AnswersAPSB 2025 Math Essentials-ALPGraphing Two-Variable Linear Inequalities

Real Numbers Answers

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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
2
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Which number is an irrational number?

A
StartFraction negative 22 Over 9 EndFraction
Option A
B
Negative StartRoot 3 EndRoot
Option B
C
2.56
D
StartRoot 15 EndRoot
Option D
3

Which property of real numbers is shown below?-6 + 6 = 0

A
associative property of addition
B
commutative property of addition
C
identity property of addition
D
inverse property of addition
4

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
5

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

A
, ’ 15.758
Option A
B
, 15.758,
Option B
C
15.758, ,
Option C
D
, 15.758,
Option D
6

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
7

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
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

Finding an irrational number between which given pair of numbers supports the idea that irrational numbers are dense in real numbers?

A
3.14 and
Option A
B
3.33 and
Option B
C
and
Option C
D
and
Option D
10

Which set does not contain –3?

A
the set of all real numbers
B
the set of all integers
C
the set of all whole numbers
D
the set of all rational numbers

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