Axiom Certification Script 2026 Questions With Solutions Graded A+

AXIOM CERTIFICATION SCRIPT 2026
QUESTIONS WITH SOLUTIONS
GRADED A+

◍ Commutative Axiom of Addition.
Answer: 3x + 4x = 4x + 3x
◍ Commutative Axiom of Multiplication.
Answer: 6(7) = 7(6)
◍ closure axiom of addition.
Answer: a + b = c, where c is a unique real number
◍ closure axiom of multiplication.
Answer: ab = c, where c is a unique real number
◍ commutative axiom for addition.
Answer: a + b = b + a
◍ commutative axiom for multiplication.
Answer: ab = ba
◍ Associative Axiom of Addition.
Answer: 7 + (9 + 3) = (7 + 9) + 3
◍ associative axiom for addition.
Answer: a + (b + c) = (a + b) + c
◍ Additive Identity Axiom.
Answer: 7 + 0 = 7
◍ associative axiom for multiplication.
Answer: a(bc) = (ab)c
◍ identity axiom for addition.

, Answer: a + 0 = 0 + a =a, where 0 is unique
◍ identity axiom for multiplication.
Answer: a(1) = (1)a = a, where 1 is unique
◍ Symmetric Axiom of Equality.
Answer: If 19(2) = 38, then 38 = 19(2)
◍ Multiplicative Inverses Axiom.
Answer: 7 x ¹/₇ = 1
◍ Distributive Axiom for Multiplication over Addition.
Answer: (4 + 13)(6) = 4(6) + 13(6)
◍ the additive identity element.
Answer: 0
◍ the multiplicative identity element.
Answer: 1
◍ Multiplication Property of -1.
Answer: -1(6) = -6
◍ inverse axiom for addition.
Answer: a + (-a) = (-a) + a =0, where -a is unique
◍ inverse axiom for multiplication.
Answer: a(1/a) = (1/a)a = 1, where 1/a is unique, a ≠ 0
◍ the additive inverse of a.
Answer: (-a)
◍ Additive Identity Axiom.
Answer: 0 + (-124) = -124
◍ the multiplicative inverse of a.
Answer: 1/a
◍ the reciprocal of a.
Answer: 1/a