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Algebra 1

By understanding applications, rules and methods, you will attain the basic skills required for solving a wide range of algebraic equations. Establish a solid foundation with Using Substitution, Addition and Subtraction of Linear Equations, and Simultaneous Linear Equations. Enhance comprehension of more sophisticated solutions with Simultaneous Linear Equations with No Solution and Consistent and Inconsistent Equations. Challenge your level of skills with topics such as Introduction to Matrices and Their Dimensions and Identifying Dependent and Independent Systems. Whether you are preparing for Algebra 2 or practicing basic functions, Systems of Linear Equations and Inequalities covers a wide range of concepts, methods and calculations.

- Simultaneous Linear Equations
- Simultaneous Equation Solutions
- Using Substitution
- Substitution in Linear Equations
- Solving for the Second Variable
- Solving and Using Substitution
- Confirming a Solution
- Addition and Subtraction of Linear Equations
- Basic Addition Method of Solving
- Multiplication and Addition Method
- Addition Method with Reordering
- Simultaneous Linear Equations with No Solution
- Simultaneous Linear Equations with Infinite Solutions
- Graphing Multiple Lines
- Graph of Solutions to Simultaneous Equations
- Consistent and Inconsistent Equations
- Identifying Consistent and Inconsistent Equations
- Dependent and Independent Equations
- Identifying Dependent and Independent Systems
- Introduction to Matrices and Their Dimensions
- Adding Matrices
- Subtracting Matrices
- Scalar Multiplication
- Writing Systems of Equations with Augmented Matrices
- An Introduction to Elementary Row Operations
- Using Elementary Row Operations to Solve for Systems of Equations
- Graphing a System of Linear Inequalities
- Solving a System of Linear Inequalites by Graphing
- Systems of Linear Inequalities with No Solution
- Systems of Linear Inequalities in the Real World

Study fundamental topics in college-level algebra with emphasis on application.

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.

The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.