1.3 Algebraic 1.3 Algebraic ExpressionsExpressions

Goals:Goals:~Evaluate algebraic ~Evaluate algebraic

expressionsexpressions~Simplify algebraic ~Simplify algebraic

expressionsexpressions

Simplify:Simplify:12 + 24 ÷ 6 ∙ 212 + 24 ÷ 6 ∙ 2

Order of OperationsOrder of OperationsPlease Please ExcuseExcuseMyMyDearDearAunt Aunt SallySally

Exponents and PowersExponents and PowersEvaluate 3Evaluate 344

Exponents and PowersExponents and PowersEvaluate 3Evaluate 344

4 is the _______________4 is the _______________3 is the _______________3 is the _______________

Power is the product of equal factors.Power is the product of equal factors.

Exponents and PowersExponents and PowersWhat is the difference between What is the difference between

(3x)(3x)22 and 3x and 3x22

Simplify these numeric Simplify these numeric expressionsexpressions

6 ÷ 3 ∙ 26 ÷ 3 ∙ 233 + 9 (6 ÷ 3 ∙ 2) + 9 (6 ÷ 3 ∙ 2)33 + 9 + 9

(6 ÷ 3) (2(6 ÷ 3) (233 + 9) 6 ÷ (3 ∙ 2 + 9) 6 ÷ (3 ∙ 233) + 9) + 9

TermTerm►Part of an expression. Part of an expression. ►Can be a number, variable, or product Can be a number, variable, or product

of one or more numbers or variables. of one or more numbers or variables.

CoefficientCoefficient►Number in frontNumber in front►Numerical factor of a termNumerical factor of a term

Like TermsLike Terms►Same variable raised to same powerSame variable raised to same power►3x3x22 and -6x and -6x22

►-5a-5a22bb33 and 10a and 10a22bb33

►NOT LIKE TERMS: 10xNOT LIKE TERMS: 10x22y and -5xyy and -5xy22

Combine Like TermsCombine Like Terms►Combine coefficientsCombine coefficients►Use the same variable and coefficientsUse the same variable and coefficients

Combine Like TermsCombine Like Terms1.) 3k – k 1.) 3k – k

2.) 5z2.) 5z22 – 10z – 8z – 10z – 8z22 + z = + z =

3.) -(m – n) + 2(m – 3n) =3.) -(m – n) + 2(m – 3n) =