📚 Topic Summary
The Addition and Subtraction Property of Equality states that you can add or subtract the same number to both sides of an equation without changing the equation's solution. This is super useful for isolating variables and solving for their values. Think of it like keeping a scale balanced; if you add or remove weight from one side, you must do the same on the other to maintain balance.
🔤 Part A: Vocabulary
Match each term with its definition:
| Term |
Definition |
| 1. Equation |
a. A letter representing an unknown number |
| 2. Variable |
b. The value(s) that make an equation true |
| 3. Solution |
c. A statement that two expressions are equal |
| 4. Addition Property of Equality |
d. If you add the same number to both sides of an equation, the equation remains true. |
| 5. Subtraction Property of Equality |
e. If you subtract the same number from both sides of an equation, the equation remains true. |
✍️ Part B: Fill in the Blanks
The Addition and Subtraction Property of _________ is a fundamental concept in algebra. It allows us to _________ equations by adding or subtracting the same value to both _________. This helps us isolate the _________ and find its _________.
🤔 Part C: Critical Thinking
Explain in your own words why the Addition and Subtraction Property of Equality is important for solving algebraic equations. Give an example of how you might use this property in a real-world scenario.
