Unit Rates
Fractions
Long Division
Equations
Proportionality
100
A pump moves 42 gallons in seven minutes. Find the unit rate per minute
6 gallons per minute
100
100
288 divided by 6
Must show work!
48
100
Explain what the constant of proportionality means in in this situation, where x=number of burgers and y=total cost.
The equation is: y=3.75x
Each burger cost $3.75
100
Name the characteristics that make this graph proportional.
1. Linear
2. Goes through the origin
200
A T-shirt launcher can launch 5 shirts in 20 minutes. What is the rate in shirts per hour?
15 shirts per 1 hour.
200
200
92 divided by 4
Must show work!
23
200
Which equation is NOT proportional. SELECT ALL.
A) y=5.5x
B) y=3x+2
C) y=3/x
D) y=1/4x
B and C
200
How fast is the car driving?
50 mph
300
Which is the best buy?
6 shirts for $25.50
or
4 shirts for $18.00
6 shirts for 25.50
300
300
Rewrite 7/20 as a decimal using long division.
Must show work!
0.35
300
Write an equation to represent this table.
y=12x
Where y=number of rolls and x=number of cases.
300
Is the table shown below proportional? Explain.
No. Answers will vary.
400
Ben drinks tea at an incredible rate. He drinks 3 liters of tea every 2/3 of an hour. How much does he drink in 1 hour?
9/2 liters or 4.5 liters
400
10
400
56 divided by 3
Must show work!
18.66666
400
Write an equation to represent the table.
y=1.25x
or
C=1.25p
400
What is the constant of proportionality shown in the table?
1/5
500
Nissel uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie.
Enter the number of cups of pineapple juice Nissel uses for 1 cup of orange juice.
2 cups of pineapple juice.
500
$24
500
Rewrite 5/9 as a decimal using long division.
Must show work!
0.5555555
500
A clown does face painting at the city carnival. She paints 7 faces every 21 minutes and spends the same amount of time painting each face.
Write an equation that relates f, the number of faces she paints, and m, the time she spends painting in minutes.
m=3f
or
f=1/3m
500
A boy who is 4 feet tall can cast a shadow on the ground that is 6 feet long. How tall is tree that cast a shadow that is 18 feet long?
12 feet tall.