Fundamentals of College Algebra

The following is an outline of the content areas covered in the examination. The approximate percentage of the examination devoted to each content area is also noted.

I. Fundamental Algebraic Operations – 20%

1. Operations with algebraic expressions
2. Operations with polynomials (including factoring and expanding polynomials)
3. Rational expressions
4. Operations with positive, negative and fractional exponents

II. Complex Numbers – 4%

1. Conjugate
2. Basic Operations

III. Equations and Inequalities – 44%

1. Linear equations and inequalities
2. Quadratic equations and inequalities (including quadratic forms and solving quadratic inequalities)
3. Absolute value equations and inequalities
4. Systems of linear equations and inequalities
5. Exponential and logarithmic equations
6. Equations involving radicals

IV. Properties of Functions and their Graphs – 32%

1. Coordinate systems
2. Domain and range
3. Operations of functions
4. Inverse functions
5. Linear functions
6. Quadratic functions
7. Polynomial functions
8. Rational functions
9. Exponential and logarithmic functions