1. Algebraic Expressions AUGUST 8, 2016

2. Essential Question How do I identify the parts of an expression in terms of context?

3. Outline  Definitions  Examples

4. Definitions  Binomial expression  An algebraic expression with two unlike terms  Monomial expression  An algebraic expression with one term  Expression  A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.  Factor  When two or more integers are multiplied, each integer is a factor of the product. To factor" means to write the number or term as a product of its factors

5. Definitions  Integer  The set of numbers...,–3,–2,–1,0,1,2,3,...  Perimeter  The sum of the lengths of the sides of a polygon  Whole Number  The numbers 0, 1, 2, 3,....  Polynomial expression  An algebraic expression with more than two terms

6. Definitions  Area  Measurement of the inside of a polygon  Degree of Term  Number written above variable or letter (AKA exponent)  Terms  A number, a variable, or a product of numbers and variables  Coefficients  A number multiplied by a variable

7. Definitions  Solution of an equation  Simplest form of an equation  Inverse operation  Opposite operation  Variable  A letter or symbol used to represent a number  Constant  A quantity that does not change its value  Standard form of polynomial  To express a polynomial by putting the terms in descending exponent order.

8. Examples  Binomial expression

9. Examples  Monomial expression

10. Example  Expression

11. Examples  Factor

12. Examples  Perimeter  L+W+L+W  7 mm+3 mm+7 mm+3 mm=20 mm

13. Examples  Polynomial expression

14. Examples  Area  L X W  12 cm X 9 cm =81 cm

15. Example  Degree of Term X3X3 4x 2 5x 4 3 rd degree 2 nd degree 4 th degree

16. Examples  Solution of Equation

17. Examples  Inverse operation OperationExampleInverse OperationExample Addition5+4Subtraction5-4 Subtraction6-3Addition6+3 Multiplication7 X 2Division7 / 2 Division8 / 1Multiplication8 X 1

18. Examples  Standard form of polynomial