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Math Problems
Grade 7
Powers with decimal and fractional bases
Evaluate. Write your answer as a fraction or whole number without exponents.
1
×
1
0
−
2
1 \times 10^{-2}
1
×
1
0
−
2
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Evaluate. Write your answer as a fraction or whole number.
\newline
(
1
2
)
0
(\frac{1}{2})^0
(
2
1
)
0
= _____
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Estimate. Which sign makes the statement true?
\newline
2
?
1
2
×
9
2 \, ? \, \frac{1}{2} \times 9
2
?
2
1
×
9
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
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Simplify:
−
7
=
7
+
2
u
-7=7+2u
−
7
=
7
+
2
u
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Solve for
P
P
P
:
(
P
−
4
)
2
=
16
(P-4)^2=16
(
P
−
4
)
2
=
16
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
−
(
−
4
x
−
5
)
=
4
x
+
4
-(-4 x-5)=4 x+4
−
(
−
4
x
−
5
)
=
4
x
+
4
\newline
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x
3
+
8
=
25
\frac{x}{3}+8=25
3
x
+
8
=
25
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
1
+
x
y
1+\frac{x}{y}
1
+
y
x
\newline
Answer:
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.02
)
3
=
(0.02)^3 =
(
0.02
)
3
=
_____
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If
3
%
3 \%
3%
of a number equals
25
25
25
, find
6
%
6 \%
6%
of that number.
\newline
Answer:
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Simplify the expression. Write your answers using integers or improper fractions.
\newline
4
(
5
x
−
2
x
−
4
)
+
1
2
x
4(5 x-2 x-4)+\frac{1}{2} x
4
(
5
x
−
2
x
−
4
)
+
2
1
x
\newline
Answer:
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Simplify the expression. Write your answers using integers or improper fractions.
\newline
1
3
(
−
12
r
+
18
)
−
7
r
\frac{1}{3}(-12 r+18)-7 r
3
1
(
−
12
r
+
18
)
−
7
r
\newline
Answer:
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Simplify the expression. Write your answers using integers or improper fractions.
\newline
2
(
−
5
y
+
3
y
−
4
)
+
2
3
y
2(-5 y+3 y-4)+\frac{2}{3} y
2
(
−
5
y
+
3
y
−
4
)
+
3
2
y
\newline
Answer:
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Simplify the expression. Write your answers using integers or improper fractions.
\newline
2
k
−
1
2
(
1
2
k
+
2
)
2 k-\frac{1}{2}\left(\frac{1}{2} k+2\right)
2
k
−
2
1
(
2
1
k
+
2
)
\newline
Answer:
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Simplify the expression. Write your answers using integers or improper fractions.
\newline
5
(
3
u
−
5
u
−
2
)
−
1
3
u
5(3 u-5 u-2)-\frac{1}{3} u
5
(
3
u
−
5
u
−
2
)
−
3
1
u
\newline
Answer:
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Simplify the expression. Write your answers using integers or improper fractions.
\newline
−
1
2
v
−
3
(
−
3
v
−
5
2
)
-\frac{1}{2} v-3\left(-3 v-\frac{5}{2}\right)
−
2
1
v
−
3
(
−
3
v
−
2
5
)
\newline
Answer:
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Simplify the expression. Write your answers using integers or improper fractions.
\newline
−
3
(
2
k
−
6
)
+
4
3
k
-3(2 k-6)+\frac{4}{3} k
−
3
(
2
k
−
6
)
+
3
4
k
\newline
Answer:
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Solve the equation
(
x
+
7
)
3
+
8
=
16
(x+7)^{3}+8=16
(
x
+
7
)
3
+
8
=
16
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Evaluate:
\newline
3
5
×
2
3
=
\frac{3}{5}\times\frac{2}{3}=
5
3
×
3
2
=
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Simplify. Your answer should be in proper scientific notation:
\newline
Double
5.5
×
1
0
4
5.5 \times 10^{4}
5.5
×
1
0
4
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x
3
≤
7
\frac{x}{3} \leq 7
3
x
≤
7
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Write the following expression without negative exponents and without parentheses.
