R. Prealgebra Review

R.1 Factors and the Least Common Multiple

R.2 Fractions

R.3 Decimals

1. Real Numbers and Introduction to Algebra

1.1 Study Skill Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Exponents, Order of Operations, and Varible Expressions

1.4 Adding Real Numbers

1.5 Subtracting Real Numbers

1.6 Multiplying and Dividing Real Numberes

1.7 Properties of Real Numbers

1.8 Simplifying Expressions

2. Equations, Inequalities, and Problem Solving

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 Further Solving Linear Equations

2.4 An Introduction to Problem Solving

2.5 Formulas and Problem Solving

2.6 Percent and Mixture Problem Solving

2.7 Linear Inequalities and Problem Solving

3. Exponents and Polynomials

3.1 Exponents

3.2 Negative Exponents and Scientific Notation

3.3 Introduction to Polynomials

3.4 Adding and Subtracting Polynomials

3.5 Multiplying Polynomials

3.6 Special Products

3.7 Dividing Polynomials

4. Factoring Polynomials

4.1 The Greatest Common Factor and Factoring by Grouping

4.2 Factoring Trinomials in the Form x^2 + bx + c

4.3 Factoring Trinomials in the Form ax^2 + bx + c

4.4 Factoring Trinomials of the Form ax^2 + bx + c by Grouping

4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares

4.6 Solving Quadratic Equations by Factoring

4.7 Quadratic Equations and Problem Solving

5. Rational Expressions

5.1 Simplifying Rational Expressions

5.2 Multiplying and Dividing Rational Expressions

5.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator

5.4 Adding and Subtracting Rational Expressions with Different Denominators

5.5 Solving Equations Containing Rational Expressions

5.6 Proportions and Problem Solving with Rational Equations

5.7 Simplifying Complex Fractions

6. Graphing Equations and Inequalities

6.1 Reading Graphs and the Rectangular Coordinate System

6.2 Graphing Linear Equations

6.3 Intercepts

6.4 Slope and Rate of Change

6.5 Equation of Line

6.6 Introduction to Functions

6.7 Graphing Linear Inequalities in Two Variables

6.8 Direct and Inverse Variation

7. Systems of Equations

7.1 Solving Systems of Linear Equations by Graphing

7.2 Solving Systems of Linear Equations by Substitution

7.3 Solving Systems of Linear Equations by Addition

7.4 Systems of Linear Equations and Problem Solving

8. Roots and Radicals

8.1 Introduction to Radicals

8. 2 Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Multiplying and Dividing Radicals

8.5 Solving Equations Containing Radicals

8.6 Radical Equations and Problem Solving

9. Quadratic Equations

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by the Quadratic Formula

Appendices

Appendix A: Factoring Sums and Differences of Cubes

Appendix B: Mean, Median, and Mode

Appendix C: Sets

Appendix D: Review of Angles, Lines, and Special Triangles

Appendix E: Tables

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