College Algebra1st EditionJay Abramson Publisher: OpenStaxISBN: 9781938168383
College Algebra
Solutions for College Algebra
Problem 1TI:
Solve the linear equation in one variable: 2x+1=9 .Problem 2TI:
Solve the equation in one variable: 2(3x1)+x=14x .Problem 3TI:
Solve the rational equation: 23x=1416x.Problem 4TI:
Solve the rational equation: 52x+34x=74.Problem 5TI:
Solve 32x+1=43x+1. State the excluded values.Problem 6TI:
Solve the rational equation: 2x2+1x+1=1x2x2.Problem 8TI:
Given m=4 , find the equation of the line in slope-intercept form passing through the point (2,5) .Problem 9TI:
Find the equation of the line in standard from with slope m=13 and passing through the point (1,13).Problem 11TI:
Graph the two lines and determine whether they are parallel, perpendicular, or neither:...Problem 12TI:
Find the equation of the line parallel to 5x=7+y and passing through the point (1,2) .Problem 2SE:
What is the relationship between the slopes of perpendicular lines (assuming neither is horizontal...Problem 3SE:
How do we recognize when an equation, for example y=4x+3 , will be a straight line (linear) when...Problem 5SE:
When solving the following equation: 2x5=4x+1 explain why we must exclude x=5andx=1 aspossible...Problem 16SE:
For the following exercises, solve each rational equation for x. State all x-values that are...Problem 17SE:
For the following exercises, solve each rational equation for x. State all x-values that are...Problem 18SE:
For the following exercises, solve each rational equation for x. State all x-values that are...Problem 19SE:
For the following exercises, solve each rational equation for x. State all x-values that are...Problem 20SE:
For the following exercises, solve each rational equation for x. State all x-values that are...Problem 21SE:
For the following exercises, solve each rational equation for x. State all x-values that are...Problem 22SE:
For the following exercises, find the equation of the line using the point-slope formula. Write all...Problem 23SE:
For the following exercises, find the equation of the line using the point-slope formula. Write all...Problem 24SE:
For the following exercises, find the equation of the line using the point-slope formula. Write all...Problem 25SE:
For the following exercises, find the equation of the line using the point-slope formula. Write all...Problem 26SE:
For the following exercises, find the equation of the line using the point-slope formula. Write all...Problem 27SE:
For the following exercises, find the equation of the line using the point-slope formula. Write all...Problem 28SE:
For the following exercises, find the equation of the line using the point-slope formula. Write all...Problem 29SE:
For the following exercises, find the equation of the line using the point-slope formula. Write all...Problem 30SE:
For the following exercises, find the equation of the line using the given information. 30....Problem 31SE:
For the following exercises, find the equation of the line using the given information. 31....Problem 32SE:
For the following exercises, find the equation of the line using the given information. 32. The...Problem 33SE:
For the following exercises, find the equation of the line using the given information. 33. The...Problem 34SE:
For the following exercises, find the equation of the line using the given information. 34. The...Problem 35SE:
For the following exercises, find the equation of the line using the given information. 35....Problem 36SE:
For the following exercises, graph the pair of equations on the same axes, and state whether they...Problem 37SE:
For the following exercises, graph the pair of equations on the same axes, and state whether they...Problem 38SE:
For the following exercises, graph the pair of equations on the same axes, and state whether they...Problem 39SE:
For the following exercises, graph the pair of equations on the same axes, and state whether they...Problem 40SE:
For the following exercises, find the slope of the line that passes through the given points. 40....Problem 41SE:
For the following exercises, find the slope of the line that passes through the given points....Problem 42SE:
For the following exercises, find the slope of the line that passes through the given points....Problem 43SE:
For the following exercises, find the slope of the line that passes through the given points....Problem 44SE:
For the following exercises, find the slope of the line that passes through the given points....Problem 45SE:
