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Algebraic Expressions Simplification and Equation Solving Guide

Learn simplifying algebraic expressions using commutative, associative, and distributive properties. Understand terms, coefficients, like terms, and solving equations with addition and multiplication properties. Practice translating phrases into algebraic expressions.

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Algebraic Expressions Simplification and Equation Solving Guide

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  1. 3.1 – Simplifying Algebraic Expressions Commutative Properties Addition: Multiplication:

  2. 3.1 – Simplifying Algebraic Expressions Associative Properties Addition: Multiplication:

  3. 3.1 – Simplifying Algebraic Expressions Distributive Property of Multiplication

  4. 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.

  5. 3.1 – Simplifying Algebraic Expressions Simplify each expression by combining like terms.

  6. 3.1 – Simplifying Algebraic Expressions Simplify each of the expressions by using the distributive property. Simplify each of the expressions.

  7. 3.1 – Simplifying Algebraic Expressions Simplify each of the expressions.

  8. 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.

  9. 3.2 – Solving Equations Addition and Multiplication Properties

  10. 3.2 – Solving Equations Addition and Multiplication Properties

  11. 3.2 – Solving Equations Addition and Multiplication Properties

  12. 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.

  13. 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.

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