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The Set of Real Numbers | |
Fractions | |
Sets of Numbers and the Real Number Line | |
Exponents, Square Roots, and the Order of Operations | |
Addition of Real Numbers | |
Subtraction of Real Numbers | |
Problem Recognition Exercises: Addition and Subtraction of Real Numbers | |
Multiplication and Division of Real Numbers | |
Problem Recognition Exercises: Adding, Subtracting, Multiplying, and Dividing Real Numbers | |
Properties of Real Numbers and Simplifying Expressions | |
Group Activity: Evaluating Formulas Using a Calculator | |
Summary | |
Review Exercises | |
Test | |
Linear Equations and Inequalities | |
Addition, Subtraction, Multiplication, and Division Properties of Equality | |
Solving Linear Equations | |
Linear Equations: Clearing Fractions and Decimals | |
Problem Recognition Exercises: Equations and Expressions | |
Applications of Linear Equations: Introduction to Problem Solving | |
Applications Involving Percents | |
Formulas and Applications of Geometry | |
Mixture Applications and Uniform Motion | |
Linear Inequalities | |
Group Activity: Computing Body Mass Index (BMI) | |
Summary | |
Review Exercises | |
Test | |
Cumulative Review Exercises | |
Graphing Linear Equations in Two Variables | |
Rectangular Coordinate System | |
Linear Equations in Two Variables | |
Slope of a Line and Rate of Change | |
Slope-Intercept Form of a Line | |
Problem Recognition Exercises: Linear Equations in Two Variables | |
Point-Slope Formula | |
Applications of Linear Equations and Modeling | |
Group Activity: Modeling a Linear Equation | |
Summary | |
Review Exercises | |
Test | |
Cumulative Review Exercises | |
Systems of Linear Equations | |
Solving Systems of Equations by the Graphing Method | |
Solving Systems of Equations by the Substitution Method | |
Solving Systems of Equations by the Addition Method | |
Problem Recognition Exercises: Systems of Equations | |
Applications of Linear Equations in Two Variables | |
Linear Inequalities in Two Variables and Systems of Linear Inequalities in Two | |
Variables | |
Group Activity: Creating Linear Models from Data | |
Summary | |
Review Exercises | |
Test | |
Cumulative Review Exercises | |
Polynomials and Properties of Exponents | |
Exponents: Multiplying and Dividing Common Bases | |
More Properties of Exponents | |
Definitions of and | |
Scientific Notation | |
Problem Recognition Exercises: Properties of Exponents | |
Addition and Subtraction of Polynomials | |
Multiplication of Polynomials and Special Products | |
Division of Polynomials | |
Problem Recognition Exercises: Operations on Polynomials | |
Group Activity: The Pythagorean Theorem and a Geometric “Proof” | |
Summary | |
Review Exercises | |
Test | |
Cumulative Review Exercises | |
Factoring Polynomials | |
Greatest Common Factor and Factoring by Grouping | |
Factoring Trinomials of the Form | |
Factoring Trinomials: Trial-and-Error Method | |
Factoring Trinomials: -Method | |
Difference of Squares and Perfect Square Trinomials | |
Sum and Difference of Cubes | |
Problem Recognition Exercises: Factoring Strategy | |
Solving Equations Using the Zero Product Rule | |
Problem Recognition Exercises: Polynomial Expressions and Polynomial Equations | |
Applications of Quadratic Equations | |
Group Activity: Building a Factoring Test | |
Summary | |
Review Exercises | |
Test | |
Cumulative Review Exercises | |
Rational Expressions | |
Introduction to Rational Expressions | |
Multiplication and Division of Rational Expressions | |
Least Common Denominator | |
Addition and Subtraction of Rational Expressions | |
Problem Recognition Exercises: Operations on Rational Expressions | |
Complex Fractions | |
Rational Equations | |
Problem Recognition Exercises: Comparing Rational Equations and Rational Expressions | |
Applications of Rational Equations and Proportions | |
Variation | |
Group Activity: Computing Monthly Mortgage Payments | |
Summary | |
Review Exercises | |
Test | |
Cumulative Review Exercises | |
Radicals | |
Introduction to Roots and Radicals | |
Simplifying Radicals | |
Addition and Subtraction of Radicals | |
Multiplication of Radicals | |
Division of Radicals and Rationalization | |
Problem Recognition Exercises: Operations on Radicals | |
Radical Equations | |
Rational Exponents | |
Group Activity: Approximating Square Roots | |
Summary | |
Review Exercises | |
Test | |
Cumulative Review Exercises | |
Quadratic Equations, Complex Numbers, and Functions | |
The Square Root Property | |
Completing the Square | |
Quadratic Formula | |
Problem Recognition Exercises: Solving Different Types of Equations | |
Complex Numbers | |
Graphing Quadratic Equations | |
Introduction to Functions | |
Group Activity: Maximizing Volume | |
Summary | |
Review Exercises | |
Test | |
Cumulative Review Exercises | |
Appendix | |
Decimals and Percents | |
Mean, Median, and Mode | |
Introduction to Geometry | |
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