GEOMETRY TEST #3: LOGIC

What is the rule for this pattern?
1st term:32
2nd term:36
3rd term:40

• 4x+28
• 4x+32
• x+4
• 4x

Tags

CCSS.HSF.BF.A.2

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

Complete the conjecture.  Think of examples to help.
The product of any two odd numbers is _____________

• even
• odd
• zero
• positive

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

Making conclusions based on observations and patterns.

• Inductive reasoning
• Counterexample
• Conjecture
• Experiments

Give the conjecture for the following sequence:
9,6,3,0...

• To find the next term, subtract 3
• To find the next term, divide by 3
• To find the next term, divide by 3 and add 3

Tags

CCSS.HSF.BF.A.2

If "a" represents "Brent works this summer" and "b" represents "Brent takes a vacation" which symbols best represent the statement "If Brent works this summer then he will not take a vacation."

• a → b

• a ⋀ b

• a → ~ b

• a ⋀ ~ b

If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "If two angles are not congruent, then the angles are not vertical angles."

• a → b

• ~a → ~b

• b → a

• ~b → ~a

Tags

CCSS.7.G.B.5

Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

• television
• cell phone
• computer mouse
• keyboard

What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”

• If Shelly lives in Texas, then she lives in the United States.
• If Shelly lives in the United States, then she lives in Texas.
• Shelly lives in Texas if and only if she lives in the United States.
• If Shelly does not live in Texas, then she does not live in the United States.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.3