MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 Practice Exam I Mat-107 Spring A 2011 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. List the elements in the set. 1) {x x is a whole number between 1 and 5} 1) A) {2, 3, 4} B) {1, 2, 3, 4, 5} C) {2, 3, 4, 5} D) {1, 2, 3, 4} 2) {x x is a counting number less than -4} 2) A) {-3, -2, -1,...} B) {-5, -6, -7,...} C) {..., -7, -6, -5} D) Write the set in set-builder notation. 3) {2, 4, 6, 8} 3) A) {x x is any even natural number} B) {2, 4, 6, 8} C) {x x is any even integer less than 10} D) {x x is an even natural number less than 10} 4) The set of all calculus books 4) A) {x x is a calculus book} B) {x is a calculus book} C) {a calculus book} D) {any calculus book} Identify the set as finite or infinite. 5) {x x is an odd counting number} 5) A) Finite B) Infinite 6) {9, 10, 11,..., 36} 6) A) Infinite B) Finite Find n(a) for the set. 7) A = {x x is a number on a clock face} 7) A) n(a) = 6 B) n(a) = 24 C) n(a) = 12 D) n(a) = 3 Determine whether or not the set is well defined. 8) {x x is a football team that has won the Super Bowl} 8) A) Well defined B) Not well defined 9) {x x is an expensive boat on the Great Lakes} 9) A) Well defined B) Not well defined Complete the blank with either or to make the statement true. 10) 5 {11, 10, 9, 8} 10) A) B) 11) -8 {8, 10, 12,..., 20} 11) A) B) 1

2 Let U = {1, 2, 4, 5, a, b, c, d, e}. Find the complement of the set. 12) Q = {2, 4, b, d} 12) A) {1, 5, a, c, e} B) {1, 2, 4, 5, a, b, c, d, e} C) {1, 3, 5, a, c, e} D) {1, 5, a, e} Decide whether or not the following is a statement. 13) Not all flowers are roses. 13) A) Statement B) Not a statement 14) Do you like this color? 14) A) Not a statement B) Statement Decide whether the statement is compound. 15) Computers are very helpful to people. 15) A) Not compound B) Compound 16) He's from England and he doesn't drink tea. 16) A) Not compound B) Compound Write a negation for the statement. 17) Not all people like football. 17) A) All people do not like football. B) Some people like football. C) Some people do not like football. D) All people like football. Convert the symbolic compound statement into words. 18) p represents the statement "Her name is Lisa." q represents the statement "She lives in Chicago." Translate the following compound statement into words: p q 18) A) Her name is Lisa and she lives in Chicago. B) Her name is Lisa and she doesn't live in Chicago. C) Her name is Lisa or she lives in Chicago. D) If her name is Lisa, she lives in Chicago. 19) p represents the statement "It's Monday." q represents the statement "It's raining today." Translate the following compound statement into words: ~p ~q 19) A) It's not the case that it's Monday and raining today. B) It's not Monday or it's not raining today. C) It's Monday or it's raining today. D) It's not Monday and it's not raining today. Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert the compound statement into symbols. 20) Jim does not play football and Michael plays basketball. 20) A) ~p q B) ~p q C) p q D) ~(p q) 2

3 Write the converse, inverse, or contrapositive of the statement as requested. 21) If I were young, I would be happy. Converse A) If I were happy, I would be young. B) If I were young, I would not be happy. C) If I were not young, I would not be happy. D) If I were not happy, I would not be young. 22) All Border Collies are dogs. Inverse A) If it's not a Border Collie, it's not a dog. B) If it's not a dog, it's not a Border Collie. C) If it's a Border Collie, it's not a dog D) If it's a dog, it's a Border Collie. 23) Love is blind. Contrapositive A) If it is not blind, then it is not love. B) If it is blind then it is not love. C) If it is blind then it is love. D) If it is not love, it is not blind. 21) 22) 23) Use an Euler diagram to determine whether the argument is valid or invalid. 24) Some investments are risky. Real estate is an investment. Real estate is risky. A) Valid B) Invalid 25) All businessmen wear suits. Aaron wears a suit. Aaron is a businessman. A) Valid B) Invalid 24) 25) Convert the Egyptian numeral to Hindu-Arabic form. 26) 26) A) 367 B) 3067 C) 3607 D) ) 27) A) 928,709 B) 1,000,439 C) 928,439 D) 928,412 3

4 Convert the Chinese numeral to Hindu-Arabic form. 28) 28) A) 4090 B) 490 C) 4900 D) ) 29) A) 3068 B) 368 C) 367 D) 356 Identify the number represented on the abacus. 30) 30) A) 939 B) 539 C) 5,309 D) 9,309 31) 31) A) 45,352 B) 49,392 C) 40,302 D) 432 Write the number in expanded form. 32) 2,732 32) A) (2 103) + (7 102) + (3 101) + (2 100) B) (2 104) + (7 103) + (3 102) + (2 101) C) (2 100) + (7 101) + (3 102) + (2 103) D) (2 101) + (7 102) + (3 103) + (2 104) Graph the numbers on a number line. 33) -5, -3, -1, 1 33) A) B) C) D) 4

5 Give the opposite and then the absolute value of the number. 34) 21 34) A) -21, -21 B) -21, 21 C) 0, 21 D) 21, 21 Select the smaller of the two given numbers. 35) -143, 13 35) A) -143 B) 13 Decide if the statement is true or false. 36) -(-8) > ) A) True B) False 37) ) A) True B) False Perform the indicated operation. 38) 25 + (-49) 38) A) 24 B) 74 C) -74 D) ) 23 + (-14) + (-5) 39) A) 42 B) 4 C) 32 D) 14 40) 8(-11) 40) A) 176 B) 88 C) -88 D) ) ) A) -26 B) -16 C) D) 16 Perform the indicated operations. 5(2 + 1) - 7(1 + 1) 42) 5(4-2) ) A) 4 B) 1 8 C) 1 6 D) ) (5 + 6)[5 + (4 + 4)] 43) A) 143 B) 20 C) 63 D) 24 5