Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 32

Topic

Variable Expressions

Description

This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "A total of negative fourteen and negative twenty times a number" is translated into the algebraic expression -14 + (-20x) or -20x + (-14). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants.

Variable expressions are fundamental in algebra, allowing students to translate real-world situations into mathematical language. This collection of examples reinforces these concepts by presenting various scenarios where variable expressions can be effectively used, helping students develop their algebraic thinking skills.

Exposure to multiple worked-out examples is crucial for students to fully grasp mathematical concepts. Each example provides a unique perspective, reinforcing the underlying principles and ensuring a comprehensive understanding of variable expressions in different contexts.

Teacher Script: "As we examine this example, notice how 'negative twenty times a number' becomes -20x. The phrase 'A total of' indicates addition, so we add this to -14. Pay attention to how we can write this expression in two equivalent forms: -14 + (-20x) or -20x + (-14). This demonstrates the commutative property of addition. Understanding how to work with multiple negative terms and rearrange expressions is crucial when dealing with more complex algebraic problems."

For a complete collection of math examples related to Variable Expressions click on this link: Math Examples: Variable Expressions: Multiplication and Addition Collection.