Presentation on theme: "Algebraic Expressions and Formulas"— Presentation transcript:
1 Algebraic Expressions and Formulas We will Evaluate algebraic expressions.We will use mathematical models.We will understand the vocabulary of algebraic expressions.We will Simplify algebraic expressions.
2 Evaluating Algebraic Expressions We will evaluate 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.
3 We can evaluate an expression with multiple variables -2x + 5xy * 3y when x=2 and y=-4x(y-5)(z+3) when x=2, y=8, z=-4
4 Vocabulary of Algebraic Expressions We will understand the vocabulary of algebraic expressions.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.
5 Properties of Real Numbers We will simplify algebraic expressionsProperties 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)
6 Distributive Property a(b+c) = ab + aca(b-c) = ab - acba+ca= (b+c)a