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Math Problems
Grade 8
Find the number of solutions
How many solutions does the system of equations below have?
\newline
y
=
10
7
x
+
4
y = \frac{10}{7}x + 4
y
=
7
10
x
+
4
\newline
y
=
10
7
x
−
2
7
y = \frac{10}{7}x - \frac{2}{7}
y
=
7
10
x
−
7
2
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
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How many solutions does the system of equations below have?
\newline
y
=
x
+
1
3
y = x + \frac{1}{3}
y
=
x
+
3
1
\newline
y
=
9
2
x
−
9
5
y = \frac{9}{2}x - \frac{9}{5}
y
=
2
9
x
−
5
9
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
1
4
x
−
9
y = \frac{1}{4}x - 9
y
=
4
1
x
−
9
\newline
y
=
1
4
x
−
10
7
y = \frac{1}{4}x - \frac{10}{7}
y
=
4
1
x
−
7
10
\newline
Choices:
\newline
(A) no solution
\newline
(B) one solution
\newline
(C) infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
6
x
−
9
y = -6x - 9
y
=
−
6
x
−
9
\newline
y
=
−
6
x
+
7
8
y = -6x + \frac{7}{8}
y
=
−
6
x
+
8
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
10
7
x
−
3
y = -\frac{10}{7}x - 3
y
=
−
7
10
x
−
3
\newline
y
=
−
10
7
x
+
7
6
y = -\frac{10}{7}x + \frac{7}{6}
y
=
−
7
10
x
+
6
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
7
x
+
10
y = -7x + 10
y
=
−
7
x
+
10
\newline
y
=
−
7
4
x
−
7
4
y = -\frac{7}{4}x - \frac{7}{4}
y
=
−
4
7
x
−
4
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
Which equation describes the story below? You have
$
5
\$ 5
$5
and triple your money every day.
\newline
a)
y
=
15
x
y=15 x
y
=
15
x
\newline
b)
y
=
5
(
3
x
)
y=5(3 x)
y
=
5
(
3
x
)
\newline
c)
y
=
5
(
3
)
x
y=5(3)^{x}
y
=
5
(
3
)
x
\newline
d)
y
=
5
x
y=5^{x}
y
=
5
x
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1
,
000
=
20
z
2
1,000=20 z^{2}
1
,
000
=
20
z
2
\newline
How many distinct real solutions does the given equation have?
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
\newline
(B)
1
1
1
\newline
(C)
2
2
2
\newline
(D)
4
4
4
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