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Algebraic and Problem Solving | |
Some Basics of Algebra | |
Operations and Properties of Real Numbers | |
Solving Equations | |
Introduction to Problem Solving | |
Formulas, Models, and Geometry | |
Properties of Exponents | |
Scientific Notation | |
Graphs, Functions, and Linear | |
Equations | |
Graphs | |
Functions | |
Linear Functions: Slope, Graphs, and Models | |
Another Look at Linear Graphs | |
Other Equations of Lines | |
The Algebra of Functions | |
Introduction to Graphing | |
Systems of Equations in Two Variables | |
Solving by Substitution or Elimination | |
Solving Applications: Systems of Two Equations | |
Systems of Equations in Three Variables | |
Solving Applications: Systems of Three Variables | |
Elimination Using Matrices | |
Determinants and Cramer's Rule | |
Business and Economics Applications | |
Inequalities and Problem Solving | |
Inequalities and Applications | |
Intersections, Unions, and Compound Inequalities | |
Absolute-Value Equations and Inequalities | |
Inequalities in Two Variables | |
Applications Using Linear Programming | |
Polynomials and Polynomial Functions | |
Introduction to Polynomials and Polynomial Functions | |
Multiplication of Polynomials | |
Common Factors and Factoring by Grouping | |
Factoring Trinomials | |
Factoring Perfect-Square Trinomials and Differences of Squares | |
Factoring Sums or Differences of Cubes | |
Factoring: A General Strategy | |
Applications of Polynomial Equations | |
Rational Expressions, Equations, and Functions | |
Rational Expressions and Functions: Multiplying and Dividing | |
Rational Expressions and Functions: Adding and Subtracting | |
Complex Rational Expressions | |
Rational Equations | |
Solving Applications Using Rational Equations | |
Division of Polynomials | |
Synthetic Division | |
Formulas, Applications, and Variation | |
Exponents and Radicals | |
Radical Expressions and Functions | |
Rational Numbers as Exponents | |
Multiplying Radical Expressions | |
Dividing Radical Expressions | |
Expressions Containing Several Radical Terms | |
Solving Radical Equations | |
The Distance and Midpoint Formulas and Other Applications | |
The Complex Numbers | |
Quadratic Functions and Equations | |
Quadratic Equations | |
The Quadratic Formula | |
Studying Solutions of Quadratic Equations | |
Applications Involving Quadratic Equations | |
Equations Reducible to Quadratic | |
Quadratic Functions and Their Graphs | |
More About Graphing Quadratic Functions | |
Problem Solving and Quadratic Functions | |
Polynomial and Rational Inequalities | |
Exponential and Logarithmic Functions | |
Composite and Inverse Functions | |
Exponential Functions | |
Logarithmic Functions | |
Properties of Logarithmic Functions | |
Common and Natural Logarithms | |
Solving Exponential and Logarithmic Functions | |
Applications of Exponential and Logarithmic Functions | |
Conic Sections | |
Conic Sections: Parabolas and Circles | |
Conic Sections: Ellipses | |
Conic Sections: Hyperbolas | |
Nonlinear Systems of Equations | |
Sequences, Series, and the Binomial Theorem | |
Sequences and Series | |
Arithmetic Sequences and Series | |
Geometric Sequences and Series | |
The Binomial Theorem | |
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