1. Vocab Variable (1-1): Letter(s) used to represent numbers; Change or unknown Evaluate(1-1): Find value of x y z Sections 1-1 to 1-5 Notes

2. Sets of Numbers Real Numbers ( R )- set of rational and irrational numbers Rational Numbers ( Q ) –Can be written in form a/b (b ≠ 0) ( fractions- create decimals that repeat or terminate) Integers ( Z )-(Neg integers, 0, Positive integers ) Natural Numbers ( N )- counting Whole Numbers ( W )- 0 + N Irrational Numbers ( I )- Cannot be written in the form a/b (roots- decimals that do not repeat or terminate)

3. Examples EX 1) Simplify REMEMBER: P Parenthesis or grouping symbols E Exponents MD Multiply or divide (left to right) AS Add or subtract (left to right) Ex 2)Evaluate for x =2 and y=5

4. Commutative Property(1-2): switches the order of the numbers being added or multiplied CPA CPM a + b = b + a ab=ba 3 + x + 4 = 3 + 4 + x 4*a*2 =4*2*a Helps us simplify expressions

5. Identity Property : A number stays the same (keeps its identity) if you add zero or multiply by one IPA IPM a + 0 = a 1x = x x+ 2+(-2) = x 4xy = 2x 2y We use this property when solving equations and simplifying fractions h + 3 - 3 is really h + 0 or h

6. Examples Simplify 3)4) 5)

7. Vocabulary 5353 1-3 Exponential Notation PGS15-18 1-4 Associative Property pgs19-23

8. Examples 6) 7 5 means 7) 2x 3 means 8) (4y) 2 means What is the difference in 7) and 8)?

9. Write the following in exponential form 9) 3∙3∙3∙3 10) 4∙4∙4 Are these the same? 3 4 =4 3 =

10. Special Powers Squared : a base to the second power (squares have 2 dimensions: length and width) 6 2 : can be read “6 to the second power” or “6________” The area of the side of a square with a side of s is A = s 2 so.. means 4 2 (4 squared) = 16 we are talking about the ______________!!!! 4

11. Cubed: a base to the third power (cubes have 3 dimensions (length-width-height) 5 3 : can be read 5 to the third power or 5______ The __________of a cube is V = S 3 so the volume of this cube is V =4 3 (4 cubed) or 64 4

12. Zero / Negative Exponents 23233 2 3232 2121 3131 2020 3030 2 -1 3 -1 2 -2 3 -2 What is 7 0 ? What is 5 -1?

13. Zero Power Any number to the zero power = ________ 11) 4 0 12) (2x) 0 13) (5x 2 y 3 z 8 ) 0 = = =

14. Negative Exponents Negative exponents make __________ (dividing by the base) 14)2 -1 = 15)4 -2 = 16)5 -3 =

15. Examples Evaluate 17) 7n 3 for n=218) (7n) 3 for n=2 19) 5x 2 -x for x=3 2x

16. Associative property (1-4): Changes the grouping of the parenthesis when adding or multiplying APA APM ( 1+2)+3 = 1+(2+3) 15*2*10 =15(2*10) (a+b)+c+d= a+(b+c)+d (a*2)*3 =a*(2*3)

17. Using commutative and associative property, write three equivalent expressions 20) (3x + 6) +y

18. Like Terms(1-5): Terms with the same ________and the same exact__________ 2y and 4y _________like terms 3x 2 and 4x _________like terms 1-5 Distributive Property pgs24-28

19. Distributive Property: gets rid of __________________by distributing multiplication a(b+c) = ab + ac a(b+c) = ab + ac a(b-c) = ab – ac a(b-c) = ab – ac 3(4x + 2)= 3(4x + 2)=

20. Distribute 21) 4(2x + 3) 22) 6(4x 2 + 7) 23) ( x + 6 + 3y)(2)

21. Factoring - reverse distributive property (Use DIVIDING!!!) make sure to get GCF greatest common factor Factor 24) 6x + 8 (what is gcf?) 25) 15a 2 + 30ab + 5a (what is gcf?)

22. Collect like terms (Simplify) 26) 5x + 4 + 3x27) 5(h + 3) + 2(4h + 3) 28)

23. Assignment Chapter 1 Rev/47-48/2-44e