Solutions for Beginning and Intermediate Algebra
Problem 1SP:
Write the number as a product of prime factors.Problem 2SP:
Write the number as a product of prime factors.Problem 3SP:
Simplify to lowest terms 20 50Problem 4SP:
Simplify to lowest terms 32 12Problem 5SP:
Multiply.
5.
Problem 6SP:
Multiply. 8 9 × 3 4Problem 7SP:
Multiply. 4 5 × 5 4Problem 8SP:
Multiply. 10 × 1 10Problem 9SP:
Divide. 12 25 ÷ 8 15Problem 10SP:
Divide. 12 25 ÷ 8 15Problem 11SP:
Add or subtract as indicated.
11.
Problem 12SP:
Add or subtract as indicated. 5 8 − 1 8Problem 13SP:
Find the LCM. 10 and 25.Problem 14SP:
Write each of the fractions 5 8 and 5 12 as an equivalent fraction with the LCD as its denominator.Problem 15SP:
Subtract. 5 8 − 5 12Problem 16SP:
Add. 2 3 + 1 2 + 5 6Problem 17SP:
Subtract. 2 3 4 − 1 1 3Problem 18SP:
Divide. 5 5 6 ÷ 3 2 3Problem 1PE:
Vocabulary and Key Concepts a. A______ is the result of multiplying two or more numbers. b. The...Problem 2PE:
Concept 1: Basic Definitions For Exercises 2-10, identify the numerator and denominator of each...Problem 3PE:
Concept 1: Basic Definitions
For Exercises 2-10, identify the numerator and denominator of each...Problem 4PE:
Concept 1: Basic Definitions
For Exercises 2-10, identify the numerator and denominator of each...Problem 5PE:
Concept 1: Basic Definitions For Exercises 2-10, identify the numerator and denominator of each...Problem 6PE:
Concept 1: Basic Definitions For Exercises 2-10, identify the numerator and denominator of each...Problem 7PE:
Concept 1: Basic Definitions
For Exercises 2-10, identify the numerator and denominator of each...Problem 8PE:
Concept 1: Basic Definitions
For Exercises 2-10, identify the numerator and denominator of each...Problem 9PE:
Concept 1: Basic Definitions
For Exercises 2-10, identify the numerator and denominator of each...Problem 10PE:
Concept 1: Basic Definitions For Exercises 2-10, identify the numerator and denominator of each...Problem 11PE:
Concept 1: Basic Definitions For Exercises 11-18, write a proper or improper fraction associated...Problem 12PE:
Concept 1: Basic Definitions
For Exercises 11-18, write a proper or improper fraction associated...Problem 13PE:
Concept 1: Basic Definitions For Exercises 11-18, write a proper or improper fraction associated...Problem 14PE:
Concept 1: Basic Definitions For Exercises 11-18, write a proper or improper fraction associated...Problem 15PE:
Concept 1: Basic Definitions
For Exercises 11-18, write a proper or improper fraction associated...Problem 16PE:
Concept 1: Basic Definitions For Exercises 11-18, write a proper or improper fraction associated...Problem 17PE:
Concept 1: Basic Definitions For Exercises 11-18, write a proper or improper fraction associated...Problem 18PE:
Concept 1: Basic Definitions For Exercises 11-18, write a proper or improper fraction associated...Problem 19PE:
Concept 1: Basic Definitions For Exercises 19-22, write both an improper fraction and a mixed number...Problem 20PE:
Concept 1: Basic Definitions For Exercises 19-22, write both an improper fraction and a mixed number...Problem 21PE:
Concept 1: Basic Definitions For Exercises 19-22, write both an improper fraction and a mixed number...Problem 22PE:
Concept 1: Basic Definitions
For Exercises 19-22, write both an improper fraction and a mixed number...Problem 23PE:
Concept 1: Basic Definitions Explain the difference between the set of whole numbers and the set of...Problem 24PE:
Concept 1: Basic Definitions Explain the difference between a proper fraction and an improper...Problem 25PE:
Concept 1: Basic Definitions Write a fraction that simplifies to 1 2 . (Answers may vary.)Problem 26PE:
Concept 1: Basic Definitions Write a fraction that simplifies to 1 3 . (Answers may vary.)Problem 27PE:
Concept 2: Prime Factorization For Exercises 27-34, identify each number as either a prime number or...Problem 28PE:
Concept 2: Prime Factorization
For Exercises 27-34, identify each number as either a prime number or...Problem 29PE:
Concept 2: Prime Factorization For Exercises 27-34, identify each number as either a prime number or...Problem 30PE:
