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Expanding Algebraic Expressions Section 7-1 in Digits
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3x + 7 + x + 2 Term – each part of an algebraic expression separated by addition or subtraction signs Examples: Coefficient- the numerical part of a term (number in front of a variable) Examples: Constant – a term without a variable Example: Like Terms – terms that contain the same variables Examples: Expression– a string of numbers, variables, and symbols without an equal or inequality sign
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Summarize
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Simplest Form An expression is in simplest form when there are no like terms and no parenthesis. Example 3x – 4y + 1 Non- Example 5m + 3m - 2
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Let’s look at the different types of distributive property questions…
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From the left…
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From the right…
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A variable…
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A negative number…
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Over three terms…
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Simplify. 1.) 4(5v – 2) 2.) -2(-3y + 5) 3.) ½ (10 + 8x)
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Turn and talk it out… Can you expand the expression 2x(3y) using distributive property?
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Use the distributive property to simplify the following: You Try:
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