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Math Problems
Algebra 1
Multiplication with rational exponents
Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
7
9
−
7
8
\frac{7}{9}-\frac{7}{8}
9
7
−
8
7
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
7
9
−
7
6
\frac{7}{9}-\frac{7}{6}
9
7
−
6
7
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
12
19
+
11
19
\frac{12}{19}+\frac{11}{19}
19
12
+
19
11
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
11
9
−
11
6
\frac{11}{9}-\frac{11}{6}
9
11
−
6
11
\newline
Answer:
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Evaluate the limit.
\newline
Lim
x
→
0
sin
(
2
x
)
sin
(
x
)
\operatorname{Lim}_{x \rightarrow 0} \frac{\sin (2 x)}{\sin (x)}
Lim
x
→
0
s
i
n
(
x
)
s
i
n
(
2
x
)
.
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Which expressions are equivalent to
5
2
5
8
\frac{5^{2}}{5^{8}}
5
8
5
2
?
\newline
Choose
1
1
1
answers:
\newline
(A)
1
5
6
\frac{1}{5^{6}}
5
6
1
\newline
(B)
1
−
6
1^{-6}
1
−
6
\newline
(C)
5
2
5^{2}
5
2
^{
−
3
-3
−
3
}
\newline
(D)
5
2
5^{2}
5
2
^{
−
8
-8
−
8
}
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Simplify the following fraction:
27
66
\frac{27}{66}
66
27
\newline
Answer:
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Simplify the following fraction:
40
42
\frac{40}{42}
42
40
\newline
Answer:
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Simplify the following fraction:
35
110
\frac{35}{110}
110
35
\newline
Answer:
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Simplify the following fraction:
24
54
\frac{24}{54}
54
24
\newline
Answer:
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Simplify the following fraction:
42
64
\frac{42}{64}
64
42
\newline
Answer:
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Simplify the following fraction:
22
40
\frac{22}{40}
40
22
\newline
Answer:
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Simplify the following fraction:
20
42
\frac{20}{42}
42
20
\newline
Answer:
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Simplify the following fraction:
22
64
\frac{22}{64}
64
22
\newline
Answer:
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What is the conjugate of
1
3
−
7
3
i
\frac{1}{3}-\frac{7}{3} i
3
1
−
3
7
i
?
\newline
−
1
3
−
7
3
i
-\frac{1}{3}-\frac{7}{3} i
−
3
1
−
3
7
i
\newline
1
3
+
7
3
i
\frac{1}{3}+\frac{7}{3} i
3
1
+
3
7
i
\newline
−
7
3
+
1
3
i
-\frac{7}{3}+\frac{1}{3} i
−
3
7
+
3
1
i
\newline
−
1
3
+
7
3
i
-\frac{1}{3}+\frac{7}{3} i
−
3
1
+
3
7
i
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What is the conjugate of
−
1
3
−
5
3
i
-\frac{1}{3}-\frac{5}{3} i
−
3
1
−
3
5
i
?
\newline
1
3
+
5
3
i
\frac{1}{3}+\frac{5}{3} i
3
1
+
3
5
i
\newline
−
1
3
+
5
3
i
-\frac{1}{3}+\frac{5}{3} i
−
3
1
+
3
5
i
\newline
−
5
3
−
1
3
i
-\frac{5}{3}-\frac{1}{3} i
−
3
5
−
3
1
i
\newline
1
3
−
5
3
i
\frac{1}{3}-\frac{5}{3} i
3
1
−
3
5
i
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What is the conjugate of
5
8
−
1
8
i
\frac{5}{8}-\frac{1}{8} i
8
5
−
8
1
i
?
\newline
−
5
8
+
1
8
i
-\frac{5}{8}+\frac{1}{8} i
−
8
5
+
8
1
i
\newline
−
1
8
+
5
8
i
-\frac{1}{8}+\frac{5}{8} i
−
8
1
+
8
5
i
\newline
−
5
8
−
1
8
i
-\frac{5}{8}-\frac{1}{8} i
−
8
5
−
8
1
i
\newline
5
8
+
1
8
i
\frac{5}{8}+\frac{1}{8} i
8
5
+
8
1
i
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What is the conjugate of
−
7
2
+
1
2
i
-\frac{7}{2}+\frac{1}{2} i
−
2
7
+
2
1
i
?
