Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Properties of operations on rational and irrational numbers
The number
x
x
x
is irrational. Which statement about
x
+
50
x + \sqrt{50}
x
+
50
is true?
\newline
Choices:
\newline
(A)
x
+
50
x + \sqrt{50}
x
+
50
is rational.
\newline
(B)
x
+
50
x + \sqrt{50}
x
+
50
is irrational.
\newline
(C)
x
+
50
x + \sqrt{50}
x
+
50
can be rational or irrational, depending on the value of
x
x
x
.
Get tutor help
The number
w
w
w
is rational. Which statement about
22
+
w
\sqrt{22} + w
22
+
w
is true?
\newline
Choices:
\newline
(A)
22
+
w
\sqrt{22} + w
22
+
w
is rational.
\newline
(B)
22
+
w
\sqrt{22} + w
22
+
w
is irrational.
\newline
(C)
22
+
w
\sqrt{22} + w
22
+
w
can be rational or irrational, depending on the value of
w
w
w
.
Get tutor help
The number
t
t
t
is irrational. Which statement about
t
+
8
t + 8
t
+
8
is true?
\newline
Choices:
\newline
(A)
t
+
8
t + 8
t
+
8
is rational.
\newline
(B)
t
+
8
t + 8
t
+
8
is irrational.
\newline
(C)
t
+
8
t + 8
t
+
8
can be rational or irrational, depending on the value of
t
t
t
.
Get tutor help
The number
x
x
x
is irrational. Which statement about
x
−
10
x - \sqrt{10}
x
−
10
is true?
\newline
Choices:
\newline
(A)
x
−
10
x - \sqrt{10}
x
−
10
is rational.
\newline
(B)
x
−
10
x - \sqrt{10}
x
−
10
is irrational.
\newline
(C)
x
−
10
x - \sqrt{10}
x
−
10
can be rational or irrational, depending on the value of
x
x
x
.
Get tutor help
The number
u
u
u
is rational. Which statement about
2
+
u
2 + u
2
+
u
is true?
\newline
Choices:
\newline
(A)
2
+
u
2 + u
2
+
u
is rational.
\newline
(B)
2
+
u
2 + u
2
+
u
is irrational.
\newline
(C)
2
+
u
2 + u
2
+
u
can be rational or irrational, depending on the value of
u
u
u
.
Get tutor help
The number
y
y
y
is irrational. Which statement about
6
+
y
6 + y
6
+
y
is true?
\newline
Choices:
\newline
(A)
6
+
y
6 + y
6
+
y
is rational.
\newline
(B)
6
+
y
6 + y
6
+
y
is irrational.
\newline
(C)
6
+
y
6 + y
6
+
y
can be rational or irrational, depending on the value of
y
y
y
.
Get tutor help
The number
b
b
b
is irrational. Which statement about
33
+
b
\sqrt{33} + b
33
+
b
is true?
\newline
Choices:
\newline
(A)
33
+
b
\sqrt{33} + b
33
+
b
is rational.
\newline
(B)
33
+
b
\sqrt{33} + b
33
+
b
is irrational.
\newline
(C)
33
+
b
\sqrt{33} + b
33
+
b
can be rational or irrational, depending on the value of
b
b
b
.
Get tutor help
The number
x
x
x
is rational. Which statement about
7
+
x
7 + x
7
+
x
is true?
\newline
Choices:
\newline
(A)
7
+
x
7 + x
7
+
x
is rational.
\newline
(B)
7
+
x
7 + x
7
+
x
is irrational.
\newline
(C)
7
+
x
7 + x
7
+
x
can be rational or irrational, depending on the value of
x
x
x
.
Get tutor help
The number
q
q
q
is rational. Which statement about
4
−
q
4 - q
4
−
q
is true?
\newline
Choices:
\newline
(A)
4
−
q
4 - q
4
−
q
is rational.
\newline
(B)
4
−
q
4 - q
4
−
q
is irrational.
\newline
(C)
4
−
q
4 - q
4
−
q
can be rational or irrational, depending on the value of
q
q
q
.
Get tutor help
The number
d
d
d
is rational. Which statement about
4
+
d
4 + d
4
+
d
is true?
\newline
Choices:
\newline
(A)
4
+
d
4 + d
4
+
d
is rational.
\newline
(B)
4
+
d
4 + d
4
+
d
is irrational.
