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1.1 Algebraic Expressions

Evaluating Algebraic Expressions Variable: Algebraic Expression or Variable Expression: Evaluate: Steps to Evaluate an Algebraic Expression: 1. 2. PEMDAS

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Symbol, usually a letter, that represents one or more numbers.

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An expression that contains one or more variables

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Substitute in numbers for the variables and solve

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Substitute the number in for the variables

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Follow the steps of PEMDAS

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Parentheses Exponents Multiplication Division Addition Subtraction

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Order of operations

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Simplifying Algebraic Expressions Parts of an algebraic expression

7x! + 3y Term: Coefficient: Like Terms:

Properties for Simplifying Algebraic Expressions Let a, b, and c represent real numbers.

Definition of Subtraction

Definition of Division

Distributive Property for Subtraction

Multiplication by 0

Multiplication by -1

Opposite of a Sum

Opposite of a Difference

Opposite of a Product

Opposite of an Opposite

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Term

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Coefficients

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Number, variable, or the product of a number and one or more variables.

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The numerical factor in a term

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Have the same variables raised to the same powers

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Ex: 3r and -r are like terms and -2xy and 3xy are like terms.

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a - b = a + (-b)

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