\newline
−
7
2
−
1
2
i
-\frac{7}{2}-\frac{1}{2} i
−
2
7
−
2
1
i
\newline
7
2
−
1
2
i
\frac{7}{2}-\frac{1}{2} i
2
7
−
2
1
i
\newline
1
2
−
7
2
i
\frac{1}{2}-\frac{7}{2} i
2
1
−
2
7
i
\newline
7
2
+
1
2
i
\frac{7}{2}+\frac{1}{2} i
2
7
+
2
1
i
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What is the conjugate of
−
1
2
−
3
2
i
-\frac{1}{2}-\frac{3}{2} i
−
2
1
−
2
3
i
?
\newline
−
3
2
−
1
2
i
-\frac{3}{2}-\frac{1}{2} i
−
2
3
−
2
1
i
\newline
−
1
2
+
3
2
i
-\frac{1}{2}+\frac{3}{2} i
−
2
1
+
2
3
i
\newline
1
2
+
3
2
i
\frac{1}{2}+\frac{3}{2} i
2
1
+
2
3
i
\newline
1
2
−
3
2
i
\frac{1}{2}-\frac{3}{2} i
2
1
−
2
3
i
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What is the conjugate of
5
4
−
3
4
i
?
\frac{5}{4}-\frac{3}{4} i ?
4
5
−
4
3
i
?
\newline
−
3
4
+
5
4
i
-\frac{3}{4}+\frac{5}{4} i
−
4
3
+
4
5
i
\newline
−
5
4
−
3
4
i
-\frac{5}{4}-\frac{3}{4} i
−
4
5
−
4
3
i
\newline
5
4
+
3
4
i
\frac{5}{4}+\frac{3}{4} i
4
5
+
4
3
i
\newline
−
5
4
+
3
4
i
-\frac{5}{4}+\frac{3}{4} i
−
4
5
+
4
3
i
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What is the conjugate of
−
7
3
+
4
3
i
-\frac{7}{3}+\frac{4}{3} i
−
3
7
+
3
4
i
?
\newline
4
3
−
7
3
i
\frac{4}{3}-\frac{7}{3} i
3
4
−
3
7
i
\newline
−
7
3
−
4
3
i
-\frac{7}{3}-\frac{4}{3} i
−
3
7
−
3
4
i
\newline
7
3
−
4
3
i
\frac{7}{3}-\frac{4}{3} i
3
7
−
3
4
i
\newline
7
3
+
4
3
i
\frac{7}{3}+\frac{4}{3} i
3
7
+
3
4
i
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What is the conjugate of
1
4
−
5
4
i
\frac{1}{4}-\frac{5}{4} i
4
1
−
4
5
i
?
\newline
−
1
4
−
5
4
i
-\frac{1}{4}-\frac{5}{4} i
−
4
1
−
4
5
i
\newline
−
5
4
+
1
4
i
-\frac{5}{4}+\frac{1}{4} i
−
4
5
+
4
1
i
\newline
−
1
4
+
5
4
i
-\frac{1}{4}+\frac{5}{4} i
−
4
1
+
4
5
i
\newline
1
4
+
5
4
i
\frac{1}{4}+\frac{5}{4} i
4
1
+
4
5
i
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What is the conjugate of
−
5
6
−
7
6
i
-\frac{5}{6}-\frac{7}{6} i
−
6
5
−
6
7
i
?
\newline
−
5
6
+
7
6
i
-\frac{5}{6}+\frac{7}{6} i
−
6
5
+
6
7
i
\newline
−
7
6
−
5
6
i
-\frac{7}{6}-\frac{5}{6} i
−
6
7
−
6
5
i
\newline
5
6
−
7
6
i
\frac{5}{6}-\frac{7}{6} i
6
5
−
6
7
i
\newline
5
6
+
7
6
i
\frac{5}{6}+\frac{7}{6} i
6
5
+
6
7
i
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What is the conjugate of
6
7
+
3
7
i
\frac{6}{7}+\frac{3}{7} i
7
6
+
7
3
i
?
\newline
−
6
7
+
3
7
i
-\frac{6}{7}+\frac{3}{7} i
−
7
6
+
7
3
i
\newline
3
7
+
6
7
i
\frac{3}{7}+\frac{6}{7} i
7
3
+
7
6
i
\newline
6
7
−
3
7
i
\frac{6}{7}-\frac{3}{7} i
7
6
−
7
3
i
\newline
−
6
7
−
3
7
i
-\frac{6}{7}-\frac{3}{7} i
−
7
6
−
7
3
i
Get tutor help
What is the conjugate of
−
5
8
+
1
8
i
-\frac{5}{8}+\frac{1}{8} i
−
8
5
+
8
1
i
?