\newline
(C)
4
+
d
4 + d
4
+
d
can be rational or irrational, depending on the value of
d
d
d
.
Get tutor help
The number
x
x
x
is rational. Which statement about
x
+
4
x + 4
x
+
4
is true?
\newline
Choices:
\newline
(A)
x
+
4
x + 4
x
+
4
is rational.
\newline
(B)
x
+
4
x + 4
x
+
4
is irrational.
\newline
(C)
x
+
4
x + 4
x
+
4
can be rational or irrational, depending on the value of
x
x
x
.
Get tutor help
The number
s
s
s
is rational. Which statement about
s
−
2
s - 2
s
−
2
is true?
\newline
Choices:
\newline
(A)
s
−
2
s - 2
s
−
2
is rational.
\newline
(B)
s
−
2
s - 2
s
−
2
is irrational.
\newline
(C)
s
−
2
s - 2
s
−
2
can be rational or irrational, depending on the value of
s
s
s
.
Get tutor help
The number
x
x
x
is irrational. Which statement about
10
+
x
10 + x
10
+
x
is true?
\newline
Choices:
\newline
(A)
10
+
x
10 + x
10
+
x
is rational.
\newline
(B)
10
+
x
10 + x
10
+
x
is irrational.
\newline
(C)
10
+
x
10 + x
10
+
x
can be rational or irrational, depending on the value of
x
x
x
.
Get tutor help
The number
t
t
t
is rational. Which statement about
t
−
10
t - 10
t
−
10
is true?
\newline
Choices:
\newline
(A)
t
−
10
t - 10
t
−
10
is rational.
\newline
(B)
t
−
10
t - 10
t
−
10
is irrational.
\newline
(C)
t
−
10
t - 10
t
−
10
can be rational or irrational, depending on the value of
t
t
t
.
Get tutor help
The number
q
q
q
is irrational. Which statement about
q
−
39
q - \sqrt{39}
q
−
39
is true?
\newline
Choices:
\newline
(A)
q
−
39
q - \sqrt{39}
q
−
39
is rational.
\newline
(B)
q
−
39
q - \sqrt{39}
q
−
39
is irrational.
\newline
(C)
q
−
39
q - \sqrt{39}
q
−
39
can be rational or irrational, depending on the value of
q
q
q
.
Get tutor help
The number
z
z
z
is irrational. Which statement about
2
+
z
2 + z
2
+
z
is true?
\newline
Choices:
\newline
(A)
2
+
z
2 + z
2
+
z
is rational.
\newline
(B)
2
+
z
2 + z
2
+
z
is irrational.
\newline
(C)
2
+
z
2 + z
2
+
z
can be rational or irrational, depending on the value of
z
z
z
.
Get tutor help
The number
y
y
y
is irrational. Which statement about
7
−
y
7 - y
7
−
y
is true?
\newline
Choices:
\newline
(A)
7
−
y
7 - y
7
−
y
is rational.
\newline
(B)
7
−
y
7 - y
7
−
y
is irrational.
\newline
(C)
7
−
y
7 - y
7
−
y
can be rational or irrational, depending on the value of
y
y
y
.
Get tutor help
The number
c
c
c
is rational. Which statement about
c
+
10
c + 10
c
+
10
is true?
\newline
Choices:
\newline
(A)
c
+
10
c + 10
c
+
10
is rational.
\newline
(B)
c
+
10
c + 10
c
+
10
is irrational.
\newline
(C)
c
+
10
c + 10
c
+
10
can be rational or irrational, depending on the value of
c
c
c
.
Get tutor help
The number
y
y
y
is rational. Which statement about
y
+
7
y + 7
y
+
7
is true?
\newline
Choices:
\newline
(A)
y
+
7
y + 7
y
+
7
is rational.
\newline
(B)
y
+
7
y + 7
y
+
7
is irrational.
\newline
(C)
y
+
7
y + 7
y
+
7
can be rational or irrational, depending on the value of
y
y
y
.
Get tutor help
The number
r
r
r
is rational. Which statement about
10
+
r
10 + r
10
+
r
is true?
\newline
Choices:
\newline
(A)
10
+
r
10 + r
10
+
r
is rational.
\newline
(B)
10
+
r
10 + r
10
+
r
is irrational.
\newline
(C)
10
+
r
10 + r
10
+
r
can be rational or irrational, depending on the value of
r
r
r
.
