09.24.2018 Do Now Introduction Video Cornell Notes Guided Practice Agenda Do Now Do Now Introduction Video Cornell Notes Guided Practice Independent Practice Turn in Avid one pager Format your paper for Cornell Notes Topic: Simplifying Algebraic Expressions E.Q.- How do I simplify Algebraic Expressions D.E.A.R.!!!

Simplifying Algebraic Expressions https://www.youtube.com/watch?v=T5DcqVwyrfk

SIMPLIFY ALGEBRAIC EXPRESSIONS Positively Pre-Algebra Plus 2015

Simplifying Expressions An expression is a math sentence that does not have an equal sign. For example: 3x + 7 – 4x -2 Remember: We evaluate expressions. We solve equations. Positively Pre-Algebra Plus 2017

Simplifying Expressions Each part of an expression is called a term. In the expression 3x + 7 - 4x -2 the terms are: 3x, 7, -4x, and -2 Notice that the sign in front of each term goes with that term. Positively Pre-Algebra Plus 2017

Simplifying Expressions Terms that have identical variable parts are like terms. In the expression 3x + 7 – 4x -2 3x and -4x are like terms 7 and -2 are like terms We can combine like terms. Positively Pre-Algebra Plus 2017

Simplifying Expressions The coefficient of a term is the number part of the term. In the expression 3x + 7 – 4x -2 the coefficients are 3 (from 3x) and -4 (from -4x). If a variable has no number in front of it, the coefficient is 1. Positively Pre-Algebra Plus 2017

Simplifying Expressions A term that has a number, but no variable, is a constant term. In the expression 3x + 7 - 4x -2 the constants are: 7 and -2. Positively Pre-Algebra Plus 2017

Your Turn - Identify the coefficients, constant term(s), and like terms a – 5 + 4a 7 – 2b + b -8 -3c + 2 + 6c + 5 4, 1; -5; a and 4a -2, 1; 7, -8; 7 and -8, -2b and b -3 and 6; 2 and 5; -3c and 6c, 2 and 5 Positively Pre-Algebra Plus 2017

Combining Like Terms We can only add or subtract terms that are alike. 2x + 2 cannot be added because 2x and 2 are not like terms. Like terms have identical variable parts and identical exponents! Positively Pre-Algebra Plus 2017

Combining Like Terms Example: 11x + 1 – 4x 11x and -4x are like terms, so we can combine them: 11x – 4x = 7x Rewrite the simplified expression: = 7x + 1 Positively Pre-Algebra Plus 2017

Combining Like Terms Example: 12m + 9 -2m -16 12m and -2m are like terms. 9 and -16 are like terms. 12m – 2m = 10m 9 – 16 = -7 So, we can rewrite the expression to be: 10m - 7 Positively Pre-Algebra Plus 2017

Your Turn - Simplify Each Expression 10k + 6km + 5k 8g – 9g + 2 y + y + y 4a + 7b + 4b + 5a 8 – 6a + 2b - 8 15k + 6km -g + 2 3y 9a + 11b -6a + 2b Positively Pre-Algebra Plus 2017

Distributive Property Sometimes you need to use distributive property to simplify the expression before you combine like terms. 2(y - 4) + 5y = (2 • y) - (2 • 4) + 5y = 2y – 8 + 5y = 7y - 8 Positively Pre-Algebra Plus 2017

Distributive Property 5(n + 2r) + 3n = (5 • n) + (5 • 2r) + 3n = 5n + 10r + 3n = (5n + 3n) + 10r = 8n + 10r Positively Pre-Algebra Plus 2017

Your Turn - Simplify the expressions 2(15xy + 8x) -2(c + 10) + 4c +22 3(2v + 5m) - 2(3v –2m) 8n + 40 30xy + 16x 2c + 2 19m Positively Pre-Algebra Plus 2017

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