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Math Problems
Algebra 2
Evaluate rational expressions II
Solve the formula
A
=
1
2
h
(
a
+
b
)
A=\frac{1}{2} h(a+b)
A
=
2
1
h
(
a
+
b
)
for
a
a
a
.
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Evaluate the expression for
u
=
8.2
u = 8.2
u
=
8.2
.
\newline
Write your answer in simplest form.
\newline
u
−
4
−
u
+
9
=
\frac{u - 4}{-u + 9} =
−
u
+
9
u
−
4
=
__
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Evaluate the expression for
r
=
−
1.5
r = -1.5
r
=
−
1.5
.
\newline
Write your answer in simplest form.
\newline
r
−
3
−
r
−
6
=
\frac{r - 3}{-r - 6} =
−
r
−
6
r
−
3
=
__
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Evaluate the expression for
b
=
7.6
b = 7.6
b
=
7.6
.
\newline
Write your answer in simplest form.
\newline
b
−
10
−
b
+
7
=
\frac{b - 10}{-b + 7} =
−
b
+
7
b
−
10
=
__
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Evaluate the expression for
s
=
4.4
s = 4.4
s
=
4.4
.
\newline
Write your answer in simplest form.
\newline
s
−
5
−
s
+
6
=
\frac{s - 5}{-s + 6} =
−
s
+
6
s
−
5
=
__
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Evaluate the expression for
b
=
5.8
b = 5.8
b
=
5.8
.
\newline
Write your answer in simplest form.
\newline
b
−
4
−
b
+
7
=
\frac{b - 4}{-b + 7} =
−
b
+
7
b
−
4
=
__
Get tutor help
Evaluate the expression for
p
=
−
1.4
p = -1.4
p
=
−
1.4
.
\newline
Write your answer in simplest form.
\newline
p
−
6
−
p
+
5
=
\frac{p - 6}{-p + 5} =
−
p
+
5
p
−
6
=
__
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Evaluate the expression for
p
=
6.6
p = 6.6
p
=
6.6
.
\newline
Write your answer in simplest form.
\newline
p
−
6
−
p
+
5
=
\frac{p - 6}{-p + 5} =
−
p
+
5
p
−
6
=
__
Get tutor help
Evaluate the expression for
v
=
8.6
v = 8.6
v
=
8.6
.
\newline
Write your answer in simplest form.
\newline
v
−
10
−
v
+
9
=
\frac{v - 10}{-v + 9} =
−
v
+
9
v
−
10
=
__
Get tutor help
Evaluate the expression for
r
=
5.2
r = 5.2
r
=
5.2
.
\newline
Write your answer in simplest form.
\newline
r
−
3
−
r
+
2
=
\frac{r - 3}{-r + 2} =
−
r
+
2
r
−
3
=
__
Get tutor help
Evaluate the expression for
y
=
9.5
y = 9.5
y
=
9.5
.
\newline
Write your answer in simplest form.
\newline
y
−
2
−
y
+
8
=
\frac{y - 2}{-y + 8} =
−
y
+
8
y
−
2
=
__
Get tutor help
Evaluate the expression for
t
=
5.5
t = 5.5
t
=
5.5
.
\newline
Write your answer in simplest form.
\newline
t
−
10
−
t
+
6
=
\frac{t - 10}{-t + 6} =
−
t
+
6
t
−
10
=
__
Get tutor help
Evaluate the expression for
z
=
8.4
z = 8.4
z
=
8.4
.
\newline
Write your answer in simplest form.
\newline
z
−
2
−
z
+
10
=
\frac{z - 2}{-z + 10} =
−
z
+
10
z
−
2
=
__
Get tutor help
Evaluate the expression for
t
=
6.5
t = 6.5
t
=
6.5
.
\newline
Write your answer in simplest form.
\newline
t
−
8
−
t
+
7
=
\frac{t - 8}{-t + 7} =
−
t
+
7
t
−
8
=
__
Get tutor help
The graph of function
f
f
f
is shown below. Let
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
g(x)=\int_{0}^{x} f(t) d t
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
.
\newline
Evaluate
g
(
3
)
g(3)
g
(
3
)
.
\newline
g
(
3
)
=
g(3)=
g
(
3
)
=
Get tutor help
The graph of function
h
h
h
is shown below. Let
f
(
x
)
=
∫
3
x
h
(
t
)
d
t
f(x)=\int_{3}^{x} h(t) d t
f
(
x
)
=
∫
3
x
h
(
t
)
d
t
.
\newline
Evaluate
f
(
4
)
f(4)
f
(
4
)
.
\newline
f
(
4
)
=
f(4)=
f
(
4
)
=
Get tutor help
The graph of function
f
f
f
is shown below. Let
g
(
x
)
=
∫
−
3
x
f
(
t
)
d
t
g(x)=\int_{-3}^{x} f(t) d t
g
(
x
)
=
∫
−
3
x
f
(
t
)
d
t
.
\newline
Evaluate
g
(
−
1
)
g(-1)
g
(
−
1
)
.
