Real Numbers
Algebraic Properties
Order of Operations/Substitution
100

What set of Real Numbers (N, W, Z, Q, or I) is the set of all positive counting numbers (1, 2, 3...)

Natural

100

What property states that order does not matter in addition or subtraction?

Communative Property

100

Simplify:

17-2^5div4+6

15

200

Name ALL sets that the number -12 belongs too.

Integer, Rational, and Real

200

What property proves this expression?

3(a+2)=3a+6

Distributive Property

200

Simplify: 

(2+3*4^2)/((3+2)*(4-2))

5

300

Name all sets the following number belongs too.

sqrt(5)

Irrational

300

What property proves this expression?


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

Associative Property

300

Simplify if x=3 

4x^2-2x+7

37

400

True or False: 

Natural numbers are closed under addition.


True

400

What property proves this expression?

3x+(-3x)=0

Inverse Property

400

Simplify given that a=4 and b=-7

a^2b-b^2

-161

500

Let be an irrational number. 

Would - a result in an irrational number? 

No, it would be 0

500

What property proves this expression?


(3x^2yz)(0)=0

Zero Product Property

500

Simplify if a=-3, b=-5, c=2

-a^2-2bc-abs(c)

9

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