Algebraic Proofs
If 3x = 12, then x = 4
Division Property
State the HYPOTHESIS:
If it is Tuesday, then I have field hockey.
It is Tuesday
I/D? - Gas prices have gone down every day this week. Gas prices will go down tomorrow.
Inductive
x = 5
Where did I go to college?
St. Joseph's University
If 3(x-2) = 4, then 3x - 6 = 4
Distributive Property
Write the converse:
If it is raining, then I will wear boots.
If I wear boots, then it is raining.
Name the next in the pattern: 2, -4, 6, -8, _______
10
DAILY DOUBLE
3(x + 1) + 4x = 6x
x = -3
What is my favorite chocolate bar?
Reese's Pumpkins, Kit Kat
3 + (2 + 7) = (2 + 3) + 7
Associative Property
What type of statement uses the symbols: ~q --> ~p
Contrapositive
I/D? - Jim has 20 pencils, he gave half to Susie. Jim has 10 pencils left.
DAILY DOUBLE:
Which property states that 13 + -13 = 0
Additive Inverse Property
If I wasn't a teacher, what would I want to be?
Chef
If <A = 45, then, <A - 15 = 30
Subtraction Property
State the conclusion based on Law of Syllogism:
If you wear school colors, then you have school spirit.
If you have school spirit, then you feel great.
If you wear school colors, then you feel great.
If you wear school colors, then you feel great.
State T or F. Provide a counterexample if false:
If an angle is less that 180 degrees, then it is obtuse
F - 45 degrees
Solve: 10x + 3 = 23
x = 2
What year was I born?
1988
1/3 x 3x = x
Multiplicative Inverse
Which two statements MUST be true in order to create a biconditional?
Conditional and Converse
DAILY DOUBLE:
If the CONVERSE is: If I go to school, then I will have a test. Find the contrapositive.
If I do not go to school, then I will not have a test.
Which property states that if x = 6, then 0x = 0.
Black