Unit 1 - Properties

Question 1

a + 0 = a

Answer 1

Additive Identity Property

Question 2

a + -a = 0

Answer 2

Additive Inverse Property

Question 3

If a = b, then b = a

Answer 3

Symmetric Property of Equality

Question 4

If a = b, then a+c = b+c

Answer 4

Addition Property of Equality

Question 5

If a = b, then b may be used for a in any expression containing a.
(Basically simplification)

Answer 5

Substitution Property of Equality

Question 6

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

or

a(bc) = (ab)c

Answer 6

Associative Property

Question 7

If a = b, then a x c = b x c

Answer 7

Multiplication Property of Equality

Question 8

a+b = b+a

Answer 8

Commutative Property

Question 9

a (b+c) = ab + ac

Answer 9

Distributive Property

Question 10

If a = b and b = c, then a = c

Answer 10

Transitive Property of Equality

Question 11

a x 1 = a

Answer 11

Multiplicative Identity Property

Question 12

a x 1/a = 1

Answer 12

Multiplicative Inverse Property

Question 13

a (0) = 0

Answer 13

Multiplicative Property of 0

Question 14

a (-1) = -a

Answer 14

Multiplicative Property of -1

Question 15

If a = b, (and c does not = 0) then a/c = b/c

Answer 15

Division Property of Equality

Question 16

a = a

Answer 16

Reflexive Property of Equality

Question 17

If a = b, then a - c = b - c

Answer 17

Subtraction Property of Equality