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Textbook Chapters 1 - 8
1. Real Numbers (Optional Review)
1.1 Study Skills for Success in Mathematics
1.2 Problem Solving
1.3 Fractions
1.4 The Real Number System
1.5 Inequalities
1.6 Addition of Real Numbers
1.7 Subtraction of Real Numbers
1.8 Multiplication and Division of Real Numbers
1.9 Exponents, Parentheses, and the Order of Operations
1.10 Properties of the Real Number System
2. Solving Linear Equations
2.1 Combining Like Terms
2.2 The Addition Property of Equality
2.3 The Multiplication Property of Equality
2.4 Solving Linear Equations with a Variable on Only One Side of the Equation
2.5 Solving Linear Equations with the Variable on Both Sides of the Equation
2.6 Formulas
2.7 Ratios and Proportions
3. Applications of Algebra
3.1 Changing Application Problems into Equations
3.2 Solving Application Problems
4. Graphing Linear Equations
4.1 The Cartesian Coordinate System and Linear Equations in Two Variables
4.2 Graphing Linear Equations
4.3 Slope of a Line
4.4 Slope-Intercept and the Point-Slope Forms of the Linear Equation
5. Exponents and Polynomials
5.1 Exponents
5.2 Negative Exponents
5.3 Scientific Notation
5.4 Addition and Subtraction of Polynomials
5.5 Multiplication of Polynomials
5.6 Division of polynomials
6. Factoring
6.1 Factoring a Monomial from a Polynomial
6.2 Factoring by Grouping
6.3 Factoring Trinomials of the form ax2 + bx + c, a = 1
6.4 Factoring Trinomials of the form ax2 + bx + c, a ≠ 1
6.5 Special Factoring Formulas and a General Review of Factoring
6.6 Solving Quadratic Equations Using Factoring
6.7 Applications of Quadratic Equations
7. Rational Expressions and Equations
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
8. Functions and their Graphs
8.1 More on Graphs
8.2 Functions
8.3 Linear Functions
8.4 Slope, Modeling, and Linear Relationships
8.5 Algebra of Functions
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