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1. |
If-then statements are also called ______________. |
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A. |
conditionals |
B. |
hypotheses |
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C. |
conclusions |
D. |
reasons |
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Hint |
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2. |
Identify the hypothesis of the following if-then statement.
If Ralph does his math homework, then he will get a good grade on the quiz. |
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A. |
Ralph does his math homework. |
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B. |
He will get a good grade on the quiz. |
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C. |
He will not get a good grade on the quiz. |
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D. |
Ralph may do his math homework. |
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Hint |
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3. |
To show that a conjecture is false, you need to provide one _____. |
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A. |
guess |
B. |
possibility |
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C. |
counterexample |
D. |
theorem |
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Hint |
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4. |
Which values are a counterexample to the given statement?
If x + y = an even number, then x is even and y is even. |
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A. |
x = 7, y = 12 |
B. |
x = 10, y = 9 |
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C. |
x = 21, y = 3 |
D. |
x = 12, y = 6 |
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Hint |
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5. |
Which values are a counterexample to the given statement?
If x × y = 0, then x must be 0. |
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A. |
x = 5, y = 0 |
B. |
x = -1, y = 1 |
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C. |
x = 0, y = 0 |
D. |
x = 0, y = 1 |
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Hint |
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