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1. |
You have scores of 62, 75, and 90 on three of your history exams. What do you need to get on your fourth exam for a mean of 80? |
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A. |
80 |
B. |
93 |
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C. |
97 |
D. |
100 |
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Hint |
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2. |
Find the measures of two supplementary angles, and  if  and  |
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A. |
36, 144 |
B. |
39, 141 |
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C. |
37, 143 |
D. |
38, 142 |
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Hint |
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3. |
Daniel wants to send Jasmine flowers for her birthday. At the flower store, he can choose between roses, irises, or carnations. The salesperson tells Daniel that 50% of the customers buy roses, 30% buy carnations, and 20% buy irises. Which of the following is a valid conjecture? |
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A. |
Jasmine will be excited to receive flowers for her birthday. |
B. |
More customers buy roses than carnations. |
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C. |
Daniel will buy Jasmine irises. |
D. |
The salesperson likes carnations. |
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Hint |
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4. |
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. |
detachment reasoning |
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C. |
reasonable doubt |
D. |
inductive reasoning |
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Hint |
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5. |
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral. |
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A. |
If an object is a square, then it is an equilateral. |
B. |
An object is a rhombus. |
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C. |
If an object is an equilateral, then it is a square. |
D. |
An object is a square. |
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Hint |
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6. |
For the proof shown, provide statement 5. |
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A. |
AB = DE |
B. |
AC = DF |
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C. |
BC = EF |
D. |
AB = EF |
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Hint |
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7. |
If  and  are vertical angles and  and  find  |
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A. |
72 |
B. |
68 |
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C. |
43 |
D. |
23 |
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Hint |
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8. |
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 played 19 games.. |
B. |
The team was undefeated. |
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C. |
The team finished 5th in their conference. |
D. |
The team won their last 5 games. |
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Hint |
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9. |
Name the property that justifies the statement. ''If 2x = 12, then x = 6''. |
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A. |
Division Property (=) |
B. |
Symmetric Property |
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C. |
Multiplication Property (=) |
D. |
Transitive Property (=) |
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Hint |
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10. |
Which is an example of the Symmetric Property? |
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A. |
If 0.2 =  , then = 0.2 |
B. |
5(6 - 2) = 30 - 10 |
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C. |
If 2x = 12, then x = 6 |
D. |
2x = 2x |
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Hint |
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11. |
If  1 and 2 form a linear pair and m1 = 2x + 16 and
m2 = 50x + 60, find m2. |
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A. |
160 |
B. |
180 |
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C. |
80 |
D. |
20 |
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Hint |
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12. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
negation |
B. |
disjunction |
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C. |
truth value |
D. |
conjunction |
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Hint |
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13. |
Construct a truth table for  p q. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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14. |
Which statement is the inverse of the statement angles with the same measure are congruent? |
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A. |
If two angles do not have the same measure, then they are not congruent. |
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B. |
If two angles are not congruent, then they do not have the same measure. |
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C. |
If two angles have the same measure, then they are congruent. |
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D. |
If two angles are congruent, then they have the same measure. |
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Hint |
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15. |
Write the contrapositive of the statement a right angle measures 90 degrees. |
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A. |
If an angle does not measure 90 degrees, then it is not a right angle. |
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B. |
If an angle is a right angle, then it measures 90 degrees. |
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C. |
If an angle is not a right angle, then its measure is not 90 degrees. |
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D. |
If an angle measures 90 degrees, then it is a right angle. |
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Hint |
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16. |
Determine the number of line segments that can be drawn connecting pairs of points shown. |
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A. |
10 |
B. |
6 |
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C. |
4 |
D. |
8 |
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Hint |
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17. |
A group of 7 people get together for a meeting. Before the meeting starts, they each shake hands with every person at the meeting. If a person only shakes hands with another person once, how many handshakes were there before the meeting began? |
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A. |
15 |
B. |
7 |
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C. |
42 |
D. |
21 |
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Hint |
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18. |
Which postulate states that if B is between A and C, then AB + BC = AC? |
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A. |
Addition Property of Congruence |
B. |
Segment Addition Postulate |
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C. |
Ruler Postulate |
D. |
Whole Segment Postulate |
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Hint |
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