Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 20

Topic

Variable Expressions

Description

This example illustrates the conversion of the verbal statement "Take away negative thirteen times a number from five" into the variable expression 5 - (-13x), which simplifies to 13x + 5. It demonstrates how to interpret phrases like "take away" and "times" when dealing with negative numbers, and translate them into algebraic operations, using x to represent "a number".

Variable expressions are a key concept in algebra, bridging the gap between everyday language and mathematical notation. This collection of examples guides students through the process of recognizing key phrases that indicate specific operations and translating them into symbolic form. By working through these examples, students develop crucial skills in mathematical interpretation and communication.

Exposure to multiple examples is essential for students to fully grasp the concept of variable expressions. Each example presents a slightly different scenario, helping students to recognize patterns and develop flexibility in their approach to translation. This repeated practice builds confidence and proficiency in a skill that is fundamental to more advanced algebraic concepts.

Teacher Script: Great job on this challenging example! Notice how "take away negative thirteen times a number" translates to subtracting -13x. We're doing this operation from five, which gives us 5 - (-13x). Can you explain why this simplifies to 13x + 5? Remember, subtracting a negative is the same as adding a positive. Try creating your own word problem that would result in this expression. This practice will help you see the connection between math and everyday situations!

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