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Math Problems
Algebra 2
Solve linear inequalities
Solve the inequality:
\newline
11
+
4
x
>
29
11+4 x>29
11
+
4
x
>
29
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Solve for
x
x
x
.
\newline
8
(
x
−
1
)
=
z
8(x-1)=z
8
(
x
−
1
)
=
z
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Solve for
u
u
u
.
\newline
−
9
u
>
−
3
u
+
6
-9u > -3u + 6
−
9
u
>
−
3
u
+
6
\newline
Write your answer with
u
u
u
first, followed by an inequality symbol.
\newline
______
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Solve for
v
v
v
.
\newline
−
3
v
<
−
2
v
+
7
-3v < -2v + 7
−
3
v
<
−
2
v
+
7
\newline
Write your answer with
v
v
v
first, followed by an inequality symbol.
\newline
______
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Solve for
u
u
u
.
\newline
−
u
≤
u
+
10
-u \leq u + 10
−
u
≤
u
+
10
\newline
Write your answer with
u
u
u
first, followed by an inequality symbol.
\newline
______
\newline
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Solve for
n
n
n
.
\newline
−
2
n
≤
−
8
+
2
n
-2n \leq -8 + 2n
−
2
n
≤
−
8
+
2
n
\newline
Write your answer with
n
n
n
first, followed by an inequality symbol.
\newline
______
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4
(
5
+
x
)
>
3
y
4(5+x)>3y
4
(
5
+
x
)
>
3
y
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2
(
x
+
4
)
>
−
12
2(x+4)>-12
2
(
x
+
4
)
>
−
12
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(
15
15
15
)
0
=
12
m
+
60
0=12 m+60
0
=
12
m
+
60
\newline
(
10
)
(10)
(
10
)
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2
(
3
x
+
1
)
=
5
(
2
x
−
3
)
2(3x+1)=5(2x-3)
2
(
3
x
+
1
)
=
5
(
2
x
−
3
)
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Simplify the algebraic expression
5
(
2
x
−
3
)
+
7
5(2x-3)+7
5
(
2
x
−
3
)
+
7
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Solve for
w
w
w
.
\newline
2
(
w
+
4
)
≤
−
16
2(w + 4) \leq -16
2
(
w
+
4
)
≤
−
16
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Solve for
u
u
u
.
\newline
11
(
u
+
1
)
≤
−
11
11(u + 1) \leq -11
11
(
u
+
1
)
≤
−
11
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Solve for
t
t
t
.
\newline
−
20
t
+
17
<
9
t
+
8
(
−
10
t
−
17
)
-20t + 17 < 9t + 8(-10t - 17)
−
20
t
+
17
<
9
t
+
8
(
−
10
t
−
17
)
\newline
Write your answer with
t
t
t
first, followed by an inequality symbol.
\newline
______
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Solve for
p
p
p
.
\newline
4
(
18
+
12
p
)
<
−
6
(
−
6
p
+
6
)
4(18 + 12p) < -6(-6p + 6)
4
(
18
+
12
p
)
<
−
6
(
−
6
p
+
6
)
\newline
Write your answer with
p
p
p
first, followed by an inequality symbol.
\newline
______
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Solve for
b
b
b
.
\newline
2
(
b
+
8
)
≥
8
2(b + 8) \geq 8
2
(
b
+
8
)
≥
8
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Solve for
v
v
v
.
\newline
18
v
+
4
(
−
9
v
+
10
)
<
16
+
20
−
19
v
18v + 4(-9v + 10) < 16 + 20 - 19v
18
v
+
4
(
−
9
v
+
10
)
<
16
+
20
−
19
v
\newline
Write your answer with
v
v
v
first, followed by an inequality symbol.
\newline
______
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Solve for
z
z
z
.
\newline
11
(
z
−
15
)
>
−
11
11(z - 15) > -11
11
(
z
−
15
)
>
−
11
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Solve for
w
w
w
.
