The UAM Algebra Connection

Introduction to Algebra / Lecture Notes

• 1.1 Real numbers and their graphs
• 1.2 Fractions
• 1.3 Exponents and order of operations
• 1.4 Adding and subtracting real numbers
• 1.5 Multiplying and dividing real numbers
• 1.6 Algebraic expressions
• 1.7 Properties of real numbers
• 2.1 Solving basic equations
• 2.2 Solving more equations
• 2.3 Simplifying expressions to solve equations
• 2.4 Introduction to problem solving
• 2.5 Motion and mixture problems
• 2.6 Formulas
• 2.7 Solving inequalities
• 3.1 The rectangular coordinate system
• 3.2 Graphing linear equations
• 3.3 Slope of a nonvertical line
• 3.4 Point-slope form
• 3.5 Slope-intercept form
• 4.1 Natural-number exponents
• 4.2 Zero and negative-integer exponents
• 4.3 Scientific notation
• 4.4 Polynomials
• 4.5 Adding and subtracting polynomials
• 4.6 Multiplying Polynomials
• 6.7 Ratios
• 6.8 Proportions and similar triangles