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Problem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class. [IMAGE]
Solution: Let g represent the number of groups in Ms. Jensen's class.
Then 2 · g, or 2g can represent "g groups of 2 students".
In the problem above, the variable g represents the number of groups in Ms. Jensen's class. A variable is a symbol used to represent a number in an expression or an equation. The value of this number can vary (change). Let's look at an example in which we use a variable.
Example 1: Write each phrase as a mathematical expression.
Phrase Expression
the sum of nine and eight 9 + 8
the sum of nine and a number x 9 + x
The expression 9 + 8 represents a single number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression 9 + x represents a value that can change. If x is 2, then the expression 9 + x has a value of 11. If x is 6, then the expression has a value of 15. So 9 + x is an algebraic expression. In the next few examples, we will be working solely with algebraic expressions.
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