Solutions for Intermediate Algebra
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 71E:
In the following exercises, simplify each expression. 71. (a) 7+(4) (b) 7+4 (c) 7+(4) .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 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 119E:
In the following exercises, evaluate each expression. 119. y+(14) when (a) y=33 (b) y=30Problem 120E:
In the following exercises, evaluate each expression. 120. x+(21) when (a) x=27 (b) x=44Problem 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 142E:
Why is 43=(4)3 ?Browse All Chapters of This Textbook
Chapter 1 - FoundationsChapter 1.1 - Use The Language Of AlgebraChapter 1.2 - IntegersChapter 1.3 - FractionsChapter 1.4 - DecimalsChapter 1.5 - Properties Of Real NumbersChapter 2 - Solving Linear EquationsChapter 2.1 - Use A General Strategy To Solve Linear EquationsChapter 2.2 - Use A Problem Solving StrategyChapter 2.3 - Solve A Formula For A Specific Variable
Chapter 2.4 - Solve Mixture And Uniform Motion ApplicationsChapter 2.5 - Solve Linear InequalitiesChapter 2.6 - Solve Compound InequalitiesChapter 2.7 - Solve Absolute Value InequalitiesChapter 3 - Graphs And FunctionsChapter 3.1 - Graph Linear Equations In Two VariablesChapter 3.2 - Slope Of A LineChapter 3.3 - Find The Equation Of A LineChapter 3.4 - Graph Linear Inequalities In Two VariablesChapter 3.5 - Relations And FunctionsChapter 3.6 - Graphs Of FunctionsChapter 4 - Systems Of Linear EquationsChapter 4.1 - Solve Systems Of Linear Equations With Two VariablesChapter 4.2 - Solve Applications With Systems Of EquationsChapter 4.3 - Solve Mixture Applications With Systems Of EquationsChapter 4.4 - Solve Systems Of Equations With Three VariablesChapter 4.5 - Solve Systems Of Equations Using MatricesChapter 4.6 - Solve Systems Of Equations Using DeterminantsChapter 4.7 - Graphing Systems Of Linear InequalitiesChapter 5 - Polynomials And Polynomial FunctionsChapter 5.1 - Add And Subtract PolynomialsChapter 5.2 - Properties Of Exponents And Scientific NotationChapter 5.3 - Multiply PolynomialsChapter 5.4 - Dividing PolynomialsChapter 6 - FactoringChapter 6.1 - Greatest Common Factor And Factor By GroupingChapter 6.2 - Factor TrinomialsChapter 6.3 - Factor Special ProductsChapter 6.4 - General Strategy For Factoring PolynomialsChapter 6.5 - Polynomial EquationsChapter 7 - Rational Expressions And FunctionsChapter 7.1 - Multiply And Divide Rational ExpressionsChapter 7.2 - Add And Subtract Rational ExpressionsChapter 7.3 - Simplify Complex Rational ExpressionsChapter 7.4 - Solve Rational EquationsChapter 7.5 - Solve Applications With Rational EquationsChapter 7.6 - Solve Rational InequalitiesChapter 8 - Roots And RadicalsChapter 8.1 - Simplify Expressions With RootsChapter 8.2 - Simplify Radical ExpressionsChapter 8.3 - Simplify Rational ExponentsChapter 8.4 - Add, Subtract, And Multiply Radical ExpressionsChapter 8.5 - Divide Radical ExpressionsChapter 8.6 - Solve Radical EquationsChapter 8.7 - Use Radicals In FunctionsChapter 8.8 - Use The Complex Number SystemChapter 9 - Quadratic Equations And FunctionsChapter 9.1 - Solve Quadratic Equations Using The Square Root PropertyChapter 9.2 - Solve Quadratic Equations By Completing The SquareChapter 9.3 - Solve Quadratic Equations Using The Quadratic FormulaChapter 9.4 - Solve Quadratic Equations In Quadratic FormChapter 9.5 - Solve Applications Of Quadratic EquationsChapter 9.6 - Graph Quadratic Functions Using PropertiesChapter 9.7 - Graph Quadratic Functions Using TransformationsChapter 9.8 - Solve Quadratic InequalitiesChapter 10 - Exponential And Logarithmic FunctionsChapter 10.1 - Finding Composite And Inverse FunctionsChapter 10.2 - Evaluate And Graph Exponential FunctionsChapter 10.3 - Evaluate And Graph Logarithmic FunctionsChapter 10.4 - Use The Properties Of LogarithmsChapter 10.5 - Solve Exponential And Logarithmic EquationsChapter 11 - ConicsChapter 11.1 - Distance And Midpoint Formulas; CirclesChapter 11.2 - ParabolasChapter 11.3 - EllipsesChapter 11.4 - HyperbolasChapter 11.5 - Solve Systems Of Nonlinear EquationsChapter 12 - Sequences, Series And Binomial TheoremChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences And SeriesChapter 12.4 - Binomial Theorem
Book Details
Intermediate Algebra is designed to meet the scope and sequence requirements of a one-semester intermediate algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in prealgebra and elementary algebra courses.
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