Real Number System/Algebra Properties
Order of Operations
Simplifying Expressions
Equations
Inequalities
100

The smallest number set that 3 belongs to. 

Natural Numbers

100

Simplify |-3| 

3

100

Simplify 

3x+4x

7x

100

Solve 

x+7 = 12

x=5

100

Graph the inequality 

x>12

Open circle pointing to the right 

200

The smallest number set that 3.5 belongs to. 

Rational

200

Simplify |-3 - 9| 

12
200

Simplify 

5x - 6 + 2x - 9 

7x-15

200

(1/2)x = 6 

x = 12

200

Solve and graph 

x-7 < 9

x<16

300

The property that justifies (a+b) + 0= a+b

Identity Property 

300

Simplify  

4+23-|-4|

8

300

2x - 4y + 6 +3x - 9y - 4 

5x -13y +2

300

3x + 4 = 16

x = 4 

300

Solve 

4x - 1 <-29

X<7

400

Given an example of the associative property 

(Grouping changes). 

400

32-3[(52-9)/2]

-15

400

Simplify 

10- 4(2x +7) 

-8x - 18

400

5 - x/4 = 7

x=-8

400

Solve (x-13)/-6 >3

x<-5

500

The property illustrated below:

(xy) + z = (yx) + z 

Commutative 

500

Simplify the expression [(3-13)2+14]/(42-2 X 5) 

19

500

Simplify 

4(5w - 3) - (w - 1) 

19w -11

500

12 - (1/9)x = 17

x = -45

500

Is 5 a solution to the inequality 

4x - 8 > 12 

No

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