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Math Problems
Algebra 2
Evaluate variable expressions involving rational numbers
Evaluate each expression for
a
=
20
a=20
a
=
20
and
b
=
4
b=4
b
=
4
:
\newline
a
b
\frac{a}{b}
b
a
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
x
+
7
−
4
=
1
2
(
2
x
−
4
)
+
6
x+7-4=\frac{1}{2}(2 x-4)+6
x
+
7
−
4
=
2
1
(
2
x
−
4
)
+
6
\newline
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Evaluate the expression for
n
=
−
1
n = -1
n
=
−
1
.
\newline
Write your answer as a decimal or whole number.
\newline
−
12.3
n
−
4
=
-12.3n - 4 =
−
12.3
n
−
4
=
_____
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Evaluate the expression for
m
=
−
2
m = -2
m
=
−
2
and
n
=
−
0.6
n = -0.6
n
=
−
0.6
.
\newline
Write your answer as a decimal or whole number.
\newline
m
n
−
n
=
mn - n =
mn
−
n
=
_____
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Evaluate the expression for
u
=
−
0.7
u = -0.7
u
=
−
0.7
and
v
=
−
1
v = -1
v
=
−
1
.
\newline
Write your answer as a decimal or whole number.
\newline
u
v
=
uv =
uv
=
_____
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Evaluate the expression for
t
=
−
6
t = -6
t
=
−
6
. Simplify your answer.
\newline
t
2
=
\frac{t}{2}=
2
t
=
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Evaluate the expression for
u
=
0.9
u = 0.9
u
=
0.9
.
\newline
Write your answer as a decimal or whole number.
\newline
8
−
10
u
=
8 - 10u =
8
−
10
u
=
_____
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Evaluate the expression for
u
=
0.2
u = 0.2
u
=
0.2
and
v
=
3
v = 3
v
=
3
.
\newline
Write your answer as a decimal or whole number.
\newline
10.2
u
v
=
10.2uv =
10.2
uv
=
_____
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Evaluate the expression for
f
=
−
1.4
f = -1.4
f
=
−
1.4
.
\newline
Write your answer as a decimal or whole number.
\newline
−
2
−
8
f
=
-2 - 8f =
−
2
−
8
f
=
_____
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Evaluate the expression for
f
=
5
f = 5
f
=
5
and
g
=
−
12
g = -12
g
=
−
12
.
\newline
Write your answer as a decimal or whole number.
\newline
−
0.1
f
g
=
-0.1fg =
−
0.1
f
g
=
_____
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Evaluate the expression for
f
=
−
7
f = -7
f
=
−
7
. Simplify your answer.
\newline
f
7
=
\frac{f}{7} =
7
f
=
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Evaluate the expression for
j
=
−
6
j = -6
j
=
−
6
.
\newline
Write your answer as a decimal or whole number.
\newline
12
+
1.2
j
=
12 + 1.2j =
12
+
1.2
j
=
_____
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Evaluate the expression for
t
=
19
t = 19
t
=
19
. Simplify your answer.
\newline
−
18
t
−
18
=
-\frac{18}{t} - 18 =
−
t
18
−
18
=
_____
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Evaluate the expression for
x
=
−
18
x = -18
x
=
−
18
and
y
=
−
1
y = -1
y
=
−
1
. Simplify your answer.
\newline
x
y
3
=
\frac{xy}{3} =
3
x
y
=
_
_
_
\_\_\_
___
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Evaluate the expression for
y
=
2.7
y = 2.7
y
=
2.7
.
\newline
Write your answer as a decimal or whole number.
\newline
y
−
12
=
y - 12 =
y
−
12
=
_____
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Evaluate the expression for
g
=
−
1
g = -1
g
=
−
1
.
\newline
Write your answer as a decimal or whole number.
\newline
7
+
15.4
g
=
7 + 15.4g =
7
+
15.4
g
=
_____
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Evaluate the expression for
u
=
−
0.4
u = -0.4
u
=
−
0.4
and
v
=
−
9
v = -9
v
=
−
9
.
\newline
Write your answer as a decimal or whole number.
\newline
−
2
u
v
=
-2uv =
−
2
uv
=
_____
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Evaluate the expression for
s
=
−
16
s = -16
s
=
−
16
and
t
=
12
t = 12
t
=
12
. Simplify your answer.
\newline
t
s
+
t
=
\frac{t}{s} + t =
s
t
+
t
=
_
_
_
_
\_\_\_\_
____
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Evaluate the expression for
k
=
9
k = 9
k
=
9
and
m
=
−
8
m = -8
m
=
−
8
. Simplify your answer.
\newline
k
m
9
=
\frac{km}{9} =
9
km
=
_
_
_
_
\_\_\_\_
____
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Evaluate the expression for
j
=
12
j = 12
j
=
12
and
k
=
−
12
k = -12
k
=
−
12
. Simplify your answer.
\newline
j
−
k
j
=
\frac{j - k}{j} =
j
j
−
k
=
_
_
_
_
\_\_\_\_
____
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Evaluate the expression for
w
=
−
5
w = -5
w
=
−
5
. Simplify your answer.
\newline
−
10
w
-\frac{10}{w}
−
w
10
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Evaluate the expression for
r
=
−
7.9
r = -7.9
r
=
−
7.9
and
s
=
−
2
s = -2
s
=
−
2
.
\newline
Write your answer as a decimal or whole number.
\newline
r
s
−
s
=
rs - s =
rs
−
s
=
_____
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Evaluate the expression for
r
=
−
4
r = -4
r
=
−
4
.
\newline
Write your answer as a decimal or whole number.
\newline
8
+
4.8
r
=
8 + 4.8r =
8
+
4.8
r
=
_____
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Evaluate the expression for
v
=
−
5
v = -5
v
=
−
5
. Simplify your answer.
\newline
v
+
20
v
=
v + \frac{20}{v} =
v
+
v
20
=
_
_
_
_
\_\_\_\_
____
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Evaluate the expression for
n
=
−
6
n = -6
n
=
−
6
. Simplify your answer.
\newline
n
3
=
\frac{n}{3} =
3
n
=
_
_
_
_
_
\_\_\_\_\_
_____
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Evaluate the expression for
s
=
−
5
s = -5
s
=
−
5
.
\newline
Write your answer as a decimal or whole number.
\newline
4.6
−
s
=
4.6 - s =
4.6
−
s
=
_____
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Evaluate the expression for
x
=
−
3
x = -3
x
=
−
3
and
y
=
−
6
y = -6
y
=
−
6
.
\newline
Write your answer as a decimal or whole number.
\newline
x
−
y
+
5.8
=
x - y + 5.8 =
x
−
y
+
5.8
=
_____
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Evaluate the expression for
m
=
−
10
m = -10
m
=
−
10
and
n
=
−
2.5
n = -2.5
n
=
−
2.5
.
\newline
Write your answer as a decimal or whole number.
\newline
m
−
n
=
m - n =
m
−
n
=
_____
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Evaluate the expression for
k
=
−
0.6
k = -0.6
k
=
−
0.6
.
\newline
Write your answer as a decimal or whole number.
\newline
8
−
9.1
k
=
8 - 9.1k =
8
−
9.1
k
=
_____
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Solve for
x
x
x
.
\newline
x
+
(
5
⋅
(
−
3
)
)
−
10
=
−
23
x + (5 \cdot (-3)) - 10 = -23
x
+
(
5
⋅
(
−
3
))
−
10
=
−
23
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If
2
+
7
z
=
−
z
−
4
2+7z=-z-4
2
+
7
z
=
−
z
−
4
, what is the value of
z
z
z
?
\newline
Choose
1
1
1
answer:
\newline
(A)
z
=
−
1
z=-1
z
=
−
1
\newline
(B)
z
=
−
3
4
z=-\frac{3}{4}
z
=
−
4
3
\newline
(C)
z
=
−
1
3
z=-\frac{1}{3}
z
=
−
3
1
\newline
(D)
z
=
−
1
4
z=-\frac{1}{4}
z
=
−
4
1
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Rewrite the expression in the form
k
⋅
z
n
k \cdot z^{n}
k
⋅
z
n
.
\newline
Write the exponent as an integer, fraction, or an exact decimal (not a mixed number).
\newline
3
z
4
⋅
3
z
3
4
=
3 \sqrt[4]{z} \cdot 3 z^{\frac{3}{4}}=
3
4
z
⋅
3
z
4
3
=
Get tutor help
(
10
−
22
i
)
+
(
22
i
)
=
(10-22 i)+(22 i)=
(
10
−
22
i
)
+
(
22
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help