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

2. 8/24/2012
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 Ex 2)Evaluate for x =2 and y=5 REMEMBER:
P Parenthesis or grouping symbols
E Exponents
MD Multiply or divide (left to right)
AS Add or subtract (left to right)
EX 1) Simplify
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 = 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 x = x
x+ 2+(-2) = x 4xy = 2x 2y
We use this property when solving equations and simplifying fractions
h is really h + 0 or h

6. Examples
Simplify
3) 4) )

7. 53 1-3 Exponential Notation PGS15-18 1-4 Associative Property pgs19-23
Vocabulary 53

8. Examples
6) 75 means 7) 2x3 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?
34 = =

10. Special Powers Squared : a base to the second power
(squares have 2 dimensions: length and width)
62 :
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 = s2 so..
means
42 (4 squared) = 16
we are talking about the ______________!!!! 4

11. Cubed: a base to the third power
(cubes have 3 dimensions (length-width-height)
53 :
can be read 5 to the third power or 5______
The __________of a cube is
V = S3 so the volume of this cube is
V =43 (4 cubed) or 64 4

12. Zero / Negative Exponents23 33 22 32 21 31 20 30
2-1
3-1
2-2
3-2
What is 70?
What is
5-1?

13. Zero Power Any number to the zero power = ________ 40 (2x)0
13) (5x2y3z8)0 = = =

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

15. Examples
Evaluate
17) 7n3 for n=2 18) (7n)3 for n=2
5x2-x for x=3 2x

16. (a+b)+c+d= a+(b+c)+d (a*2)*3 =a*(2*3)
Associative property (1-4): Changes the grouping of the parenthesis when adding or multiplying
APA APM
(1+2)+3 = 1+(2+3) *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. 1-5 Distributive Property pgs24-28
Like Terms(1-5):
Terms with the same ________and the same exact__________
2y and 4y _________like terms
3x2 and 4x _________like terms

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

20. 8/24/2012
Distribute
21) 4(2x + 3)
22) 6(4x2 + 7)
23) ( x y)(2)

21. Factoring- reverse distributive property (Use DIVIDING
Factoring- reverse distributive property (Use DIVIDING!!!) make sure to get GCF greatest common factor
Factor
24) 6x (what is gcf?)
25) 15a2 + 30ab + 5a (what is gcf?)

22. Collect like terms (Simplify)
26) 5x x 27) 5(h + 3) + 2(4h + 3)
28)

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