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Math Problems
Grade 8
Solve proportions: word problems
Naira paddled with the current in the same amount of time as it took her to paddle against the current. Naira paddled at an average rate of
x
x
x
relative to the water each way. Assume the speed of the current was constant. What was the speed of the current? Naira paddled with the current in the same amount of time as it took her to paddle against the current. Naira paddled at an average rate of
x
x
x
relative to the water each way. Assume the speed of the current was constant. What was the speed of the current? Naira paddled with the current in the same amount of time as it took her to paddle against the current. Naira paddled at an average rate of
x
x
x
relative to the water each way. Assume the speed of the current was constant. What was the speed of the current? Naira paddled with the current in the same amount of time as it took her to paddle against the current. Naira paddled at an average rate of
x
x
x
relative to the water each way. Assume the speed of the current was constant. What was the speed of the current? Naira paddled with the current in the same amount of time as it took her to paddle against the current. Naira paddled at an average rate of
x
x
x
relative to the water each way. Assume the speed of the current was constant. What was the speed of the current?
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Stefan bought
15
15
15
souvenirs during
3
3
3
days of vacation. After
4
4
4
days of vacation, how many total souvenirs will Stefan have bought? Assume the relationship is directly proportional.
\newline
\newline
_____ souvenirs
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Rosanne earned a total of
$
4
\$4
$4
by selling
2
2
2
cups of lemonade. How many cups of lemonade does Rosanne need to sell in all to earn
$
20
\$20
$20
? Assume the relationship is directly proportional.
\newline
_____ cups
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Lila prepared
12
kilograms
12\,\text{kilograms}
12
kilograms
of dough after working
4
hours
4\,\text{hours}
4
hours
. How much dough did Lila prepare if she worked for
6
hours
6\,\text{hours}
6
hours
? Assume the relationship is directly proportional.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
kilograms
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Francesca's Auto Wash had revenues of
$
15
\$15
$15
from
3
3
3
customers. After serving
4
4
4
customers, how much revenue will Francesca's Auto Wash have? Assume the relationship is directly proportional.
\newline
$
\$
$
_____
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Marco's retirement party will cost
$
9
\$9
$9
if he invites
3
3
3
guests. What is the maximum number of guests there can be if Marco can afford to spend a total of
$
12
\$12
$12
on his retirement party? Assume the relationship is directly proportional.
\newline
_____ guests
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Oliver jarred
4
liters
4\,\text{liters}
4
liters
of jam after
2
days
2\,\text{days}
2
days
. How much jam did Oliver jar if he spent
10
days
10\,\text{days}
10
days
making jam? Assume the relationship is directly proportional.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
liters
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Lindsey took a total of
10
10
10
pages of notes during
5
5
5
hours of class. After attending
9
9
9
hours of class, how many total pages of notes will Lindsey have in her notebook? Assume the relationship is directly proportional.
\newline
_____ pages
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Kayla's graduation picnic will cost
$
16
\$16
$16
if it has
8
8
8
attendees. At most how many attendees can there be if Kayla budgets a total of
$
18
\$18
$18
for her graduation picnic? Assume the relationship is directly proportional.
\newline
_____ attendees
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Joey ran a total of
12
12
12
miles over the course of
3
3
3
track practices. How many miles would Joey have run after
4
4
4
track practices? Assume the relationship is directly proportional.
\newline
\newline
cent____ miles
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Adriana learned to play a total of
4
4
4
pieces over the course of
2
2
2
weeks of piano lessons. After
10
10
10
weeks of piano lessons, how many total pieces will Adriana be able to play? Assume the relationship is directly proportional.
\newline
_____ pieces
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Nate learned to sing a total of
18
18
18
pieces over the course of
9
9
9
weeks of voice lessons. After
10
10
10
weeks of voice lessons, how many pieces will Nate be able to sing, in total? Assume the relationship is directly proportional.
\newline
_____ pieces
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Shawn took a total of
6
6
6
quizzes over the course of
3
3
3
weeks. How many weeks of school will Shawn have to attend this quarter before he will have taken a total of
10
10
10
quizzes? Assume the relationship is directly proportional.
\newline
_____ weeks
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Kylie wrote a total of
14
14
14
pages over
7
7
7
hours. How many hours will Kylie have to spend writing this week in order to have written a total of
20
20
20
pages? Assume the relationship is directly proportional.
\newline
_____ hours
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Logan's retirement party will cost
$
12
\$12
$12
if he invites
3
3
3
guests. What is the maximum number of guests there can be if Logan can afford to spend a total of
$
16
\$16
$16
on his retirement party? Assume the relationship is directly proportional.
