Equations
Solve one-step to multi-step equations
lessons (8)
Solving One-Step Equations
Learn to solve equations that require just one operation to find the unknown value.
Literal Equations
Learn how to solve equations for a specific variable when multiple variables are involved.
Solving Two-Step Equations
Learn how to solve equations that require two operations to isolate the variable.
Solving Multi-Step Equations
Learn to solve equations that require multiple operations using inverse operations and the properties of equality.
Equations with Fractions
Learn to solve equations that contain fractions by clearing denominators and using inverse operations.
Equations with Decimals
Learn to solve linear equations that contain decimal numbers using multiplication strategies.
Equations with Variables on Both Sides
Learn how to solve equations where the variable appears on both sides of the equals sign.
Equation Word Problems
Learn to translate real-world situations into algebraic equations and solve them step by step.
Algebraic equations are the foundation of mathematical problem-solving. An equation states that two expressions are equal, and solving it means finding the value(s) that make this statement true. From simple one-step equations to complex multi-variable systems, equation-solving skills are essential for science, engineering, and everyday problem-solving.
In this topic, you will learn systematic methods for isolating variables and solving equations. You will master techniques like combining like terms, using inverse operations, and checking your solutions. Each concept builds logically on the previous one, creating a solid foundation for advanced mathematics.
Our interactive lessons use real-world contexts—from calculating distances to balancing budgets—to make abstract concepts concrete. With step-by-step guidance and immediate feedback, you will develop both procedural fluency and conceptual understanding of algebraic equations.
What Students Will Learn
- Solve one-step and two-step equations
- Apply inverse operations to isolate variables
- Solve equations with variables on both sides
- Work with equations containing fractions and decimals
- Translate word problems into algebraic equations
- Check solutions by substitution
- Understand and apply the properties of equality
Frequently Asked Questions
What is the difference between an expression and an equation?
An expression is a mathematical phrase combining numbers, variables, and operations (like 3x + 5). An equation has an equals sign, stating that two expressions are equal (like 3x + 5 = 14).
Why do we do the same thing to both sides?
The equals sign means both sides have the same value. To maintain this equality, any operation performed on one side must be performed on the other. This is the Equality Principle.
How do I check if my answer is correct?
Substitute your answer back into the original equation. If both sides are equal, your solution is correct. Always check your work this way.