An edition of Algebra II Workbook for Dummies
(2014)
Algebra II workbook for dummies
2nd ed.
by Mary Jane Sterling
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Subjects
Algebra, problems, exercises, etc., Algebra| Edition | Availability |
|---|---|
1
Algebra II Workbook for Dummies
2018, Wiley & Sons, Incorporated, John
in English
1119543126 9781119543121
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2
Algebra II Workbook for Dummies
2018, Wiley & Sons, Incorporated, John
in English
1119543134 9781119543138
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zzzz
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3
Algebra II workbook for dummies
2014, John Wiley & Sons
in English
- 2nd ed.
1118867033 9781118867037
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|
Book Details
Table of 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
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
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
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
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.
Edition Notes
Includes index.
Classifications
The Physical Object
ID Numbers
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| October 18, 2022 | Edited by ImportBot | import existing book |
| August 25, 2020 | Created by ImportBot | import new book |