\newline
_____ guests
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Linda jarred
10
liters
10\,\text{liters}
10
liters
of jam after
2
days
2\,\text{days}
2
days
. How much jam did Linda jar if she spent
3
days
3\,\text{days}
3
days
making jam? Assume the relationship is directly proportional.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
liters
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Barbara decided to take a bicycle trip to the observatory. The road has a vertical rise of
306
306
306
feet for every
1800
1800
1800
feet of horizontal change. In percent, what is the grade of this road?
\newline
The grade of the road is
□
%
\square\%
□
%
. (Simplify your answer.)
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On July
4
4
4
weekend,
180
180
180
people hiked on the trails near Lotus Lake. Of these,
1
3
\frac{1}{3}
3
1
camped overnight. How many of the hikers did not camp overnight?
\newline
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Credit card companies use negative balances to represent when the credit card company owes the customer money and positive balances to represent when the customer owes the credit card company money.
\newline
Sneha has a balance of
0
0
0
dollars with her credit card company.
\newline
What does a balance of
0
0
0
dollars represent?
\newline
Choose
1
1
1
answer:
\newline
(A) Sneha owes the credit card company money.
\newline
(B) Neither Sneha nor the credit card company owes money.
\newline
(C) The credit card company owes Sneha money.
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Bob's Gift Shop sold
250
250
250
cards for Mother's Day. One salesman, Arturo, sold
10
%
10 \%
10%
of the cards sold for Mother's Day. How many cards did Arturo sell?
\newline
Answer:
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A
4
1
2
4 \frac{1}{2}
4
2
1
-inch candle burns down in
9
9
9
hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a
3
3
3
-inch candle to burn down?
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A
1
3
4
1 \frac{3}{4}
1
4
3
-inch candle burns down in
7
7
7
hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a
1
1
1
-inch candle to burn down?
\newline
Answer: hours
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A
3
1
2
3 \frac{1}{2}
3
2
1
-inch candle burns down in
7
7
7
hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a
5
5
5
-inch candle to burn down?
\newline
Answer: hours
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A
3
1
2
3 \frac{1}{2}
3
2
1
-inch candle burns down in
7
7
7
hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a
4
1
2
4 \frac{1}{2}
4
2
1
-inch candle to burn down?
\newline
Answer: hours
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A
1
3
4
1 \frac{3}{4}
1
4
3
-inch candle burns down in
7
7
7
hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a
1
1
1
-inch candle to burn down?
\newline
Answer: hours
\newline
Submit Answer
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From midnight to
9
9
9
:
00
00
00
am, the temperature rose
3
5
∘
C
\frac{3}{5}^{\circ} \mathrm{C}
5
3
∘
C
each hour. If the temperature at midnight was
−
9
∘
C
-9^{\circ} \mathrm{C}
−
9
∘
C
, what was the temperature at
9
9
9
:
00
00
00
am?
\newline
Answer:
□
\square
□
∘
C
{ }^{\circ} \mathrm{C}
∘
C
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Yesterday the temperature at noon was
20.
4
∘
F
20.4^{\circ} \mathrm{F}
20.
4
∘
F
. By midnight, it had gone down by
28.
9
∘
F
28.9^{\circ} \mathrm{F}
28.
9
∘
F
. What was the temperature at midnight?
\newline
Answer:
□
\square
□
∘
F
{ }^{\circ} \mathrm{F}
∘
F
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Yesterday, between noon and midnight, the temperature went down by
28.
7
∘
F
28.7^{\circ} \mathrm{F}
28.
7
∘
F
. If the temperature was
−
13.
5
∘
F
-13.5^{\circ} \mathrm{F}
−
13.
5
∘
F
at midnight, what was it at noon?
\newline
Answer:
□
\square
□
∘
F
{ }^{\circ} \mathrm{F}
∘
F
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Pamela drove her car
99
99
99
kilometers and used
9
9
9
liters of fuel. She wants to know how many kilometers
(
k
)
(k)
(
k
)
she can drive with
12
12
12
liters of fuel. She assumes the relationship between kilometers and fuel is proportional.
\newline
How many kilometers can Pamela drive with
12
12
12
liters of fuel?
\newline
k
m
\mathrm{km}
km
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Elio makes candles that are
14
c
m
14 \mathrm{~cm}
14
cm
tall. Each candle burns
8
8
8
hours before going out. He is wondering how many hours a
21
c
m
21 \mathrm{~cm}
21
cm
tall candle can burn for.
\newline
He assumes that the relationship between the height of a candle and number of hours it burns
(
h
)
(h)
(
h
)
is proportional.
\newline
How long can a
21
c
m
21 \mathrm{~cm}
21
cm
tall candle burn for?
\newline
hours
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