\newline
1
8
−
5
8
i
\frac{1}{8}-\frac{5}{8} i
8
1
−
8
5
i
\newline
5
8
+
1
8
i
\frac{5}{8}+\frac{1}{8} i
8
5
+
8
1
i
\newline
5
8
−
1
8
i
\frac{5}{8}-\frac{1}{8} i
8
5
−
8
1
i
\newline
−
5
8
−
1
8
i
-\frac{5}{8}-\frac{1}{8} i
−
8
5
−
8
1
i
Get tutor help
What is the conjugate of
−
3
2
−
1
2
i
-\frac{3}{2}-\frac{1}{2} i
−
2
3
−
2
1
i
?
\newline
3
2
−
1
2
i
\frac{3}{2}-\frac{1}{2} i
2
3
−
2
1
i
\newline
−
3
2
+
1
2
i
-\frac{3}{2}+\frac{1}{2} i
−
2
3
+
2
1
i
\newline
−
1
2
−
3
2
i
-\frac{1}{2}-\frac{3}{2} i
−
2
1
−
2
3
i
\newline
3
2
+
1
2
i
\frac{3}{2}+\frac{1}{2} i
2
3
+
2
1
i
Get tutor help
What is the conjugate of
−
5
4
+
3
4
i
-\frac{5}{4}+\frac{3}{4} i
−
4
5
+
4
3
i
?
\newline
3
4
−
5
4
i
\frac{3}{4}-\frac{5}{4} i
4
3
−
4
5
i
\newline
5
4
+
3
4
i
\frac{5}{4}+\frac{3}{4} i
4
5
+
4
3
i
\newline
−
5
4
−
3
4
i
-\frac{5}{4}-\frac{3}{4} i
−
4
5
−
4
3
i
\newline
5
4
−
3
4
i
\frac{5}{4}-\frac{3}{4} i
4
5
−
4
3
i
Get tutor help
What is the conjugate of
1
8
+
3
8
i
\frac{1}{8}+\frac{3}{8} i
8
1
+
8
3
i
?
\newline
−
1
8
+
3
8
i
-\frac{1}{8}+\frac{3}{8} i
−
8
1
+
8
3
i
\newline
1
8
−
3
8
i
\frac{1}{8}-\frac{3}{8} i
8
1
−
8
3
i
\newline
3
8
+
1
8
i
\frac{3}{8}+\frac{1}{8} i
8
3
+
8
1
i
\newline
−
1
8
−
3
8
i
-\frac{1}{8}-\frac{3}{8} i
−
8
1
−
8
3
i
Get tutor help
What is the conjugate of
−
7
5
+
3
5
i
-\frac{7}{5}+\frac{3}{5} i
−
5
7
+
5
3
i
?
\newline
3
5
−
7
5
i
\frac{3}{5}-\frac{7}{5} i
5
3
−
5
7
i
\newline
7
5
−
3
5
i
\frac{7}{5}-\frac{3}{5} i
5
7
−
5
3
i
\newline
7
5
+
3
5
i
\frac{7}{5}+\frac{3}{5} i
5
7
+
5
3
i
\newline
−
7
5
−
3
5
i
-\frac{7}{5}-\frac{3}{5} i
−
5
7
−
5
3
i
Get tutor help
Use the following function rule to find
f
(
12
)
f(12)
f
(
12
)
.
\newline
f
(
x
)
=
(
−
1
−
3
x
)
2
f(x) = (-1-3 x)^{2}
f
(
x
)
=
(
−
1
−
3
x
)
2
\newline
f
(
12
)
=
□
f(12) = \square
f
(
12
)
=
□
Get tutor help
Simplify the expression. Write your answers using integers or improper fractions.
\newline
1
2
(
−
5
4
f
−
7
4
)
−
4
f
\frac{1}{2}\left(-\frac{5}{4} f-\frac{7}{4}\right)-4 f
2
1
(
−
4
5
f
−
4
7
)
−
4
f
\newline
Answer:
Get tutor help
Simplify the expression. Write your answers using integers or improper fractions.
\newline
−
5
2
(
3
2
c
+
c
+
4
)
−
c
-\frac{5}{2}\left(\frac{3}{2} c+c+4\right)-c
−
2
5
(
2
3
c
+
c
+
4
)
−
c
\newline
Answer:
Get tutor help
Simplify the expression. Write your answers using integers or improper fractions.
\newline
−
1
2
t
+
5
(
−
t
+
1
2
)
-\frac{1}{2} t+5\left(-t+\frac{1}{2}\right)
−
2
1
t
+
5
(
−
t
+
2
1
)
\newline
Answer:
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Simplify the expression. Write your answers using integers or improper fractions.
