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Chapter 1: Number Systems Which is a rational number? 1. 2. 3. 4. If n + 4 represents a positive odd integer, the next larger consecutive positive odd integer is represented by 1. 2. 3. 4. 2(n + 4) n+2 n+5 n+6 If 2x represents an even integer, then the next consecutive even integer would be represented by 1. 2. 3. 4. 2x + 1 2x + 2 3x x+2 If n + 8 represents an odd integer, the next larger odd integer is represented by 1. 2. 3. 4. n + 10 n+9 n+7 n+6 If 2n represents an even integer, the next consecutive even integer is represented by 1. 2. 3. 4. 4n n+2 2n + 1 2n + 2 If n 3 is an even integer, what is the next larger consecutive even integer? 1. 2. 3. 4. n 5 n 1 n+1 n+2 1 Which expression represents an irrational number? 1. 2. 3. 4. Which set is not closed under addition? 1. 2. 3. 4. natural numbers even integers whole numbers odd integers Under which operation is the set of even integers not closed? 1. 2. 3. 4. addition subtraction multiplication division Which set is closed under the operation of subtraction? 1. 2. 3. 4. odd numbers integers counting numbers prime numbers If x and y are any two whole numbers, which statement is always true? 1. xy = yx 2. 3. x y = y x 4. x + 3y = y + 3x The set {0, 1, -1} is closed under the operation of 1. 2. 3. 4. addition multiplication subtraction division 2 Which statement is not true for the set of integers? 1. 2. 3. 4. Every integer has an additive inverse. Every integer has a multiplicative inverse. The set of integers is closed under addition. The set of integers is closed under multiplication Which set of numbers is not closed with respect to the given operation? 1. 2. 3. 4. integers with respect to multiplication even integers with respect to addition integers with respect to subtraction odd integers with respect to addition Which number is rational? 1. 2. 3. 4. Which number has the greatest value? 1. 1 2. 3. 4. 1.5 If the number represented by n - 3 is an odd integer, which expression represents the next greater odd integer? 1. 2. 3. 4. n-5 n-2 n-1 n+1 If a is an odd number, b an even number, and c an odd number, which expression will always be equivalent to an odd number? 1. 2. 3. 4. a(bc) ac(b)0 ac(b)1 ac(b)2 3 Which set is closed under division? 1. 2. 3. 4. {1} counting numbers integers whole numbers The number 0.14114111411114... is 1. 2. 3. 4. integral rational irrational whole In which list are the numbers in order from least to greatest? 1. 3.2, , 3 , 2. , 3.2, , 3 3. , , 3.2, 3 4. 3.2, 3 , , Kyoko's mathematics teacher gave her the accompanying cards and asked her to arrange the cards in order from least to greatest. In what order should Kyoko arrange the cards? Enter the letters below. If x = 3, which statement is false? 1. 2. 3. 4. x is prime and x is odd. x is odd or x is even. x is not prime and x is odd. x is odd and 2x is even. 4 Which point on the accompanying number line best represents the position of 1. 2. 3. 4. ? A B C D Which interval notation represents the set of all real numbers from -3 to 5, including 5 but not including -3? 1. 2. 3. 4. (-3,5] (-3,5) [-3,5] [-3,5) The set of all real numbers from 23, and including 23, to 45, but not including 45 can be written in interval notation as 1. 2. 3. 4. [23,45] [23,45) (23,45) (23,45] Which interval notation represents the set of all numbers from -9 to 0, not inclusive? 1. 2. 3. 4. [-9,0) [-9,0] (-9,0] (-9,0) 5