Conditional Statements
What is the converse of:
If it is cold, then it is snowing.
What is...
If it is snowing, then it is cold.
What property says...
if a=b and b=c, then a=c.
Transitive Property.
Determine the hypothesis for the following statement.
"If you get your permit, you are 16 years old."
p: You get your permit.
Identify the property that justifies each statement.
418 = 418
Reflexive Property of Equality.
Construct a conditional statement from the given.
I studied for 3 hours and I got an A on the test.
What is...
If I study for 3 hours, then I will get an A on the test.
Choose the property that justifies the following.
-3x+5+2x=12 and x=4
-3(4)+5+2x=12
Substitution Property of Equality
Identify the conclusion of the following conditional statement.
"If you have an elective at Bullard, then you are taking a Spanish class."
q: You are taking a Spanish class.
Identify the property that justifies each statement.
8x - 29 = -5
8x = 24
Addition Property of Equality
Construct an inverse from the given conditional statement...
If it is a ripe banana, then it is yellow.
If it is not a ripe banana, then it is not yellow.
What property justifies the following statement...
If AB=CD and CD=EF, then AB=EF.
Transitive Property of Equality
The letters used to determine hypothesis and conclusion is...
p and q
What is the first reason in an Algebraic Proof?
What type of related conditional statement is the statement formed by negating the converse of the conditional statement?
Contrapositive Statement.
What property justifies the following...
3 (4x + 1) = 15
12x + 3 = 15
Distributive Property of Equality
Rewrite the statements in if-then form.
"Puppies under 4 months need their vaccinations"
Identify the property that justifies each statement.
4 = x
x = 4
Symmetric Property of Equality
Construct a contrapositive for the following statement...
I went to the dentist, so I do not get cavities.
If I get cavities, then I did not go to the dentist.
Choose the property that justifies the next statement,
If PL = RT, then RT = PL
Symmetric Property of Equality
Write the inverse of the conditional statement.
"If a figure is a rectangle, then it has two congruent angles."
If a figure is not a rectangle, then it does not have two congruent angles.
Identify the property that justifies each statement.
-3x - 5 + 7 = -10x - 12
-3x + 2 = -10x - 12
Combine Like terms, Simplify