Algebraic Foundations
Watch this interactive video to see step-by-step examples of solving linear equations and simplifying expressions.
Launch Full VideoUnderstanding Algebra
Basic Principles
Algebra uses variables (usually x or y) to represent unknown numbers. The goal is to isolate variables to find their values.
- Use inverse operations to isolate variables
3x + 4 = 10becomesx = 2after steps- Check solutions by substituting back into original equation
Simplification Rules
Combine like terms and use distributive property to make expressions simpler.
Example:
3(x + 2) = 3x + 6
2x + 4x = 6x
Apply What You've Learned
Problem 1
Solve for x:
2x + 3 = 11
Problem 2
Simplify:
3(2x - 4) + 5x
Algebraic Visualizer
Equation Explorer
Equation: ax + b = c
Step-by-Step Solution: