MATH 0250 - Intermediate Algebra

1. Factor polynomials completely, including sum and difference of cubes and using a substitution.
2. Perform addition, subtraction, and multiplication on complex numbers.
3. Translate applied problems in one or two variables and provide a solution through algebraic manipulation.
4. Identify a function and its domain and range.
5. Evaluate expressions involving function notation.
6. Given a simple one-to-one function, find its corresponding inverse function.
7. Solve linear and absolute value equations and inequalities.
8. Graph linear functions and vertical lines.
9. Write the equation of a line satisfying given conditions involving ordered pairs and/or slope.
10. Solve a system of linear equations in two variables by substitution, elimination and graphing, including applications.
11. Perform horizontal and vertical translations of parent functions.
12. Perform basic operations on polynomials and rational expressions expressing the answer in simplified form (omit long division of polynomials).
13. Solve quadratic equations with real and complex roots (including those quadratic in form) using factoring, the quadratic formula, the square root method, and completing the square.
14. Solve quadratic equations that have complex roots.
15. Solve quadratic inequalities.
16. Graph a quadratic function, identifying the line of symmetry, vertex, and intercepts.
17. Solve rational equations.
18. Solve radical equations.
19. Simplify expressions containing radicals or rational exponents.
20. Simplify complex rational expressions.
21. Solve simple exponential equations.
22. Use properties of logarithms.
23. Solve simple logarithmic equations.
24. Use a calculator to perform basic operations and find powers, roots, and logarithmic values.
25. Utilize the Pythagorean Theorem in problem solving.
26. Utilize simple right triangle trigonometry (sine, cosine, tangent) in problem solving.

1. Operations with polynomials
2. Rational expressions and equations
3. Introduction to functions
4. Graphing linear functions
5. Equation of a line
6. Linear functions
7. Quadratic equations
8. Exponential equations
9. Radical expressions and equations
10. Rational exponents
11. Linear inequalities
12. Pythagorean theorem
13. Inverse function
14. Logarithmic equations
15. Complex numbers
16. Simplify complex rational expressions
17. Right triangle trigonometry

1. The student should contact an instructor currently teaching or scheduled to teach the desired course.
2. The instructor will provide and schedule an exam date.
3. The student is to bring the Credit by Exam form to the scheduled exam.
4. The faculty member will notify the student and Records office of the results.