Linear Equations

Build a solid foundation in algebra through hands-on exploration of expressions and equations.

59 Lessons769 Exercises

Variables

Finding Unknown Values

Combining and Coefficients

Writing Expressions

Level Check

Dividing to Solve

Solving in Two Steps

Equation Solving Moves

Dividing First

Multiple Steps

Level Check

Solutions to Inequalities

Graphing Solutions

Reading Inequalities

Finding the Boundary

Solving Inequalities

Combining Terms

Combining to Solve

Variables on Both Sides

Solving Equations

Negative Values

Missing Values and Negatives

Negative Constants

Negative Coefficients

More Missing Values

Negative Solutions

Subtraction and Negative Coefficients

Rewriting -x

Combining Negatives

Testing Values in Inequalities

Dividing by a Negative Value

Graphing Solutions

Solving Inequalities

Multiples

Distributing

Distributing with Negatives

Distributing to Solve

Distribute or Divide

More Distributing to Solve

Combining Groups

Factoring Constants

Factoring and Distributing

Greatest Common Factor

Factoring to Solve

No Solutions

Many Solutions

Identifying Solutions

Reciprocals

Same Denominator

Different Denominators

Eliminating Denominators

Fractions Outside and Inside

Adding Percentages

Subtracting Percentages

Two Discounts

Comparing Deals

Multiple Inequalities

Writing Compound Inequalities

Either Inequality

Combining Graphs

Solving Compound Inequalities

Course description

Continue your algebra journey with a visual, intuitive approach to expressions and equations. Using interactive diagrams like algebra tiles and invoices, you'll represent situations with variables and equations. This course starts with the basics: understanding what a variable represents, evaluating expressions, and combining like terms. From there, you'll learn to solve equations step by step, building from simple one-operation problems to multi-step equations. Along the way, you'll develop strategies for working with negative values in expressions and equations. By the end of this course, you'll be able to translate real-world situations into algebraic expressions, solve linear equations confidently, and understand the reasoning behind each step—setting you up for success in more advanced algebra.

Topics covered

  • Variables
  • Evaluating Expressions
  • Combining Like Terms
  • Writing Expressions
  • Solving Linear Equations
  • Inverse Operations
  • Negative Constants and Coefficients