Mathematics 8_ST

What do you call statements that are assumed to be true and do not need proof?

• axioms

• defined terms                             

• theorems

• undefined terms

Which of the following is the multiplicative inverse of 2𝑥/3?

• 2𝑥/3               

• 3/2𝑥               

• −3/2𝑥               

• −2𝑥/ 3

Which statement is true?

• 3/4 is an integer.

• −5 is a natural number.

• Integers are rational numbers.

• Rational numbers are also irrational numbers.

What axiom is illustrated in the statement, If 𝐴 = 𝐵, 𝐵 = 𝐶, then 𝐴 = 𝐶?

• multiplication

• reflexive 

• symmetric

• transitive

Which of the following illustrates symmetric property?

• If 𝑎 = 𝑏, then 𝑏 = 𝑎.

• If 𝑎 = 𝑏, then 𝑎𝑐 = 𝑏𝑐

• If 𝑎 = 𝑏, then 𝑎 + 𝑐 = 𝑏 + 𝑐.

• If 𝑎 = 𝑏 and 𝑏 = 𝑐, then 𝑎 = 𝑐.

Using the distributive property, 5 (𝑥 + 𝑦) = _____.

•                5x+y             

• y+5x

• 5x+5y

• 5+x+y

Name the property which justifies the following conclusion. Given: If 2𝑥 + 3 = 10 Conclusion: then 2𝑥 = 7

• Addition property of equality

• Multiplication property of equality

• Reflexive property

• Transitive property

There are four parts of the Mathematical system. Which of the following is not a part of the mathematical system?

• corollary

• theorems

• axioms or postulate

• defined and undefined terms

Which of the following statements is true about axioms or postulates?

• These are concepts that need to be defined.

• These are statements accepted after it is proved deductively.

• These are concepts that can be defined using the undefined terms.

• These are statements assumed to be true and need no further proof.

Which of the following statements is true about a postulate?

• It is never accepted to be true.

• It is accepted as true without a formal proof.

• It is only accepted as true after being formally proven.

• It is usually not obvious as true, so it must be proven.