Conditional Statements
Rewrite the following statements as a conditional statement using "if, then" correctly.
A quadrilateral has 4 sides.
If the shape is a quadrilateral, then it has 4 sides.
Describe the pattern and identify the next 2 terms.
11, 17, 23, 29....
Add 6... 35, 41
Determine the truth value of the following statement. If false, provide a counter example.
If the product of two numbers if positive, then the two numbers must be negative.
False: 2*3
Support the conclusion with a valid reason.
Given: 5x=45
Conclusion: x=9
Division Property of Equality
Negation of the If/Then conditional statement.
Inverse
Rewrite the following statements as a conditional statement using "if, then" correctly.
You can get a driver's license when you turn 16.
If you are 16, then you can get a driver's license.
Describe the pattern and identify the next 2 terms.
1, 3, 6, 10, 15...
Add consecutive numbers. +2, +3, +4, +5...21, 28
Determine the truth value of the following statement. If false, provide a counter example.
All prime numbers are odd.
False: 2
Support the conclusion with a valid reason.
Given: 2(x+4)=64
Conclusion: 2x+8=64
Distribution Property
Exchange the hypothesis and conclusion in an if/then conditional statement.
Converse
Given the following conditional statement, what is the inverse?
If a figure is a square, then it has 4 sides.
If a shape is not a square, then it does not have 4 sides.
Describe the pattern and identify the next 2 terms.
0.45, 0.7, 0.95, 1.2...
Add 0.25. 1.45, 1.7
Determine the truth value of the following statement. If false, provide a counter example.
The product of an even integer and any other integer is an even integer.
True
Support the conclusion with a valid reason.
Given: 6x+2=12
Conclusion: 6x=10
Subtraction Property of Equality
Negation the converse of an if/then conditional statement.
Contrapositive.
Given the following conditional statement, what is the converse?
If I have a smile on my face, then it must be Friday.
If it is Friday, then I have a smile on my face.
Describe the pattern and identify the next 2 terms.
2, 20, 10, 100, 50...
Multiply by 10, divide by 2. 250, 2500
Determine the truth value of the following statement. If false, provide a counter example.
If x is an integer, then x2 is positive.
False: -22
Support the conclusion with a valid reason.
Given: 23=x
Conclusion: x=23
Symmetric Property
y=j and j=-13, y=-13
Transitive Property
Given the following conditional statement, what is the contrapositive?
If a figure has 3 angles, then it is a triangle.
If the figure is not a triangle, then it must not have 3 angles.
Describe the pattern and identify the next 2 terms.
1, 8, 27, 64, 125...
Perfect cubes.. 216, 343
Determine the truth value of the following statement. If false, provide a counter example.
The sum of two numbers is always greater than the larger number.
False: -3+9
Support the conclusion with a valid reason.
If 14=A and A=B, then B=14.
Transitive Property
30=30