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## 3.1 – Simplifying Algebraic Expressions

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**3.1 – Simplifying Algebraic Expressions**Commutative Properties Addition: Multiplication:**3.1 – Simplifying Algebraic Expressions**Associative Properties Addition: Multiplication:**3.1 – Simplifying Algebraic Expressions**Distributive Property of Multiplication**3.1 – Simplifying Algebraic Expressions**Definitions Term: a number or a product of a number and variables raised to a power. Coefficient: the numerical factor of each term. Constant: the term without a variable. Like Terms: terms with the same variable factors, but may have different coefficients.**3.1 – Simplifying Algebraic Expressions**Simplify each expression by combining like terms.**3.1 – Simplifying Algebraic Expressions**Simplify each of the expressions by using the distributive property. Simplify each of the expressions.**3.1 – Simplifying Algebraic Expressions**Simplify each of the expressions.**3.1 – Simplifying Algebraic Expressions**Find the perimeter of the square. 2x cm. Find the area of the rectangular lawn. 3 yds. (12y + 9) yds.**3.2 – Solving Equations**Addition and Multiplication Properties**3.2 – Solving Equations**Addition and Multiplication Properties**3.2 – Solving Equations**Addition and Multiplication Properties**3.2 – Solving Equations**General Review Translate each phrase into an algebraic expression. Use “x” as the number. The sum of negative three an a number. -3 + x Negative five decreased by a number. -5 - x A number subtracted from eighty-three. 83 - x The quotient of a number and -4.**3.2 – Solving Equations**General Review Translate each phrase into an algebraic expression. Use “x” as the number. The product of 5 and a number, decreased by 25. 5x - 25 Twice the sum of a number and 3. 2(x + 3) The quotient of 29 and twice a number.