Algebra I #3.11d, Solve word problems for Consecutive integers

Main Learning Objective:
Formulate and solve algebraic equations for word problems involving regular, odd, and even consecutive integers using dependent variables and properties of equality.

Key Takeaways:

• Regular consecutive integers increase by 1 (e.g., x, x + 1, x + 2).
• Consecutive odd or even integers increase by 2 (e.g., x, x + 2, x + 4) because both odd and even sequences skip-count by 2.
• Solving word problems with consecutive integers involves setting up an equation, combining like terms, using zero pairs via the Addition Property of Equality, and dividing by coefficients.
• Subsequent consecutive integers are dependent variables because their values are found by substituting the calculated value of the first variable into their respective expressions.