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Math Problems
Grade 8
Evaluate absolute value expressions
Solve for all values of
y
y
y
in simplest form.
\newline
36
=
∣
4
y
∣
36=|4 y|
36
=
∣4
y
∣
\newline
Answer:
y
=
y=
y
=
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Solve for all values of
c
c
c
in simplest form.
\newline
∣
c
+
25
∣
=
35
|c+25|=35
∣
c
+
25∣
=
35
\newline
Answer:
c
=
c=
c
=
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Solve for all values of
c
c
c
in simplest form.
\newline
∣
c
−
22
∣
=
45
|c-22|=45
∣
c
−
22∣
=
45
\newline
Answer:
c
=
c=
c
=
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Solve for all values of
c
c
c
in simplest form.
\newline
∣
2
c
∣
=
8
|2 c|=8
∣2
c
∣
=
8
\newline
Answer:
c
=
c=
c
=
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Solve for all values of
x
x
x
in simplest form.
\newline
8
=
∣
x
8
∣
8=\left|\frac{x}{8}\right|
8
=
∣
∣
8
x
∣
∣
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
y
y
y
in simplest form.
\newline
∣
y
7
∣
=
5
\left|\frac{y}{7}\right|=5
∣
∣
7
y
∣
∣
=
5
\newline
Answer:
y
=
y=
y
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
∣
x
5
∣
=
12
\left|\frac{x}{5}\right|=12
∣
∣
5
x
∣
∣
=
12
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
b
b
b
in simplest form.
\newline
∣
b
12
∣
=
9
\left|\frac{b}{12}\right|=9
∣
∣
12
b
∣
∣
=
9
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
12
=
∣
x
−
1
∣
12=|x-1|
12
=
∣
x
−
1∣
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
a
a
a
in simplest form.
\newline
3
=
∣
a
6
∣
3=\left|\frac{a}{6}\right|
3
=
∣
∣
6
a
∣
∣
\newline
Answer:
a
=
a=
a
=
Get tutor help
Solve for all values of
c
c
c
in simplest form.
\newline
∣
2
c
∣
=
2
|2 c|=2
∣2
c
∣
=
2
\newline
Answer:
c
=
c=
c
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
∣
x
−
13
∣
=
48
|x-13|=48
∣
x
−
13∣
=
48
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
a
a
a
in simplest form.
\newline
∣
a
+
21
∣
=
22
|a+21|=22
∣
a
+
21∣
=
22
\newline
Answer:
a
=
a=
a
=
Get tutor help
Solve for all values of
b
b
b
in simplest form.
\newline
∣
b
+
23
∣
=
46
|b+23|=46
∣
b
+
23∣
=
46
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve for all values of
y
y
y
in simplest form.
\newline
11
=
∣
y
−
22
∣
11=|y-22|
11
=
∣
y
−
22∣
\newline
Answer:
y
=
y=
y
=
Get tutor help
Solve for all values of
b
b
b
in simplest form.
\newline
∣
3
b
∣
=
24
|3 b|=24
∣3
b
∣
=
24
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve for all values of
y
y
y
in simplest form.
\newline
∣
y
−
6
∣
=
16
|y-6|=16
∣
y
−
6∣
=
16
\newline
Answer:
y
=
y=
y
=
Get tutor help
Solve for all values of
c
c
c
in simplest form.
\newline
72
=
∣
8
c
∣
72=|8 c|
72
=
∣8
c
∣
\newline
Answer:
c
=
c=
c
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
54
=
∣
6
x
∣
54=|6 x|
54
=
∣6
x
∣
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
y
y
y
in simplest form.
\newline
14
=
∣
y
+
9
∣
14=|y+9|
14
=
∣
y
+
9∣
\newline
Answer:
y
=
y=
y
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
9
=
∣
−
3
+
3
x
∣
9=|-3+3 x|
9
=
∣
−
3
+
3
x
∣
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
b
b
b
in simplest form.
\newline
∣
5
b
+
8
∣
=
16
|5 b+8|=16
∣5
b
+
8∣
=
16
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
16
=
∣
−
3
x
+
3
∣
16=|-3 x+3|
16
=
∣
−
3
x
+
3∣
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
a
a
a
in simplest form.
