Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 24

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 sixteen and negative twenty times a number" is translated into the algebraic expression -20x + 16. This example helps students understand how to interpret mathematical language and represent it symbolically, particularly when dealing with negative coefficients 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 'negative twenty times a number' translates to -20x. The words 'A total of' indicate addition, so we add this to 16. Notice how we've written the expression with the variable term first, followed by the constant term. This standard form is often preferred in algebra. Remember, the order of terms doesn't change the value of the expression due to the commutative property of addition."

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