[Part 2] Midterm Exam in MATH 153 - 51-100

A _____ is an ancillary theorem whose results is not for the proof.

• postulate
• lemma
• hypothesis
• conclusion

Statements that are accepted without discussion or proof are called axioms. The word “axiom” comes from the Greek “axioma” which means _____.

• worth
• correct
• true
• perfect

In mathematical and other fields of logical reasoning, axioms are used as basis for the formulation of statements called _____.

• lemma
• hypothesis
• postulate
• theorem

“The product of two or more number is the same in whatever order they are multiplied “. This refers to _____.

• Associative law of addition
• associative law of multiplication
• commutative law of multiplication
• distributive law of multiplication

If a = b, then b can replace a in any equation. This illustrates what law of identity?

• Reflexive law
• Law of symmetry
• Transitive law
• Substitution law

If a = a, then it illustrates what law of identity?

• reflexive law
• law of symmetry
• transitive law
• substitution law

If a = b and b = c, then a = c this illustrates _____.

• reflexive law
• law of symmetry
• transitive law
• substitution law

Any equation which, because of some mathematical process, has fewer roots than its original is sometimes called as _____.

• redundant equation
• literal equation
• linear equation
• defective equation

An algebraic expression which can be represented as a quotient of two polynomials.

• Irrational algebraic equation
• Reduced algebraic expression
• Rational algebraic equation
• Complex algebraic equation

A statement containing one or more variables and having the property that it becomes either true or false when the variables are given specific values from their domains.

• solution
• problem
• open sentence
• worded problem