Question

If 2h=81^2−19^2, then find the value of h.

Answer 1

2h = 81^2 - 19^2

2h = 6561 - 361

2h = 6200

h = 6200/2

h = 3100

Answer 2

h = 3100

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Explanation:

Step 1: Define

2h = 81² - 19²

Step 2: Solve for h

1. Evaluate exponents: 2h = 6561 - 361
2. Subtract: 2h = 6200
3. [Division Property of Equality] Divide 2 on both sides: h = 3100