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Math Problems
Grade 8
Describe the graph of a linear equation
For the given equation, find the slope and the
y
y
y
-intercept. Use these to graph the equation.
\newline
5
x
+
6
y
=
42
5 x+6 y=42
5
x
+
6
y
=
42
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3
x
+
2
y
=
10
3x+2y=10
3
x
+
2
y
=
10
. Find value of
y
y
y
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cos
0
,
5
x
=
−
1
\cos 0,5 x=-1
cos
0
,
5
x
=
−
1
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If
(
3
−
2
i
)
(
3
−
i
)
(
2
+
i
)
=
a
+
i
b
(3-2i)(3-i)(2+i)=a+ib
(
3
−
2
i
)
(
3
−
i
)
(
2
+
i
)
=
a
+
ib
, where
a
a
a
and
b
b
b
are real numbers and the imaginary number
i
i
i
is such that
i
2
=
−
1
i^2=-1
i
2
=
−
1
, what is the value of
(
2
a
+
3
b
)
(2a+3b)
(
2
a
+
3
b
)
?
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3
x
−
6
=
18
3 x-6=18
3
x
−
6
=
18
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Which ordered pair is a solution of the equation?
\newline
5
x
−
2
y
=
18
5 x-2 y=18
5
x
−
2
y
=
18
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−
3
x
+
y
=
1
-3 x+y=1
−
3
x
+
y
=
1
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−
4
x
=
.
8
-4 x=.8
−
4
x
=
.8
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x
+
2
x
=
15
x+2x=15
x
+
2
x
=
15
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2
x
2
+
3
x
=
14
2x^2 + 3x = 14
2
x
2
+
3
x
=
14
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4
x
−
15
+
75
=
180
4x-15+75=180
4
x
−
15
+
75
=
180
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Prove that
cot
2
θ
+
tan
2
θ
=
2
sin
4
θ
\cot 2\theta + \tan 2\theta = 2\sin 4\theta
cot
2
θ
+
tan
2
θ
=
2
sin
4
θ
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3
x
+
2
y
=
−
9
3x + 2y = -9
3
x
+
2
y
=
−
9
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Graph:
\newline
y
=
5
x
−
3
y=5 x-3
y
=
5
x
−
3
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7
7
7
.
4
x
+
y
=
−
8
4 x+y=-8
4
x
+
y
=
−
8
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emaining
0
0
0
:
13
13
13
:
41
41
41
\newline
ve the following:
\newline
2
(
5
x
−
3
)
=
24
2(5 x-3)=24
2
(
5
x
−
3
)
=
24
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Which of the following represents the graph of the equation
x
−
0.6
=
−
0.4
(
y
−
1.5
)
?
x-0.6=-0.4(y-1.5) ?
x
−
0.6
=
−
0.4
(
y
−
1.5
)?
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Which of the following represents the graph of the equation
x
−
0.6
=
−
0.4
(
y
−
1.5
)
x-0.6=-0.4(y-1.5)
x
−
0.6
=
−
0.4
(
y
−
1.5
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
(B)
\newline
(C)
\newline
(D)
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−
3
x
−
8
=
10
-3 x-8=10
−
3
x
−
8
=
10
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x
−
2
y
=
0
x - 2y = 0
x
−
2
y
=
0
, which of the following correctly gives
y
y
y
in terms of
x
x
x
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Valu\'e of
X
X
X
in
X
−
83
=
125
X-83=125
X
−
83
=
125
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9
x
+
3
y
=
−
27
9x+3y=-27
9
x
+
3
y
=
−
27
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1
1
1
.]
x
−
12
=
14
x-12=14
x
−
12
=
14
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9
x
−
2
6
=
633
\frac{9x-2}{6}=633
6
9
x
−
2
=
633
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c)
4
x
=
400
4 x=400
4
x
=
400
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What is the value of x?
\newline
3
:
11
:
:
27
:
x
3 : 11 :: 27 : x
3
:
11
::
27
:
x
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2
(
x
−
16
)
+
1
=
41
2(x-16)+1=41
2
(
x
−
16
)
+
1
=
41
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4
x
+
3
x
=
28
4 x+3 x=28
4
x
+
3
x
=
28
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3
y
+
11
y
=
28
3 y+11 y=28
3
y
+
11
y
=
28
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1
x
+
8
y
=
569
z
1 x+8 y=569 z
1
x
+
8
y
=
569
z
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7
x
+
8
y
=
569
z
7 x+8 y=569 z
7
x
+
8
y
=
569
z
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a)
5
N
=
0.01
(
N
−
76
)
5 N=0.01(N-76)
5
N
=
0.01
(
N
−
76
)
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y
=
x
−
2
y=x-2
y
=
x
−
2
and
x
2
+
y
2
=
52
x^2+y^2=52
x
2
+
y
2
=
52
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15
x
−
10
=
20
15x-10=20
15
x
−
10
=
20
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−
4
x
=
64
-4x=64
−
4
x
=
64
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(
x
−
10
)
2
=
121
(x-10)^2 = 121
(
x
−
10
)
2
=
121
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1
1
1
. Solve the following system of equations by graphing:
\newline
i.
12
x
−
6
y
=
6
12 x-6 y=6
12
x
−
6
y
=
6
\newline
ii.
4
x
−
2
y
=
8
4 x-2 y=8
4
x
−
2
y
=
8
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\begin{tabular}{|c|c|}
\newline
\hline
x
x
x
&
y
y
y
\\
\newline
\hline
−
2
-2
−
2
&
−
1
-1
−
1
\\
\newline
\hline
0
0
0
&
0
0
0
\\
\newline
\hline
2
2
2
&
1
1
1
\\
\newline
\hline
\newline
\end{tabular}
\newline
Which graph best represents the line defined by the table of ordered pairs?
\newline
G
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How do you graph
24
x
+
32
y
=
264
24x+32y=264
24
x
+
32
y
=
264
and
x
+
y
=
9
x+y=9
x
+
y
=
9
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9
−
4
(
2
p
−
1
)
=
45
9-4(2 p-1)=45
9
−
4
(
2
p
−
1
)
=
45
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5
x
+
2
x
−
8
=
16
5x+2x-8=16
5
x
+
2
x
−
8
=
16
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X
×
X
=
64
X \times X = 64
X
×
X
=
64
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What is the slope of the line represented by the equation
3
x
+
4
y
=
7
3x+4y=7
3
x
+
4
y
=
7
?
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x
x
x
and
y
y
y
intercept of
3
x
−
4
y
=
24
3x-4y=24
3
x
−
4
y
=
24
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The equation
5
x
+
10
y
=
30
5x+10y = 30
5
x
+
10
y
=
30
is graphed in the
x
y
xy
x
y
-plane. Which of the statements below is true of its graph?
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5
5
5
.) Find the intercepts of each equation and graph
\newline
3
x
−
5
y
=
30
3 x-5 y=30
3
x
−
5
y
=
30
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4
4
4
.) Find the intercepts of each equation and greph
2
x
+
3
y
=
−
12
2 x+3 y=-12
2
x
+
3
y
=
−
12
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Graph each Linear equation the table point-plotting method
\newline
1
1
1
.)
y
=
2
x
y=2 x
y
=
2
x
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6
x
=
108
6x=108
6
x
=
108
, if
x
=
18
x=18
x
=
18
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2
x
+
3
y
=
100
,
5
y
−
25
=
5
2x+3y=100, 5y-25=5
2
x
+
3
y
=
100
,
5
y
−
25
=
5
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1
2
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