College Algebra notes

1. Evaluating and Simplifying Expressions

   • Includes exponential and logarithmic expressions.

2. Performing Arithmetic

   • Focuses on polynomials, rational expressions, exponential and logarithmic functions, including function composition.

3. Solving Equations

   • Types of equations:
     3.1 Linear
     3.2 Quadratic
     3.3 Exponential
     3.4 Simple logarithmic
     3.5 Polynomial (degree greater than two)
   • Linear inequalities.

4. Solving Systems of Linear Equations

   • Involves two variables and two equations.

5. Graphing

   • Includes graphing two-variable equations such as lines and parabolas.

6. Evaluating Functions

   • Focuses on exponential and logarithmic functions.

7. Calculating Key Values

   • Slope of a line given its equation or two points on the line.
   • Equation of a line given two points.
   • Domain and range of a relation.
   • Determining if a given relation is a function.
   • The 6 trigonometric values of an angle given two sides of a triangle.

8. Translating Real-World Scenarios

   • Converting real-world problems into basic equation forms and solving them.

Skills:

• Complete in-class testing with a calculator and formulas provided by instructor.
• Articulate processes and logic used in problem-solving using correct mathematical terminology.
• Employ proper methods for solving or graphing equations by recognizing forms without type being explicitly described.
• Recall skills and knowledge verbally or in writing promptly without same-day review.