Justifications

Question 1

Symmetric Property of Equality

Answer 1

Line Above: a=b

This line: b=a

Question 2

Additive Inverse Property

Answer 2

Line above: x+-x

Line below: 0

Question 3

Associative Property of Multiplication

Answer 3

Line above: (ab)c

Line below: a(bc)

Question 4

Multiplicative Property of Equality

Answer 4

Line above: a=b

Line below: a•c=b•c

Question 5

ZPP

Answer 5

a•0=0

Question 6

Multiply by -1 Property

Answer 6

Line above: a•(-1)

Line below: -a

Question 7

Distributive Property of Multiplication over Addition

Answer 7

a(x+y) = ax+ay

Question 8

Reflexive Property of Equality

Answer 8

a=a

Question 9

Associative Property of Addition

Answer 9

Line above: (a+b)+c

Line below: a+(b+c)

Question 10

Communitive Property of Multiplication

Answer 10

Line above: ab

This line: ba

Question 11

Communitive Property of Addition

Answer 11

a+b = b+a

Question 12

Multiplicative Identity Property

Answer 12

x•1 = x

Question 13

Additive Property of Equality

Answer 13

a =b = a+c = b+c

Question 14

Multiplicative Inverse Property

Answer 14

Line above: x•1/x

This line: 3

Question 15

Definition of Subtraction

Answer 15

Line above: a-b

This line: a+-b

Question 16

Definition of Division

Answer 16

Line above: a/b

This line: a•1/b

Question 17

Transitive Property of Equality

Answer 17

Line Above: a=b, b=c

This line: a=c