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Algebra

Note Taking Guide 1.7

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1.07 Algebraic Properties & Equations Essential Questions After completing this lesson, you will be able to answer the following questions: How are algebraic properties applied in the steps to solving equations? How are equations created from context and used to solve real world problems? Main Idea Definition or Summary Example Algebraic Expression An algebraic expression is a ____________ but has nothing to __________. 2x+3 or x ? 4 Create your own: Equation An equation is _____________ set ________ to each other. 2x + 4 = 12 Create your own: Commutative Property of Addition or Multiplication Numbers can change __________. 2+5 = 5+2 3*2 = 2*3 Create your own: Associative Property of Addition or Multiplication The parenthesis move. 1 + (3 + 2) = (1 + 3) + 2

Note Taking Guide 1.6

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1.06 Translations Essential Questions After completing this lesson, you will be able to answer these questions: How can translations help me understand how to represent verbal phrases as algebraic expressions? What are the key words and phrases that indicate certain operations? Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE Translation (Pg. 2) English to Algebra Addition Terms ? ___________ Subtraction Terms ? l__________ Multiplication Terms ? ___________ Division Terms ? ___________ EX: 4 times the difference of n and 8 ___________ EX: The area of a triangle is found by taking half of the product of the base times the height ___________ EX: x more than 5 ___________ EX: 9 subtracted from x ___________ EX: 25% of x ___________

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