Introductory Algebra
Brooks/Cole
978-0-534-35824-2 (ISBN)
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This text was written with two goals in mind: to present the skills of algebra in the context of modelling and problem solving; and to engage students as active participants in the process of learning. Unlike other introductory algebra texts, it builds an intuitive framework for the future study of functions in intermediate algebra. The text emphasizes the study of tables and graphs, and the concept of the variable is developed from that platform. Graphs are used extensively throughout the book to illustrate algebraic technique and to help students visualize relationships between variables. The numerous labelled grids paired with exercises throughout the text reinforce the need to draw graphs by hand while helping students to focus on the properties of the graphs by eliminating the time-consuming task for beginning students of choosing the appropriate scales for the axes. Suggestions for calculator activities are included on the text website but the authors believe that this skill must be learned through practice with pencil and paper.
Variables and equations: tables and bar graphs; line graphs; variables; algebraic expressions; graphs of equations; midchapter review; solving equations; problem solving with algebra; order of operations; more algebraic expressions; equations with two or more operations; chapter summary and review. Linear equations: adding signed numbers; subtracting signed numbers; multiplying and dividing signed numbers; graphs of linear equations; solving linear equations; midchapter review; solving linear inequalities; intercepts of a line; like terms; the distributive law; line of best fit; chapter summary and review. Applications of linear equations: ratio and proportion; similarity; direct variation; slope; slope-intercept form; midchapter review; systems of linear equations; algebraic solution of systems; applications of systems of equations; point-slope form; using the point-slope form; chapter summary and review. Quadratic equations: exponents and formulas; square roots; nonlinear graphs; the Pythagorean Theorem; products of binomials; midchapter review; graphing quadratic equations; solving quadratic equations; factoring quadratic trinomials; more about factoring; the quadratic formula; chapter summary and review. Polynomials and rational expressions: polynomials; products of polynomials; factoring polynomials; special products and factors; inverse variation; midchapter review; algebraic fractions; operations on algebraic fractions; lowest common denominators; equations with algebraic fractions; chapter summary and review. More about exponents and radicals: laws of exponents; negative exponents; scientific notation; midchapter review; properties of radicals; operations with radicals; equations with radicals; chapter summary and review. Appendices: review of arithmetic skills; reducing and building fractions; multiplying and dividing fractions; adding and subtracting fractions; mixed numbers and improper fractions; decimal fractions; rounding decimal numbers; adding and subtracting decimal numbers; multiplying and dividing decimal numbers; percents; laws of arithmetic; measures of central tendency - mode, mean, and median; additional topics; prime factorization; completing the square; polynomial division; inequalities in two variables; complex numbers; answers to odd-numbered problems.
| Erscheint lt. Verlag | 31.5.2003 |
|---|---|
| Zusatzinfo | graphs, tables, glossary, index |
| Verlagsort | CA |
| Sprache | englisch |
| Maße | 216 x 279 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 0-534-35824-1 / 0534358241 |
| ISBN-13 | 978-0-534-35824-2 / 9780534358242 |
| Zustand | Neuware |
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