Make a valid conclusion.
If you save $30, then you can buy a CD player. You have saved $30.
You can buy a CD player.
100
Write the converse of this statement:
If x>4, then x>0.
If x>0, then x>4.
100
Write the next three numbers in the pattern.
0,1,3,6
10,15,21
100
An unproven statement that is based on observations.
Conjecture
200
If the product of two numbers is positive, then the two numbers must both be positive.
-2 * -1 = 2
200
If 6x=30, then x=5. If x=5, then 2x=10.
If 6x=30, then 2x=10.
Law of Syllogism
200
Write the if-then conditional statement:
Ants are insects.
If it is an ant, then it is an insect.
200
Write the next three numbers in the pattern.
2,4,8,16
32,64,128
200
A statement that contains the phrase if and only if.
Biconditional
300
If the product of two even numbers is even, then the two numbers must both be even.
3*6=18
300
If the light is on, then someone is home. The light is on.
Someone is home
Law of Detachment
300
Rewrite the statement as a biconditional statement:
If Mary is in theater class, then she will be in the fall play. If Mary is in the fall play, then she must be taking theater class.
Mary is in the theater class iff she will be in the fall play.
300
Write the next three numbers in the pattern.
0,1,4,9...
16,25,36
300
The negation of both the hypothesis and conclusion in a conditional statement.
The Inverse
400
The value of x^3 is always greater than the value of x.
1^3 = 1
400
The liberty bell is located in Philadelphia, Pennsylvania. Rob has never been to Pennsylvania.
Rob has never seen the Liberty Bell.
400
For the given statement, write the contrapositive.
If two angles are complementary, then they add to 90.
If two angles do not add to 90, the they are not complementary.
400
Write the next three numbers in the pattern:
3,6,12...
24,48,96
400
If hypothesis p, then conclusion q.
If hypothesis q, then conclusion r.
then the following statement is true.
If hypothesis p, then conclusion r.
Law of Syllogism
500
The sum of any two prime numbers is always even.
2+3=5
500
If you are a musician, then you are a band member. If you are a band member, then you march in the parade.
If you are a musician, then you march in the parade.
500
Write the inverse of the given statement:
If a polygon has five sides, then it is a regular polygon.
If a polygon does not have five sides, then it is not a regular polygon.
500
Write the next three numbers in the pattern:
1,4,8,...
13,19,26
500
If the hypothesis of a true conditional statement is true, then the conclusion is also true.