| Description |
1 online resource. |
| Series |
--For dummies |
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--For dummies.
|
| Note |
Includes index. |
| Summary |
To succeed in Algebra II, start practicing now Algebra II builds on your Algebra I skills to prepare you for trigonometry, calculus, and a of myriad STEM topics. Working through practice problems helps students better ingest and retain lesson content, creating a solid foundation to build on for future success. Algebra II Workbook For Dummies, 2nd Edition helps you learn Algebra II by doing Algebra II. Author and math professor Mary Jane Sterling walks you through the entire course, showing you how to approach and solve the problems you encounter in class. You'll begin by refreshing your Algebr. |
| Contents |
pt. I. Getting started with algebra II -- 1. Going beyond beginning algebra -- Following the order of operations and other properties -- Specializing in products and FOIL -- Variables on the side : solving linear equations -- Linear absolute value equations -- Equalizing linear inequalities -- Answers to problems -- 2. Handling quadratic (and quadratic-like) equations and inequalities -- Finding reasonable solutions with radicals -- Successfully factoring for solutions -- Factoring multiple ways -- Factoring by grouping -- Resorting to the quadratic formula -- Solving quadratics by completing the square -- Working with quadratic-like equations -- Checking out quadratic inequalities -- Answers to problems -- 3. Rooting out the rational, the radical, and the negative -- Doing away with denominators with an LCD (lowest common denominator) -- Simplifying and solving proportions -- Radicals -- Negative exponents -- Solving equations with fractional exponents -- Answers to problems -- 4. Graphing for the good life -- Coordinating axes, coordinates of points, and quadrants -- Using intercepts and symmetry to graph -- Graphing lines using slope-intercept and standard forms -- Graphing basic polynomial curves -- Radical and absolute value functions -- Using a graphing calculator -- Answers to problems. |
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pt. II. Functions -- 5. Formulating functions -- Evaluating functions -- Determining domain and range of a function -- Recognizing even, odd, and one-to-one functions -- Composing functions and simplifying the difference quotient -- Solving for inverse functions -- Answers to problems -- 6. Specializing in quadratic functions -- Finding intercepts and the vertex of a parabola -- Applying quadratics to real-life situations -- Graphing parabolas -- Answers to problems -- 7. Plugging in polynomials -- Finding basic polynomial intercepts -- Digging up more-difficult polynomial roots with factoring -- Determining where a function is positive or negative -- Graphing polynomials -- Possible roots and where to find them : the rational root theorem and Descartes's Rule -- Getting real results with synthetic division and the remainder theorem -- Connecting the factor theorem with a polynomial's roots -- Answers to problems -- 8. Acting rationally with functions -- Determining domain and intercepts of rational functions -- INtroducing vertical and horizontal asymptotes -- Oblique asymptotes -- Removing discontinuities -- Limits at a number and infinity -- Graphing rational functions -- Answers to problems -- 9. Exposing exponential and logarithmic functions -- Evaluating e-Expressions and powers of e -- Solving exponential equations -- Applying compound interest and continuous compounding -- Checking out the properties of logarithms -- Expanding and contracting expressions with log functions -- Solving logarithmic equations -- Graphing exponential and logarithmic functions -- Answers to problems. |
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pt. III. Conics and systems of equations -- 10. Any way you slice it : conic sections -- Putting equations of parabolas in standard form -- Determining the focus and directrix of a parabola -- Sketching parabolas -- Writing the equations of circles and ellipses in standard form -- Determining foci and vertices of ellipses -- Rounding out your sketches : circles and ellipses -- Hyperbola : standard equations and foci -- Determining the asymptotes and intercepts of hyperbolas -- Sketching the hyperbola -- Answers to problems -- 11. Solving systems of linear equations -- Solving two linear equations algebraically -- Using Cramer's Rule to defeat unruly fractions -- A third variable : upping the systems to three linear equations -- Writing generalized solution rules -- Decomposing fractions using systems -- Answers to problems -- 12. Solving systems of nonlinear equations and inequalities -- Finding the intersections of lines and parabolas -- Crossing curves : finding the intersections of parabolas and circles -- Dealing with exponential systems -- Solving systems of inequalities -- Answers to problems. |
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pt. IV. Other good stuff : lists, arrays, and imaginary numbers -- 13. Getting more complex with imaginary numbers -- Simplifying powers of i -- Doing operations on complex numbers -- "Dividing" complex numbers with a conjugate -- Solving equations with complex solutions -- Answers to problems -- 14. Getting squared away with matrices -- Describing dimensions and types of matrices -- Adding, subtracting, and doing scalar multiplication on matrices -- Multiplying matrices by each other -- Finding inverse matrices -- Using matrices to solve systems of equations -- Answers to problems -- 15. Going out of sequence with sequences and series -- Writing the terms of a sequence -- Differences and multipliers : working with special sequences -- Constructing recursively defined sequences -- Using summation notation -- Finding sums with special series -- Answers to problems -- 16. Everything you ever wanted to know about sets and counting -- Writing the elements of a set from rules or patterns -- Combining sets with unions, intersections, and complements -- Multiplication countdowns : simplifying factorial expressions -- Using the multiplication property -- Counting on permutations when order matters -- Mixing it up with combinations -- Raising binomials to powers : investigating the binomial theorem -- Answers to problems. |
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pt. V. The part of tens -- 17. Ten basic graphs -- Polynomials -- Lining up front and center -- Absolute value -- Graphing reciprocals of x and x2 -- Square root and cube root -- Growing exponentially with a graph -- Logarithmic graphing -- 18. Ten special sequences and their sums -- Adding as easy as one, two, three -- Summing up the squares -- Finding the sum of the cubes -- Summing odd numbers -- Adding up even numbers -- Adding everything arithmetic -- Geometrically speaking -- Easing into a sum for e -- Signing in on the sine -- Powering up on powers of 2 -- Adding up fractions with multiples for denominators. |
| Subject |
Algebra -- Problems, exercises, etc.
|
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Calculus.
|
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Mathematics.
|
|
Mathematics |
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Algèbre -- Problèmes et exercices. |
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Calcul infinitésimal. |
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Mathématiques. |
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calculus. |
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Algebra |
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Calculus |
|
Mathematics |
| Genre |
Problems and exercises
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| Added Title |
Algebra two workbook for dummies |
| Other Form: |
Print version: Sterling, Mary Jane. Algebra II Workbook For Dummies. 2nd ed. Hoboken : Wiley, 2014 9781118867037 |
| ISBN |
9781118867082 (electronic bk.) |
|
1118867084 (electronic bk.) |
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9781118866856 (electronic bk.) |
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1118866851 (electronic bk.) |
|
1118867033 |
|
9781118867037 |
|
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