Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 31

Topic

Variable Expressions

Description

This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "The sum of negative twenty and negative nineteen times more than a number" is translated into the algebraic expression -20 + (-19x) or -19x + (-20). This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients and the phrase "times more than."

Variable expressions are essential in algebra as they allow 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: "Let's break down this example together. The phrase 'negative nineteen times more than a number' translates to -19x. The word 'sum' indicates addition, so we add this to -20. Notice that we can write this expression in two equivalent forms: -20 + (-19x) or -19x + (-20). This flexibility demonstrates the commutative property of addition. Remember, working with multiple negative terms requires careful attention to signs."

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