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Simplify and Evaluate algebraic expressions

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Simplify and Evaluate algebraic expressions
Unit 2 lesson 1
Order of operations-Steps
1.Parentheses or othergroupingsymbols(evaluate what’s within) .2.Exponents (evaluate)3.Multiply orDivide in order from left to right.4.Add orSubtract in order from left to rightPEMDASPlease Excuse My Dear Aunt Sally
Example 1
PEMDAS
Commutative and Associative
Commutative property of additiona + b = b + aCommutative property of multiplicationab =baAssociative property of addition(a + b) + c = a + (b + c)Associative property of multiplication(a x b) x c = a x (b x c)
Example 2
*Use number properties and like terms(11k + 5) + 2k
Commutative property of additiona + b = b + aAssociative property of addition(a + b) + c = a + (b + c)
Example 3
* Use the properties of addition4s + 5t + (-3s) + 4t
Commutative property of additiona + b = b + aAssociative property of addition(a + b) + c = a + (b + c)
Distributive property
Distributive property over additiona(b + c) = ab + acDistributive property over subtractiona(b - c) = ab - ac
Example 4
*Use number properties and combine like terms2(4m + n ) – 2n
Example 5
*Combine like terms and use distributive property to find the GCF* Simplify and factor this expression6x + 3x + 15y + 12y
Example 6
* Substitute the value of each variable into the expression.Evaluate this expression when a = 8 and b = -712 + 3a – b
Example 7
Example 8
Work session
Classwork activity.HomeworkComplete classwork

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Simplify and Evaluate algebraic expressions