\newline
−
5
−
w
−
10
≤
16
−
9
(
w
−
9
)
-5 - w - 10 \leq 16 - 9(w - 9)
−
5
−
w
−
10
≤
16
−
9
(
w
−
9
)
\newline
Write your answer with
w
w
w
first, followed by an inequality symbol.
\newline
______
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Solve for
u
u
u
.
\newline
4
(
u
+
5
)
−
2
>
−
6
4(u + 5) - 2 > -6
4
(
u
+
5
)
−
2
>
−
6
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Solve for
q
q
q
.
\newline
2
(
q
+
12
)
≤
−
16
2(q + 12) \leq -16
2
(
q
+
12
)
≤
−
16
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Solve for
s
s
s
.
\newline
−
4
(
20
+
5
s
)
≤
−
5
(
12
s
+
8
)
-4(20 + 5s) \leq -5(12s + 8)
−
4
(
20
+
5
s
)
≤
−
5
(
12
s
+
8
)
\newline
Write your answer with
s
s
s
first, followed by an inequality symbol.
\newline
______
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Solve for
z
z
z
.
\newline
3
(
z
+
8
)
>
6
3(z + 8) > 6
3
(
z
+
8
)
>
6
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Solve for
c
c
c
.
−
10
c
<
−
6
(
2
c
+
13
)
-10c < -6(2c + 13)
−
10
c
<
−
6
(
2
c
+
13
)
\newline
Write your answer with
c
c
c
first, followed by an inequality symbol.
\newline
______
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Solve for
y
y
y
.
\newline
−
20
+
19
y
−
18
≤
−
9
(
−
y
−
18
)
-20 + 19y - 18 \leq -9(-y - 18)
−
20
+
19
y
−
18
≤
−
9
(
−
y
−
18
)
\newline
Write your answer with
y
y
y
first, followed by an inequality symbol.
\newline
______
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Solve for
z
z
z
.
\newline
7
(
z
−
5
)
>
−
7
7(z - 5) > -7
7
(
z
−
5
)
>
−
7
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Solve for
j
j
j
.
\newline
3
j
+
12
≤
−
9
(
j
+
20
)
3j + 12 \leq -9(j + 20)
3
j
+
12
≤
−
9
(
j
+
20
)
\newline
Write your answer with
j
j
j
first, followed by an inequality symbol.
\newline
______
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Solve for
b
b
b
.
\newline
b
−
5
2
<
−
1
b - \frac{5}{2} < -1
b
−
2
5
<
−
1
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Solve for
b
b
b
.
\newline
−
18
b
>
17
b
−
7
(
10
b
+
10
)
-18b > 17b - 7(10b + 10)
−
18
b
>
17
b
−
7
(
10
b
+
10
)
\newline
Write your answer with
b
b
b
first, followed by an inequality symbol.
\newline
______
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Solve for
p
p
p
.
\newline
6
(
−
9
p
+
9
)
≤
3
(
3
−
19
p
)
6(-9p + 9) \leq 3(3 - 19p)
6
(
−
9
p
+
9
)
≤
3
(
3
−
19
p
)
\newline
Write your answer with
p
p
p
first, followed by an inequality symbol.
\newline
______
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Solve for
b
b
b
.
\newline
8
(
−
4
b
−
9
)
+
16
b
<
−
12
−
20
b
8(-4b - 9) + 16b < -12 - 20b
8
(
−
4
b
−
9
)
+
16
b
<
−
12
−
20
b
\newline
Write your answer with
b
b
b
first, followed by an inequality symbol.
\newline
______
Get tutor help
Solve for
y
y
y
.
\newline
y
+
8
3
<
−
3
y + \frac{8}{3} < -3
y
+
3
8
<
−
3
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Solve for
a
a
a
.
\newline
2
(
a
−
12
)
>
−
10
2(a - 12) > -10
2
(
a
−
12
)
>
−
10
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Solve for
q
q
q
.
