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Math Problems
Grade 8
Is (x, y) a solution to the nonlinear equation?
Does the point
(
−
1
,
9
)
(-1,9)
(
−
1
,
9
)
satisfy the equation
y
=
−
8
x
−
−
1
y=-8 x--1
y
=
−
8
x
−
−
1
?
\newline
yes
\newline
no
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Is
(
0
,
0
)
(0, 0)
(
0
,
0
)
a solution to the equation
y
=
−
7
x
2
y = -7x^2
y
=
−
7
x
2
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Does
(
2
,
−
1
)
(2, -1)
(
2
,
−
1
)
make the equation
y
=
5
x
2
y = 5x^2
y
=
5
x
2
true?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
−
8
,
0
)
(-8, 0)
(
−
8
,
0
)
a solution to the equation
y
=
4
x
2
−
8
y = 4x^2 - 8
y
=
4
x
2
−
8
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
2
,
6
)
(2, 6)
(
2
,
6
)
a solution to the equation
y
=
9
x
2
+
x
y = 9x^2 + x
y
=
9
x
2
+
x
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Does
(
−
4
,
−
3
)
(-4, -3)
(
−
4
,
−
3
)
make the equation
y
=
−
8
x
2
+
−
7
x
+
−
1
y = -8x^2 + -7x + -1
y
=
−
8
x
2
+
−
7
x
+
−
1
true?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Does
(
0
,
9
)
(0, 9)
(
0
,
9
)
make the equation
y
=
−
8
x
2
−
9
y = -8x^2 - 9
y
=
−
8
x
2
−
9
true?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
−
2
,
−
3
)
(-2, -3)
(
−
2
,
−
3
)
a solution to the equation
y
=
x
2
+
−
1
y = x^2 + -1
y
=
x
2
+
−
1
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Does the point
(
7
,
7
)
(7, 7)
(
7
,
7
)
satisfy the equation
y
=
x
2
−
6
x
y = x^2 - 6x
y
=
x
2
−
6
x
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Does
(
0
,
6
)
(0, 6)
(
0
,
6
)
make the equation
y
=
−
2
x
2
+
−
2
x
−
−
6
y = -2x^2 + -2x - -6
y
=
−
2
x
2
+
−
2
x
−
−
6
true?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Does the point
(
1
,
1
)
(1, 1)
(
1
,
1
)
satisfy the equation
y
=
3
x
2
−
8
x
+
2
y = 3x^2 - 8x + 2
y
=
3
x
2
−
8
x
+
2
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
1
,
−
7
)
(1, -7)
(
1
,
−
7
)
a solution to the equation
y
=
7
x
2
+
−
7
x
−
9
y = 7x^2 + -7x - 9
y
=
7
x
2
+
−
7
x
−
9
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Does
(
0
,
0
)
(0, 0)
(
0
,
0
)
make the equation
y
=
−
5
x
2
+
4
x
y = -5x^2 + 4x
y
=
−
5
x
2
+
4
x
true?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Does the point
(
−
1
,
−
5
)
(-1, -5)
(
−
1
,
−
5
)
satisfy the equation
y
=
2
x
2
+
6
x
−
1
y = 2x^2 + 6x - 1
y
=
2
x
2
+
6
x
−
1
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Does
(
0
,
−
5
)
(0, -5)
(
0
,
−
5
)
make the equation
y
=
7
x
2
−
x
−
(
−
5
)
y = 7x^2 - x - (-5)
y
=
7
x
2
−
x
−
(
−
5
)
true?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Does
(
2
,
−
1
)
(2, -1)
(
2
,
−
1
)
make the equation
y
=
x
2
−
4
x
+
−
3
y = x^2 - 4x + -3
y
=
x
2
−
4
x
+
−
3
true?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
2
,
−
8
)
(2, -8)
(
2
,
−
8
)
a solution to the equation
y
=
−
5
x
2
+
4
x
y = -5x^2 + 4x
y
=
−
5
x
2
+
4
x
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
5
,
1
)
(5, 1)
(
5
,
1
)
a solution to the equation
y
=
−
3
x
2
+
4
x
y = -3x^2 + 4x
y
=
−
3
x
2
+
4
x
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Does the point
(
0
,
−
6
)
(0, -6)
(
0
,
−
6
)
satisfy the equation
y
=
x
2
+
2
x
+
6
y = x^2 + 2x + 6
y
=
x
2
+
2
x
+
6
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Does the point
(
3
,
0
)
(3, 0)
(
3
,
0
)
satisfy the equation
y
=
x
2
+
4
x
y = x^2 + 4x
y
=
x
2
+
4
x
?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Does the point
(
0
,
0
)
(0, 0)
(
0
,
0
)
satisfy the equation
y
=
x
2
y = x^2
y
=
x
2
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Get tutor help
Given
f
(
x
)
=
−
x
2
−
6
x
+
17
f(x)=-x^{2}-6 x+17
f
(
x
)
=
−
x
2
−
6
x
+
17
, find
f
(
1
)
f(1)
f
(
1
)
\newline
Answer:
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d
y
d
x
=
5
y
x
\frac{d y}{d x}=\frac{5 y}{x}
d
x
d
y
=
x
5
y
\newline
Is
y
=
−
2
x
5
y=-2 x^{5}
y
=
−
2
x
5
a solution to the above equation?
\newline
Choose
1
1
1
answer:
\newline
(A) Yes
\newline
(B)
N
o
\mathrm{No}
No
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g
′
(
x
)
=
2
x
+
5
y
x
g^{\prime}(x)=\frac{2 x+5 y}{x}
g
′
(
x
)
=
x
2
x
+
5
y
\newline
Is
g
(
x
)
=
x
5
−
2
x
g(x)=x^{5}-2 x
g
(
x
)
=
x
5
−
2
x
a solution to the above equation?
\newline
Choose
1
1
1
answer:
\newline
(A) Yes
\newline
(B)
N
o
\mathrm{No}
No
Get tutor help
Can this differential equation be solved using separation of variables?
\newline
d
y
d
x
=
10
−
2
y
+
9
x
\frac{d y}{d x}=10-2 y+9 x
d
x
d
y
=
10
−
2
y
+
9
x
\newline
Choose
1
1
1
answer:
\newline
(A) Yes
\newline
(B) No
Get tutor help
