Math Example: Language of Math--Variable Expressions--Multiplication and Subtraction--Example 8

Topic

Variable Expressions

Description

This example illustrates the conversion of the verbal statement "Take away six times a number from ten" into the variable expression 10 - 6x, which can be rewritten as -6x + 10. It demonstrates how to interpret phrases like "take away" and "times" 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 tackling this example! Notice how "take away" indicates subtraction, but the order matters. We're taking 6x away from 10, not the other way around. Can you explain why both 10 - 6x and -6x + 10 are correct? Keep practicing with different phrasings, and you'll soon be able to translate any sentence into a mathematical expression with ease!

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