- Shopping Bag ( 0 items )
This text teaches solid mathematical skills while supporting the student with careful pedagogy. Gustafson and Frisk effectively prepare students for their next mathematics course as it presents all the topics associated with a first course in algebra. Mathematical concepts are motivated by need and illustrated through discussion, examples, and real-world applications.
1. REAL NUMBERS AND THEIR BASIC PROPERTIES. Real Numbers and Their Graphs. Fractions. Exponents and Order of Operations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Algebraic Expressions. Properties of Real Numbers. Project. Chapter Summary. Chapter Test. 2. EQUATIONS AND INEQUALITIES. Solving Basic Equations. Solving More Equations. Simplifying Expressions to Solve Equations Introduction to Problem Solving. Motion and Mixture Problems. Formulas. Solving Inequalities. Projects. Chapter Summary. Chapter Test. Cumulative Review Exercises. 3. GRAPHING, WRITING EQUATIONS OF LINES; VARIATION. The Rectangular Coordinate System. Graphing Linear Equations. Slope of a Nonvertical Line. Writing Equations of Lines. Functions. Variation. Project. Chapter Summary. Chapter Test. 4. POLYNOMIALS. Natural-Number Exponents. Zero and Negative-Integer Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Project. Chapter Summary. Chapter Test. Cumulative Review Exercises. 5. FACTORING POLYNOMIALS. Factoring Out the Greatest Common Factor. Factoring By Grouping. Factoring the Difference of Two Squares. Factoring Trinomials with Lead Coefficients of 1. Factoring General Trinomials. Factoring the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Problem Solving. Project. Chapter Summary. Chapter Test. 6. PROPORTION AND RATIONAL EXPRESSIONS. Ratios. Proportions and Similar Triangles. Simplifying Fractions. Multiplying and Dividing Fractions. Adding and Subtracting Fractions. Complex Fractions. Solving Equations That Contain Fractions. Applications of Equations That Contain Fractions. Projects. Chapter Summary. Chapter Test. Cumulative Review Exercises. 7. 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. Systems of Linear Inequalities. Project. Chapter Summary. Chapter Test. 8. ROOTS AND RADICAL EXPRESSIONS. Square Roots and the Pythagorean Theorem. nth Roots and Radicands That Contain Variables. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Equations Containing Radicals; the Distance Formula. Rational Exponents. Project. Chapter Summary. Chapter Test. Cumulative Review Exercises. 9. QUADRATIC EQUATIONS AND GRAPHING QUADRATIC FUNCTIONS. Quadratic Equations. Completing the Square. The Quadratic Formula. Graphing Quadratic Functions. Projects. Chapter Summary. Chapter Test. Appendices. Appendix I: Sample Final Examination. Appendix II: Complex Numbers. Appendix III: Powers and Roots.