\newline
g
(
−
1
)
=
g(-1)=
g
(
−
1
)
=
Get tutor help
The graph of function
f
f
f
is shown below. Let
h
(
x
)
=
∫
−
4
x
f
(
t
)
d
t
h(x)=\int_{-4}^{x} f(t) d t
h
(
x
)
=
∫
−
4
x
f
(
t
)
d
t
.
\newline
Evaluate
h
(
−
2
)
h(-2)
h
(
−
2
)
.
\newline
h
(
−
2
)
=
h(-2)=
h
(
−
2
)
=
Get tutor help
The graph of function
h
h
h
is shown below. Let
g
(
x
)
=
∫
−
4
x
h
(
t
)
d
t
g(x)=\int_{-4}^{x} h(t) d t
g
(
x
)
=
∫
−
4
x
h
(
t
)
d
t
.
\newline
Evaluate
g
(
−
1
)
g(-1)
g
(
−
1
)
.
\newline
g
(
−
1
)
=
g(-1)=
g
(
−
1
)
=
Get tutor help
The graph of function
h
h
h
follows. Let
f
(
x
)
=
∫
−
1
x
h
(
t
)
d
t
f(x)=\int_{-1}^{x} h(t) d t
f
(
x
)
=
∫
−
1
x
h
(
t
)
d
t
.
\newline
Evaluate
f
(
4
)
f(4)
f
(
4
)
.
\newline
f
(
4
)
=
f(4)=
f
(
4
)
=
Get tutor help
The graph of function
f
f
f
is shown below. Let
h
(
x
)
=
∫
−
4
x
f
(
t
)
d
t
h(x)=\int_{-4}^{x} f(t) d t
h
(
x
)
=
∫
−
4
x
f
(
t
)
d
t
.
\newline
Evaluate
h
(
3
)
h(3)
h
(
3
)
.
\newline
h
(
3
)
=
h(3)=
h
(
3
)
=
Get tutor help
The graph of function
h
h
h
is shown below. Let
f
(
x
)
=
∫
−
4
x
h
(
t
)
d
t
f(x)=\int_{-4}^{x} h(t) d t
f
(
x
)
=
∫
−
4
x
h
(
t
)
d
t
.
\newline
Evaluate
f
(
−
1
)
f(-1)
f
(
−
1
)
.
\newline
f
(
−
1
)
=
f(-1)=
f
(
−
1
)
=
Get tutor help
The graph of function
h
h
h
is shown below. Let
g
(
x
)
=
∫
1
x
h
(
t
)
d
t
g(x)=\int_{1}^{x} h(t) d t
g
(
x
)
=
∫
1
x
h
(
t
)
d
t
.
\newline
Evaluate
g
(
4
)
g(4)
g
(
4
)
.
\newline
g
(
4
)
=
g(4)=
g
(
4
)
=
Get tutor help
Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
−
6
−
(
x
−
10
)
=
−
3
x
+
1
2
(
4
x
+
6
)
-6-(x-10)=-3 x+\frac{1}{2}(4 x+6)
−
6
−
(
x
−
10
)
=
−
3
x
+
2
1
(
4
x
+
6
)
\newline
Get tutor help
Find the
2
2
2
nd term in the expansion of
(
x
−
8
)
8
(x-8)^{8}
(
x
−
8
)
8
in simplest form.
\newline
Answer:
Get tutor help
Evaluate the expression for
b
=
7
b = 7
b
=
7
.
\newline
Write your answer in simplest form.
\newline
b
−
5
b
−
9
=
\frac{b - 5}{b - 9} =
b
−
9
b
−
5
=
__
Get tutor help
Evaluate the expression for
b
=
−
2
b = -2
b
=
−
2
.
\newline
Write your answer in simplest form.
\newline
b
−
4
b
−
3
=
\frac{b - 4}{b - 3} =
b
−
3
b
−
4
=
__
Get tutor help
Evaluate the expression for
x
=
−
2
x = -2
x
=
−
2
.
\newline
Write your answer in simplest form.
\newline
x
−
7
−
x
−
8
=
‾
\frac{x - 7}{-x - 8} = \underline{\hspace{2em}}
−
x
−
8
x
−
7
=
Get tutor help
Evaluate the expression for
c
=
8
c = 8
c
=
8
.
\newline
Write your answer in simplest form.
\newline
c
−
7
c
−
9
=
\frac{c - 7}{c - 9} =
c
−
9
c
−
7
=
__
Get tutor help
Evaluate the expression for
u
=
3
u = 3
u
=
3
.
\newline
Write your answer in simplest form.
\newline
u
−
10
−
u
−
5
=
‾
\frac{u - 10}{-u - 5} = \underline{\hspace{2em}}
−
u
−
5
u
−
10
=
Get tutor help
Evaluate the expression for
w
=
−
1
w = -1
w
=
−
1
.
\newline
Write your answer in simplest form.
\newline
w
−
9
−
w
+
4
=
\frac{w - 9}{-w + 4} =
−
w
+
4
w
−
9
=
__
Get tutor help
Evaluate the expression for
c
=
7
c = 7
c
=
7
.
\newline
Write your answer in simplest form.
