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

Topic

Variable Expressions

Description

This example illustrates the process of converting a verbal statement into a variable expression using multiplication and addition. The statement "A total of eighteen and two times a number" is translated into the algebraic expressions 18 + 2x or 2x + 18. This example helps students understand how to interpret mathematical language and represent it symbolically, while also demonstrating the commutative property of addition.

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: "As you study this example, notice how the phrase 'A total of' indicates addition, while 'times a number' represents multiplication by a variable. Also, observe that the order of terms can be changed without altering the meaning of the expression, demonstrating the commutative property of addition. Understanding these concepts is crucial for mastering 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.