Chapter 1 Test Terms

Question 0

Associative Property or Addition & Multiplication

Answer 0

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

ab)c=a(bc

Question 1

Commutative Property of Addition & Multiplication

Answer 1

a+b=b+a

ab=ba

Question 2

Identity Property of Addition & Multiplication

Answer 2

a+0=a, 0+a=a

a1=a, 1a=a

Question 3

Inverse Property of Addition & Multiplication

Answer 3

a+(-a)=0

a*1/a=1, a doesn’t equal 0

Question 4

Distributive Property

Answer 4

a(b+c) = ab+ac

Question 5

Distributive Property for Subtraction

Answer 5

a(b-c)=ab-ac

Question 6

Multiplication by 0

Answer 6

0*a=0

Question 7

Multiplication by -1

Answer 7

-1*a=-a

Question 8

Opposite of a Sum

Answer 8

-(a+b)=-a+(-b)

Question 9

Opposite of a Difference

Answer 9

-(a-b)=b-a

Question 10

Opposite of a Product

Answer 10

-(ab)=-ab=a(-b)

Question 11

Opposite of an Opposite

Answer 11

-(-a)=a

Question 12

Reflexive Property

Answer 12

a=a

Question 13

Symmetric Property

Answer 13

If a=b, then b=a

Question 14

Transitive Property

Answer 14

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

Question 15

Addition Property

Answer 15

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

Question 16

Subtraction Property

Answer 16

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

Question 17

Multiplication Property

Answer 17

If a=b, then ac=bc

Question 18

Division Property

Answer 18

If a=b and c doesn’t equal 0, then a/c=b/c

Question 19

Substitution Property

Answer 19

If a=b, then b may be substituted for a in any expression to obtain an equivalent expression