\newline
(
−
10
x
)
−
1
(-10 x)^{-1}
(
−
10
x
)
−
1
\newline
Answer:
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Translate the sentence into an equation.
\newline
Twice the difference of a number and
5
5
5
is
7
7
7
.
\newline
Use the variable
y
y
y
for the unknown number.
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Question
1
1
1
a
\newline
Simplify the following:
\newline
(
2
x
−
10
)
/
(
x
−
5
)
(2x-10)/(x-5)
(
2
x
−
10
)
/
(
x
−
5
)
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Solve for
x
\mathrm{x}
x
.
\newline
x
15
=
−
3
5
\frac{x}{15}=-\frac{3}{5}
15
x
=
−
5
3
\newline
Answer:
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Solve for
x
\mathrm{x}
x
.
\newline
x
25
=
2
5
\frac{x}{25}=\frac{2}{5}
25
x
=
5
2
\newline
Answer:
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Solve for
x
\mathrm{x}
x
.
\newline
10
3
=
x
6
\frac{10}{3}=\frac{x}{6}
3
10
=
6
x
\newline
Answer:
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Solve for
x
\mathrm{x}
x
.
\newline
x
14
=
−
7
2
\frac{x}{14}=-\frac{7}{2}
14
x
=
−
2
7
\newline
Answer:
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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
1
6
÷
−
9
\frac{1}{6} \div-9
6
1
÷
−
9
\newline
Answer:
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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
9
5
⋅
1
2
\frac{9}{5} \cdot \frac{1}{2}
5
9
⋅
2
1
\newline
Answer:
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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
1
4
÷
−
4
\frac{1}{4} \div-4
4
1
÷
−
4
\newline
Answer:
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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
2
3
⋅
−
4
\frac{2}{3} \cdot-4
3
2
⋅
−
4
\newline
Answer:
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Solve for
x
\mathrm{x}
x
in simplest form.
\newline
1
=
1
2
(
x
+
6
)
1=\frac{1}{2}(x+6)
1
=
2
1
(
x
+
6
)
\newline
Answer:
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Find the value of
x
x
x
in the equation below.
\newline
x
8
=
7
\frac{x}{8}=7
8
x
=
7
\newline
Answer:
x
=
x=
x
=
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Solve for
t
t
t
and simplify your answer.
\newline
3
=
3
4
t
3=\frac{3}{4} t
3
=
4
3
t
\newline
Answer:
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Solve for
s
s
s
and simplify your answer.
\newline
5
2
s
=
17
\frac{5}{2} s=17
2
5
s
=
17
\newline
Answer:
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Solve for
s
s
s
and simplify your answer.
\newline
4
=
−
6
5
s
4=-\frac{6}{5} s
4
=
−
5
6
s
\newline
Answer:
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Solve for
x
x
x
and simplify your answer.
\newline
19
=
5
3
x
19=\frac{5}{3} x
19
=
3
5
x
\newline
Answer:
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Solve for
u
u
u
and simplify your answer.
\newline
−
17
=
−
4
3
u
-17=-\frac{4}{3} u
−
17
=
−
3
4
u
\newline
Answer:
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Solve for
w
w
w
and simplify your answer.
\newline
−
4
3
w
=
−
8
-\frac{4}{3} w=-8
−
3
4
w
=
−
8
\newline
Answer:
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Solve for
s
s
s
and simplify your answer.
\newline
9
=
3
5
s
9=\frac{3}{5} s
9
=
5
3
s
\newline
Answer:
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Solve for
x
x
x
and simplify your answer.
\newline
3
=
1
2
x
3=\frac{1}{2} x
3
=
2
1
x
\newline
Answer:
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Write the number
2.2
×
1
0
−
4
2.2 \times 10^{-4}
2.2
×
1
0
−
4
in standard form.
\newline
Answer:
\newline
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