Two Column Proof for Solving 25 + 5(4

Math Problem Statement

25 + 5(4 - x) = 5 Two column proof

Solution

A two-column proof provides a clear, organized structure to show how each step follows logically from the previous one using definitions, properties, or theorems. Here's the two-column proof for solving the equation $25 + 5(4 - x) = 5$ :

Steps	Reasons
1. $25 + 5(4 - x) = 5$	Given
2. $25 + 20 - 5x = 5$	Distribute the 5 across $4 - x$
3. $45 - 5x = 5$	Combine like terms: $25 + 20 = 45$
4. $-5x = 5 - 45$	Subtract 45

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Distributive property
Combining like terms

Theorems

Suitable Grade Level

Grades 7-9

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