1.1 properties

12 terms by dsmith94 

Ready to study?
Start with Flashcards

Create a new folder

Advertisement Upgrade to remove ads

Axiom or postulate

a statement that is assumed to be true

Reflexive Property

a=a
every real number equals itself

Symmetric property

if a=b then b=a
you can switch the sides of an equation
10=3x-5 or 3x-5=10

Transitive Property

if a=b and b=c then a=c
if 3y+22=m then m=3y+22

Addition property of equality

if a=b then a+c=b+c
you can add any real number to both sides of the equation 3x+=y then 3x+7=y+2

Multiplication property of equality

if a=b the ac=bc
here you are multiplying both sides by c
you can multiply both sides of an equation by any real number

Closure Property

a+b and ab are unique real numbers
whenever you add or multiply 2 real numbers together you get a real number
7+5=12 always

Commutative Property

a+b=b+a, ab=ba
you can change the order of numbers you are adding or multiplying
3+4=4+3
3(4)=4(3)

Associative Property

(a+b)+c=a(b+c)
(ab)c=a(bc)
you can change the grouping of numbers that are being added or multiplied
4+(5+6)=(4+6)+5

Identity Property

0+a=a
1(a)=a
adding 0 does not change the number neither does multiplying by 1

Inverse Property

a) opposites or additive inverses:
a+(-a)=0
any number plus its opposite equals 0
x+ (-x)= 0

b)reciprocals or multiplicative inverses:
any number times its reciprocal = 1
mx1
- =1
m

Distributive Property

2(x+5)=2x+10
you must take the most out that you can
12m+18=6(2m+3)

Please allow access to your computer’s microphone to use Voice Recording.

Having trouble? Click here for help.

We can’t access your microphone!

Click the icon above to update your browser permissions above and try again

Example:

Reload the page to try again!

Reload

Press Cmd-0 to reset your zoom

Press Ctrl-0 to reset your zoom

It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

Please upgrade Flash or install Chrome
to use Voice Recording.

For more help, see our troubleshooting page.

Your microphone is muted

For help fixing this issue, see this FAQ.

Star this term

You can study starred terms together

NEW! Voice Recording

Create Set