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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