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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 28

Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 28

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Topic

Variable Expressions

Description

This example demonstrates how to convert a verbal statement into a variable expression using multiplication and addition. The statement "A total of negative nineteen and negative eight times a number" is translated into the algebraic expression -8x + (-19). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative coefficients and negative constants.

Variable expressions are fundamental in algebra, allowing 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 we examine this example, notice how 'negative eight times a number' becomes -8x. The phrase 'A total of' indicates addition, so we add this to -19. Pay attention to how we handle multiple negative terms in the expression. This understanding is crucial when working with more complex algebraic expressions involving negative numbers."

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

Common Core Standards CCSS.MATH.CONTENT.5.OA.A.2, CCSS.MATH.CONTENT.6.EE.A.2
Grade Range 6 - 8
Curriculum Nodes Algebra
    • The Language of Math
        • Numerical Expressions
Copyright Year 2016
Keywords variable expressions, multiplication and addition