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Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 13

Math Example: Language of Math--Variable Expressions--Multiplication and Addition--Example 13

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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 "Fifteen multiplied by a number increased by negative eighteen" is translated into the algebraic expression 15x + (-18). This example helps students understand how to interpret mathematical language and represent it symbolically, especially when dealing with negative numbers and the phrase "increased by."

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 'Fifteen multiplied by a number' becomes 15x. The phrase 'increased by' indicates addition, even when followed by a negative number. This is why we add (-18) to 15x. Remember, adding a negative number is the same as subtracting its positive counterpart. These nuances in language are crucial for 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.

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