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Lesson 3-2 Pages 103-107 Simplifying Algebraic Expressions Lesson Check 3-1
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What you will learn! How to use the Distributive Property to simplify algebraic expressions.
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Equivalent Expressions Terms Like Terms CoefficientConstant Simplest Form
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What you really need to know! Equivalent Expressions: Expressions that have the same value.
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What you really need to know! Term: a number, a variable, or a product of numbers and variables. Coefficient: the numerical part of a term that also contains a variable.
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What you really need to know! Constant: term without a variable. Like terms: terms that contain the same variables.
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What you really need to know! When an algebraic expression has no like terms and no parentheses, we say that it is in simplest form.
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Example 1: Identify the terms, like terms, coefficients, and constants in the expression. 4x - x + 2y - 3 Terms: 4x, -x, 2y, -3 Coefficients: 4, -1, 2 Like terms: 4x, -x Constant: -3
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Example 2: Simplify each expression: 5x + 4x 9x
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Example 3: Simplify each expression: 8n + 4 + 4n 12n + 4
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Example 4: Simplify each expression: 6x + 4 - 5x - 7 x - 3
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Example 5: Simplify each expression: -y + 2(x + 3y) 2x + 5y -y + 2x + 6y
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Example 6: You and a friend worked in the school store last week. You worked 4 more hours than your friend. Write an expression in simplest form that represents the total number of hours you both worked. Define the hours as h. h + (h + 4) = 2h + 4
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Page 105 Guided Practice #’s 4-16
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Pages 103-107 with someone at home and study examples! Read:
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Homework: Pages 106-107 #’s 18-54 even #’s 58-67 Lesson Check 3-2 Lesson Check 3-2 (V2)
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Page 728 Lesson 3-2
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Lesson Check 3-2 Lesson Check 3-2 (V2)
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