Get tutor help
The number
t
t
t
is irrational. Which statement about
32
−
t
\sqrt{32} - t
32
−
t
is true?
\newline
Choices:
\newline
(A)
32
−
t
\sqrt{32} - t
32
−
t
is rational.
\newline
(B)
32
−
t
\sqrt{32} - t
32
−
t
is irrational.
\newline
(C)
32
−
t
\sqrt{32} - t
32
−
t
can be rational or irrational, depending on the value of
t
t
t
.
Get tutor help
The number
c
c
c
is irrational. Which statement about
5
−
c
5 - c
5
−
c
is true?
\newline
Choices:
\newline
(A)
5
−
c
5 - c
5
−
c
is rational.
\newline
(B)
5
−
c
5 - c
5
−
c
is irrational.
\newline
(C)
5
−
c
5 - c
5
−
c
can be rational or irrational, depending on the value of
c
c
c
.
Get tutor help
The number
y
y
y
is rational. Which statement about
3
+
y
\sqrt{3} + y
3
+
y
is true?
\newline
Choices:
\newline
(A)
3
+
y
\sqrt{3} + y
3
+
y
is rational.
\newline
(B)
3
+
y
\sqrt{3} + y
3
+
y
is irrational.
\newline
(C)
3
+
y
\sqrt{3} + y
3
+
y
can be rational or irrational, depending on the value of
y
y
y
.
Get tutor help
The number
x
x
x
is rational. Which statement about
x
+
18
x + \sqrt{18}
x
+
18
is true?
\newline
Choices:
\newline
x
+
18
x + \sqrt{18}
x
+
18
is rational.
\newline
x
+
18
x + \sqrt{18}
x
+
18
is irrational.
\newline
x
+
18
x + \sqrt{18}
x
+
18
can be rational or irrational, depending on the value of
x
x
x
.
Get tutor help
The number
y
y
y
is irrational. Which statement about
y
−
4
y - 4
y
−
4
is true?
\newline
Choices:
\newline
(A)
y
−
4
y - 4
y
−
4
is rational.
\newline
(B)
y
−
4
y - 4
y
−
4
is irrational.
\newline
(C)
y
−
4
y - 4
y
−
4
can be rational or irrational, depending on the value of
y
y
y
.
Get tutor help
The number
q
q
q
is rational. Which statement about
q
+
8
q + 8
q
+
8
is true?
\newline
Choices:
\newline
(A)
q
+
8
q + 8
q
+
8
is rational.
\newline
(B)
q
+
8
q + 8
q
+
8
is irrational.
\newline
(C)
q
+
8
q + 8
q
+
8
can be rational or irrational, depending on the value of
q
q
q
.
Get tutor help
The number
d
d
d
is rational. Which statement about
4
−
d
4 - d
4
−
d
is true?
\newline
Choices:
\newline
(A)
4
−
d
4 - d
4
−
d
is rational.
\newline
(B)
4
−
d
4 - d
4
−
d
is irrational.
\newline
(C)
4
−
d
4 - d
4
−
d
can be rational or irrational, depending on the value of
d
d
d
.
Get tutor help
The number
s
s
s
is irrational. Which statement about
38
+
s
\sqrt{38} + s
38
+
s
is true?
\newline
Choices:
\newline
(A)
38
+
s
\sqrt{38} + s
38
+
s
is rational.
\newline
(B)
38
+
s
\sqrt{38} + s
38
+
s
is irrational.
\newline
(C)
38
+
s
\sqrt{38} + s
38
+
s
can be rational or irrational, depending on the value of
s
s
s
.
Get tutor help
The number
v
v
v
is rational. Which statement about
10
+
v
10 + v
10
+
v
is true?
\newline
Choices:
\newline
(A)
10
+
v
10 + v
10
+
v
is rational.
\newline
(B)
10
+
v
10 + v
10
+
v
is irrational.
\newline
(C)
10
+
v
10 + v
10
+
v
can be rational or irrational, depending on the value of
v
v
v
.
Get tutor help
The number
v
v
v
is rational. Which statement about
v
−
14
v - \sqrt{14}
v
−
14
is true?
\newline
Choices:
\newline
(A)
v
−
14
v - \sqrt{14}
v
−
14
is rational.
\newline
(B)
v
−
14
v - \sqrt{14}
v
−
14
is irrational.
\newline
(C)
v
−
14
v - \sqrt{14}
v
−
14
can be rational or irrational, depending on the value of
v
v
v
.
