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Math Problems
Precalculus
Solve logarithmic equations with multiple logarithms
z
=
−
2
−
5
i
z = -2 - 5i
z
=
−
2
−
5
i
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Given the equation:
\newline
16
−
2
t
=
3
2
t
+
9
16 - 2t = \frac{3}{2}t + 9
16
−
2
t
=
2
3
t
+
9
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Find the value of each variable.
\newline
625
w
=
25
\frac{625}{w}=25
w
625
=
25
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Find the value of each variable.
\newline
96
−
r
=
27
96-r=27
96
−
r
=
27
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Which sign makes the statement true?
\newline
2
12
?
1
6
\frac{2}{12} ? \frac{1}{6}
12
2
?
6
1
\newline
Choices:
\newline
(A)
=
=
=
\newline
(B)
≠
\neq
=
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Solve for
U
U
U
:
U
3
−
3
=
5
\frac{U}{3} - 3 = 5
3
U
−
3
=
5
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−
10
+
r
=
−
1
-10+r=-1
−
10
+
r
=
−
1
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10
+
s
=
−
4
10+s=-4
10
+
s
=
−
4
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Solve. Simplify your answer.
\newline
log
u
=
1
\log u = 1
lo
g
u
=
1
\newline
u
=
u =
u
=
____
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Find the value of
r
r
r
.
\newline
20
=
r
+
11
20=r+11
20
=
r
+
11
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Solve for y:
\newline
21
+
y
=
24
21+y=24
21
+
y
=
24
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Solve for
x
x
x
.
\newline
x
2
−
6
x
=
5
x^2 - 6x = 5
x
2
−
6
x
=
5
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The basketball team scored a total of
86
86
86
points. Josiah scored one-half the points of Jared.
\newline
Maricella scored two less than Jared. Jared and Connie both scored the same number of points and Bryan scored twice as many as Connie. How many points did each player score?
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2
x
−
3
y
=
−
1
2x-3y=-1
2
x
−
3
y
=
−
1
\newline
y
=
x
−
1
y=x-1
y
=
x
−
1
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Solve for all values of
x
x
x
in simplest form.
\newline
10
+
∣
2
x
+
5
∣
=
22
10+|2 x+5|=22
10
+
∣2
x
+
5∣
=
22
\newline
Answer:
x
=
x=
x
=
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Solve for all values of
x
x
x
in simplest form.
\newline
8
+
5
∣
x
−
10
∣
=
23
8+5|x-10|=23
8
+
5∣
x
−
10∣
=
23
\newline
Answer:
x
=
x=
x
=
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Solve for
x
x
x
.
\newline
4
x
+
8
=
x
−
1
4 x+8=x-1
4
x
+
8
=
x
−
1
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−
4
x
+
7
=
15
-4 x+7=15
−
4
x
+
7
=
15
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−
2
×
□
÷
−
4
=
−
21
-2 \times \square \div-4=-21
−
2
×
□
÷
−
4
=
−
21
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48
+
a
=
50
48+a=50
48
+
a
=
50
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X
−
5
=
0
X-5=0
X
−
5
=
0
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Bob's Gift Shop sold
800
800
800
cards for Mother's Day. One salesman, Andrew, sold
4
%
4 \%
4%
of the cards sold for Mother's Day. How many cards did Andrew sell?
\newline
Answer:
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Find
x
x
x
.
1
4
x
+
4
=
8
\frac{1}{4}x+4=8
4
1
x
+
4
=
8
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Use addition to rewrite the subtraction expression below without changing the digits. Do not solve.
\newline
15
−
(
−
14
)
15-(-14)
15
−
(
−
14
)
\newline
Answer:
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Find
x
x
x
.
\newline
6
−
x
=
4
6-x=4
6
−
x
=
4
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Find the value of
x
x
x
\newline
x
=
y
−
5
x=y-5
x
=
y
−
5
\newline
y
=
10
y=10
y
=
10
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Given that
f
(
x
)
=
−
4
x
,
g
(
x
)
=
x
−
2
f(x)=-4 x, \quad g(x)=x-2
f
(
x
)
=
−
4
x
,
g
(
x
)
=
x
−
2
and
h
(
x
)
=
2
f
(
x
+
2
)
+
2
g
(
x
)
h(x)=2 f(x+2)+2 g(x)
h
(
x
)
=
2
f
(
x
+
2
)
+
2
g
(
x
)
, then what is the value of
h
(
5
)
h(5)
h
(
5
)
?
