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Chapter 1: Real Numbers |
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| 1.1a |
The Real Number Line and Inequalities |
| 1.1b |
Introduction to Absolute Values |
| 1.2 |
Addition with Integers |
| 1.3 |
Subtraction with Integers |
| 1.4 |
Multiplication and Division with Integers |
| 1.5a |
Factoring Positive Integers |
| 1.5b |
Order of Operations |
| 1.6a |
Reduction of Proper Fractions |
| 1.6b |
Reduction of Improper Fractions |
| 1.6c |
Reduction of Positive and Negative Fractions |
| 1.6d |
Multiplying and Dividing Fractions |
| 1.7 |
Adding and Subtracting Fractions |
| 1.8a |
Decimals and Rounding |
| 1.8b |
Decimals and Fractions |
| 1.8c |
Applications: Change In Value |
| 1.9 |
Properties of Real Numbers |
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Chapter 2: Algebraic Expressions, Linear Equations, and Applications |
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|
| 2.1a |
Variables and Algebraic Expressions |
| 2.1b |
Simplifying Expressions |
| 2.1c |
Evaluating Algebraic Expressions |
| 2.2 |
Translating Phrases into Algebraic Expressions |
| 2.3a |
Solving Linear Equations Using Addition and Subtraction |
| 2.3b |
Applications of Linear Equations: Addition and Subtraction |
| 2.3c |
Solving Linear Equations Using Multiplication and Division |
| 2.3d |
Applications of Linear Equations: Multiplication and Division |
| 2.4 |
Solving Linear Equations |
| 2.5 |
Applications: Number Problems and Consecutive Integers |
| 2.6 |
Percents and Applications |
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Chapter 3: Formulas, Applications, and Linear Inequalities |
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|
| 3.1 |
Working with Formulas |
| 3.2 |
Formulas in Geometry |
| 3.3 |
Applications |
| 3.4 |
Solving Equations: Ratios and Proportions |
| 3.5 |
Solving Linear Inequalities |
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Chapter 4: Straight Lines and Functions |
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| 4.1 |
Introduction to the Cartesian Coordinate System |
| 4.2 |
Graphing Linear Equations by Plotting Points |
| 4.3 |
Graphing Linear Equations in Slope-Intercept Form |
| 4.4a |
Finding the Equation of a Line |
| 4.4b |
Graphing Linear Equations in Point-Slope Form |
| 4.5 |
Introduction to Functions and Function Notation |
| 4.6 |
Graphing Linear Inequalities |
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Chapter 5: Exponents and Polynomials |
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|
| 5.1 |
Simplifying Integer Exponents I |
| 5.2a |
Simplifying Integer Exponents II |
| 5.2b |
Scientific Notation |
| 5.3 |
Identifying and Evaluating Polynomials |
| 5.4 |
Adding and Subtracting Polynomials |
| 5.5a |
Multiplying Polynomials |
| 5.5b |
The FOIL Method |
| 5.6 |
Special Products |
| 5.7a |
Division by a Monomial |
| 5.7b |
The Division Algorithm |
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Chapter 6: Factoring Polynomials and Solving Quadratic Equations |
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| 6.1a |
Greatest Common Factor of Two or More Terms |
| 6.1b |
Greatest Common Factor of a Polynomial |
| 6.1c |
Factoring Expressions by Grouping |
| 6.2a |
Special Factorizations - Squares |
| 6.2b |
Factoring Trinomials by Grouping |
| 6.2c |
Factoring Trinomials by Trial and Error |
| 6.3 |
Additional Special Factoring Techniques |
| 6.4 |
Solving Quadratic Equations by Factoring |
| 6.5 |
Applications of Quadratic Equations |
| 6.7 |
Using a Graphing Calculator to Solve Equations |
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Chapter 7: Rational Expressions |
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|
| 7.1a |
Defining Rational Expressions |
| 7.1b |
Multiplication and Division of Rational Expressions |
| 7.2 |
Addition and Subtraction of Rational Expressions |
| 7.3 |
Complex Fractions |
| 7.4a |
Solving Equations Involving Rational Expressions |
| 7.4b |
Solving Inequalities with Rational Expressions |
| 7.5 |
Applications Involving Rational Expressions |
| 7.6 |
Applications: Variation |
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