Medium Level
Algebra
Advance your algebraic skills with more complex problems and applications.
What You'll Learn
Word Problems
Translate real-world scenarios into algebraic equations and solve them.
Absolute Value
Work with absolute value equations and inequalities.
Function Notation
Evaluate and manipulate functions using proper notation.
Linear Modeling
Create and interpret linear models from data and scenarios.
Key Concepts
- •Multi-Step Equations: Solve equations requiring multiple operations
- •Compound Inequalities: Work with inequalities joined by "and" or "or"
- •Rate Problems: Distance = rate × time and related applications
- •Mixture Problems: Combining quantities with different characteristics
- •Function Operations: Add, subtract, multiply, and divide functions
Example Problem
A car rental company charges $40 per day plus $0.25 per mile. If Sarah's total bill was $85, how many miles did she drive?
Solution:
Let m = number of miles driven
40 + 0.25m = 85
0.25m = 45 (subtract 40 from both sides)
m = 180 miles (divide both sides by 0.25)
Study Tips
- ✓Define variables clearly when setting up word problems
- ✓Look for keywords in word problems (e.g., "total," "difference," "per")
- ✓When solving absolute value equations, consider both positive and negative cases
- ✓Verify your answer makes sense in the context of the problem
Start Practicing
Ready to test your skills? Choose how you want to study: