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Math Problems
Algebra 1
Solve two-step linear inequalities
GIVEN: \Varangle 1 is complementary to \Varangle 3 \Varangle 2 is complementary to
$
4
\$ 4
$4
PROVE: \quad 1 \cong \Varangle 2
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−
3
-3
−
3
x -
8
8
8
<
23
23
23
OR
−
4
-4
−
4
x +
26
26
26
>
6
6
6
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Combine like terms to create an equivalent expression. [
−
5
-5
−
5
.
8
8
8
c+
4
4
4
.
2
2
2
−
3
-3
−
3
.
1
1
1
+
1
1
1
.
4
4
4
c]
\newline
A)
−
4
-4
−
4
.
4
4
4
c +
1
1
1
.
1
1
1
\newline
B)
−
4
-4
−
4
.
4
4
4
c +
1
1
1
.
3
3
3
\newline
C)
−
4
-4
−
4
.
4
4
4
c +
1
1
1
.
2
2
2
\newline
D)
−
4
-4
−
4
.
4
4
4
c +
1
1
1
.
4
4
4
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Solve for
b
b
b
:
2
<
b
−
9
2 < b - 9
2
<
b
−
9
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Solve for
h
h
h
.
\newline
5
+
−
4
h
<
9
5 + -4h < 9
5
+
−
4
h
<
9
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Solve for
s
s
s
.
\newline
9
+
3
s
≤
3
9 + 3s \leq 3
9
+
3
s
≤
3
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Solve for
u
u
u
.
\newline
10
+
3
u
≤
1
10 + 3u \leq 1
10
+
3
u
≤
1
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Which statement describes the expression
9
(
s
+
25
)
9(s+25)
9
(
s
+
25
)
?
\newline
a)
25
25
25
more than
9
9
9
plus
s
s
s
\newline
b)
9
9
9
times the quantity
s
s
s
plus
25
25
25
\newline
c)
9
9
9
times the quantity
s
s
s
times
25
25
25
\newline
d)
25
25
25
more than
9
9
9
times
s
s
s
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Solve for
x
x
x
:
2
x
>
8
2x > 8
2
x
>
8
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Solve for
m
m
m
.
\newline
12.6
+
4
m
=
9.6
+
8
m
m
=
\begin{array}{l} 12.6+4 m=9.6+8 m \\ m= \end{array}
12.6
+
4
m
=
9.6
+
8
m
m
=
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Solve:
5
x
2
−
3
x
2
x
+
4
\frac{5x}{2}-\frac{3x}{2x}+4
2
5
x
−
2
x
3
x
+
4
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3
x
<
5
x
+
1
<
16
3x<5x+1<16
3
x
<
5
x
+
1
<
16
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derivative of
2
sin
x
+
3
cos
x
2 \sin x + \frac{3}{\cos x}
2
sin
x
+
c
o
s
x
3
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2
f
−
1
≥
3
2 f-1 \geq 3
2
f
−
1
≥
3
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Which expression is equivalent to
2.5
n
−
9.9
+
8.8
n
+
2.8
?
2.5 n-9.9+8.8 n+2.8 ?
2.5
n
−
9.9
+
8.8
n
+
2.8
?
\newline
−
6.3
n
−
7.1
-6.3 n-7.1
−
6.3
n
−
7.1
\newline
11.3
n
−
7.1
11.3 n-7.1
11.3
n
−
7.1
\newline
−
6.3
n
−
12.7
-6.3 n-12.7
−
6.3
n
−
12.7
\newline
−
7.4
n
+
11.6
-7.4 n+11.6
−
7.4
n
+
11.6
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Solve for
y
y
y
.
\newline
−
1
y
−
5
<
−
4
-1y - 5 < -4
−
1
y
−
5
<
−
4
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Solve for
k
k
k
.
\newline
1
−
3
k
≥
10
1 - 3k \geq 10
1
−
3
k
≥
10
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Solve for
g
g
g
.
\newline
8
+
−
1
g
>
4
8 + -1g > 4
8
+
−
1
g
>
4
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Solve for
y
y
y
.
\newline
8
+
2
y
>
2
8 + 2y > 2
8
+
2
y
>
2
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Solve for
k
k
k
.
\newline
−
1
k
+
1
<
−
1
-1k + 1 < -1
−
1
k
+
1
<
−
1
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Solve for
v
v
v
.
\newline
−
1
v
+
8
≥
6
-1v + 8 \geq 6
−
1
v
+
8
≥
6
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Solve for
p
p
p
.
\newline
5
p
+
7
≤
2
5p + 7 \leq 2
5
p
+
7
≤
2
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Solve for
w
w
w
.
\newline
2
w
+
10
≥
8
2w + 10 \geq 8
2
w
+
10
≥
8
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Solve for
g
g
g
.
\newline
2
−
7
g
<
9
2 - 7g < 9
2
−
7
g
<
9
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Solve for
h
h
h
.
\newline
1
−
8
h
>
9
1 - 8h > 9
1
−
8
h
>
9
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Solve for
q
q
q
.
\newline
1
−
4
q
≥
9
1 - 4q \geq 9
1
−
4
q
≥
9
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Solve for
w
w
w
.
\newline
−
2
w
+
1
>
−
7
-2w + 1 > -7
−
2
w
+
1
>
−
7
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Solve for
s
s
s
.
\newline
8
+
2
s
≥
2
8 + 2s \geq 2
8
+
2
s
≥
2
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Solve for
b
b
b
.
\newline
−
7
+
−
1
b
≤
−
10
-7 + -1b \leq -10
−
7
+
−
1
b
≤
−
10
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Solve for
w
w
w
.
\newline
5
w
−
8
>
2
5w - 8 > 2
5
w
−
8
>
2
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Solve for
z
z
z
.
\newline
1
−
−
2
z
≤
7
1 - -2z \leq 7
1
−
−
2
z
≤
7
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Solve for
y
y
y
.
\newline
9
−
4
y
>
1
9 - 4y > 1
9
−
4
y
>
1
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Solve for
a
a
a
.
\newline
2
−
8
a
≥
10
2 - 8a \geq 10
2
−
8
a
≥
10
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Solve for
t
t
t
.
\newline
−
2
t
−
1
≤
−
9
-2t - 1 \leq -9
−
2
t
−
1
≤
−
9
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Solve for
h
h
h
.
\newline
5
−
5
h
≥
10
5 - 5h \geq 10
5
−
5
h
≥
10
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Solve for
a
a
a
.
\newline
1
−
−
1
a
≤
6
1 - -1a \leq 6
1
−
−
1
a
≤
6
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Solve for
y
y
y
.
\newline
3
+
−
7
y
<
10
3 + -7y < 10
3
+
−
7
y
<
10
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Solve for
b
b
b
.
\newline
−
3
−
−
1
b
≤
−
5
-3 - -1b \leq -5
−
3
−
−
1
b
≤
−
5
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Solve for
k
k
k
.
\newline
−
1
k
+
5
≤
2
-1k + 5 \leq 2
−
1
k
+
5
≤
2
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Solve for
b
b
b
.
\newline
6
−
−
1
b
>
−
1
6 - -1b > -1
6
−
−
1
b
>
−
1
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Solve for
z
z
z
.
\newline
−
4
+
2
z
≥
2
-4 + 2z \geq 2
−
4
+
2
z
≥
2
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Solve for
k
k
k
.
\newline
−
10
+
−
9
k
≤
−
1
-10 + -9k \leq -1
−
10
+
−
9
k
≤
−
1
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Solve for
k
k
k
.
\newline
3
k
+
8
≥
5
3k + 8 \geq 5
3
k
+
8
≥
5
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Solve for
y
y
y
.
\newline
1
−
3
y
≤
10
1 - 3y \leq 10
1
−
3
y
≤
10
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Solve for
k
k
k
.
\newline
−
1
+
−
1
k
<
−
4
-1 + -1k < -4
−
1
+
−
1
k
<
−
4
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Solve for
q
q
q
.
1
−
2
q
>
9
1 - 2q > 9
1
−
2
q
>
9
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Solve for
g
g
g
.
−
9
−
(
−
2
g
)
≤
1
-9 - (-2g) \leq 1
−
9
−
(
−
2
g
)
≤
1
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Solve for
q
q
q
.
10
+
9
q
≤
1
10 + 9q \leq 1
10
+
9
q
≤
1
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Solve for
k
k
k
.
−
8
k
−
7
>
1
-8k - 7 > 1
−
8
k
−
7
>
1
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Solve for
d
d
d
.
2
−
4
d
>
10
2 - 4d > 10
2
−
4
d
>
10
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1
2
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