a) 3516 (b) 35+(16) Problem 87E: In the following exercises, simplify each expression. 87. (a) 27(18) (b) 27+18 Problem 88E: In the following exercises, simplify each expression. 88. (a) 46(37) (b) 46+37 Problem 89E: In the following exercises, simplify each expression. 89. (27)(38) Problem 90E: In the following exercises, simplify each expression. 90. (18)(29) Problem 91E: In the following exercises, simplify each expression. 91. (68)(24) Problem 92E: In the following exercises, simplify each expression. 92. (45)(78) Problem 93E: In the following exercises, simplify each expression. 93. 25[10(312)] Problem 94E: In the following exercises, simplify each expression. 94. 32[5(1520)] Problem 95E: In the following exercises, multiply or divide. 95. (a) 48 (b) 13(5) (c) 246 (d) 52(4) Problem 96E: In the following exercises, multiply or divide. 96. (a) 39 (b) 9(7) (c) 35(7) (d) -84 ÷ (-6) Problem 97E: In the following exercises, multiply or divide. 97. (a) 287 (b) 18015 (c) 3(13) (d) 1(14) Problem 98E: In the following exercises, multiply or divide. 98. (a) 364 (b) 19212 (c) 9(7) (d) 1(19) Problem 99E: In the following exercises, simplify each expression. 99. (a) (2)6 (b) 26 Problem 100E: In the following exercises, simplify each expression. 100. (a) (3)5 (b)35 Problem 101E: In the following exercises, simplify each expression. 101. 5(6)+7(2)3 Problem 102E: In the following exercises, simplify each expression. 102. 8(4)+5(4)6 Problem 103E: In the following exercises, simplify each expression. 103. 3(5)(6) Problem 104E: In the following exercises, simplify each expression. 104. 4(6)(3) Problem 105E: In the following exercises, simplify each expression. 105. (811)(912) Problem 106E: In the following exercises, simplify each expression. 106. (611)(813) Problem 107E: In the following exercises, simplify each expression. 107. 263(27) Problem 108E: In the following exercises, simplify each expression. 108. 232(46) Problem 109E: In the following exercises, simplify each expression. 109. 65(5)+(28)(7) Problem 110E: In the following exercises, simplify each expression. 110. 52(4)+(32)(8) Problem 111E: In the following exercises, simplify each expression. 111. 92[38(2)] Problem 112E: In the following exercises, simplify each expression. 112. 113[74(2)] Problem 113E: In the following exercises, simplify each expression. 113. 8|24(41)+3| Problem 114E: In the following exercises, simplify each expression. 114. 7|53(41)6| Problem 115E: In the following exercises, simplify each expression. 115. 93|2(26)(37)| Problem 116E: In the following exercises, simplify each expression. 116. 52|2(14)(25)| Problem 117E: In the following exercises, simplify each expression. 117. (3)224(82) Problem 118E: In the following exercises, simplify each expression. 118. (4)232(124) Problem 119E: In the following exercises, evaluate each expression. 119. y+(14) when (a) y=33 (b) y=30 Problem 120E: In the following exercises, evaluate each expression. 120. x+(21) when (a) x=27 (b) x=44 Problem 121E: In the following exercises, evaluate each expression. 121. (x+y)2 when x=3,y=14 Problem 122E: In the following exercises, evaluate each expression. 122. (y+z)2 when y=3,z=15 Problem 123E: In the following exercises, evaluate each expression. 123. 9a2b8 When a=6 and b=3 Problem 124E: In the following exercises, evaluate each expression. 124. 7m4n2 when m=4 and n=9 Problem 125E: In the following exercises, evaluate each expression. 125. 3x24xy+2y2 when x=2,y=3 Problem 126E: In the following exercises, evaluate each expression. 126. 4x2xy+3y2 when x=3,y=2 Problem 127E: In the following exercises, translate to an algebraic expression and simplify if possible. 127. the... Problem 128E: In the following exercises, translate to an algebraic expression and simplify if possible. 128. the... Problem 129E: In the following exercises, translate to an algebraic expression and simplify if possible. 129. (a)... Problem 130E: In the following exercises, translate to an algebraic expression and simplify if possible. 130. (a)... Problem 131E: In the following exercises, translate to an algebraic expression and simplify if possible. 131. the... Problem 132E: In the following exercises, translate to an algebraic expression and simplify if possible. 132. the... Problem 133E: In the following exercises, solve. 133. Temperature On January 15, the high temperature in Anaheim,... Problem 134E: In the following exercises, solve. 134. Temperature On January 21, the high temperature in Palm... Problem 135E: In the following exercises, solve. 135. Football On the first down, the Chargers had the ball on... Problem 136E: In the following exercises, solve. 136. Football On the first down, the Steelers had the ball on... Problem 137E: In the following exercises, solve. 137. Checking Account Mayra has $124 in her checking account. She... Problem 138E: In the following exercises, solve. 138. Checking Account Reymonte has a balance of 49 in his... Problem 139E: Explain why the sum of 8 and 2 is negative, but the sum of 8 and 2 is positive. Problem 140E: Give an example from your life experience of adding two negative numbers. Problem 141E: In your own words, state the rules for multiplying and dividing integers. Problem 142E: Why is 43=(4)3 ? Problem 1.34TI: Simplify: 12(96)14 .
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Determine whether the given orthogonal set of vectors is orthonormal. If it is not, normalize the vectors to form an orthonormal set
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Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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Given set of vectors is
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