\newline
Answer:
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8
x
=
64
−
4
x
8x=64-4x
8
x
=
64
−
4
x
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Find
x
x
x
:
\newline
5
x
−
9
+
(
−
5
)
=
25
5x-9+(-5)=25
5
x
−
9
+
(
−
5
)
=
25
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3
c
+
5
=
32
3 c+5=32
3
c
+
5
=
32
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z
=
−
5
+
3
i
z=-5+3i
z
=
−
5
+
3
i
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x
+
9
≥
11
x+9 \geq 11
x
+
9
≥
11
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Solve for
x
x
x
. Enter the solutions from least to greatest.
\newline
5
x
2
+
15
x
−
140
=
0
5 x^{2}+15 x-140=0
5
x
2
+
15
x
−
140
=
0
\newline
lesser
x
=
x=
x
=
\newline
greater
x
=
x=
x
=
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Solve the equation. Check your solution.
\newline
5
−
3
z
=
11
5-3 z=11
5
−
3
z
=
11
\newline
The solution set is
_
_
_
_
_
\_\_\_\_\_
_____
.
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
\newline
5
y
−
4
x
=
−
5
5 y-4 x=-5
5
y
−
4
x
=
−
5
\newline
Answer:
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
\newline
5
x
−
6
y
=
36
5 x-6 y=36
5
x
−
6
y
=
36
\newline
Answer:
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
\newline
x
+
3
y
=
−
21
x+3 y=-21
x
+
3
y
=
−
21
\newline
Answer:
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Determine the largest integer value of
x
x
x
in the solution of the following inequality.
\newline
−
2
x
+
9
≥
9
-2 x+9 \geq 9
−
2
x
+
9
≥
9
\newline
Answer:
x
=
x=
x
=
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Determine the largest integer value of
x
x
x
in the solution of the following inequality.
\newline
5
x
−
3
≤
−
20
5 x-3 \leq-20
5
x
−
3
≤
−
20
\newline
Answer:
x
=
x=
x
=
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Determine the smallest integer value of
x
x
x
in the solution of the following inequality.
\newline
5
x
+
9
≥
13
5 x+9 \geq 13
5
x
+
9
≥
13
\newline
Answer:
x
=
x=
x
=
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Solve for
n
\mathrm{n}
n
. You must write your answer in fully simplified form.
\newline
−
19
=
7
n
-19=7 n
−
19
=
7
n
\newline
Answer:
n
=
n=
n
=
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Solve for
t
t
t
. You must write your answer in fully simplified form.
\newline
−
7
t
=
−
10
-7 t=-10
−
7
t
=
−
10
\newline
Answer:
t
=
t=
t
=
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Solve for
r
\mathrm{r}
r
. You must write your answer in fully simplified form.
\newline
−
6
=
9
r
-6=9 r
−
6
=
9
r
\newline
Answer:
r
=
r=
r
=
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Solve for b. You must write your answer in fully simplified form.
\newline
−
7
b
=
8
-7 b=8
−
7
b
=
8
\newline
Answer:
b
=
b=
b
=
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Solve for
y
\mathrm{y}
y
. You must write your answer in fully simplified form.
\newline
−
1
=
2
y
-1=2 y
−
1
=
2
y
\newline
Answer:
y
=
y=
y
=
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Solve for
n
\mathrm{n}
n
. You must write your answer in fully simplified form.
\newline
−
6
=
8
n
-6=8 n
−
6
=
8
n
\newline
Answer:
n
=
n=
n
=
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Solve for
r
\mathrm{r}
r
. You must write your answer in fully simplified form.
\newline
−
5
r
=
4
-5 r=4
−
5
r
=
4
\newline
Answer:
r
=
r=
r
=
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Solve for
x
\mathrm{x}
x
. You must write your answer in fully simplified form.
\newline
3
=
7
x
3=7 x
3
=
7
x
\newline
Answer:
x
=
x=
x
=
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Solve for
u
\mathrm{u}
u
. You must write your answer in fully simplified form.
\newline
−
6
u
=
9
-6 u=9
−
6
u
=
9
\newline
Answer:
u
=
u=
u
=
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Find the value of
x
x
x
in the equation below.
\newline
x
2
=
5
\frac{x}{2}=5
2
x
=
5
\newline
Answer:
x
=
x=
x
=
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