\newline
−
5
2
a
−
5
(
a
+
1
2
)
-\frac{5}{2} a-5\left(a+\frac{1}{2}\right)
−
2
5
a
−
5
(
a
+
2
1
)
\newline
Answer:
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Rewrite in simplest terms:
−
0.5
(
−
3
k
+
8
)
−
0.4
(
−
5
k
+
3
)
-0.5(-3 k+8)-0.4(-5 k+3)
−
0.5
(
−
3
k
+
8
)
−
0.4
(
−
5
k
+
3
)
\newline
Answer:
Get tutor help
Which expression is equivalent to
8
(
3
g
)
8(3g)
8
(
3
g
)
?
\newline
Choices:
\newline
(A)
g
+
11
g + 11
g
+
11
\newline
(B)
3
g
+
8
3g + 8
3
g
+
8
\newline
(C)
g
+
24
g + 24
g
+
24
\newline
(D)
24
g
24g
24
g
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Which expression is equivalent to
4
(
5
s
)
4(5s)
4
(
5
s
)
?
\newline
Choices:
\newline
(A)
s
+
9
s + 9
s
+
9
\newline
(B)
5
s
+
4
5s + 4
5
s
+
4
\newline
(C)
s
+
20
s + 20
s
+
20
\newline
(D)
20
s
20s
20
s
Get tutor help
Which expression is equivalent to
8
(
3
j
)
8(3j)
8
(
3
j
)
?
\newline
Choices:
\newline
(A)
j
+
11
j + 11
j
+
11
\newline
(B)
j
+
24
j + 24
j
+
24
\newline
(C)
24
j
24j
24
j
\newline
(D)
3
j
+
8
3j + 8
3
j
+
8
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Which expression is equivalent to
3
(
2
y
)
3(2y)
3
(
2
y
)
?
\newline
Choices:
\newline
(A)
y
+
5
y + 5
y
+
5
\newline
(B)
6
y
6y
6
y
\newline
(C)
2
y
+
3
2y + 3
2
y
+
3
\newline
(D)
y
+
6
y + 6
y
+
6
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Which expression is equivalent to
3
(
4
m
)
3(4m)
3
(
4
m
)
?
\newline
Choices:
\newline
(A)
m
+
7
m + 7
m
+
7
\newline
(B)
m
+
12
m + 12
m
+
12
\newline
(C)
4
m
+
3
4m + 3
4
m
+
3
\newline
(D)
12
m
12m
12
m
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Which expression is equivalent to
3
(
b
+
2
)
3(b + 2)
3
(
b
+
2
)
?
\newline
Choices:
\newline
(A)
5
b
5b
5
b
\newline
(B)
6
b
+
3
6b + 3
6
b
+
3
\newline
(C)
6
b
6b
6
b
\newline
(D)
3
b
+
6
3b + 6
3
b
+
6
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Write as a product.
\newline
49
−
2
a
x
−
a
2
−
x
2
49-2 a x-a^{2}-x^{2}
49
−
2
a
x
−
a
2
−
x
2
\newline
□
\square
□
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Which expression is equivalent to the expression below?
\newline
p
+
p
+
p
+
p
+
q
+
q
+
q
p+p+p+p+q+q+q
p
+
p
+
p
+
p
+
q
+
q
+
q
\newline
7
7
7
\newline
4
p
+
3
q
4 p+3 q
4
p
+
3
q
\newline
p
4
q
3
p^{4} q^{3}
p
4
q
3
\newline
p
4
+
q
3
\frac{p}{4}+\frac{q}{3}
4
p
+
3
q
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
9
11
−
1
11
\frac{9}{11}-\frac{1}{11}
11
9
−
11
1
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
1
7
+
1
2
\frac{1}{7}+\frac{1}{2}
7
1
+
2
1
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
1
4
+
1
6
\frac{1}{4}+\frac{1}{6}
4
1
+
6
1
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
2
3
−
5
21
\frac{2}{3}-\frac{5}{21}
3
2
−
21
5
\newline
Answer:
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Which number represents the probability of an event that is impossible to occur?
\newline
0
0
0
\newline
13
10
\frac{13}{10}
10
13
\newline
93
100
\frac{93}{100}
100
93
\newline
11
100
\frac{11}{100}
100
11
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Solve the equation.
\newline
g
−
3
7
=
2
7
g-\frac{3}{7}=\frac{2}{7}
g
−
7
3
=
7
2
\newline
g
=
□
g=\Box
g
=
□
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Simplify.
\newline
Rewrite the expression in the form
5
n
5^n
5
n
.
\newline
5
10
5
12
\frac{5^{10}}{5^{12}}
5
12
5
10
=
□
\square
□
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