Solutions for Intermediate Algebra
Problem 385RE:
Use the divisibility tests to determine whether 180 is divisible by 2, by 3, by 5, by 6, and by 10.Problem 386RE:
Find the prime factorization of 252.Problem 387RE:
Find the least common multiple of 24 and 40.Problem 390RE:
In the following exercises, evaluate the following expressions. 390. When x=4, (a) x3 (b) 5x (c)...Problem 391RE:
In the following exercises, evaluate the following expressions. 391. 2x24xy3y2 when x=3,y=1Problem 392RE:
In the following exercises, simplify the following expressions by combining like terms. 392....Problem 393RE:
In the following exercises, simplify the following expressions by combining like terms. 393....Problem 394RE:
In the following exercises, translate the phrases into algebraic expressions. 394. (a) the sum of...Problem 395RE:
In the following exercises, translate the phrases into algebraic expressions. 395. (a) eleven times...Problem 396RE:
In the following exercises, translate the phrases into algebraic expressions. 396. Dushko has...Problem 397RE:
In the following exercise, fill in < ,> , or = for each of the following pairs of numbers. 397. (a)...Problem 398RE:
In the following exercises, simplify. 398. 9|3(48)|Problem 399RE:
In the following exercises, simplify. 399. 123|14(42)|Problem 401RE:
In the following exercises, simplify each expression. 401. (a) 157 (b) 15(7) (c) 157 (d) 15(7)Problem 405RE:
In the following exercise, multiply or divide. 405. (a) 279 (b) 120(8) (c) 4(14) (d) 1(17)Problem 413RE:
In the following exercises, translate to an algebraic expression and simplify if possible. 413. the...Problem 414RE:
In the following exercises, translate to an algebraic expression and simplify if possible. 414. (a)...Problem 415RE:
In the following exercise, solve. 415. Temperature On July 10, the high temperature in Phoenix,...Problem 416RE:
In the following exercises, simplify. 416. 204228Problem 417RE:
In the following exercises, simplify. 417. 270x3198y2Problem 424RE:
In the following exercises, perform the indicated operation. 424. (a) 3y1056 (b) 3y1056Problem 425RE:
In the following exercises, simplify. 425. 432563+23Problem 427RE:
In the following exercises, simplify. 427. 4342( 4 5 )2Problem 446RE:
In the following exercises, simplify. 446. 289Problem 447RE:
In the following exercises, simplify. 447. 121Problem 448RE:
In the following exercise, list the (a) whole numbers (b) integers (c) rational numbers (d)...Problem 449RE:
In the following exercises, locate the numbers on a number line. 449. 34,34,113,123,72,52Problem 450RE:
In the following exercises, locate the numbers on a number line. 450. (a) 3.2 (b) 1.35Problem 451RE:
In the following exercises, simplify. 451. 58x+512y+18x+712yProblem 452RE:
In the following exercises, simplify. 452. 32958Problem 453RE:
In the following exercises, simplify. 453. (1115+38)+58Problem 454RE:
In the following exercises, simplify. 454. 47+815+(47)Problem 455RE:
In the following exercises, simplify. 455. 13159171513Problem 456RE:
In the following exercises, simplify. 456. 0x3,x3Problem 457RE:
In the following exercises, simplify. 457. 5x70,5x70Problem 459RE:
In the following exercises, simplify using the Distributive Property. 459. 12(23b+56)Problem 465RE:
In the following exercises, simplify using the Distributive Property. 465. 5(2y+3)(4y1)Problem 466PT:
Find the prime factorization of 756.Problem 467PT:
Combine like terms: 5n+8+2n1Problem 468PT:
Evaluate when x=2 and y=3:|3x4y|6Problem 469PT:
Translate to an algebraic expression and simplify: (a) eleven less than negative eight (b) the...Problem 470PT:
Dushko has nickels and pennies in his pocket. The number of pennies is seven less than four times...Problem 471PT:
Round 28.1458 to the nearest (a) hundredth (b) thousandthProblem 472PT:
Convert (a) 511 to a decimal (b) 1.15 to a percentProblem 473PT:
Locate 35,2.8 , and 52 on a number line.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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