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1. |
Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music? |
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A. |
Her favorite station has changed their morning program to include country music. |
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B. |
Someone used her car during the weekend and changed the station. |
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C. |
A country music station bought out her favorite music station over the weekend. |
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D. |
All statements are valid conjectures. |
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Hint |
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2. |
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 won their last 5 games. |
B. |
The team played 19 games.. |
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C. |
The team was undefeated. |
D. |
The team finished 5th in their conference. |
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Hint |
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3. |
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. |
hypothesis, converse |
B. |
converse, inverse |
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C. |
inverse, negation |
D. |
converse, negation |
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Hint |
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4. |
Which statement is not true in the picture? |
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A. |
If  then  |
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B. |
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C. |
If  and  are complementary and and  are complementary, then |
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D. |
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Hint |
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5. |
Two angles are congruent if they are ______. |
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A. |
vertical |
B. |
supplementary |
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C. |
a linear pair |
D. |
adjacent |
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Hint |
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6. |
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 = 12, y = 6 |
D. |
x = 21, y = 3 |
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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. |
x = 1 |
B. |
3x + 10 = 13 |
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C. |
3x + 10 |
D. |
3x |
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Hint |
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8. |
A well-defined collection of items is called a ___?___. |
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A. |
complement |
B. |
set |
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C. |
element |
D. |
member |
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Hint |
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9. |
Which answer shows all the possible subsets of {3,7}? |
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A. |
{3}, {7}, |
B. |
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C. |
{3,7}, |
D. |
{3,7}, {3}, {7}, |
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Hint |
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10. |
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, 2, 4, 6, 8} |
B. |
{2,4,6,8} |
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C. |
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D. |
{-3, -2, -1, 0} |
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Hint |
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11. |
If A = {12, 13, 14, 16, 18} and B = {1, 2, 3, 4, 5, 6}. Which shows A B? |
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A. |
{12, 13, 14, 16, 18} |
B. |
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C. |
{1, 2, 3, 4, 5, 6} |
D. |
{1,2,3,4,5,6,12,13} |
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Hint |
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12. |
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 it is not September then there are not 30 days in the month. |
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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 there are 30 day in the month, then it is September. |
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Hint |
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13. |
Using the following conditional, which conclusion would follow from the Law of the Contrapositive? State if it is valid or invalid. If two angles are vertical angles then they are congruent. |
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A. |
The angles are not vertical angles; invalid |
B. |
The angles are vertical angles; valid |
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C. |
The angles are vertical angles; invalid |
D. |
The angles are not vertical angles; valid |
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Hint |
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14. |
Using the following conditional, which conclusion would follow from the Law of the Contrapositive? State if it is valid or invalid. If an angle is 20° then it is obtuse. |
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A. |
The angle is obtuse; valid |
B. |
The angle is not 120°; invalid |
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C. |
The angle is not 120°; valid |
D. |
The angle is obtuse; invalid |
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Hint |
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