## Solutions for Intermediate Algebra

Problem 1.1TI:

Is 4,962 divisible by (a) 2? (b) 3? (c) 5? (d) 6? (e)10?Problem 1.2TI:

Is 3,765 divisible by (a) 2? (b) 3? (c) 5? (d) 6? (e) 10?Problem 1.3TI:

Find the prime factorization of 80.Problem 1.4TI:

Find the prime factorization of 60.Problem 1.5TI:

Find the LCM of 9 and 12 using the Prime Factors Method.Problem 1.6TI:

Find the LCM of 18 and 24 using the Prime Factors Method.Problem 1.7TI:

Simplify: 305+10(32) .Problem 1.8TI:

Simplify: 7010+4(62) .Problem 1.9TI:

Simplify: 9+53[4(9+3)].Problem 1.10TI:

Simplify: 722[4(5+1)].Problem 1.11TI:

Evaluate when x=3 , (a) x2 (b) 4x (c) 3x2+4x+1 .Problem 1.12TI:

Evaluate when x=6 , (a) x3 (b) 2x (c) 6x24x7 .Problem 1.13TI:

Simplify: 3x2+7x+9+7x2+9x+8 .Problem 1.14TI:

Simplify: 4y2+5y+2+8y2+4y+5 .Problem 1.15TI:

Translate the English phrase into an algebraic expression: (a) the difference of 14x2and 13 (b) the...Problem 1.16TI:

Translate the English phrase into an algebraic expression: (a) the sum of 17y2and 19 (b) the product...Problem 1.17TI:

Translate the English phrase into an algebraic expression: (a) four times the sum of p and q(b) the...Problem 1.18TI:

Translate the English phrase into an algebraic expression: (a) the difference of two times x and 8...Problem 1.19TI:

The length of a rectangle is 7 less than the width. Let w represent the width of the rectangle....Problem 1.20TI:

The width of a rectangle is 6 less than the length. Let I represent the length of the rectangle....Problem 1.21TI:

Geoffrey has dimes and quarters in his pocket. The number of dimes is eight less than four times the...Problem 1.22TI:

Lauren has dimes and nickels in her purse. The number of dimes is three more than seven times the...Problem 1E:

In the following exercises, use the divisibility tests to determine whether each number is divisible...Problem 2E:

In the following exercises, use the divisibility tests to determine whether each number is divisible...Problem 3E:

In the following exercises, use the divisibility tests to determine whether each number is divisible...Problem 4E:

In the following exercises, use the divisibility tests to determine whether each number is divisible...Problem 5E:

In the following exercises, use the divisibility tests to determine whether each number is divisible...Problem 6E:

In the following exercises, use the divisibility tests to determine whether each number is divisible...Problem 13E:

In the following exercises, find the least common multiple of each pair of numbers using the prime...Problem 14E:

In the following exercises, find the least common multiple of each pair of numbers using the prime...Problem 15E:

In the following exercises, find the least common multiple of each pair of numbers using the prime...Problem 16E:

In the following exercises, find the least common multiple of each pair of numbers using the prime...Problem 17E:

In the following exercises, find the least common multiple of each pair of numbers using the prime...Problem 18E:

In the following exercises, find the least common multiple of each pair of numbers using the prime...Problem 31E:

In the following exercises, evaluate the following expressions. 31. When x=2 , (a) x6 (b) 4x (c)...Problem 32E:

In the following exercises, evaluate the following expressions. 32. When x=3 , (a) x5 (b) 5x (c)...Problem 33E:

In the following exercises, evaluate the following expressions. 33. When x=4,y=1 x2+3xy7y2Problem 34E:

In the following exercises, evaluate the following expressions. 34. When x=3,y=2 6x2+3xy9y2Problem 35E:

In the following exercises, evaluate the following expressions. 35. When x=10,y=7 (xy)2Problem 37E:

In the following exercises, simplify the following expressions by combining like terms. 37....Problem 38E:

In the following exercises, simplify the following expressions by combining like terms. 38. 8y+5+2y4Problem 39E:

In the following exercises, simplify the following expressions by combining like terms. 39....Problem 40E:

In the following exercises, simplify the following expressions by combining like terms. 40....Problem 41E:

In the following exercises, simplify the following expressions by combining like terms. 41....Problem 42E:

In the following exercises, simplify the following expressions by combining like terms. 42....Problem 43E:

In the following exercises, translate the phrases into algebraic expressions. 43. (a)the difference...Problem 44E:

In the following exercises, translate the phrases into algebraic expressions. 44. (a)the difference...Problem 45E:

In the following exercises, translate the phrases into algebraic expressions. 45. (a)the sum of...Problem 46E:

In the following exercises, translate the phrases into algebraic expressions. 46. (a)the sum of 3x2y...Problem 47E:

In the following exercises, translate the phrases into algebraic expressions. 47. (a)eight times the...Problem 48E:

In the following exercises, translate the phrases into algebraic expressions. 48. (a)seven times the...Problem 49E:

In the following exercises, translate the phrases into algebraic expressions. 49. (a)five times the...Problem 50E:

In the following exercises, translate the phrases into algebraic expressions. 50. (a)eleven times...Problem 51E:

In the following exercises, translate the phrases into algebraic expressions. 51. Eric has rock and...Problem 52E:

In the following exercises, translate the phrases into algebraic expressions. 52. The number of...Problem 53E:

In the following exercises, translate the phrases into algebraic expressions. 53. Greg has nickels...# 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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