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*launch*### Intermediate Algebra19th EditionLynn Marecek Publisher: OpenStax CollegeISBN: 9780998625720

Intermediate Algebra

## 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:

Problem 5E:

Problem 6E:

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:

Problem 17E:

Problem 18E:

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+3xy7y2

Problem 34E:

In the following exercises, evaluate the following expressions. 34. When x=3,y=2 6x2+3xy9y2

Problem 35E:

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

Problem 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+2y4

Problem 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.

## Sample Solutions for this Textbook

We offer sample solutions for Intermediate Algebra homework problems. See examples below:

Use the divisibility tests to determine whether 180 is divisible by 2, by 3, by 5, by 6, and by 10.In the following exercises, determine whether each number is a solution to the equation. 496....In the following exercises, plot each point in a rectangular coordinate system. 391. (a) (1,5) (b)...In the following exercises, determine if the following points are solutions to the given system of...In the following exercises, determine the type of polynomial. 342. 16x240x25In the following exercises, solve. 327. The area of a bulletin board is 55 square feet. The length...In the following exercises, determine the values for which the rational expression is undefined....In the following exercises, simplify. 481. a. 225 b. 16In the following exercises, solve using the Square Root Property. 395. y2=144

In the following exercises, for each pair of functions, find (a) (fg)(x),(gf)(x), and (c) (fg)(x)....In the following exercises, find the distance between the points. Round to the nearest tenth if...In the following exercises, write the first five terms of the sequence whose general term is given....

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