2.5 Reasoning with Properties

Question 0

Subtraction Property of Equality

Answer 0

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

Question 1

Addition Property of Equality

Answer 1

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

Question 2

Multiplication Property of Equality

Answer 2

If a=b, then ac=bc

Question 3

Division Property of Equality

Answer 3

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

Question 4

Reflexive Property of Equality

Answer 4

For any real number a, a=a

Question 5

Symmetric Property of Equality

Answer 5

If a=b, then b=a

Question 6

Transitive Property of Equality

Answer 6

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

Question 7

Substitution Property of Equality

Answer 7

If a=b, then a may be substituted for b in any equation or expression