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- 1. Multiple Choice
Conjectures, like theorems, have been proven to be true.
True
False
- 2. Multiple Choice
No number of examples or cases can fully prove a conjecture.
True
False
- 3. Multiple Choice
A counterexample is an example that proves a conjecture to be true.
True
False
- 4. Multiple Choice
To fully disprove a conjecture, one needs to find only ONE counterexample.
True
False
- 5. Multiple Choice
Which of the following is a counterexample to the following conjecture? If , then x = 2
x = 4
x = -2
x = 2
x = -4
- 6. Multiple Choice
Which number is a counterexample to the following statement?
For all numbers a, 2a + 7a = 6
a = 0
a = 5
a = 1
- 7. Multiple Choice
Which numbers are not counterexamples for the following statement?
For any numbers a and b,a = 8, b = 4
a = 10, b = 5
a = 6, b = 3
a = 4, b = 2
- 8. Multiple ChoiceWhich of the following conjectures is false?The product of two even numbers is even.The sum of two even numbers is even.The product of two odd numbers is odd.The sum of two odd numbers is odd.
- 9. Multiple ChoiceComplete the conjecture.
The sum of two negative numbers is ___________.positivenegativeoddeven - 10. Multiple ChoiceWhich is a counterexample of: If a four sided shape has two sides the same length, then it must be a rectangle.quadrilateralrectanglesquaretriangle
- 11. Multiple ChoiceWhich of the following conjectures is false?The product of two even numbers is even.The sum of two even numbers is even.the product of two odd numbers is odd.The sum of two odd numbers is odd.
- 12. Multiple ChoiceWhich is a counterexample of: Any number divisible by 2 is divisible by 4.15÷220÷416÷410÷2
- 13. Multiple Choice
For a conjecture to be true, it must be true...
in most cases.
in all cases.
on Thursday mornings.
at least once.
- 14. Multiple ChoiceIf it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?2/34/51/23/2
- 15. Multiple ChoiceDetermine if this conjecture is true. If not, give a counterexample.
The difference of two negative numbers is a negative number.truefalse; -11 - (-13) = 2false; -7 - (-5) = 2false; -19 - (-17) - 16. Multiple ChoiceInductive Reasoning means...GuessingTesting and observing patterns to make conjecturesExplaining whyUra nok seblu!
- 17. Multiple ChoiceUsed to prove that a conjecture is false.CounterexampleInductive ReasoningConcluding statementConjecture
- 18. Multiple ChoiceWhich is a counterexample of: The difference of two numbers is less than the greater number.(5) - (2) = 3(-5) - (4) = -9(2) - 0 = 2(3) - (3) = 0
- Answer choicesTagsAnswer choicesTags