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August 23 rd , 2013. Ch. 1-1 Variables and Expressions. Definitions. Variable – Is a letter that stands for a number Variable Expression – Is a mathematical phrase that uses variables, numerals, and mathematical symbols. Example. How many miles can you drive on ten gallons of gas ?.

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August 23 rd 2013

August 23rd, 2013

Ch. 1-1 Variables and Expressions


Definitions
Definitions

  • Variable –

    • Is a letter that stands for a number

  • Variable Expression –

    • Is a mathematical phrase that uses variables, numerals, and mathematical symbols


Example
Example

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


Example cont
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


Numerical expression vs variable expression
Numerical Expression vs. Variable Expression

  • What is the difference between the above expressions?

    • Can you come up with an example of each?


Writing variable expressions
Writing Variable Expressions

  • We can translate words into variable expressions


Quick check
Quick Check

  • Bagels cost $0.50 each. Write a variable expression for the cost of b bagels.

    • Answer : 0.50b


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