\newline
4
(
q
+
6
)
+
3
≤
11
4(q + 6) + 3 \leq 11
4
(
q
+
6
)
+
3
≤
11
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
−
9
x
−
9
(
−
4
x
−
1
)
=
−
8
+
9
(
3
x
+
2
)
-9 x-9(-4 x-1)=-8+9(3 x+2)
−
9
x
−
9
(
−
4
x
−
1
)
=
−
8
+
9
(
3
x
+
2
)
\newline
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
2
(
−
7
x
+
9
)
−
3
=
−
4
x
−
2
(
5
x
−
8
)
2(-7 x+9)-3=-4 x-2(5 x-8)
2
(
−
7
x
+
9
)
−
3
=
−
4
x
−
2
(
5
x
−
8
)
\newline
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d.
2
(
3
p
+
1
)
>
−
4
2(3 p+1)>-4
2
(
3
p
+
1
)
>
−
4
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(
4
4
4
) Solve
−
0.4
k
−
6
=
1.2
-0.4 k-6=1.2
−
0.4
k
−
6
=
1.2
. Show your work.
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5
(
1
−
3
x
)
−
7
5(1-3x)-7
5
(
1
−
3
x
)
−
7
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5
5
5
. Solve.
\newline
2
(
2
x
−
1
)
−
(
y
−
4
)
=
11
3
(
1
−
x
)
−
2
(
y
−
3
)
=
−
7
\begin{array}{l} 2(2 x-1)-(y-4)=11 \\ 3(1-x)-2(y-3)=-7 \end{array}
2
(
2
x
−
1
)
−
(
y
−
4
)
=
11
3
(
1
−
x
)
−
2
(
y
−
3
)
=
−
7
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3
×
(
x
+
4
)
3 \times (x +4)
3
×
(
x
+
4
)
, for
x
=
5
x = 5
x
=
5
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Find
X
X
X
if
2
(
x
+
1
)
3
=
1
\frac{2(x+1)}{3} = 1
3
2
(
x
+
1
)
=
1
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rac{
3
3
3
}{
4
4
4
}(x+
8
8
8
)=
9
9
9
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14
(
z
+
3
)
=
14
z
+
21
14(z+3)=14z+21
14
(
z
+
3
)
=
14
z
+
21
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How can I solve
−
3
(
x
+
1
)
-3(x+1)
−
3
(
x
+
1
)
divided by
−
2
-2
−
2
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Solve for
y
y
y
.
\newline
y
−
11
2
<
−
3
\frac{y-11}{2}<-3
2
y
−
11
<
−
3
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Solve for
g
g
g
.
\newline
15
+
5
(
7
g
+
17
)
<
14
g
+
5
+
16
g
15+5(7 g+17)<14 g+5+16 g
15
+
5
(
7
g
+
17
)
<
14
g
+
5
+
16
g
\newline
Write your answer with g first, followed by an inequality symbol.
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Solve.
\newline
3
(
z
+
2
)
=
9
3(z+2)=9
3
(
z
+
2
)
=
9
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2
(
4
2
+
4
)
2\left(\frac{4}{2}+4\right)
2
(
2
4
+
4
)
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Solve for
m
m
m
.
\newline
m
+
3
>
−
4
m + 3 > -4
m
+
3
>
−
4
or
m
+
2
≤
−
12
m + 2 \leq -12
m
+
2
≤
−
12
\newline
Write your answer as a compound inequality with integers.
\newline
Choices:
\newline
(A)
m
>
−
1
m > -1
m
>
−
1
or
m
≤
−
14
m \leq -14
m
≤
−
14
\newline
(B)
m
>
−
7
m > -7
m
>
−
7
or
m
≤
−
10
m \leq -10
m
≤
−
10
\newline
(C)
m
>
−
1
m > -1
m
>
−
1
or
m
≤
−
10
m \leq -10
m
≤
−
10
\newline
(D)
m
>
−
7
m > -7
m
>
−
7
or
m
≤
−
14
m \leq -14
m
≤
−
14
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2
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