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1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
a conjecture |
B. |
guessing |
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C. |
deductive reasoning |
D. |
inductive reasoning |
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Hint |
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2. |
''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. |
The sum of 8 and 24 must be odd. |
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B. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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C. |
If the numbers 8 and 24 are even, then their sum is 32. |
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D. |
The sum of 8 and 24 must be even. |
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Hint |
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3. |
What is the negation of the conclusion of the following conditional? All birds can fly. |
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A. |
It is a bird |
B. |
It is not a bird. |
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C. |
It can fly. |
D. |
It cannot fly. |
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Hint |
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4. |
What is a valid conclusion to the following hypothesis? If there are two points... |
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A. |
There is one line containing both points. |
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B. |
There are no lines containing both points. |
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C. |
There are an infinite number of lines containing both points. |
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D. |
There are two lines containing both points. |
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Hint |
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5. |
''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment? |
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A. |
Both 1 and 2 are obtuse. |
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B. |
1 and 2 are congruent. |
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C. |
1 and 2 are not congruent. |
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D. |
1 and 2 both have a measure of 45. |
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Hint |
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6. |
Which statement explains why  |
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A. |
All right angles are congruent. |
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B. |
If the sum of the measures of two angles is 180, then they are supplementary. |
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C. |
If two angles form a linear pair, then they are supplementary. |
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D. |
Angles supplementary to the same angle are congruent. |
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Hint |
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7. |
Two angles are congruent if they are ______. |
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A. |
supplementary |
B. |
a linear pair |
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C. |
vertical |
D. |
adjacent |
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Hint |
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8. |
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 = 21, y = 3 |
B. |
x = 12, y = 6 |
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C. |
x = 7, y = 12 |
D. |
x = 10, y = 9 |
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Hint |
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9. |
Identify the hypothesis in the following algebraic statement: If 3x + 10 = 13, then x = 1. |
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A. |
3x + 10 |
B. |
x = 1 |
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C. |
3x |
D. |
3x + 10 = 13 |
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Hint |
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10. |
Which notation is not correct notation to define a set? |
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A. |
W = set of integers |
B. |
W = {x|x is an integer} |
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C. |
W represents an integer |
D. |
W = {... -2, -1, 0, 1, 2 ...} |
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Hint |
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11. |
Which answer shows all the possible subsets of {2,4,5}? |
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A. |
{2,4,5},{2}, {4}, {5}, |
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B. |
{2,4,5},{2}, {4}, {5}, {2,4}, {2,5}, {4,5} |
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C. |
{2,4,5},{2}, {4}, {5}, {2,4}, {2,5}, {4,5}, |
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D. |
{2}, {4}, {5}, {2,4}, {2,5}, {4,5}, |
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Hint |
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12. |
If A= {0,1,2,3,4}, B={2,4,6,8} and C= {-3, -2, -1, 0}, find  |
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A. |
{0} |
B. |
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C. |
{-3, -2, -1, 0 ,1, 2, 3, 4} |
D. |
{-3, -2, -1, 0, 2, 4, 6, 8} |
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Hint |
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13. |
If and Which shows  |
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A. |
{1,3} |
B. |
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C. |
{-2, -1, 0, 1, 3} |
D. |
{-2, -1, 0, 1, 3, 5} |
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Hint |
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14. |
What is the inverse of the conditional If it is September, then there are 30 days in the month? |
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A. |
If there are 30 day in the month, then it is September. |
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B. |
If it is September then there are not 30 days in the month. |
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C. |
If there are not 30 days in the month, then it is not September. |
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D. |
If it is not September then there are not 30 days in the month. |
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Hint |
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