Chapter 6 Algebraic Expressions

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Presentation transcript:

Chapter 6 Algebraic Expressions

Please Excuse My Dear Aunt Sally Order of Operations P parenthesis E exponents M multiply D divide A add S subtract Please Excuse My Dear Aunt Sally Which ever one comes 1st from left to right Which ever one comes 1st from left to right

6-1 (A) Numerical Expressions An expression that contains both numbers & operations. You use Order of Operations to find the value of the expression. 7² is called a Power. Write the power as a product: 7 x 7 Evaluate the expression: 7 x 7 = 49

6-1(B) Variables & Expressions Algebraic Expressions* use variables* and numbers. To Evaluate you substitute the variable with the given value and use Order of Operations*. Ex: 5m – 7 if m = 4 5(4) – 7 20 – 7 13 *refer to vocab sheet

6-1(C-D) Writing Expressions Addition Subtraction Multiplication Division plus minus times divided sum difference product quotient more than less than multiplied per increased by decreased by twice separate in all less each

6-1 (E) Problem Solving Investigation Understand – “What is given?” “What is needed?” Plan – pick a strategy Solve – carry out the plan / use labels, units or symbols Check - “Does my answer make sense?”

6-2 (A - C) Properties Commutative of: Addition: 2 + 3 = 3 + 2 Multiplication: 4 x 5 = 5 x 4 Associative of Addition: (2 + 3) + 4 = 2 + (3 + 4) Multiplication: ( 2 x 3) x 4 = 2 x (3 x 4) Identity of Addition: 5 + 0 = 5 Multiplication: 6 x 1 = 6 Distributive: 5( 2 + 3) = 5 x 2 + 5 x 3