Algebraic Expressions and FormulasWe will Evaluate algebraic expressions.We will use mathematical models.We will understand the vocabulary of algebraic expressions.We will Simplify algebraic expressions.

Evaluating Algebraic ExpressionsEvaluating an algebraic expression - finding the value for an expression given a value for the variable(s).We can evaluate 3x -2 when x = 8 to be.We will evaluate algebraic expressions.

We can evaluate an expression with multiple variables-2x + 5xy * 3y when x=2 and y=-4

x(y-5)(z+3) when x=2, y=8, z=-4

Vocabulary of Algebraic ExpressionsTerms - Parts of an algebraic expression that are separated by addition.Coefficient - The numerical part of a term.Numerical term or Constant- a term that consists of just a number.Factors - The parts of each term that are multiplied.Like terms - Terms with the same variable and exponent factors. We will understand the vocabulary of algebraic expressions.

Properties of Real NumbersCommutative Property of additiona + b = b + aCommutative Property of Multiplicationa*b = b*aAssociative Property of Addition(a+b)+c = a+(b+c)Associative Property of Multiplication(ab)c = a(bc)We will simplify algebraic expressions

Distributive Propertya(b+c) = ab + ac

a(b-c) = ab - ac

ba+ca= (b+c)a

Distributive Property Examples2(x - 9) + 3x

-(a+b)

8x + 2[5-(x-3)]