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**Variables and Expressions**

Lesson 2-2

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Vocabulary A numerical expression is a mathematical phrase with only numbers and operation symbols (+, -, x, ÷). Example: An algebraic expression is a mathematical phrase that contains a variable and operation symbols. A variable is a symbol (usually a letter) that stands for a number. Algebraic expression: 5y + 2

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**Evaluating Numerical Expressions**

Use PEMDAS (order of operations). 84 – 10 ÷ 2 84 – 5 79

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**Evaluating Algebraic Expressions**

Replace the variable with the value that you are given. Now we have a numerical expression. Solve using order of operations.

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**Example: Evaluate 2b-8 for b=11**

2(11)-8 Substitute the 11 for the variable. 22 - 8 Multiplying comes before subtracting. 14

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**Example 2: Evaluate 5x-y for x=12 and y=14**

5(12) - 14 46

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Homework Time

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