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Math Problems
Algebra 2
Properties of operations on rational and irrational numbers
The number
z
z
z
is irrational. Which statement about
3
−
z
3 - z
3
−
z
is true?
\newline
Choices:
\newline
(A)
3
−
z
3 - z
3
−
z
is rational.
\newline
(B)
3
−
z
3 - z
3
−
z
is irrational.
\newline
(C)
3
−
z
3 - z
3
−
z
can be rational or irrational, depending on the value of
z
z
z
.
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The number
s
s
s
is irrrational. Which statement about
s
−
8
s - 8
s
−
8
is true? Choices:
\newline
(A)
s
−
8
s - 8
s
−
8
is rational.
\newline
(B)
s
+
8
s + 8
s
+
8
is irrational.
\newline
(C)
s
+
8
s + 8
s
+
8
can be rational or irrational, depending on the value of
s
s
s
.
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The number
t
t
t
is rational. Which statement about
5
+
t
5 + t
5
+
t
is true?
\newline
Choices:
\newline
(A)
5
+
t
5 + t
5
+
t
is rational.
\newline
(B)
5
+
t
5 + t
5
+
t
is irrational.
\newline
(C)
5
+
t
5 + t
5
+
t
can be rational or irrational, depending on the value of
t
t
t
.
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The number
q
q
q
is rational. Which statement about
q
−
6
q - 6
q
−
6
is true?
\newline
Choices:
\newline
(A)
q
−
6
q - 6
q
−
6
is rational.
\newline
(B)
q
−
6
q - 6
q
−
6
is irrational.
\newline
(C)
q
−
6
q - 6
q
−
6
can be rational or irrational, depending on the value of
q
q
q
.
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The number
a
a
a
is irrational. Which statement about
a
−
5
a - 5
a
−
5
is true?
\newline
Choices:
\newline
(A)
a
−
5
a - 5
a
−
5
is rational.
\newline
(B)
a
−
5
a - 5
a
−
5
is irrational.
\newline
(C)
a
−
5
a - 5
a
−
5
can be rational or irrational, depending on the value of
a
a
a
.
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The number
t
t
t
is irrational. Which statement about
t
−
47
t - \sqrt{47}
t
−
47
is true?
\newline
Choices:
\newline
(A)
t
−
47
t - \sqrt{47}
t
−
47
is rational.
\newline
(B)
t
−
47
t - \sqrt{47}
t
−
47
is irrational.
\newline
(C)
t
−
47
t - \sqrt{47}
t
−
47
can be rational or irrational, depending on the value of
t
t
t
.
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