Concept 2: Prime Factorization For Exercises 27-34, identify each number as either a prime number or...Problem 31PE:
Concept 2: Prime Factorization For Exercises 27-34, identify each number as either a prime number or...Problem 32PE:
Concept 2: Prime Factorization For Exercises 27-34, identify each number as either a prime number or...Problem 33PE:
Concept 2: Prime Factorization
For Exercises 27-34, identify each number as either a prime number or...Problem 34PE:
Concept 2: Prime Factorization For Exercises 27-34, identify each number as either a prime number or...Problem 35PE:
Concept 2: Prime Factorization For Exercise 35-42, write each number as a product of prime factors....Problem 36PE:
Concept 2: Prime Factorization For Exercise 35-42, write each number as a product of prime factors....Problem 37PE:
Concept 2: Prime Factorization For Exercise 35-42, write each number as a product of prime factors....Problem 38PE:
Concept 2: Prime Factorization For Exercise 35-42, write each number as a product of prime factors....Problem 39PE:
Concept 2: Prime Factorization For Exercise 35-42, write each number as a product of prime factors....Problem 40PE:
Concept 2: Prime Factorization For Exercise 35-42, write each number as a product of prime factors....Problem 41PE:
Concept 2: Prime Factorization For Exercise 35-42, write each number as a product of prime factors....Problem 42PE:
Concept 2: Prime Factorization For Exercise 35-42, write each number as a product of prime factors....Problem 43PE:
Concept 3: Simplifying Fractions to Lowest Terms
For Exercises 43-54, simplify each fraction to...Problem 44PE:
Concept 3: Simplifying Fractions to Lowest Terms For Exercises 43-54, simplify each fraction to...Problem 45PE:
Concept 3: Simplifying Fractions to Lowest Terms For Exercises 43-54, simplify each fraction to...Problem 46PE:
Concept 3: Simplifying Fractions to Lowest Terms For Exercises 43-54, simplify each fraction to...Problem 47PE:
Concept 3: Simplifying Fractions to Lowest Terms For Exercises 43-54, simplify each fraction to...Problem 48PE:
Concept 3: Simplifying Fractions to Lowest Terms
For Exercises 43-54, simplify each fraction to...Problem 49PE:
Concept 3: Simplifying Fractions to Lowest Terms
For Exercises 43-54, simplify each fraction to...Problem 50PE:
Concept 3: Simplifying Fractions to Lowest Terms For Exercises 43-54, simplify each fraction to...Problem 51PE:
Concept 3: Simplifying Fractions to Lowest Terms
For Exercises 43-54, simplify each fraction to...Problem 52PE:
Concept 3: Simplifying Fractions to Lowest Terms For Exercises 43-54, simplify each fraction to...Problem 53PE:
Concept 3: Simplifying Fractions to Lowest Terms For Exercises 43-54, simplify each fraction to...Problem 54PE:
Concept 3: Simplifying Fractions to Lowest Terms For Exercises 43-54, simplify each fraction to...Problem 55PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 55-56, determine if the statement is...Problem 56PE:
Concepts 4-5: Multiplying and Dividing Fractions
For Exercises 55-56, determine if the statement is...Problem 57PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 57-68, multiply or divide as...Problem 58PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 57-68, multiply or divide as...Problem 59PE:
Concepts 4-5: Multiplying and Dividing Fractions
For Exercises 57-68, multiply or divide as...Problem 60PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 57-68, multiply or divide as...Problem 61PE:
Concepts 4-5: Multiplying and Dividing Fractions
For Exercises 57-68, multiply or divide as...Problem 62PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 57-68, multiply or divide as...Problem 63PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 57-68, multiply or divide as...Problem 64PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 57-68, multiply or divide as...Problem 65PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 57-68, multiply or divide as...Problem 66PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 57-68, multiply or divide as...Problem 67PE:
