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1. |
Determine the converse of the following if-then statement.
If the flowers are yellow, then they are daffodils. |
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A. |
If the flowers are not yellow, then they are not daffodils. |
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B. |
The flowers are not daffodils. |
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C. |
If the flowers are daffodils, then they are yellow. |
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D. |
The flowers are not yellow. |
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Hint |
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2. |
Write the inverse of the conditional ''If Deanna eats the last cookie, then Leon will buy more.'' |
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A. |
If Deanna does not eat the last cookie, then Leon will buy more. |
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B. |
If Deanna eats the last cookie, then Leon will not buy more. |
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C. |
If Leon does not buy more, then Deanna did not eat the last cookie. |
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D. |
If Deanna does not eat the last cookie, then Leon will not buy more. |
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Hint |
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3. |
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. |
deductive reasoning |
B. |
reasonable doubt |
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C. |
detachment reasoning |
D. |
inductive reasoning |
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Hint |
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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. |
Angles complementary to the same angle or to congruent angles are congruent. |
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C. |
All right angles are congruent. |
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D. |
Vertical angles are congruent. |
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Hint |
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5. |
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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6. |
Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. |
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A. |
WXYZ has four right angles. |
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B. |
If WXYZ has four right angles, then it is a square. |
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C. |
If WXYZ is not a square, then it does not have four right angles. |
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D. |
If WXYZ is not a square, then it has four right angles. |
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Hint |
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7. |
Identify the hypothesis in the following algebraic statement:
If 3x + 10 = 13, then x = 1. |
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A. |
3x + 10 = 13 |
B. |
x = 1 |
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C. |
3x |
D. |
3x + 10 |
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Hint |
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8. |
Find the next three terms in the sequence 10, 15, 25, 40, …. |
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A. |
65, 100, 145 |
B. |
55, 70, 85 |
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C. |
45, 50, 55 |
D. |
60, 85, 115 |
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Hint |
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9. |
How is  read? |
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A. |
A is an element of B. |
B. |
B is an element of A. |
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C. |
A is a subset of B. |
D. |
B is a subset of A. |
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Hint |
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10. |
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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11. |
If A = {-2, -1, 0, 1, 2} and a subset of A, B = {-2, -1}, what is B'? |
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A. |
B'={-2,-1} |
B. |
B'={1,2,3} |
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C. |
B'={-2,-1,0,1,2,3} |
D. |
B'={0,1,2} |
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Hint |
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12. |
If and  Which shows  |
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A. |
{1,3} |
B. |
{-2, -1, 0, 1, 3} |
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C. |
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D. |
{-2, -1, 0, 1, 3, 5} |
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Hint |
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13. |
What is the converse of the conditional If it is September, then there are 30 days in the month? |
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A. |
If it is September then there are not 30 days in the month. |
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B. |
If there are not 30 days in the month, then it is not September. |
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C. |
If there are 30 day in the month, then it is 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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14. |
Using the diagram, if XY = WZ, what logical conclusion can be drawn? |
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A. |
XW = YZ |
B. |
XY + WZ = WY |
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C. |
XY = 2WZ |
D. |
YW – WZ = XY |
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Hint |
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