📚 View Lesson Summary & Study Guide
Main Learning Objective:
Solve single-variable linear equations with variable terms on both sides of the equal sign using algebraic properties and efficient step-by-step operations.
Key Takeaways:
- Combine like terms on each side of the equal sign separately before moving terms across the equals sign.
- Use the Addition Property of Equality to create zero pairs and isolate variable terms on one side.
- Reciprocals keep the sign of the original number (a negative number has a negative reciprocal).
- Dividing both sides by the coefficient is a shortcut for whole numbers, while multiplying by the reciprocal is preferred when working with fractions.
- Different sequences of balancing steps can be used to solve the same equation without altering the final result.