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1. |
Write the phrase ''18 more than 4 times a number'' as an algebraic expression. |
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A. |
4 + x + 18 |
B. |
4x - 18 |
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C. |
4x + 18 |
D. |
4 + 18x |
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Hint |
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2. |
Which angle forms a linear pair with  |
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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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3. |
Make a conjecture based on the following information. For points A, B, and C, AB = 2, BC = 3, and AC = 4. |
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A. |
A, B, and C form on equilateral triangle. |
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B. |
A, B, and C are noncollinear. |
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C. |
A, B, and C are collinear. |
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D. |
A, B, and C form a right triangle. |
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Hint |
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4. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
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A. |
True; two answers are always more accurate than one answer. |
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B. |
False; the square root of a positive number is always a positive number. |
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C. |
False; the square root of 4 is 2 or -2. |
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D. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
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Hint |
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5. |
Which law states that if a conditional is true and its hypothesis is true, then the conclusion is true? |
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A. |
Law of Deductive Reasoning |
B. |
Law of Conditional |
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C. |
Law of Syllogism |
D. |
Law of Detachment |
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Hint |
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6. |
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. |
An object is a rhombus. |
B. |
An object is a square. |
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C. |
If an object is an equilateral, then it is a square. |
D. |
If an object is a square, then it is an equilateral. |
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Hint |
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7. |
Justify step 2 in solving  |
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A. |
Distributive Property (=) |
B. |
Multiplication Property (=) |
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C. |
Subtraction Property (=) |
D. |
Division Property (=) |
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Hint |
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8. |
If  and  form a linear pair and  find  |
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A. |
86 |
B. |
96 |
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C. |
76 |
D. |
106 |
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Hint |
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9. |
Which statement explains why  |
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A. |
All right 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. |
Vertical angles are congruent. |
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D. |
Angles adjacent to the same angle or to congruent angles are congruent. |
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Hint |
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10. |
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, inverse |
B. |
hypothesis, converse |
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C. |
inverse, negation |
D. |
converse, negation |
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Hint |
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11. |
Name the property that justifies the statement. ''If 2x = 12, then x = 6''. |
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A. |
Transitive Property (=) |
B. |
Symmetric Property |
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C. |
Multiplication Property (=) |
D. |
Division Property (=) |
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Hint |
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12. |
For the proof shown, provide statement 3. |
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A. |
AB = EF |
B. |
CD = EF |
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C. |
AB = BA |
D. |
AB = CD |
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Hint |
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13. |
What three properties hold true for congruence of segments? |
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A. |
reflexive, symmetric, and transitive |
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B. |
addition, subtraction, and multiplication |
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C. |
reflexive, multiplication, and division |
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D. |
reflexive, symmetric, and substitution |
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Hint |
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14. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
Assume what you are trying to prove is true. |
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B. |
State the theorem to be proved. |
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C. |
List the given information. |
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D. |
If possible, draw a diagram to illustrate the given information. |
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Hint |
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15. |
A __________ is a compound statement formed by joining two or more statements with the word and. |
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A. |
truth value |
B. |
negation |
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C. |
disjunction |
D. |
conjunction |
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Hint |
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16. |
The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied both Spanish and French? |
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A. |
40 |
B. |
15 |
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C. |
55 |
D. |
1 |
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Hint |
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17. |
Write the contrapositive of the statement a right angle measures 90 degrees. |
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A. |
If an angle is a right angle, then it measures 90 degrees. |
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B. |
If an angle measures 90 degrees, then it is a right angle. |
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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 does not measure 90 degrees, then it is not a right angle. |
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Hint |
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18. |
Which of the following statements is not a postulate? |
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A. |
A plane contains at least three points not on the same line. |
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B. |
If two lines intersect, then their intersection is exactly one point. |
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C. |
Points that lie of the same plane are said to be coplanar. |
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D. |
Through any two points, there is exactly one line. |
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Hint |
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