Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Theoretical probability
Consider the two given triangles. Are they similar triangles? Use two proportions to support your answer.
Get tutor help
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.
Get tutor help
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.
Get tutor help
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.
Get tutor help
One letter tile is randomly drawn from a set of
26
26
26
alphabet tiles representing letters
A
A
A
through
Z
Z
Z
. What is the probability that the letter drawn is a vowel or is in the word ＂now＂ (
y
y
y
does not count as a vowel here)? Give your answer as a fraction in reduced form.
Get tutor help
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
?
Get tutor help
a fair die is rolled
3
3
3
times, what is the probability, of getting exactly
0
0
0
sixes?
Get tutor help
Dalton is shopping for a new bicycle. He is most interested in color and type of tires.
\newline
\begin{tabular}{|l|c|c|}
\newline
\hline Road bike tires & Mountain bike tires \\
\newline
\hline Red &
5
5
5
&
6
6
6
\\
\newline
\hline Green &
4
4
4
&
5
5
5
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the probability that a randomly selected bike is green or has road bike tires?
\newline
Simplify any fractions.
\newline
□
\square
□
Get tutor help
What happens to the value of the expression
80
h
\frac{80}{h}
h
80
as
h
h
h
increases from a small positive number to a large positive number?
\newline
Choose
1
1
1
answer:
\newline
(A) It increases.
\newline
(B) It decreases.
\newline
(C) It stays the same.
Get tutor help
The table shows the number of middle school students participating in a science fair.
\newline
\begin{tabular}{|c|c|}
\newline
\hline \multicolumn{
2
2
2
}{|c|}{ Science Fair Participants } \\
\newline
\hline Grade & Number of Students \\
\newline
\hline
6
6
6
&
11
11
11
\\
\newline
\hline
7
7
7
&
16
16
16
\\
\newline
\hline
8
8
8
&
17
17
17
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the ratio of seventh graders to total students? Express your answer as a fraction in simplest form.
Get tutor help
Improper and Mixed Fractions Visual
\newline
Write each amount as a mixed number.
\newline
1
1
1
)
\newline
2
2
2
)
\newline
ach amount as an improper fraction.
Get tutor help
(
10
10
10
) John spent
3
10
\frac{3}{10}
10
3
of his money on a storybook and
3
7
\frac{3}{7}
7
3
of the remaining amount on a magazine.
\newline
(a) Is the storybook or the magazine more expensive? Explain.
Get tutor help
Data Analysis and Probability
\newline
Introduction to the probability of an event
\newline
15
15
15
\newline
bag with
10
10
10
marbles has
3
3
3
blue marbles,
2
2
2
yellow marbles, and
5
5
5
red marbles. A marble is chosen from the bag at random. What is the probability that it is ue?
\newline
Irite your answer as a fraction in simplest form.
Get tutor help
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
Get tutor help
An item marked at Rs
840
840
840
is sold for Rs
714
714
714
. What is the discount and discount
%
\%
%
?
Get tutor help
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
_____
Get tutor help
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
_____
Get tutor help
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
_____
Get tutor help
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
_____
Get tutor help
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
_____
Get tutor help
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
_
_
\_\_
__
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
_____%
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
(
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
2
)
P(\text{less than } 2)
P
(
less than
2
)
?
\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
(
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
(
2
)
P(2)
P
(
2
)
?
\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
(
prime
)
P(\text{prime})
P
(
prime
)
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
Get tutor help
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
_____
Get tutor help
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
_____
Get tutor help
Write the mixed number as a percent.
\newline
1
17
20
=
□
%
1 \frac{17}{20}=\square \%
1
20
17
=
□
%
Get tutor help
A domino has a percentage and a fraction written on it.
\newline
\newline
\newline
30
%
30\%
30%
\newline
(
1
)
/
(
2
)
(1)/(2)
(
1
)
/
(
2
)
\newline
\newline
The dominoes are matched so that the fraction joins its equivalent percentage.
\newline
\newline
30
%
30\%
30%
\newline
(
1
)
/
(
2
)
(1)/(2)
(
1
)
/
(
2
)
\newline
50
%
50\%
50%
\newline
\newline
Four of the dominoes are joined
\newline
\newline
30
%
30\%
30%
\newline
(
1
)
/
(
2
)
(1)/(2)
(
1
)
/
(
2
)
\newline
\newline
\newline
\newline
50
%
50\%
50%
\newline
(
3
)
/
(
5
)
(3)/(5)
(
3
)
/
(
5
)
\newline
\newline
\newline
\newline
12
(
1
)
/
(
2
)
%
12(1)/(2)\%
12
(
1
)
/
(
2
)
%
\newline
(
1
)
/
(
2
)
(1)/(2)
(
1
)
/
(
2
)
0
0
0
\newline
\newline
Write in the percentage and fraction needed on the blank domino.
Get tutor help
The sum of a number and
15
15
15
is
−
23
-23
−
23
. Find the number
\newline
The unknown number is
\newline
(Simplify your answer.)
Get tutor help
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. The given statement can be represented mathematically as
37
=
2
x
−
7
37 = 2x - 7
37
=
2
x
−
7
(Do not simplify.)
Get tutor help
How do you write
0.24
0.24
0.24
as a percentage?
\newline
Write your answer using a percentage sign
%
\%
%
.
\newline
□
\square
□
Get tutor help
Convert
7
9
10
7 \frac{9}{10}
7
10
9
into an improper fraction.
\newline
Answer:
Get tutor help
Convert
7
3
4
7 \frac{3}{4}
7
4
3
into an improper fraction.
\newline
Answer:
Get tutor help
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.
Get tutor help
What is
50
%
50 \%
50%
of
950
950
950
?
\newline
Hint: We can think of
50
%
50 \%
50%
as a common fraction.
Get tutor help
What is
25
%
25 \%
25%
of
600
600
600
?
\newline
Hint: We can think of
25
%
25 \%
25%
as a common fraction.
Get tutor help
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
______
Get tutor help