\newline
∣
4
a
+
2
∣
=
6
|4 a+2|=6
∣4
a
+
2∣
=
6
\newline
Answer:
a
=
a=
a
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
12
=
∣
5
x
−
15
∣
12=|5 x-15|
12
=
∣5
x
−
15∣
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
y
y
y
in simplest form.
\newline
63
=
∣
13
−
5
y
∣
63=|13-5 y|
63
=
∣13
−
5
y
∣
\newline
Answer:
y
=
y=
y
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
2
=
∣
4
x
+
6
∣
2=|4 x+6|
2
=
∣4
x
+
6∣
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
∣
−
5
x
+
14
∣
=
3
|-5 x+14|=3
∣
−
5
x
+
14∣
=
3
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
b
b
b
in simplest form.
\newline
∣
14
−
2
b
∣
=
3
|14-2 b|=3
∣14
−
2
b
∣
=
3
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve for all values of
y
y
y
in simplest form.
\newline
∣
4
−
3
y
∣
=
19
|4-3 y|=19
∣4
−
3
y
∣
=
19
\newline
Answer:
y
=
y=
y
=
Get tutor help
Solve for all values of
b
b
b
in simplest form.
\newline
∣
−
5
b
+
10
∣
=
40
|-5 b+10|=40
∣
−
5
b
+
10∣
=
40
\newline
Answer:
b
=
b=
b
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
∣
3
x
+
8
∣
=
11
|3 x+8|=11
∣3
x
+
8∣
=
11
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
4
=
∣
2
x
−
11
∣
4=|2 x-11|
4
=
∣2
x
−
11∣
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
y
y
y
in simplest form.
\newline
41
=
∣
−
1
+
5
y
∣
41=|-1+5 y|
41
=
∣
−
1
+
5
y
∣
\newline
Answer:
y
=
y=
y
=
Get tutor help
Solve for all values of
a
a
a
in simplest form.
\newline
∣
−
9
+
5
a
∣
=
54
|-9+5 a|=54
∣
−
9
+
5
a
∣
=
54
\newline
Answer:
a
=
a=
a
=
Get tutor help
Solve for all values of
x
x
x
in simplest form.
\newline
∣
x
+
6
∣
=
9
|x+6|=9
∣
x
+
6∣
=
9
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all values of
y
y
y
in simplest form.
\newline
∣
−
15
+
2
y
∣
=
6
|-15+2 y|=6
∣
−
15
+
2
y
∣
=
6
\newline
Answer:
y
=
y=
y
=
Get tutor help
Solve for all values of
b
b
b
in simplest form.
\newline
37
=
∣
5
b
+
3
∣
37=|5 b+3|
37
=
∣5
b
+
3∣
\newline
Answer:
b
=
b=
b
=
Get tutor help
If
∣
2
x
−
7
∣
≤
8
|2x-7| \leq 8
∣2
x
−
7∣
≤
8
, what is the greatest possible value of
∣
x
−
7
∣
|x-7|
∣
x
−
7∣
?
\newline
(A)
−
12
-12
−
12
\newline
(B)
0
0
0
\newline
(C)
12
12
12
\newline
(D)
152
152
152
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f
(
x
)
=
∣
x
+
2
∣
−
∣
x
+
1
∣
+
x
+
3
f(x) = |x + 2| - |x + 1| + x + 3
f
(
x
)
=
∣
x
+
2∣
−
∣
x
+
1∣
+
x
+
3
Get tutor help
Fill in the blank.
\newline
2
−
−
∣
2
∣
2_{--}|2|
2
−−
∣2∣
\newline
Choose
1
1
1
answer:
\newline
(A)
<
<
<
\newline
(B)
>
>
>
\newline
(c)
=
=
=
Get tutor help
What is
∣
8.5
∣
|8.5|
∣8.5∣
?
Get tutor help
Evaluate the expression for
t
=
0
t = 0
t
=
0
.
\newline
∣
−
4
−
t
∣
=
|-4 - t| =
∣
−
4
−
t
∣
=
_____
Get tutor help
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