Get tutor help
The number
c
c
c
is rational. Which statement about
9
−
c
9 - c
9
−
c
is true?
\newline
Choices:
\newline
(A)
9
−
c
9 - c
9
−
c
is rational.
\newline
(B)
9
−
c
9 - c
9
−
c
is irrational.
\newline
(C)
9
−
c
9 - c
9
−
c
can be rational or irrational, depending on the value of
c
c
c
.
Get tutor help
The number
c
c
c
is irrational. Which statement about
6
−
c
6 - c
6
−
c
is true?
\newline
Choices:
\newline
(A)
6
−
c
6 - c
6
−
c
is rational.
\newline
(B)
6
−
c
6 - c
6
−
c
is irrational.
\newline
(C)
6
−
c
6 - c
6
−
c
can be rational or irrational, depending on the value of
c
c
c
.
Get tutor help
The number
u
u
u
is irrational. Which statement about
u
−
10
u - 10
u
−
10
is true?
\newline
Choices:
\newline
(A)
u
−
10
u - 10
u
−
10
is rational.
\newline
(B)
u
−
10
u - 10
u
−
10
is irrational.
\newline
(C)
u
−
10
u - 10
u
−
10
can be rational or irrational, depending on the value of
u
u
u
.
Get tutor help
The number
q
q
q
is irrational. Which statement about
q
+
33
q + \sqrt{33}
q
+
33
is true?
\newline
Choices:
\newline
q
+
33
q + \sqrt{33}
q
+
33
is rational.
\newline
q
+
33
q + \sqrt{33}
q
+
33
is irrational.
\newline
q
+
33
q + \sqrt{33}
q
+
33
can be rational or irrational, depending on the value of
q
q
q
.
Get tutor help
The number
y
y
y
is irrational. Which statement about
y
−
9
y - 9
y
−
9
is true?
\newline
Choices:
\newline
(A)
y
−
9
y - 9
y
−
9
is rational.
\newline
(B)
y
−
9
y - 9
y
−
9
is irrational.
\newline
(C)
y
−
9
y - 9
y
−
9
can be rational or irrational, depending on the value of
y
y
y
.
Get tutor help
The number
b
b
b
is rational. Which statement about
b
−
3
b - \sqrt{3}
b
−
3
is true?
\newline
Choices:
\newline
(A)
b
−
3
b - \sqrt{3}
b
−
3
is rational.
\newline
(B)
b
−
3
b - \sqrt{3}
b
−
3
is irrational.
\newline
(C)
b
−
3
b - \sqrt{3}
b
−
3
can be rational or irrational, depending on the value of
b
b
b
.
Get tutor help
The number
t
t
t
is irrational. Which statement about
3
−
t
\sqrt{3} - t
3
−
t
is true?
\newline
Choices:
\newline
(A)
3
−
t
\sqrt{3} - t
3
−
t
is rational.
\newline
(B)
3
−
t
\sqrt{3} - t
3
−
t
is irrational.
\newline
(C)
3
−
t
\sqrt{3} - t
3
−
t
can be rational or irrational, depending on the value of
t
t
t
.
Get tutor help
The number
d
d
d
is irrational. Which statement about
6
−
d
6 - d
6
−
d
is true?
\newline
Choices:
\newline
(A)
6
−
d
6 - d
6
−
d
is rational.
\newline
(B)
6
−
d
6 - d
6
−
d
is irrational.
\newline
(C)
6
−
d
6 - d
6
−
d
can be rational or irrational, depending on the value of
d
d
d
.
Get tutor help
The number
a
a
a
is rational. Which statement about
a
+
8
a + 8
a
+
8
is true?
\newline
Choices:
\newline
(A)
a
+
8
a + 8
a
+
8
is rational.
\newline
(B)
a
+
8
a + 8
a
+
8
is irrational.
\newline
(C)
a
+
8
a + 8
a
+
8
can be rational or irrational, depending on the value of
a
a
a
.
Get tutor help
The number
b
b
b
is rational. Which statement about
b
+
43
b + \sqrt{43}
b
+
43
is true?
\newline
Choices:
\newline
b
+
43
b + \sqrt{43}
b
+
43
is rational.
\newline
b
+
43
b + \sqrt{43}
b
+
43
is irrational.
\newline
b
+
43
b + \sqrt{43}
b
+
43
can be rational or irrational, depending on the value of
b
b
b
.
