Chapter 1 Flashcards Preview

Honors Algebra 2/ Trigonometry > Chapter 1 > Flashcards

Flashcards in Chapter 1 Deck (24):
1

Whole numbers

Any positive whole number, including zero

2

Integers

Any whole number, positive or negative, including zero

3

Rational numbers

Any number that terminates or repeats, includes fractions and everything.

4

Irrational numbers

Any endless non repeating number, like pi

5

Closure property of addition

A+ B = a real number

6

Closure property of multiplication

AB = a real number

7

Commutative property of addition

A+B=B+A

8

Commutative property of multiplication

Ab=bA

9

Associative property of addition

(A+b)+c= a+(b+c)

10

Associative property of multiplication

A(bc)=(ab)c

11

Identative property of addition

A+0=a a+0=a a is the additive identity

12

Identative property of multiplication

Ax1=a ax1=A a is the multiplicative identity

13

Inverse property of addition

A+(-a) = 0

14

Inverse property of multiplication

A x 1/A =1 A is not equal to 0

15

Distributive property

A(b+c) = ab+ac

16

When is an equation considered never true?

When you simplify it and get an untrue equation ex. 4=3

17

When is an equations considered sometimes true

When you simplify it and get a number x and another number ex. 4x=8

18

When is an equation considered always true

When you simplify it and are left with a true statement ex 6=6

19

The graph of an "and" equality....

Face each other making a section of answers that make both statements true

20

The graph of an "or" equation...

Will have arrows facing apart from eachother,

21

Steps for solving an absolute value equation

1. Isolate the absolute value
2. Set the 2 solutions (one negative, and one positive)
3. Solve both
4. Check for extraneous solutions
5 stop writing

22

Solving absolute value inequalities. |a|

1. Isolate the absolute value
2. Set up as -b

23

Solving absolute value equations |a|>b "or"

1. Isolate the absolute value
2. Write as ab (flip sign for negative)
3. Solve on both sides
4. Check for extraneous solutions
5. Stop writing.

24

Natural numbers

Any whole number that is positive, does not include zero