For the following exercises, find the slope of the lines that pass through each pair of points and...Problem 46SE:
For the following exercises, find the slope of the lines that pass through each pair of points and...Problem 47SE:
For the following exercises, express the equations in slope intercept form (rounding each number to...Problem 48SE:
For the following exercises, express the equations in slope intercept form (rounding each number to...Problem 49SE:
For the following exercises, express the equations in slope intercept form (rounding each number to...Problem 50SE:
Starting with the point-slope formula yy1=m(xx1) , solve this expression for x in terms of...Problem 51SE:
Starting with the standard form of an equation Ax+By=C , solve this expression for y in terms of A,...Problem 52SE:
Use the above derived formula to put the following standard equation in slope intercept form:...Problem 53SE:
Given that the following coordinates are the vertices of a rectangle, prove that this truly is a...Problem 55SE:
The slope for a wheelchair ramp for a home has to be 112 . If the vertical distance from the ground...Problem 56SE:
If the profit equation for a small business selling x number of item one and y number of item two is...Problem 57SE:
For the following exercises, use this scenario: The cost of renting a car is $45/wk plus $0.25/mi...Browse All Chapters of This Textbook
Chapter 1 - PrerequisitesChapter 1.1 - Real Numbers: Algebra EssentialsChapter 1.2 - Exponents And Scientific NotaionChapter 1.3 - Radicals And Rational ExpressionsChapter 1.4 - PolynomialsChapter 1.5 - Factoring PolynomialsChapter 1.6 - Rational ExpressionsChapter 2 - Equations And InequalitiesChapter 2.1 - The Rectangular Coordinate Systems And GraphsChapter 2.2 - Linear Equations In One Variable
Chapter 2.3 - Models And ApplicationsChapter 2.4 - Complex NumbersChapter 2.5 - Quadratic EquationsChapter 2.6 - Other Types Of EquationsChapter 2.7 - Linear Inequalities And Absolute Value InequalitiesChapter 3 - FunctionsChapter 3.1 - Functions And Function NotationChapter 3.2 - Domain And RangeChapter 3.3 - Rates Of Change And Behavior Of GraphsChapter 3.4 - Composition Of FunctionsChapter 3.5 - Transformation Of FunctionsChapter 3.6 - Absolute Value FunctionsChapter 3.7 - Inverse FunctionsChapter 4 - Linear FunctionsChapter 4.1 - Linear FunctionsChapter 4.2 - Modeling With Linear FunctionsChapter 4.3 - Fitting Linear Models To DataChapter 5 - Polynomial And Rational FunctionsChapter 5.1 - Quardratic FunctionsChapter 5.2 - Power Functions And Polynomial FunctionsChapter 5.3 - Graphs Of Polynomial FunctionsChapter 5.4 - Dividing PolynomialsChapter 5.5 - Zeros Of Polynomial FunctionsChapter 5.6 - Rational FunctionsChapter 5.7 - Inverses And Radical FunctionsChapter 5.8 - Modeling Using VariationChapter 6 - Exponential And Logarithmic FunctionsChapter 6.1 - Exponential FunctionsChapter 6.2 - Graphs Of Exponential FunctionsChapter 6.3 - Logarithmic FunctionsChapter 6.4 - Graphs Of Logarithmic FunctionsChapter 6.5 - Logarithmic PropertiesChapter 6.6 - Exponential And Logarithmic EquationsChapter 6.7 - Exponential And Logarithmic ModelsChapter 6.8 - Fitting Exponential Models To DataChapter 7 - Systems Of Equations And InequalitiesChapter 7.1 - Systems Of Linear Equations: Two VariablesChapter 7.2 - Systems Of Linear Equations: Three VariablesChapter 7.3 - Systems Of Nonlinear Equations And Inequalities: Two VariablesChapter 7.4 - Partial FractionsChapter 7.5 - Matrices And Matrix OperationsChapter 7.6 - Solving Systems With Gaussian EliminationChapter 7.7 - Solving Systems With InversesChapter 7.8 - Solving Systems With Cramer's RuleChapter 8 - Analytic GeometryChapter 8.1 - The EllipseChapter 8.2 - The HyperbolaChapter 8.3 - The ParabolaChapter 8.4 - Rotation Of AxisChapter 8.5 - Conic Sections In Polar CoordinatesChapter 9 - Sequences, Probability And Counting TheoryChapter 9.1 - Sequences And Their NotationsChapter 9.2 - Arithmetic SequencesChapter 9.3 - Geometric SequencesChapter 9.4 - Series And Their NotationsChapter 9.5 - Counting PrinciplesChapter 9.6 - Binomial TheoremChapter 9.7 - Probability
Book Details
College Algebra provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs. College Algebra guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples - usually several dozen per chapter - offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned. This is a full-color textbook.
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