AXIOM Exam Questions with Correct Answers Latest Update 2025-2026 Graded A+
Closure Axiom of Addition - Answers a+b is a real number
Closure Axiom of Multiplication - Answers ab is a real number
Communitive property of addition - Answers a+b=b+a
communative property of multiplication - Answers ab=ba
Associative Property of Addition - Answers (a+b)+c=a+(b+c)
Associative Property of Multiplication - Answers (ab)c=a(bc)
Distributive Property - Answers a(b + c) = ab + ac
Additive Identity Property - Answers a+0=a
Multiplicative Identity Property - Answers a * 1 = a
Additive Inverse Property - Answers a+(-a)=0
Multiplicative Inverse(Reciprocal) Property - Answers a(1/a)=1
Reflective Property of Equality - Answers a=a
Symmetric Property of Equality - Answers if a=b, then b=a
Transitive Property of Equality - Answers If a=b and b=c, then a=c
Transitive Property of Order - Answers If a < b and b < c, then a < c.
If a > b and b > c, then a > c.
Subsitution Property of Equality - Answers If a=b, then b can replace a in any expression
Trichotomy Axiom - Answers For all real numbers a and b, either a=b, a>b, or a<b
Multiplicative Axiom of -1 - Answers -1*a=-a
Multiplicative Axiom of 0 - Answers a * 0 = 0
Definition of Subtraction - Answers a - b = a + (-b)
Definition of Division - Answers a/b=a(1/b)
complex number - Answers any number that can be written in the form a+bi, where a and b are real
numbers and i is the imaginary unit
real numbers - Answers the set of all rational and irrational numbers
Closure Axiom of Addition - Answers a+b is a real number
Closure Axiom of Multiplication - Answers ab is a real number
Communitive property of addition - Answers a+b=b+a
communative property of multiplication - Answers ab=ba
Associative Property of Addition - Answers (a+b)+c=a+(b+c)
Associative Property of Multiplication - Answers (ab)c=a(bc)
Distributive Property - Answers a(b + c) = ab + ac
Additive Identity Property - Answers a+0=a
Multiplicative Identity Property - Answers a * 1 = a
Additive Inverse Property - Answers a+(-a)=0
Multiplicative Inverse(Reciprocal) Property - Answers a(1/a)=1
Reflective Property of Equality - Answers a=a
Symmetric Property of Equality - Answers if a=b, then b=a
Transitive Property of Equality - Answers If a=b and b=c, then a=c
Transitive Property of Order - Answers If a < b and b < c, then a < c.
If a > b and b > c, then a > c.
Subsitution Property of Equality - Answers If a=b, then b can replace a in any expression
Trichotomy Axiom - Answers For all real numbers a and b, either a=b, a>b, or a<b
Multiplicative Axiom of -1 - Answers -1*a=-a
Multiplicative Axiom of 0 - Answers a * 0 = 0
Definition of Subtraction - Answers a - b = a + (-b)
Definition of Division - Answers a/b=a(1/b)
complex number - Answers any number that can be written in the form a+bi, where a and b are real
numbers and i is the imaginary unit
real numbers - Answers the set of all rational and irrational numbers
