Foundations of College Algebra

Lessons

A Note about Formatting

• The MS Word version of each lesson handout is the best for people with visual impairments. The Microsoft Word “Read Out Loud” feature provides the most correct reading of mathematics.
• The PDF version is best for printing. It has the cleanest format. It is not fully ADA compliant, so please be careful.

Lesson List

1. Review of Arithmetic, Introduction to Fractions, Prime factorization
2. Simplifying, Multiplying, and Dividing Fractions
3. Adding and Subtracting Fractions
4. Conclusion of Fractions, Introduction to Decimals
5. Operations with Decimals
6. Ratios, Proportions, and Percentage
7. Exam 1
8. Using Percentages
9. Geometry Formulas
10. Pythagorean Theorem, Sets of Numbers, Variables
11. Operations with Signed Numbers
12. Algebra Introduction
13. Rules for Solving Equations
14. Exam 2
15. Solving Linear Equations
16. Problem Solving and Formulas
17. Linear Inequalities, The Coordinate Plane
18. Graphing Linear Equations, Intercepts
19. Slope, Rates of Change, Equations of Lines
1. Worksheet - PDF - Word
20. Functions and Exponents
1. Worksheet - PDF - Word
21. Exam 3
22. Introduction to Polynomials, Adding and Subtracting Polynomials
23. Multiplying Polynomials
24. Greatest Common Factor and Factoring by Grouping
1. Worksheet - PDF - Word
25. Factoring Trinomials of the Form x^2+bx+c
1. Worksheet - PDF - Word
26. Factoring Trinomials of the form ax^2+bx+c
1. Worksheet - PDF - Word
27. Special Factoring, Solving Quadratic Equations by Factoring
28. Additional Topics in Algebra
29. Exam 4
30. Review

Teaching Resources

• Course Schedule - 16-Week Face-to-Face
• Course Schedule - 12-Week Online
• Video List - Videos for Foundations of College Algebra

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.