Write in simplest form:
I can run 4,500 feet in 30 minutes.
4,500/30
450/3
150 feet per minute
100
Write as a fraction in lowest form:
200 pennies in 2 dollars
200=
2
100 pennies
1 dollar
100
One package of blueberries costs $3. How
many packages of blueberries can you buy
for $9?
(1/3)=(x/9)
9=3x
3=x
100
If x=3 and y=5, what is k?
y=kx
5=k3
5/3=k
1.67=k
100
Define ratio
A ratio is a comparison of two quantities.
200
Write in simplest form:
If it my university is 315 miles away, how fast do I need to drive to make it there in 5 hours?
315÷5=63 miles per hour
200
Write in simplest form: 9 chips to 30 chips
9/30 chips
3/10 or 0.3 chips
200
Jasmine bought 32 kiwi fruit for $16. How
many kiwi can Lisa buy if she has $4?
(32/$16)=(x/$4)
128=16x
8
200
If x=7 when y=31.5, what does x equal when y=18?
31.5=k7
4.5=k
18=4.5x
4=x
200
Define rate
A rate is a ratio that compares two quantities measured with different units.
300
If the average human takes 12 breaths per minute, how many breaths does the average person take in one hour?
12 * 60= 720 breaths per hour
300
Write in simplest form:
In a girls' volleyball match, Team A has a total of 10 girls and Team B has a total of 12 girls. What is the ratio of Team A to Team B?
10:12
5:6 girls
300
Gabriella bought three cantaloupes for $7.
How many cantaloupes can Shayna buy if
she has $21?
(3/$7)=(x/$21)
63=7x
9=x
300
If the height of the picture (y) varies directly as the width of the picture (x), what is the constant of proportionality in a 3x5 picture?
5=k3
5/3=k
1.667 or 1 2/3=k
300
Define unit rate
A unit rate is a comparison of two different quantities where one quantity is 1 or where quantity is viewed per every one of another quanity such as "miles per gallon."
400
If you need to shoot 25 free throws by the end of practice and there's only 13 minutes left, how many free throws would you have to make per minute to reach your goal?
25÷13= 1.923 free throws per minute
400
If your schedule has 5 classes before lunch and 3 classes after lunch, what is your ratio of classes before to classes after?
5:3 classes
400
Mary reduced the size of a painting to a
width of 3.3 in. What is the new height if it
was originally 32.5 in tall and 42.9 in wide?
(42.9/3.3)=(32.5/x)
42.9x=107.25
x=2.5 inches
400
We have a scope that has a diameter of 4 and a length of 9. We are trying to look at a giant redwood tree that is 379 feet tall. How far back do we need to stand for an image of the entire tree to fit in our scope?
C=(a/b) * D
379=(4/9) *D
852.75=D
400
Define direct variation
In a direct variation, the ratio of the value of the dependent variable to the value of the independent variable is constant. This is written as y=kx.
500
If the Bugatti Veyron can travel at 267 miles per hour and the German Autobahn is 6,800 miles long, how long would it take to drive the Veyron the length of the Autobahn?
6,800÷267=25.468 hours
500
You're cleaning your room and you notice that you have 9 shirts on the floor and 21 shirts put away in the drawer. Write a ratio in simplest terms that expresses this relationship.
9:21
3:7 shirts
500
Asanji took a trip to Mexico. Upon leaving
he decided to convert all of his Pesos back
into dollars. The exchange rate was $5.30 for every 11.1 Pesos. How many dollars did he
receive if he exchanged 42.7 Pesos?
($5.30/11.1)= (x/42.7)
11.1x=226.31
x=$20.39
500
If x=28 when y=4, what does y equal when x=10.5?
4=k28
(1/7)=k
y=(1/7)10.5
y=1.5
500
Define Constant of Proportionality.
The constant of proportionality is the name given to the ratio of two proportional quantities. If x and y represent two proportional quantities, then y=kx where k is the constant of proportionality.