2.1-2.3

Question 1

A process in which you decide that a statement is true based on observing specific examples

Answer 1

Inductive

Question 2

Find the next item
January, March, May, …

Answer 2

July

Question 3

Find the next item
7, 14, 21, 28, …

Answer 3

36

Question 4

A process in which you decide a statement is true based on facts, definitions and properties

Answer 4

Deductive

Question 5

A statement you believe to be true based on inductive reasoning

Answer 5

conjecture

Question 6

make this into a conjecture
the sum of two positive numbers ——–

Answer 6

is positive

Question 7

An example that shows a conjecture is false

Answer 7

counter example

Question 8

A statement that can be written in “if-then” form

Answer 8

Conditional statement

Question 9

“If it is raining outside, then I will carry an umbrella” is a

Answer 9

Conditional statement

Question 10

The “if” part of a conditional statement is the

Answer 10

Hypothesis

Question 11

The “then” part of a conditional statement is the

Answer 11

Conclusion

Question 12

Identify the hypothesis
“If today is Thanksgiving, then it is Thursday”

Answer 12

Today is thanksgiving

Question 13

Identify the conclusion
“if today is Thanksgiving, then it is Thursday”

Answer 13

It is thursday

Question 14

Formed by switching the hypothesis and conclusion of a conditional statement

Answer 14

Converse

Question 15

Formed by negating the hypothesis and conclusion of a conditional statement

Answer 15

Inverse

Question 16

Formed by switching the hypothesis and conclusion and negating each of them in a conditional statement

Answer 16

Contrapositive

Question 17

A statement formed by combining a statement and its converse. It will be written in the form “if and only if”

Answer 17

Biconditional

Question 18

if a=b then a+c=b+c

Answer 18

addition property

Question 19

a(b+c)=ab or ab-ac=a(b-c)

Answer 19

distributive property

Question 19

if a=b then a-c=b-c

Answer 19

subtraction property

Question 20

a=a

Answer 20

reflexive property

Question 21

if a=b then b=a

Answer 21

symmetric property

Question 22

if a=b and b=c then a=c

Answer 22

transitive property

Question 23

if a=b then b can replace a in any expression

Answer 23

substitution property