Cargando…
Algebra II workbook for dummies /
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 futu...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hoboken, N.J. :
Wiley,
©2014.
©2014 |
| Edición: | 2nd ed. |
| Colección: | --For dummies.
|
| Temas: | |
| Acceso en línea: | Texto completo (Requiere registro previo con correo institucional) |
Tabla de Contenidos:
- 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.