Mathematical System

What is the additive inverse of 4?

• 4

• -4

• 1/4

• -(1/4)

What is 12 x 4?

• 16

• 48

• 24

Find the value of x.

4x=24

• 8

• 6

• 12

What axiom is being used to justify the statement below?

2( −𝑎 + 5) = (2)(−𝑎) + (2)(5)

• Commutative Axiom

• Associative Axiom

• Distributive Axiom

• Reflexive axiom

What is 23 x 3?

• 69

• 36

• 26

• 96

What axiom is being used to justify the statement below?

(𝑥 + 5) + 2 = 𝑥 + (5 + 2)

• Distributive Axiom

• Associative Axiom

• Multiplicative Inverse

• Additive Inverse

What do you call to statements or facts that are accepted to be true and don't need to be proven?

• Axioms or postulates

• Theorems

What axiom is being used to justify the statement below?

−4 + 4 = 𝑚 + 4

• Addition Axiom

• Existence of additive inverse

• Multiplication axiom

• Existence of multiplicative inverse

Which of the following is a commutative axiom?

• 2 + 3 = 3 + 2

• 2 ∙ 3 = 2 ∙ 3

• (2 + 3) = 2(3) + 3(2)

• 2 + 3 = 2 + 3

What is 42 divided by 2?

• 84

• 44

• 21

• 12