This text reinforces the major concepts of algebra through a combined traditional/reform approach. The text's vocabulary, practice drills, and well-defined pedagogy are akin to a traditional book, while its focus on problem solving, reasoning, communicating, and technology should make it appealing to followers of reform as well. The book's foundation is a group of fundamental algebraic concepts that students should learn to master by the end of the course. Through numerous examples and exercises, students learn how to read, write, and think mathematically.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Illustrationen
Maße
Höhe: 279 mm
Breite: 222 mm
Gewicht
ISBN-13
978-0-534-35528-9 (9780534355289)
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Schweitzer Klassifikation
An introduction to algebra: describing numerical relationships; the real numbers; exponents and order of operations; algebraic expressions; solving equations; problem solving; chapter review; chapter test. Real numbers, equations, and inequalities: adding and subtracting real numbers; multiplying, finding powers, and dividing real numbers; order of operations and evaluating algebraic expressions; simplifying algebraic expressions; solving equations; formulas; problem solving; inequalities; chapter review; chapter test; cumulative review exercises. Graphs, linear equations, and functions: graphing using the rectangular coordinate system; equations containing two variables; graphing linear equations using a graphing utility; rate of change and the slope of a line; writing equations of lines; functions; chapter review; chapter test. Solving systems of equations and inequalities: solving systems of equations by graphing; solving systems of equations by substitution; solving systems of equations by addition; applications of systems of equations; solving systems of linear inequalities; solving systems of three equations in three variables; chapter review; chapter test; cumulative review exercises. Exponents and polynomials: natural-number exponents; zero- and negative-integral exponents; scientific notation; polynomials; adding and subtracting polynomials; multiplying polynomials; dividing polynomials by monomials; dividing polynomials by polynomials; chapter review; chapter test; roots and radicals; square roots and the pythagorean theorem; nth roots and radicands that contain variables; solving equations containing radicals and the distance formula; simplifying radical expressions; adding and subtracting radical expressions; multiplying and dividing radical expressions; rational exponents; chapter review; chapter test; cumulative review. Quadratic equations: solving equations of the form x squared = c; completing the square; the quadratic formula; applications of quadratic equations; complex numbers; graphing quadratic functions; chapter review; chapter test. Rational expressions: the basic properties of fractions; multiplying fractions; dividing fractions; adding and subtracting fractions with like denominators; adding and subtracting fractions with unlike denominators; complex fractions; solving equations that contain fractions; ratio and proportion; chapter review; chapter test; cumulative review exercises.
