Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 14

Topic

Variable Expressions

Description

This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "Two times a number plus negative eighteen" is translated into the algebraic expression 2x + (-18). This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative numbers and the phrase "times a number."

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 analyze this example step by step. The phrase 'Two times a number' translates directly to 2x. The word 'plus' indicates addition, even when it's followed by a negative number. This is why we write + (-18). Remember, adding a negative number is equivalent to subtracting its positive counterpart. These subtle distinctions in language are key to accurately translating word problems into algebraic expressions."

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