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|

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