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Let’s check out your problem:
Which two points on the number line represent the same point?
\newline
\begin{tabular}{|c|c|}
\newline
\hline
8
8
8
&
8
8
8
.
5
5
5
\\
\newline
\hline
8
8
8
.
70
70
70
&
x
x
x
\\
\newline
\hline
\newline
\end{tabular}
View step-by-step help
Home
Math Problems
Algebra 1
Solve one-step linear equations
Full solution
Q.
Which two points on the number line represent the same point?
\newline
\begin{tabular}{|c|c|}
\newline
\hline
8
8
8
&
8
8
8
.
5
5
5
\\
\newline
\hline
8
8
8
.
70
70
70
&
x
x
x
\\
\newline
\hline
\newline
\end{tabular}
Look for same numbers:
Look at the numbers, we need to find two that are the same.
\(8 ext{ and }
8
8
8
.
5
5
5
ext{ comparison:} ext{
} ext{ extit{
8
8
8
}} ext{ and } ext{ extit{
8
8
8
.
5
5
5
}} ext{ are different, so they can't be the same point.}}
8.5
e
x
t
a
n
d
8.70
e
x
t
c
o
m
p
a
r
i
s
o
n
:
8.5 ext{ and } 8.70 ext{ comparison:}
8.5
e
x
t
an
d
8.70
e
x
t
co
m
p
a
r
i
so
n
:
8.5
e
x
t
a
n
d
8.70
e
x
t
a
r
e
d
i
f
f
e
r
e
n
t
t
o
o
,
s
o
t
h
e
y
′
r
e
n
o
t
t
h
e
s
a
m
e
p
o
i
n
t
e
i
t
h
e
r
.
8.5 ext{ and } 8.70 ext{ are different too, so they're not the same point either.}
8.5
e
x
t
an
d
8.70
e
x
t
a
re
d
i
ff
ere
n
tt
oo
,
so
t
h
e
y
′
re
n
o
tt
h
es
am
e
p
o
in
t
e
i
t
h
er
.
Consider
8.70
8.70
8.70
as
8.7
8.7
8.7
:
But wait,
8.70
8.70
8.70
might be a typo, it could mean
8.7
8.7
8.7
which is the same as
8.70
8.70
8.70
, but that's not the same as
8
8
8
or
8.5
8.5
8.5
.
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Solve for x.
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x
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(\frac{3}{4})x= 12
(
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\newline
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\newline
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\newline
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\newline
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How many solutions does the following equation have?
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7
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7
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(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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How many solutions does the following equation have?
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9
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108
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−
9
(
x
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6
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9
x
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\newline
Choose
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(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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How many solutions does the following equation have?
\newline
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6
(
x
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7
)
=
−
4
x
−
2
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−
6
(
x
+
7
)
=
−
4
x
−
2
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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How many solutions does the following equation have?
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(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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y
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\newline
Choose
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\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
9
z
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6
+
7
z
=
16
z
−
6
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9
z
−
6
+
7
z
=
16
z
−
6
\newline
Choose
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answer:
\newline
(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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