Chris Sears

Foundations of College Algebra

Schedule

Lesson List

KCTCS Competencies

Upon completion of this course, the student can:

  1. Perform operations on integers and decimals.
  2. Find the prime factorization and least common multiple of whole numbers.
  3. Add, subtract, multiply, divide, and simplify fractions.
  4. Simplify ratios and rates, and solve application problems involving proportions.
  5. Convert between decimals and percents, and calculate percent change.
  6. Simplify radicals and find decimal approximations.
  7. Apply common units for length, area, volume, time, currency, or speed.
  8. Simplify numeric expressions using the order of operations.
  9. Simplify algebraic expressions.
  10. Solve linear equations in one variable.
  11. Solve a formula for a given variable.
  12. Solve linear inequalities in one variable. Write the solution set, including compound inequalities, in interval notation and set builder notation.
  13. Identify and plot points in the Cartesian coordinate system.
  14. Find the slope of a line.
  15. Graph lines using a table of solutions, slope-intercept form, and intercepts.
  16. Add, subtract, and multiply polynomials.
  17. Factor polynomials by factoring common factors, grouping, and special products; and factor general trinomials.
  18. Simplify rational expressions.
  19. Solve quadratic equations by factoring.
  20. Identify and evaluate linear, polynomial, rational, and exponential functions.
  21. Solve application problems based on the above competencies.