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Algebraic Expressions

This resource provides a comprehensive overview of key concepts related to algebraic expressions, including the definition of an algebraic expression, the importance of like terms, and the order of operations governed by PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). The material emphasizes the process of simplifying algebraic expressions through distribution and combination of like terms, as well as evaluating expressions by substituting variable values. Ideal for students looking to solidify their understanding of algebra.

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Algebraic Expressions

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  1. Algebraic Expressions Unit 1-1

  2. Key Words: • Algebraic Expression: An expression that contains at least one variable. Ex. 2x 3x2 + 3y – 5 • Like Terms: Terms with the same variables raised to the same exponents. Ex. 4x2 and 3x2 Are 3xy and 4x?

  3. Order of Operations • PEMDAS • Parenthesis () • Exponents 3x2 • Multiplication and Division* • Addition and Subtraction* *Multiplication and Division must be performed left to right. Multiplication is not necessarily first. Same with Addition and Subtraction.

  4. Simplifying Algebraic Expressions Distribute

  5. Simplifying Algebraic Expressions Multiply or Distribution Combine like terms

  6. Your turn! Answer:

  7. Order of Operations PEMDAS PEMDAS *Remember: addition and subtraction is performed left to right!

  8. Order of Operations PEMDAS PEMDAS PEMDAS PEMDAS PEMDAS

  9. Your turn! Answer:

  10. Evaluating Algebraic Expressions ; x = 4 and y = 7 SUBSTITUTE! PEMDAS PEMDAS

  11. Evaluating Algebraic Equations ; b = 6 and z = 2 SUBSTITUTE! PEMDAS PEMDAS PEMDAS

  12. Your turn! ; x = 2 and y = 5 Answer:

  13. ASSIGNMENT • Page 30 # 3 - 7

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