Board Problems 8/4/05 Identify the property shown: Evaluate the expression:

Agenda 8/4/05 –check for calculator, check book covers, collect homework Go over HW questions Notes Homework…

The Essential 55 by Ron Clark Rule : Life is what we make it, always has been, always will be!!!

1.2 Algebraic Expressions & Models

ALGEBRAIC EXPRESSIONS: List the variables, coefficients and constants in the expression 2x + y – 7 ? Coefficients: Variables: Constant: Expressions vs. equations

Base Exponent/ power

1.) 2y + x if x =3 and y =5 2.) 5x – y if x =10 and y =5 3.) -(-y) if y = -8 Evaluate “To evaluate” is the same as “to substitute” 4.) |x | - 2y if x = -16 and y = -4

a.) 4y - x= 4y + (-x) b.) 3p + 5q c.) -5x – 3y d.) -6p + 5t = 3p – (-5q) = -5 + (-3y) = -6p – (-5t) Equivalent Expressions: Do not write this down.

The Distributive Property

a(b + c) = ab + ac a(b – c) = ab - ac ) 4(x + 2) = 2.) b(s – t + f) = 3.) -3(y + 4) = The Distributive Property Distribute.

same Like terms - terms whose variables are the same! ) x – 3x = 8.) 2x + 3y – 5x – 2y = 9.) 22x – x = Collecting Like Terms

-1 a = -a Multiplying any number by – 1 changes its sign. -(a + b) = -a + (-b)= -a – b Multiplicative Property of (-1) Inverse of a Sum Property The inverse of a sum is the sum of the inverses. Basically, you have distributed -1.

10.) -(3x – 2y + 4) = 11.) -(-2x – 5z + 24) = Simplify

Order of Operations

( ) exponents Multiply & divide Add & subtract P.E.M.D.A.S. P M. D. A.S. Left to right E Please Excuse My Dear Aunt Sally

12.) 6x – (4x + 2) = 13.) x – 5(x + y) = 14.) 3x – 5(2y – 4x) = Simplify

Challenge Simplify: 6y - {4 [3 (y - 2) - 4(y + 2)] -3}

Journal Do you think algebra is an important subject for you to study? Why or why not? Explain fully. A-4