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1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
inductive reasoning |
B. |
guessing |
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C. |
deductive reasoning |
D. |
a conjecture |
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2. |
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. |
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A. |
detachment reasoning |
B. |
deductive reasoning |
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C. |
inductive reasoning |
D. |
reasonable doubt |
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Hint |
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3. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
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A. |
If the numbers 8 and 24 are even, then their sum is 32. |
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B. |
The sum of 8 and 24 must be even. |
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C. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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D. |
The sum of 8 and 24 must be odd. |
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4. |
Which statement explains why  |
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A. |
Angles adjacent to the same angle or to congruent angles are congruent. |
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B. |
Vertical angles are congruent. |
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C. |
All right angles are congruent. |
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D. |
Angles complementary to the same angle or to congruent angles are congruent. |
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5. |
A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information? |
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A. |
The team was undefeated. |
B. |
The team won their last 5 games. |
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C. |
The team finished 5th in their conference. |
D. |
The team played 19 games.. |
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6. |
In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part. |
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A. |
converse, negation |
B. |
hypothesis, converse |
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C. |
converse, inverse |
D. |
inverse, negation |
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Hint |
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7. |
What is the negation of the conclusion of the following conditional?
All birds can fly. |
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A. |
It cannot fly. |
B. |
It can fly. |
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C. |
It is not a bird. |
D. |
It is a bird |
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8. |
Which statement is not true in the picture? |
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A. |
If  and  are complementary and and  are complementary, then  |
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B. |
If  then |
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C. |
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D. |
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9. |
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 = 12, y = 6 |
B. |
x = 7, y = 12 |
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C. |
x = 21, y = 3 |
D. |
x = 10, y = 9 |
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Hint |
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10. |
Which of the following is a counterexample to the statement 8k – 1 = 9r for all k, where k and r are integers? |
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A. |
(84 – 1) ÷ 9 = 455 |
B. |
8(8k) = 8(9r + 1) |
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C. |
83 – 1 = 511, 511 ÷ 9 = 56.8 |
D. |
8 = 9 – 1 |
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11. |
A well-defined collection of items is called a ___?___. |
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A. |
element |
B. |
member |
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C. |
complement |
D. |
set |
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12. |
How many possible subsets does {a, b, c} have? |
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A. |
9 |
B. |
12 |
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C. |
7 |
D. |
8 |
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13. |
If A={0,1,2,3,4}, B={2,4,6,8} and C={ }, find  |
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A. |
{2,4} |
B. |
{0,1,2,3,4, 6,7,8} |
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C. |
{2,4,6,8} |
D. |
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14. |
If A= {0,1,2,3,4}, B={2,4,6,8} and C= {-3, -2, -1, 0}, find |
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A. |
{-3, -2, -1, 0} |
B. |
{2,4,6,8} |
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C. |
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D. |
{-3, -2, -1, 0, 2, 4, 6, 8} |
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Hint |
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