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Introduction to Algebraic Expressions Introduction to Algebra | |
The Commutative, Associative, and Distributive Laws | |
Fraction Notation | |
Positive and Negative Real Numbers | |
Addition of Real Numbers | |
Subtraction of Real Numbers | |
Multiplication and Division of Real Numbers Exponential Notation and Order of Operations | |
Connecting the Concepts | |
Equations, Inequalities, and Problem Solving Solving Equations | |
Using the Principles Together | |
Connecting the Concepts | |
Formulas | |
Applications with Percent | |
Problem Solving | |
Solving Inequalities | |
Solving Applications with Inequalities | |
Introduction to Graphing | |
Reading Graphs, Plotting Points, and Scaling Graphs | |
Graphing Linear Equations | |
Graphing and Intercepts | |
Rates | |
Slope | |
Slope-Intercept Form | |
Connecting the Concepts | |
Point-Slope Form | |
Connecting the Concepts | |
Polynomials | |
Exponents and Their Properties Polynomials | |
Addition and Subtraction of Polynomials Connecting the Concepts | |
Multiplication of Polynomials | |
Special Products | |
Polynomials in Several Variables | |
Division of Polynomials | |
Negative Exponents and Scientific Notation | |
Polynomials and Factoring | |
Introduction to Factoring | |
Factoring Trinomials of the Type x 2 + bx + c Factoring Trinomials of the Type ax 2 + bx + c | |
Factoring Perfect-Square Trinomials and Differences of Squares | |
Factoring Sums or Differences of Cubes | |
Factoring: A General Strategy | |
Connecting the Concepts | |
Solving Quadratic Equations by Factoring | |
Connecting the Concepts | |
Solving Applications | |
Rational Expressions and Equations | |
Rational Expressions | |
Multiplication and Division | |
Addition, Subtraction, and Least Common Denominators | |
Addition and Subtraction with Unlike Denominators | |
Complex Rational Expressions | |
Solving Rational Equations | |
Connecting the Concepts | |
Applications Using Rational Equations and Proportions Formulas and Equations | |
Functions and Graphs | |
Introduction to Functions | |
Domain and Range | |
Graphs of Functions (including brief review of graphing) | |
Connecting the Concepts | |
The Algebra of Functions | |
Variation and Problem Solving | |
Chapter 8 | |
Systems of Equations in Two Variables | |
Solving by Substitution or Elimination | |
Connecting the Concepts | |
Solving Applications: Systems of Two Equations Systems of Equations in Three Variables | |
Connecting the Concepts | |
Solving Applications: Systems of Three Equations | |
Elimination Using Matrices | |
Determinants and Cramerrsquo;s Rule | |
Business and Economics Applications | |
Inequalities and Problem Solving | |
Interval Notation and Problem Solving | |
Intersections, Unions, and Compound Inequalities | |
Absolute-Value Equations and Inequalities | |
Inequalities in Two Variables | |
Connecting the Concepts | |
Applications Using Linear Programming | |
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 | |
Connecting the Concepts | |
Geometric Applications | |
The Complex Numbers | |
Quadratic Functions and Equations | |
Quadratic Eq | |
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