عنوان

Algebra II workbook for dummies /

1118867033

9781118867037 (pbk.) :

9781118866856 (ebk)

9781118867082 (ebk)

bnb

b418461

Algebra II workbook for dummies /

[Book]

by Mary Jane Sterling

2nd ed

Hoboken, NJ :

John Wiley & Sons,

c2014

viii, 302 p. :

ill. ;

26 cm

--for dummies

Includes index

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

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Algebra 2 workbook for dummies

Algebra two workbook for dummies

Algebra, Problems, exercises, etc

Mathematics

Sterling, Mary Jane

20150526120207.0

[Book]

Y