STRUCTURE: AXIOMS

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

commutative - multiplication

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

symmetric

Match the following. 1. 8 = 8 identity - multiplication 2. If x = y, then y = x commutative - addition 3. If x = y and y = 7, then x = 7 transitive 4. 6 + 2 = 2 + 6 commutative - multiplication 5. 5 ∙ 2 = 2 ∙ 5 reflexive 6. 10 + (3 + 2) = (10 + 3) + 2 symmetric 7. 6(3 ∙ 5) = (6 ∙ 3)5 property of zero 8. 4(8 + 1) = 4 ∙ 8 + 4 ∙ 1 associative - multiplication 9. 6 + 0 = 6 multiplicative inverse 10. 8 ∙ 1 = 8 distributive 11. ∙ 2 = 1 identity - addition 12. 5 ∙ 0 = 0 associative - addition

1. 8 = 8 multiplicative inverse 11 2. If x = y, then y = xcommutative - multiplication 5 3. If x = y and y = 7, then x = 7 identity - addition 9 4. 6 + 2 = 2 + 6 transitive 3 5. 5 ∙ 2 = 2 ∙ 5 distributive 8 6. 10 + (3 + 2) = (10 + 3) + 2 symmetric 2 7. 6(3 ∙ 5) = (6 ∙ 3)5 associative - addition 6 8. 4(8 + 1) = 4 ∙ 8 + 4 ∙ 1 commutative - addition 4 9. 6 + 0 = 6 reflexive 1 10. 8 ∙ 1 = 8 identity - multiplication 10 11. ∙ 2 = 1 property of zero 12 12. 5 ∙ 0 = 0 associative - multiplication 7

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

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