Real Numbers Answers

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Which phrase represents the algebraic expression ?

Question illustration
A
the product of one-fourth and a number, plus seven
B
the product of seven and a number
C
the product of one-fourth and seven, plus a number
D
the product of seven and one-fourth
2
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Which algebraic expression represents the phrase below?five times the sum of a number and eleven, divided by three times the sum of the number and eight

A
5(x + 11) + 3(x + 8)
B
StartFraction 5 x + 11 Over 3 x + 8 EndFraction
Option B
C
Start Fraction 5 (x + 11) Over 3 (x + 8) EndFraction
Option C
D
5x + 11 + 3x + 8
3

Which property of real numbers is shown below?-6(4x + 5) = -24x - 30

A
associative property of addition
B
commutative property of multiplication
C
distributive property
D
inverse property of addition
4

Which set of numbers is correctly ordered from greatest to least?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Given and c is a real number, what is the multiplicative inverse of

Question illustration
A
0
B
1
C
StartFraction 1 Over 4 c + 5 End Fraction
Option C
D
StartFraction 1 Over 4 c EndFraction + 5
Option D
6

Which of the following sets is closed under division?

A
natural numbers
B
non-zero integers
C
irrational numbers
D
non-zero rational numbers
7

Which algebraic expression represents the phrase “the quotient of negative eight and the sum of a number and three”?

A
StartFraction negative 8 Over g + 3 EndFraction
Option A
B
StartFraction 8 Over g + 3 EndFraction
Option B
C
StartFraction negative 8 Over g + 3 EndFraction
Option C
D
StartFraction negative 8 over g EndFraction + 3
Option D
8

Which algebraic expression represents the phrase “four times a number”?

A
4 + c
B
c - 4
C
4 divided by c
Option C
D
4c
9

Which algebraic expression represents the phrase “six less than a number”?

A
6x - x
B
x - 6
C
6 - x
D
x - 6x
10

Which number would support the idea that rational numbers are dense?

A
a natural number between and
Option A
B
an integer between –11 and –10
C
a whole number between 1 and 2
D
a terminating decimal between –3.14 and –3.15

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