Show:
Properties
Rules of Addition
Rules of Subtraction
Distributive Prop
Multiplication/Division
100

(74+99)+1= 74+(99+1)

Associative Prop of Add

100

7+(-9)+15+(-12)

1

100

-4-(-10)

6

100

9(3x-2)

27x-18

100

3x-4(x-2)

-x+8

200

If 3+p=12 then 12=3+p

Symmetric property

200

-3+(-6)+9

0

200

7+y-(7-y)-y

y

200

15(4+3/5)

69

200

1/3 (18x-39)

6x-13

300

(5+x)+(-3)= (x+5) +(-3)

Commutative property

300

3+(-5/2) +(-7/2)

-3

300

-(10-x)-(x-12)

2

300

(2x+3y)5

10x+15y

300

9/ -1/9

-81

400

If x+2=5 and x+2=y then 5=y

Transitive

400

-(-9)+2y+(-9)+6

2y+6

400

Evaluate if a=-4, b=5,c=-1

|c|-b-(|a|-c)

-9

400

5(7y-3z+4)

35y-15z+20

400

4[2(-5x+y)-y]-10(y-4x)

-6y

500

(3x)(yz)=3(xyz)

Associative property

500

3x+[2+(-3x)]+(-22)

-20

500

Evaluate if a=3,b=-2,c=-1

(a-|c|)-|a|-b

1

500

4(5x+3y+6)+14(2y-1)

20x+40y+10

500

If a--3,b=-1, c=2, and d=6

[(c+a)(c-a)]/ (b+d)

-1