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Math Problems
Algebra 1
Theoretical probability
Solve for
d
d
d
.
\newline
log
3
d
=
3
\log_3 d = 3
lo
g
3
d
=
3
\newline
Write your answer in simplest form.
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Solve for
k
k
k
.
\newline
log
2
k
=
3
\log_2 k = 3
lo
g
2
k
=
3
\newline
Write your answer in simplest form.
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Use digits and other symbols to write ＂The sum of
2
2
2
and
3
3
3
is less than the product of
2
2
2
and
3
3
3
.＂
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Which fraction is about equal to
0.167
0.167
0.167
?
\newline
Choices:
\newline
(A)
1
3
\frac{1}{3}
3
1
\newline
(B)
1
8
\frac{1}{8}
8
1
\newline
(C)
1
4
\frac{1}{4}
4
1
\newline
(D)
1
6
\frac{1}{6}
6
1
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Which is a better estimate for the length of a parking space?
\newline
Choices:
\newline
(A)
6
6
6
kilometers
\newline
(B)
6
6
6
meters
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Which is a better estimate for the weight of an almond?
\newline
Choices:
\newline
(A)
2
grams
2\,\text{grams}
2
grams
\newline
(B)
2
kilograms
2\,\text{kilograms}
2
kilograms
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You pick a card at random.
\newline
3456
3456
3456
\newline
What is
P
(
4
)
P(4)
P
(
4
)
?
\newline
Write your answer as a percentage.
\newline
_
_
_
%
\_\_\_\%
___%
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
less than
4
)
P(\text{less than } 4)
P
(
less than
4
)
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
_
%
\_\_\_\_\_\%
_____%
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A bag contains
13
13
13
cards numbered
1
1
1
through
13
13
13
. A card is randomly chosen from the bag. What is the probability that the card has an odd number on it?
\newline
Write your answer as a fraction in simplest form.
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A box is filled with
2
2
2
yellow cards,
2
2
2
red cards, and
12
12
12
brown cards. A card is chosen at random from the box. What is the probability that the card is not red?
\newline
Write your answer as a fraction in simplest form.
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A class is made up of
4
4
4
boys and
10
10
10
girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?
\newline
Write your answer as a fraction in simplest form.
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Let
a
,
b
,
c
,
e
a,b,c,e
a
,
b
,
c
,
e
be positive integer whose average is
20
20
20
. Suppose the average of
a
,
b
,
c
,
e
a,b,c,e
a
,
b
,
c
,
e
is
26
26
26
.
\newline
What is the value of
c
?
c?
c
?
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Select the correct answer.
\newline
A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of
3
3
3
?
\newline
A.
1
18
\frac{1}{18}
18
1
\newline
B.
1
4
\frac{1}{4}
4
1
\newline
c.
1
3
\frac{1}{3}
3
1
\newline
D.
4
9
\frac{4}{9}
9
4
\newline
E.
2
3
\frac{2}{3}
3
2
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An item marked at Rs
840
840
840
is sold for Rs
714
714
714
. What is the discount and discount
%
\%
%
?
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
factor of
90
)
P(\text{factor of } 90)
P
(
factor of
90
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_
_
\_\_
__
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
even
)
P(\text{even})
P
(
even
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
factor of
24
)
P(\text{factor of } 24)
P
(
factor of
24
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
P
P
(factor of
21
21
21
)?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
less than
3
)
P(\text{less than } 3)
P
(
less than
3
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
greater than
5
)
P(\text{greater than } 5)
P
(
greater than
5
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
6
)
P(6)
P
(
6
)
?
\newline
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
1
)
P(1)
P
(
1
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
prime
)
P(\text{prime})
P
(
prime
)
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
2
)
P(2)
P
(
2
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
prime
)
P(\text{prime})
P
(
prime
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_
_
\_\_
__
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
less than
2
)
P(\text{less than } 2)
P
(
less than
2
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
factor of
56
)
P(\text{factor of } 56)
P
(
factor of
56
)
?
\newline
Write your answer as a percentage.
\newline
_
_
_
\_\_\_%
___
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
less than
5
)
P(\text{less than } 5)
P
(
less than
5
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
even
)
P(\text{even})
P
(
even
)
?
\newline
Write your answer as a percentage.
\newline
_____%
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The sum of a number and
15
15
15
is
−
23
-23
−
23
. Find the number.
\newline
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Translate the statement into an equation. Let
x
x
x
represent the number.
37
37
37
is
7
7
7
less than double a number.
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How do you write
0.24
0.24
0.24
as a percentage?
\newline
Write your answer using a percentage sign
%
\%
%
.
\newline
□
\square
□
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Convert
7
9
10
7 \frac{9}{10}
7
10
9
into an improper fraction.
\newline
Answer:
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Convert
7
3
4
7 \frac{3}{4}
7
4
3
into an improper fraction.
\newline
Answer:
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What is the sign of
\newline
46.2
+
112.3
46.2+112.3
46.2
+
112.3
?
\newline
Choose
1
1
1
answer:
\newline
(A) Positive
\newline
(B) Negative
\newline
(C) Neither positive nor negative-the sum is zero.
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What is
50
%
50 \%
50%
of
950
950
950
?
\newline
Hint: We can think of
50
%
50 \%
50%
as a common fraction.
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What is
25
%
25 \%
25%
of
600
600
600
?
\newline
Hint: We can think of
25
%
25 \%
25%
as a common fraction.
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You roll a
6
6
6
-sided die. What is
P
(
5
)
P(5)
P
(
5
)
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
______
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