Concepts 4-5: Multiplying and Dividing Fractions For Exercises 57-68, multiply or divide as...Problem 68PE:
Concepts 4-5: Multiplying and Dividing Fractions
For Exercises 57-68, multiply or divide as...Problem 69PE:
Concepts 4-5: Multiplying and Dividing Fractions Gus decides to save 1 3 of his pay each month. If...Problem 70PE:
Concepts 4-5: Multiplying and Dividing Fractions Stephens' take-home pay is $4200 a month. If he...Problem 71PE:
Concepts 4-5: Multiplying and Dividing Fractions In Professor Foley's Beginning Algebra class, 5 6...Problem 72PE:
Concepts 4-5: Multiplying and Dividing Fractions
72. Shontell had only enough paper to print out ...Problem 73PE:
Concepts 4-5: Multiplying and Dividing Fractions Marty will reinforce a concrete walkway by cutting...Problem 74PE:
Concepts 4-5: Multiplying and Dividing Fractions There are 4 cups of oatmeal in a box. If each...Problem 75PE:
Concepts 4-5: Multiplying and Dividing Fractions Anita buys 6 lb of mixed nuts to be divided into...Problem 76PE:
Concepts 4-5: Multiplying and Dividing Fractions Beth has a 7 8 in. nail that she must hammer into a...Problem 77PE:
Concept 6: Adding and Subtracting Fractions For Exercises 77-80, add or subtract as indicated. (See...Problem 78PE:
Concept 6: Adding and Subtracting Fractions For Exercises 77-80, add or subtract as indicated. (See...Problem 79PE:
Concept 6: Adding and Subtracting Fractions For Exercises 77-80, add or subtract as indicated. (See...Problem 80PE:
Concept 6: Adding and Subtracting Fractions For Exercises 77-80, add or subtract as indicated. (See...Problem 81PE:
Concept 6: Adding and Subtracting Fractions For Exercises 81-84, find the least common multiple for...Problem 82PE:
Concept 6: Adding and Subtracting Fractions For Exercises 81-84, find the least common multiple for...Problem 83PE:
Concept 6: Adding and Subtracting Fractions For Exercises 81-84, find the least common multiple for...Problem 84PE:
Concept 6: Adding and Subtracting Fractions
For Exercises 81-84, find the least common multiple for...Problem 85PE:
Concept 6: Adding and Subtracting Fractions
For Exercises 85-100, add or subtract as indicated. (See...Problem 86PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 87PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 88PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 89PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 90PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 91PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 92PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 93PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 94PE:
Concept 6: Adding and Subtracting Fractions
For Exercises 85-100, add or subtract as indicated. (See...Problem 95PE:
Concept 6: Adding and Subtracting Fractions
For Exercises 85-100, add or subtract as indicated. (See...Problem 96PE:
Concept 6: Adding and Subtracting Fractions
For Exercises 85-100, add or subtract as indicated. (See...Problem 97PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 98PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 99PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 100PE:
Concept 6: Adding and Subtracting Fractions For Exercises 85-100, add or subtract as indicated. (See...Problem 101PE:
Concept 6: Adding and Subtracting Fractions For his famous brownie recipe, Chef Alfonso combines 2 3...Problem 102PE:
Concept 6: Adding and Subtracting Fractions Chef Alfonso eats too many of his brownies and his...Problem 103PE:
Concept 6: Adding and Subtracting Fractions Currently the most popular smartphone has a thickness of...Problem 104PE:
Concept 6: Adding and Subtracting Fractions
104. The diameter of a penny is in. while the dime is ...Problem 105PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 106PE:
Concept 7: Operations on Mixed Numbers
For Exercises 105-118, perform the indicated operations. (See...Problem 107PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 108PE:
Concept 7: Operations on Mixed Numbers
