5. Structure: Axioms

Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30

Commutative - addition Associative - addition

Choose the axiom that allows b(7) to be written 7b.

Commutative - mutiplication

Match the following 1. 8 = 8 2. If x = y, then y = x 3. If x=y and y=7, then x=7 4. 6+2 = 2+6 5. 5 ∙ 2 = 2 ∙ 5 6. 10+(3+2)=(10+3)+2 7. 6(3 ∙5)=(6 ∙3)5 6 8. 4(8+1)=4 ∙8+4 ∙1 9. 6+0 = 6 10. 8 ∙ 1 = 8 11. (1/2) 2 = 1 12. 5 ∙ 0 = 0

1 - reflexive 2 - symmetric 12 - property of zero 10 - identity - multiplication 3 - transitive 4 - commutative - addition 6 - associative - addition 11 - multiplicative inverse 5 - commutative - multiplication 9 - identity - addition 7 - associative - multiplication 8 - distributive

Select the property that allows the statement 3 = x to be written x = 3.

Symmetric