\newline
c
−
4
−
c
+
10
=
\frac{c - 4}{-c + 10} =
−
c
+
10
c
−
4
=
__
Get tutor help
Evaluate the expression for
z
=
1
z = 1
z
=
1
.
\newline
Write your answer in simplest form.
\newline
z
−
3
−
z
+
2
=
\frac{z - 3}{-z + 2} =
−
z
+
2
z
−
3
=
__
Get tutor help
Evaluate the expression for
c
=
−
1
c = -1
c
=
−
1
.
\newline
Write your answer in simplest form.
\newline
c
−
4
−
c
+
8
=
\frac{c - 4}{-c + 8} =
−
c
+
8
c
−
4
=
__
Get tutor help
Evaluate the expression for
c
=
3
c = 3
c
=
3
.
\newline
Write your answer in simplest form.
\newline
c
−
5
−
c
+
2
=
\frac{c - 5}{-c + 2} =
−
c
+
2
c
−
5
=
__
Get tutor help
Evaluate the expression for
c
=
9
c = 9
c
=
9
.
\newline
Write your answer in simplest form.
\newline
c
−
8
−
c
+
10
=
\frac{c - 8}{-c + 10} =
−
c
+
10
c
−
8
=
__
Get tutor help
Evaluate the expression for
y
=
1
y = 1
y
=
1
.
\newline
Write your answer in simplest form.
\newline
y
−
9
−
y
+
5
=
\frac{y - 9}{-y + 5} =
−
y
+
5
y
−
9
=
__
Get tutor help
Evaluate the expression for
b
=
1
b = 1
b
=
1
.
\newline
Write your answer in simplest form.
\newline
b
−
6
−
b
+
7
=
\frac{b - 6}{-b + 7} =
−
b
+
7
b
−
6
=
__
Get tutor help
Evaluate the expression for
c
=
−
3
c = -3
c
=
−
3
.
\newline
Write your answer in simplest form.
\newline
c
−
2
−
c
+
5
=
\frac{c - 2}{-c + 5} =
−
c
+
5
c
−
2
=
__
Get tutor help
Evaluate the expression for
x
=
−
8
x = -8
x
=
−
8
.
\newline
Write your answer in simplest form.
\newline
x
−
2
−
x
−
7
=
\frac{x - 2}{-x - 7} =
−
x
−
7
x
−
2
=
__
Get tutor help
Evaluate the expression for
x
=
−
3
x = -3
x
=
−
3
.
\newline
Write your answer in simplest form.
\newline
x
−
6
x
−
3
=
‾
\frac{x - 6}{x - 3} = \underline{\hspace{2em}}
x
−
3
x
−
6
=
Get tutor help
Evaluate the expression for
s
=
6
s = 6
s
=
6
.
\newline
Write your answer in simplest form.
\newline
s
−
4
s
−
2
=
\frac{s - 4}{s - 2} =
s
−
2
s
−
4
=
____
Get tutor help
Evaluate the expression for
q
=
−
4
q = -4
q
=
−
4
.
\newline
Write your answer in simplest form.
\newline
q
−
3
−
q
−
9
=
\frac{q - 3}{-q - 9} =
−
q
−
9
q
−
3
=
__
Get tutor help
Evaluate the expression for
y
=
3
y = 3
y
=
3
.
\newline
Write your answer in simplest form.
\newline
y
−
4
−
y
+
8
=
\frac{y - 4}{-y + 8} =
−
y
+
8
y
−
4
=
____
Get tutor help
Evaluate the expression for
b
=
1
b = 1
b
=
1
.
\newline
Write your answer in simplest form.
\newline
b
−
9
b
−
10
=
\frac{b - 9}{b - 10} =
b
−
10
b
−
9
=
__
Get tutor help
Evaluate the expression for
b
=
−
1
b = -1
b
=
−
1
.
\newline
Write your answer in simplest form.
\newline
b
−
3
b
−
8
=
\frac{b - 3}{b - 8} =
b
−
8
b
−
3
=
____
Get tutor help
Evaluate the expression for
y
=
6
y = 6
y
=
6
.
\newline
Write your answer in simplest form.
\newline
y
−
5
y
−
10
=
\frac{y - 5}{y - 10} =
y
−
10
y
−
5
=
____
Get tutor help
Evaluate the expression for
p
=
10
p = 10
p
=
10
.
\newline
Write your answer in simplest form.
\newline
p
−
4
−
p
+
8
=
\frac{p - 4}{-p + 8} =
−
p
+
8
p
−
4
=
__
Get tutor help
Evaluate the expression for
z
=
7
z = 7
z
=
7
.
\newline
Write your answer in simplest form.
\newline
z
−
6
−
z
+
2
=
\frac{z - 6}{-z + 2} =
−
z
+
2
z
−
6
=
__
Get tutor help
Evaluate the expression for
r
=
4
r = 4
r
=
4
.
\newline
Write your answer in simplest form.
\newline
r
−
5
−
r
+
7
=
\frac{r - 5}{-r + 7} =
−
r
+
7
r
−
5
=
__
Get tutor help
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