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Understanding Variables and Expressions in Mathematics

This document discusses the foundational concepts of variables and expressions in mathematics, emphasizing their definitions and uses. A variable is a letter representing a number, while a variable expression combines variables, numerals, and mathematical symbols. Through practical examples, such as calculating miles per gallon using variables, the material illustrates the difference between numerical and variable expressions. Additionally, it engages learners by translating word problems into variable expressions, promoting understanding and application of these essential mathematical concepts.

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Understanding Variables and Expressions in Mathematics

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  1. August 23rd, 2013 Ch. 1-1 Variables and Expressions

  2. Definitions • Variable – • Is a letter that stands for a number • Variable Expression – • Is a mathematical phrase that uses variables, numerals, and mathematical symbols

  3. Example • How many miles can you drive on ten gallons of gas?

  4. Example Cont… • Suppose you don’t know the number of miles, what can we do? • Use a variable! • Let m = the number of miles on 10 gallons • The variable expression for miles per gallon would therefore be m ÷ 10

  5. Numerical Expression vs. Variable Expression • What is the difference between the above expressions? • Can you come up with an example of each?

  6. Writing Variable Expressions • We can translate words into variable expressions

  7. Quick Check • Bagels cost $0.50 each. Write a variable expression for the cost of b bagels. • Answer : 0.50b

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