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Class Notes

Course Introduction

Section 1.2: The Mad Mad World of Real Numbers.

Section 1.3: When Fractions Kiss and Get Married

Section 1.4: Real Number Addition and Subtraction

Section 1.5: Real Number Multiplication and Division

Section 1.6: Exponents and Order of Operations

Section 1.7: Using Variables and Formulas

Section 2.1: Linear Equations and Patterns

Section 2.2: Function Notation and Linear Functions

Section 2.3: Graphs of Linear Equations

Section 2.4: Solving Linear Equations (Round 1)

Section 2.5: Solving Linear Equations (Round 2)

Section 2.6: Calculating Intercepts and Rearranging Formulas

Section 2.7: Proportions and Direct Variation

Section 2.8: Applications of Linear Equations

Exam 1 Review

Section 3.1: Slope of a Line and Applications of Slope

Section 3.2: Special Forms of Linear Equations in Two Variables

Section 3.3: Solving Systems Graphically and Numerically

Section 3.4: Solving Systems by Substitution

Section 3.5: Solving Systems by Elimination

Section 3.6: Applications of Systems of Linear Equations

Section 4.1: Solving Linear Inequalities (Round 1)

Section 4.2: Solving Linear Inequalities (Round 2)

Section 4.3: Solving Compound Inequalities

Section 4.4: Absolute Value Equation and Inequalities

Section 4.5: Solving Linear Systems of Inequalities

Exam 2 Review

Section 5.1:The Product and Power Rules for Exponents

Section 5.2: Quotient Rule and Zero Exponents

Section 5.3: Negative Exponents and Scientific Notation

Section 5.4: Adding and Subtracting Polynomials

Section 5.5: Multiplying Polynomials

Section 5.6: Special Products of Binomials

Section 5.7: Dividing Polynomials

Section 6.1: Factoring Polynomials

Section 6.2: Factoring Trinomials of the Form x2+bx+c

Section 6.3: Factoring Trinomials of the Form ax2+bx+c

Section 6.4: Factoring Special Forms

Section 6.5: Factoring by Grouping and a General Strategy for Factoring Polynomials

Section 6.6: Solving Equations by Factoring

Section 7.1: Extracting and Simplifying Roots

Section 7.2: Solving Quadratic Equations by Completing the Square

Section 7.3: Solving Quadratic Equations by The Quadratic Formula

Section 7.4: Applications of Quadratic Equations