For Exercises 105-118, perform the indicated operations. (See...Problem 109PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 110PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 111PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 112PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 113PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 114PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 115PE:
Concept 7: Operations on Mixed Numbers
For Exercises 105-118, perform the indicated operations. (See...Problem 116PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 117PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 118PE:
Concept 7: Operations on Mixed Numbers For Exercises 105-118, perform the indicated operations. (See...Problem 119PE:
Concept 7: Operations on Mixed Numbers
119. A board in. long must be cut into three pieces of equal...Problem 120PE:
Concept 7: Operations on Mixed Numbers A futon, when set up as a sofa, measures 3 5 6 ft wide. When...Problem 121PE:
Concept 7: Operations on Mixed Numbers A plane trip from Orlando to Detroit takes 2 3 4 hr. If the...Problem 122PE:
Concept 7: Operations on Mixed Numbers
122. Silvia manages a sub shop and needs to prepare smoked...Problem 123PE:
Concept 7: Operations on Mixed Numbers Jose's catering company plans to prepare two different shrimp...Problem 124PE:
Concept 7: Operations on Mixed Numbers Ayako took a trip to the store 5 1 2 mi away. If she rode the...Browse All Chapters of This Textbook
Chapter 1 - The Set Of Real NumbersChapter 1.1 - FractionsChapter 1.2 - Introduction To Algebra And The Set Of Real NumbersChapter 1.3 - Exponents, Square Roots, And The Order Of OperationsChapter 1.4 - Addition Of Real NumbersChapter 1.5 - Subtraction Of Real NumbersChapter 1.6 - Multiplication And Division Of Real NumbersChapter 1.7 - Properties Of Real Numbers And Simplifying ExpressionsChapter 2 - Linear Equations And InequalitiesChapter 2.1 - Addition, Subtraction, Multiplication, And Division Properties Of Equality
Chapter 2.2 - Solving Linear EquationsChapter 2.3 - Linear Equations: Clearing Fractions And DecimalsChapter 2.4 - Applications Of Linear Equations: Introduction To Problem SolvingChapter 2.5 - Applications Involving PercentsChapter 2.6 - Formulas And Applications Of GeometryChapter 2.7 - Mixture Applications And Uniform MotionChapter 2.8 - Linear InequalitiesChapter 3 - Graphing Linear Equations In Two VariablesChapter 3.1 - Rectangular Coordinate SystemChapter 3.2 - Linear Equations In Two VariablesChapter 3.3 - Slope Of A Line And Rate Of ChangeChapter 3.4 - Slope-intercept Form Of A Linear EquationChapter 3.5 - Point-slope FormulaChapter 3.6 - Applications Of Linear Equations And ModelingChapter 4 - Systems Of Linear Equations In Two VariablesChapter 4.1 - Solving Systems Of Equations By The Graphing MethodChapter 4.2 - Solving Systems Of Equations By The Substitution MethodChapter 4.3 - Solving Systems Of Equations By The Addition MethodChapter 4.4 - Applications Of Linear Equations In Two VariablesChapter 4.5 - Systems Of Linear Equations In Three VariablesChapter 4.6 - Applications Of Systems Of Linear Equations In Three VariablesChapter 5 - Polynomials And Properties Of ExponentsChapter 5.1 - Multiplying And Dividing Expressions With Common BasesChapter 5.2 - More Properties Of ExponentsChapter 5.3 - Definitions Of B0 And B−nChapter 5.4 - Scientific NotationChapter 5.5 - Addition And Subtraction Of PolynomialsChapter 5.6 - Multiplication Of Polynomials And Special ProductsChapter 5.7 - Division Of PolynomialsChapter 6 - Factoring PolynomialsChapter 6.1 - Greatest Common Factor And Factoring By GroupingChapter 6.2 - Factoring Trinomials Of The Form X2 + Bx + CChapter 6.3 - Factoring Trinomials: Trial-and-error MethodChapter 6.4 - Factoring Trinomials: Ac-methodChapter 6.5 - Difference Of Squares And Perfect Square TrinomialsChapter 6.6 - Sum And Difference Of CubesChapter 6.7 - Solving Equations Using The Zero Product RuleChapter 6.8 - Applications Of Quadratic EquationsChapter 7 - Rational Expressions And EquationsChapter 7.1 - Introduction To Rational ExpressionsChapter 7.2 - Multiplication And Division Of Rational ExpressionsChapter 7.3 - Least Common DenominatorChapter 7.4 - Addition And Subtraction Of Rational ExpressionsChapter 7.5 - Complex FractionsChapter 7.6 - Rational EquationsChapter 7.7 - Applications Of Rational Equations And ProportionsChapter 8 - Relations And FunctionsChapter 8.1 - Introduction To RelationsChapter 8.2 - Introduction To FunctionsChapter 8.3 - Graphs Of FunctionsChapter 8.4 - Algebra Of Functions And CompositionChapter 8.5 - VariationChapter 9 - More Equations And InequalitiesChapter 9.1 - Compound InequalitiesChapter 9.2 - Polynomial And Rational InequalitiesChapter 9.3 - Absolute Value EquationsChapter 9.4 - Absolute Value InequalitiesChapter 9.5 - Linear Inequalities And Systems Of Linear Inequalities In Two VariablesChapter 10 - Radicals And Complex NumbersChapter 10.1 - Definition Of An Nth RootChapter 10.2 - Rational ExponentsChapter 10.3 - Simplifying Radical ExpressionsChapter 10.4 - Addition And Subtraction Of RadicalsChapter 10.5 - Multiplication Of RadicalsChapter 10.6 - Division Of Radicals And RationalizationChapter 10.7 - Solving Radical EquationsChapter 10.8 - Complex NumbersChapter 11 - Quadratic Equations And FunctionsChapter 11.1 - Square Root Property And Completing The SquareChapter 11.2 - Quadratic FormulaChapter 11.3 - Equations In Quadratic FormChapter 11.4 - Graphs Of Quadratic FunctionsChapter 11.5 - Vertex Of A Parabola: Applications And ModelingChapter 12 - Exponential And Logarithmic Functions And ApplicationsChapter 12.1 - Inverse FunctionsChapter 12.2 - Exponential FunctionsChapter 12.3 - Logarithmic FunctionsChapter 12.4 - Properties Of LogarithmsChapter 12.5 - The Irrational Number E And Change Of BaseChapter 12.6 - Logarithmic And Exponential Equations And ApplicationsChapter 13 - Conic SectionsChapter 13.1 - Distance Formula, Midpoint Formula, And CirclesChapter 13.2 - More On The ParabolaChapter 13.3 - The Ellipse And HyperbolaChapter 13.4 - Nonlinear Systems Of Equations In Two VariablesChapter 13.5 - Nonlinear Inequalities And Systems Of Inequalities In Two VariablesChapter 14 - Binomial Expansions, Sequences, And SeriesChapter 14.1 - Binomial ExpansionsChapter 14.2 - Sequences And SeriesChapter 14.3 - Arithmetic Sequences And SeriesChapter 14.4 - Geometric Sequences And SeriesChapter 15.1 - Mean, Median, And ModeChapter 15.2 - Introduction To GeometryChapter 15.3 - Additional FactoringChapter 15.4 - Solving Systems Of Linear Equations By Using MatricesChapter 15.5 - Determinants And Cramer's RuleChapter 15.6 - Transformations Of Graphs And Piecewise-defined FunctionsChapter 15.7 - Fundamentals Of CountingChapter 15.8 - Introduction To ProbabilityChapter 15.9 - Introduction To ModelingChapter A.1 - Review Of The Set Of Real NumbersChapter A.2 - Review Of Linear Equations And Linear InequalitiesChapter A.3 - Review Of GraphingChapter A.4 - Review Of Systems Of Linear Equations In Two VariablesChapter A.5 - Review Of Polynomials And Properties Of ExponentsChapter A.6 - Review Of Factoring Polynomials And Solving Quadratic EquationsChapter A.7 - Review Of Rational Expressions
Sample Solutions for this Textbook
We offer sample solutions for Beginning and Intermediate Algebra homework problems. See examples below:
Chapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REGiven Information: The expression is; 53 Formula used: For the general expression bn the base is b...Chapter 6, Problem 1REChapter 7, Problem 1REGiven information: The function is {(13,10),(6,−12),(14,4),(7,25)}. Consider the function value is:...Theunion of two sets is a new set that contains all of the elements that are in at least one of the...
Chapter 10, Problem 1REChapter 11, Problem 1REGiven information: The graph of a function, Consider the graph provided in the problem, Now,...Chapter 13, Problem 1REGiven information: The expression is 8!. Formula used: Let n be a positive integer. Then n! is...Given information : Catering company charges $100 plus $35 per person to provide dinner. Concept:...
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