Geometry Ms3
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Name: ________________________________ Geometry
MS #3 Ms. Bramanti
Due: _________________________ 1. Given the true statement “John is not handsome” and the false statement “John is handsome or smart.” Determine the truth value for the statement “John is smart.”
2. Given the true statements: “Jason goes shopping or he goes to the movies” and “Jason does not go to the movies.” Which statement must also be true? (1) Jason stays home. (2) Jason goes shopping. (3) Jason does not go shopping. (4) Jason does not go shopping and he does not go to the movies.
3. What is the contrapositive of the statement “If I study, then I pass the test”? (1) I pass the test if I study. (2) If I do not study, then I do not pass the test. (3) If I do not pass the test, then I do not study. (4) If I pass the test, then I study.
4. Which statement is logically equivalent to “If I eat, then I live”? (1) If I live, then I eat. (2) If I eat, then I do not live. (3) I live if and only if I eat. (4) If I do not live, then I do not eat.
5. What is the converse of the statement “If it is sunny, I will go swimming”? (1) If it is not sunny, I will not go swimming. (2) If I do not go swimming, then it is not sunny. (3) If I go swimming, it is sunny. (4) I will go swimming if and only if it is sunny.
6. Which statement is an example of a biconditional statement? (1) If Craig has money, he buys a car. (2) Craig buys a car if and only if he has money. (3) Craig has money or he buys a car. (4) Craig has money and he buys a car.
7. What is the value of x in the equation 8. Which value of p is the solution of 2( x − 3) + 1 = 19 ? 5 p − 1 = 2 p + 20 ? (1) 6 (3) 10.5 19 (1) (3) 3 (2) 9 (4) 12 7 19 (2) (4) 7 3
9. The expression 15 – 3[2 + 6(–3)] simplifies to (1) –45 (3) 63 (2) –33 (4) 192
10. The expression − −7 is equivalent to (1) 1 (3) 7 (2) 0 (4) –7
MS #3 Ms. Bramanti
Due: _________________________ 1. Given the true statement “John is not handsome” and the false statement “John is handsome or smart.” Determine the truth value for the statement “John is smart.”
2. Given the true statements: “Jason goes shopping or he goes to the movies” and “Jason does not go to the movies.” Which statement must also be true? (1) Jason stays home. (2) Jason goes shopping. (3) Jason does not go shopping. (4) Jason does not go shopping and he does not go to the movies.
3. What is the contrapositive of the statement “If I study, then I pass the test”? (1) I pass the test if I study. (2) If I do not study, then I do not pass the test. (3) If I do not pass the test, then I do not study. (4) If I pass the test, then I study.
4. Which statement is logically equivalent to “If I eat, then I live”? (1) If I live, then I eat. (2) If I eat, then I do not live. (3) I live if and only if I eat. (4) If I do not live, then I do not eat.
5. What is the converse of the statement “If it is sunny, I will go swimming”? (1) If it is not sunny, I will not go swimming. (2) If I do not go swimming, then it is not sunny. (3) If I go swimming, it is sunny. (4) I will go swimming if and only if it is sunny.
6. Which statement is an example of a biconditional statement? (1) If Craig has money, he buys a car. (2) Craig buys a car if and only if he has money. (3) Craig has money or he buys a car. (4) Craig has money and he buys a car.
7. What is the value of x in the equation 8. Which value of p is the solution of 2( x − 3) + 1 = 19 ? 5 p − 1 = 2 p + 20 ? (1) 6 (3) 10.5 19 (1) (3) 3 (2) 9 (4) 12 7 19 (2) (4) 7 3
9. The expression 15 – 3[2 + 6(–3)] simplifies to (1) –45 (3) 63 (2) –33 (4) 192
10. The expression − −7 is equivalent to (1) 1 (3) 7 (2) 0 (4) –7
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