Get tutor help
The number
t
t
t
is rational. Which statement about
t
−
17
t - \sqrt{17}
t
−
17
is true?
\newline
Choices:
\newline
t
−
17
t - \sqrt{17}
t
−
17
is rational.
\newline
t
−
17
t - \sqrt{17}
t
−
17
is irrational.
\newline
t
−
17
t - \sqrt{17}
t
−
17
can be rational or irrational, depending on the value of
t
t
t
.
Get tutor help
The number
x
x
x
is rational. Which statement about
13
−
x
\sqrt{13} - x
13
−
x
is true?
\newline
Choices:
\newline
(A)
13
−
x
\sqrt{13} - x
13
−
x
is rational.
\newline
(B)
13
−
x
\sqrt{13} - x
13
−
x
is irrational.
\newline
(C)
13
−
x
\sqrt{13} - x
13
−
x
can be rational or irrational, depending on the value of
x
x
x
.
Get tutor help
The number
v
v
v
is irrational. Which statement about
v
−
10
v - 10
v
−
10
is true?
\newline
Choices:
\newline
(A)
v
−
10
v - 10
v
−
10
is rational.
\newline
(B)
v
−
10
v - 10
v
−
10
is irrational.
\newline
(C)
v
−
10
v - 10
v
−
10
can be rational or irrational, depending on the value of
v
v
v
.
Get tutor help
The number
c
c
c
is irrational. Which statement about
c
−
3
c - 3
c
−
3
is true?
\newline
Choices:
\newline
(A)
c
−
3
c - 3
c
−
3
is rational.
\newline
(B)
c
−
3
c - 3
c
−
3
is irrational.
\newline
(C)
c
−
3
c - 3
c
−
3
can be rational or irrational, depending on the value of
c
c
c
.
Get tutor help
The number
c
c
c
is rational. Which statement about
9
+
c
9 + c
9
+
c
is true?
\newline
Choices:
\newline
(A)
9
+
c
9 + c
9
+
c
is rational.
\newline
(B)
9
+
c
9 + c
9
+
c
is irrational.
\newline
(C)
9
+
c
9 + c
9
+
c
can be rational or irrational, depending on the value of
c
c
c
.
Get tutor help
The number
y
y
y
is irrational. Which statement about
y
−
38
y - \sqrt{38}
y
−
38
is true?
\newline
Choices:
\newline
(A)
y
−
38
y - \sqrt{38}
y
−
38
is rational.
\newline
(B)
y
−
38
y - \sqrt{38}
y
−
38
is irrational.
\newline
(C)
y
−
38
y - \sqrt{38}
y
−
38
can be rational or irrational, depending on the value of
y
y
y
.
Get tutor help
The number
t
t
t
is irrational. Which statement about
t
−
5
t - 5
t
−
5
is true?
\newline
Choices:
\newline
(A)
t
−
5
t - 5
t
−
5
is rational.
\newline
(B)
t
−
5
t - 5
t
−
5
is irrational.
\newline
(C)
t
−
5
t - 5
t
−
5
can be rational or irrational, depending on the value of
t
t
t
.
Get tutor help
The number
q
q
q
is rational. Which statement about
4
+
q
4 + q
4
+
q
is true?
\newline
Choices:
\newline
(A)
4
+
q
4 + q
4
+
q
is rational.
\newline
(B)
4
+
q
4 + q
4
+
q
is irrational.
\newline
(C)
4
+
q
4 + q
4
+
q
can be rational or irrational, depending on the value of
q
q
q
.
Get tutor help
The number
w
w
w
is rational. Which statement about
9
+
w
9 + w
9
+
w
is true?
\newline
Choices:
\newline
(A)
9
+
w
9 + w
9
+
w
is rational.
\newline
(B)
9
+
w
9 + w
9
+
w
is irrational.
\newline
(C)
9
+
w
9 + w
9
+
w
can be rational or irrational, depending on the value of
w
w
w
.
Get tutor help
The number
z
z
z
is irrational. Which statement about
5
−
z
5 - z
5
−
z
is true?
\newline
Choices:
\newline
(A)
5
−
z
5 - z
5
−
z
is rational.
\newline
(B)
5
−
z
5 - z
5
−
z
is irrational.
\newline
(C)
5
−
z
5 - z
5
−
z
can be rational or irrational, depending on the value of
z
z
z
.
Get tutor help
1
2
Next
