Synopsis
"Intermediate Algebra" offers a practical approach to the study of intermediate algebra concepts, consistent with the needs of today's student. The authors help students to develop a solid understanding of functions by revisiting key topics related to functions throughout the text. They put special emphasis on the worked examples in each section, treating them as the primary means of instruction, since students rely so heavily on examples to complete assignments. The applications are also uniquely designed so that students have an experience that is more true to life - students must read information as it appears in a 'live' media source and extract only the relevant information needed to solve a stated problem. The unique pedagogy in the text focuses on promoting better study habits and critical thinking skills along with orienting students to think and reason mathematically. Through Intermediate Algebra, students will not only be better prepared for future math courses, they will be better prepared to solve problems and answer questions they encounter in their own lives.
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Review
1. FUNDAMENTALS OF ALGEBRA. Sets and Numerical Expressions. Algebraic Expressions. Equations and Inequalities in One Variable. Scientific Notation and Unit Analysis. Applications and Problem Solving. Linear Equations in Two Variables. Linear Inequalities in Two Variables. Summary and Review. Test. 2. POLYNOMIALS AND ABSOLUTE VALUE. Adding, Subtracting, and Multiplying Polynomial Expressions. Factoring Polynomials. Factoring Trinomials. Polynomial Equations. Absolute Value Equations. Conjunctions, Disjunctions, and Absolute Value Inequalities. Summary and Review. Test. 3. RELATIONS AND FUNCTIONS. Relations and Functions. Linear and Constant Functions. Quadratic and Cubic Functions. Polynomial Models. Operations with Functions. Absolute Value Functions. Translation of Polynomial Functions. Summary and Review. Test. Cumulative Review Chapters 1-3. 4. SYSTEM OF LINEAR EQUATIONS. Systems of Linear Equations. Algebraic Methods. Applications. Systems of Linear Equations in Three Variables. Matrix Methods. Systems of Linear Inequalities. Summary and Review. Test. 5. RATIONAL EXPRESSIONS, EQUATIONS AND FUNCTIONS. Simplifying, Multiplying, and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Rational Equations in One Variable. Rational Functions. Variation. Division of Polynomials; Synthetic Division. Rational Inequalities. Summary and Review. Test. 6. RADICAL EXPRESSIONS, EQUATIONS AND FUNCTIONS. Introduction to Radicals. Adding, Subtracting, Multiplying and Simplifying Radical Expressions. Dividing Radical Expressions and Conjugates. Rational Exponents. Radical Equations. Radical Functions. Summary and Review. Test. Cumulative Review Chapters 4-6. 7. QUADRATIC EXPRESSIONS, EQUATIONS AND FUNCTIONS. Complex Numbers. Solving Quadratic Equations. Completing the Square. Quadratic Formula. Quadratic Functions. Vertex Form of a Quadratic Function. Quadratic Inequalities. Summary and Review. Test. 8. EXPONENTIAL AND LOGARITHMIC EXPRESSIONS, EQUATIONS AND FUNCTIONS. Exponential Functions. Logarithmic Functions. Applications. Exponential Equations. Logarithmic Equations. Summary and Review. Test. 9. CONIC SECTIONS SYSTEMS OF NON-LINEAR EQUATIONS. Distance Formula, Midpoint Formula, and Circles. Ellipses. Parabolas. Hyperbolas. Systems of Non-Linear Equations in Two Variables. Summary and Review. Test. Cumulative Review Chapters 7-9. 10. SEQUENCES, SERIES AND THE BINOMIAL THEOREM. Sequences and Series. Arithmetic Sequences. Geometric Sequences. The Binomial Theorem. Summary and Review. Test. APPENDIX. A1: Solving Linear Equations in One Variable. A2: Solving Inequalities in One Variable. A3: Graphing Linear Equations. A4: Slope and Slope-Intercept Form. A5: Writing the Equation of a Line. A6: Reasonability and Problem Solving. A7: Determinants and Cramer's Rule. A8: Developing the Equations of Conic Sections.
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Impressionists and Impressionism
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ISBN 10: 0847803414
ISBN 13: 9780847803415
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Impressionists and Impressionism
Published by
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ISBN 10: 0847803414
ISBN 13: 9780847803415
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Impressionists and Impressionism
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