The content and assessments for College Algebra Corequisite are aligned to the following learning outcomes. A full list of course learning outcomes can be viewed here: College Algebra Corequisite Learning Outcomes.

## Module 1: Algebra Essentials

- Review topics needed for success in Algebra Essentials
- Identify types of real numbers and use them in algebraic expressions
- Evaluate expressions involving exponents and perform calculations with numbers in scientific notation
- Simplify radical expressions and solve equations with rational exponents

## Module 2: Polynomial and Rational Expressions

- Review topics needed for success in Polynomial and Rational expressions
- Create and evaluate expressions involving polynomials
- Use a variety of methods to factor polynomial expressions
- Evaluate and simplify rational expressions

## Module 3: The Rectangular Coordinate System and Equations of Lines

- Review topics needed for success in The Rectangular Coordinate System and Equations of Lines
- Plot points and lines on the coordinate plane and calculate distances based on their locations
- Evaluate linear equations

## Module 4: Equations and Inequalities

- Review topics needed for success in Equations and Inequalities
- Solve special types of equations that involve radicals, absolute value, and polynomials
- Write linear equations to model real world scenarios
- Factor to solve quadratic equations and use the quadratic formula
- Use properties of inequalities to solve linear and absolute value inequalities

## Module 5: Function Basics

- Review topics needed for success in Function Basics
- Identify characteristics of common functions and their graphs
- Find the domain and range of a function from its equation or its graph
- Find rates of change of a function and identify behaviors of various graphs

## Module 6: Algebraic Operations on Functions

- Review topics needed for success in Algebraic Operations on Functions
- Create and evaluate compositions of functions
- Graph and evaluate transformations of functions
- Find and evaluate the inverse of a function

## Module 7: Linear and Absolute Value Functions

- Review topics needed for success in Linear and Absolute Value Functions
- Write and interpret a linear function
- Graph, write, and analyze equations of linear functions
- Model problems with linear functions and draw conclusions from those results

## Module 8: Quadratic Functions

- Review topics needed for success in Quadratic Functions
- Make calculations with complex numbers
- Identify characteristics of quadratic functions and their resulting parabolas
- Solve problems involving quadratic roots, intercepts, and maximums/minimums

## Module 9: Power and Polynomial Functions

- Review topics needed for success in Power and Polynomial Functions
- Identify degrees and describe behaviors of polynomial functions
- Create graphs and write equations for polynomial functions
- Use multiple techniques to divide polynomials
- Use multiple methods for finding zeros of polynomial equations

## Module 10: Rational and Radical Functions

- Review topics needed for success in Rational and Radical Functions
- Analyze and graph rational functions
- Evaluate the inverse of polynomial and radical functions
- Solve variation functions

## Module 11: Exponential and Logarithmic Functions

- Review topics needed for success in Exponential and Logarithmic Functions
- Find and evaluate exponential functions
- Graph exponential functions and evaluate the results
- Evaluate logarithms and covert between logarithmic to exponential form
- Graph logarithmic functions and evaluate the results

## Module 12: Exponential and Logarithmic Equations and Models

- Review topics needed for success in Exponential and Logarithmic Equations and Models
- Rewrite logarithmic expressions using a combination of logarithm rules and formulas
- Solve exponential and logarithmic equations both algebraically and graphically
- Graph and solve real world problems involving data that follow logarithmic or exponential growth and decay trends

## Module 13: Systems of Equations and Inequalities

- Review topics needed for success in Systems of Equations and Inequalities
- Solve systems of linear equations with two variables
- Use various techniques to solve systems of nonlinear equations
- Solve equations involving three variables
- Use systems of equations to decompose rational expressions

## Module 14: Solve Systems With Matrices

- Review topics needed for success in Solve Systems With Matrices
- Make calculations with matrices
- Use matrices to solve a system of equations
- Use inverses to solve systems of equations

## Module 15: Conic Sections

- Review topics needed for success in Conic Sections
- Evaluate, graph, and solve problems involving ellipses
- Evaluate, graph, and solve problems involving hyperbolas
- Evaluate, graph, and solve problems involving parabolas

## Module 16: Sequences and Series

- Review of topics needed for success in Sequences and Series
- Identify the terms of a sequence and use factorial notation
- Use formulas to make calculations for an arithmetic sequence or find a term in the sequence
- Use formulas to make calculations for an geometric sequence or find a term in the sequence
- Use summation notation and other formulas to make calculations for a series

## Module 17: Probability and Counting Principles

- Review of topics needed for success in Probability and Counting Principles
- Use counting principles to solve real world scenarios
- Construct probability models and compute probability to solve problems