# MATH 71 - Intermediate Algebra

The following are the Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs) for MATH 71. A Student Learning Outcome is a measurable outcome statement about what a student will think, know, or be able to do as a result of an educational experience. Course Measurable Objectives focus more on course content, and can be considered to be smaller pieces that build up to the SLOs.

**Student Learning Outcomes (SLOs)**

- Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
- Students will be able to graph a wide variety of functions and conic sections.

**Course Measurable Objectives (CMOs)**

- Solve the following types of equations in one variable: polynomial, absolute value, rational, radical, exponential, and logarithmic.
- Solve applications using equations in one variable.
- Use the square root property, completing the square, quadratic formula, and factoring methods to solve quadratic equations and others that are quadratic in form.
- Solve applications involving the quadratic equations.
- Solve literal equations.
- Define a function and its domain and range.
- Find the domain of a function involving rational or radical expressions.
- Perform operations on functions.
- Solve polynomial and rational inequalities.
- Solve compound inequalities.
- Solve non-linear systems in two variables.
- Solve linear systems in two and three variables.
- Solve applications using linear systems.
- Construct, interpret and analyze graphs for the following: linear and quadratic equations, conic sections, linear inequalities, exponential and logarithmic functions, and both linear and non-linear systems.
- Find the equation of a line given facts about the line.
- Use the rules for exponents to simplify expressions.
- Add, subtract, multiply, divide, and factor polynomials.
- Simplify and perform operations on rational expressions.
- Simplify complex fractions.
- Evaluate and perform operations on radical terms, expressions containing rational exponents, and complex numbers.
- Rationalize denominators.
- Evaluate and perform operations on exponential and logarithmic functions.
- Find the inverse of a function.
- Find the values of a sequence.
- Evaluate series.
- Apply the binomial theorem.