ge 3 midterm exam

A binary operation is an operation that combines _______.

• one element

• two elements

• three elements

• four elements

Which of the following is a binary operation on the set of integers?

• Division

• Subtraction

• Square root

• Factorial

The symbol “*” is defined on integers by a*b=a+b–1. What is 3*5?

• 7

• 8

• 9

• 10

The operation of addition on integers is _______.

• Commutative

• Non-commutative

• Non-associative

• Undefined

A binary operation must be _______ on a set.

• Open

• Closed

• Finite

• None of the above

If a*b=a²+b², find 2*3.

• 11

• 12

• 13

• 14

The associative property means that _______.

• Changing order changes result

• Grouping does not affect result

• Grouping affects result

• Order of operation must change

Polya’s first step in problem solving is _______.

• Devise a plan

• Understand the problem

• Carry out the plan

• Look back

Which of the following is NOT part of Polya’s four steps?

• A. Guessing

• B. Understanding

• C. Planning

• D. Reviewing

Drawing a diagram is useful in _______ problems.

• Verbal

• Abstract

• Visual

• Logical