Module 1: Whole Numbers and Introduction to Algebra
1.1: Understanding Whole Numbers
1.2: Adding Whole Number Expressions
1.3: Subtracting Whole Number Expressions
1.4: Multiplying Whole Number Expressions
1.5: Dividing Whole Number Expressions
1.6: Exponents and the Order of Operations
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How Am I Doing? Topics 1.1–1.6
1.7: More on Algebraic Expressions
1.8: Introduction to Solving Linear Equations
1.9: Solving Applied Problems Using Several Operations
Module 1 Organizer
Module 1 Review Problems
How Am I Doing? Module 1 Test
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Module 2: Integers
2.1: Understanding Integers
2.2: Adding Integers
2.3: Subtracting Integers
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How Am I Doing? Topics 2.1–2.3
2.4: Multiplying and Dividing Integers
2.5: The Order of Operations and Applications Involving Integers
2.6: Simplifying and Evaluating Algebraic Expressions
Module 2 Organizer
Module 2 Review Problems
How Am I Doing? Module 2 Test
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Module 3: Introduction to Equations and Algebraic Expressions
3.1: Equations of the form x + a = c and x - a = c
3.2: Equations of the form ax = c
How Am I Doing? Topics 3.1–3.2
3.3: Equations and Geometric Formulas
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3.4: Performing Operations with Exponents
Module 3 Organizer
Module 3 Review Problems
How Am I Doing? Module 3 Test
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Module 4: Fractions, Ratio, and Proportions
4.1: Factoring Whole Numbers
4.2: Understanding Fractions
4.3: Simplifying Fractional Expressions
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How Am I Doing? Topics 4.1–4.3
4.4: Simplifying Fractional Expressions with Exponents
4.5: Ratios and Rates
4.6: Proportions and Applications
Module 4 Organizer
Module 4 Review Problems
How Am I Doing? Module 4 Test
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Module 5: Operations on Fractional Expressions
5.1: Multiplying and Dividing Fractional Expressions
5.2: Least Common Multiples of Algebraic Expressions
5.3: Adding and Subtracting Fractional Expressions
5.4: Operations with Mixed Numbers
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How Am I Doing? Topics 5.1–5.4
5.5: Order of Operations and Complex Fractions
5.6: Solving Applied Problems Involving Fractions
5.7: The Multiplication Principle of Equality
Module 5 Organizer
Module 5 Review Problems
How Am I Doing? Module 5 Test
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Module 6: Decimals and Percents
6.1: Understanding Decimal Fractions
6.2: Adding and Subtracting Decimal Expressions
6.3: Multiplying and Dividing Decimal Expressions
How Am I Doing? Topics 6.1–6.3
6.4: Estimating with Percents
6.5: Percents
6.6: Solving Percent Problems Using Equations
6.7: Solving Percent Problems Using Proportions
6.8: Solving Applied Problems Involving Percents
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Module 6 Organizer
Module 6 Review Problems
How Am I Doing? Module 6 Test
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Module 7: Measurement and Geometric Figures
7.1: Using Unit Fractions with U.S. and Metric Units
7.2: Converting Between the U.S. and Metric Systems
7.3: Angles
How Am I Doing? Topics 7.1–7.3
7.4: The Circle
7.5: Volume
7.6: Similar Geometric Figures
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Module 7 Review Problems
How Am I Doing? Module 7 Test
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Module 8: Introduction to Polynomials
8.1: Adding and Subtracting Polynomials
8.2: Multiplying Polynomials
How Am I Doing? Topics 8.1–8.2
8.3: Translate from English to Algebra
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8.4: Factoring Using the Greatest Common Factor
Module 8 Organizer
Module 8 Review Problems
How Am I Doing? Module 8 Test
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Module 9: Equations, Inequalities, and Applications
9.1: Addition and Multiplication Principles of Equality
9.2: Using Both Principles of Equality Together
9.3: Solving Equations with Fractions
How Am I Doing? Topics 9.1–9.3
9.4: Formulas
9.5: Using Equations to Solve Word Problems
9.6: Solving Word Problems Involving Money and Percents
9.7: Solving Inequalities in One Variable
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Module 9 Review Problems
How Am I Doing? Module 9 Test
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Module 10: Graphing and Functions
10.1: The Rectangular Coordinate System
10.2: Graphing Linear Equations
10.3: The Slope of a Line
How Am I Doing? Topics 10.1–10.3
10.4: Writing the Equation of a Line
