Algebra I #3.11c, Writing equations for Consecutive integers

Main Learning Objective:
Understand how to write and simplify algebraic expressions and equations for consecutive integers, consecutive odd integers, and consecutive even integers.

Key Takeaways:

• Consecutive integers increase or decrease by 1 (x, x + 1, x + 2 or x – 1, x – 2).
• Both consecutive odd and consecutive even integers increase or decrease by 2 (x, x + 2, x + 4 or x – 2, x – 4).
• Expressions representing consecutive integers can be simplified by combining like terms (e.g., x + (x + 1) + (x + 2) = 3x + 3).
• Word phrases describing operations on consecutive integers can be translated directly into single-variable algebraic equations.