10.5: Graphing Linear Inequalities
10.6: Functions
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Module 10 Review Problems
How Am I Doing? Module 10 Test
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Module 11: Systems of Linear Equations and Inequalities
11.1: Systems of Linear Equations in Two Variables
11.2: Systems of Linear Equations in Three Variables
How Am I Doing? Topics 11.1–11.2
11.3: Applications of Systems of Linear Equations
11.4: Systems of Linear Inequalities
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Module 11 Review Problems
How Am I Doing? Module 11 Test
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Module 12: Exponents and Polynomials
12.1: The Rules of Exponents
12.2: Negative Exponents and Scientific Notation
12.3: Fundamental Polynomial Operations
How Am I Doing? Topics 12.1–12.3
12.4: Multiplying Polynomials
12.5: Multiplication -Special Cases
12.6: Dividing Polynomials
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Module 12 Review Problems
How Am I Doing? Module 12 Test
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Module 13: Factoring
13.1: Removing a Common Factor
13.2: Factoring by Grouping
13.3: Factoring Trinomials When a = 1
13.4: Factoring Trinomials When a ≠ 1
How Am I Doing? Topics 13.1–13.4
13.5: Special Cases of Factoring
13.6: A Brief Review of Factoring
13.7: Solving Quadratic Equations by Factoring
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Module 13 Review Problems
How Am I Doing? Module 13 Test
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Module 14: Rational Expressions and Equations
14.1: Simplifying Rational Expressions
14.2: Multiplying and Dividing Rational Expressions
14.3: Adding and Subtracting Rational Expressions
How Am I Doing? Topics 14.1–14.3
14.4: Simplifying Complex Rational Expressions
14.5: Solving Equations Involving Rational Expressions
14.6: Ratio, Proportion, and Other Applied Problems
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Module 14 Review Problems
How Am I Doing? Module 14 Test
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Module 15: Rational Exponents and Radicals
15.1: Rational Exponents
15.2: Radical Expressions and Functions
15.3: Simplifying, Adding, and Subtracting Radicals
15.4: Multiplying and Dividing Radicals
How Am I Doing? Topics 15.1–15.3
15.5: Radical Equations
15.6: Complex Numbers
15.7: Variation
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Module 15 Review Problems
How Am I Doing? Module 15 Test
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Module 16: Quadratic Equations
16.1: Quadratic Equations
16.2: Solutions to Quadratic Equations-Quadratic Formula
16.3: Solving Equations That Are Quadratic in Form
How Am I Doing? Topics 16.1–16.3
16.4: Formulas and Applications
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Module 16 Review Problems
How Am I Doing? Module 16 Test
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Module 17: The Conic Sections
17.1: The Distance Formula and the Circle
17.2: The Parabola
17.3: The Ellipse
How Am I Doing? Topics 17.1–17.3
17.4: The Hyperbola
17.5: Nonlinear Systems of Equations
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Module 17 Review Problems
How Am I Doing? Module 17 Test
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Module 18: Additional Properties of Functions
18.1: Function Notation
18.2: General Graphing Procedures for Functions
How Am I Doing? Topics 18.1–18.2
18.3: Algebraic Operations on Functions
18.4: Inverse of a Function
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Module 18 Review Problems
How Am I Doing? Module 18 Test
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Module 19: Logarithmic and Exponential Functions
19.1: The Exponential Function
19.2: The Logarithmic Function
19.3: Properties of Logarithms
How Am I Doing? Topics 19.1–19.3
19.4: Common and Natural Logarithms; Change of Base
19.5: Exponential and Logarithmic Equations
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Module 19 Review Problems
How Am I Doing? Module 19 Test
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Module 20: Additional Topics
20.1: Quadratic Functions
20.2: Compound and Quadratic Inequalities
20.3: Absolute Value Equations and Inequalities
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Appendices
Appendix A: Consumer Finance Applications
Appendix B: Introduction to U.S. and Metric Units of Measurement
Appendix C: Additional Arithmetic Practice
Appendix D: Foundations for Intermediate Algebra: A Transition from Beginning to Intermediate Algebra
Appendix E: Determinants and Cramer's Rule
Appendix F: Solving Systems of Linear Equations Using Matrices
Appendix G: Sets