Unit Rate & Slope
Solving Proportions
Word Problems
Direct Variation, Inverse Variation, Neither
Conversions
100
Find the unit rate. Minutes 0 1 2 3 Gallons 0 1.4 2.8 4.3
What is 1.4 gallons per minute
100
Write a proportion Race 1 Race 2 Meters 40 120 Seconds 7 s
What is 40/7 = 120/s
100
At 7 P.M., a burning candle is 16 inches tall. At 9:30 P.M., the candle is only 4.75 inches tall. At what rate is the height of the candle decreasing?
What is 4.5 inches per hour
100
The variables x and y vary directly. Use the values to write an equation that relates x and y. y = 27; x = 9
What is y=3x
100
1 qt = 0.95L. 10q = ? L
What is 9.5L
200
Find the unit rate. Batches 5 10 15 20 Servings 12.5 25 37.5 50
What is 2.5 servings per batch
200
Solve the proportion. 11 x ---- = ------ 6 18
What is x = 33
200
You are planning a party. Your friend tells you how much she paid for five party grab bags ($7.50). How much will it cost you to buy nine of the grab bags for your party?
What is $13.50.
200
Write a direct variation equation that relates x quarts to y liters. 1qt = 0.95 L
What is y= 0.95x
200
1in = 2.54 cm. 8.3 in = ? cm
What is 21.08cm
300
Find the unit rate. Gallons 4 9 14 19 Miles 94.4 212.4 330.4 448.4
What is 23.6 miles per gallon
300
Solve the proportion. y 66 ---- = ------- 6 36
What is y = 11
300
There are 40 fluid ounces of juice in 2 bottles of your favorite juice. How many fluid ounces are there in 9 bottles?
What is 180 fluid ounces.
300
x 0 1 2 3 y 0 6 12 18
Direct variation, the points lie on a line that passes through the origin. Equation can be written as y=kx.
300
1 mi = 1.6 km
What is 3.13 mi.
400
Find the slope of the line with points (0,0) and (5,3)
What is 3/5
400
Solve the proportion. 16 n ---- = ----- 12 21
What is n = 28
400
Your family is planning to drive 2620 kilometers on a road trip. How many miles is the trip?
What is 1637.5 miles.
400
5 y - 6 = -------- x
k What is neither; the equation cannot be written as y =---- x or y=kx.
400
Convert 25 ounces to kilograms 1 lb = 16 oz 0.45 kg = 1 lb
What is 0.70 kg
500
Find the slope of the line with points (-3,-3) and (1,1).
What is 1
500
Solve the proportion. 5 w ----- = ------ 48 6
What is w = 5/8
500
You rent a scooter for two days while you are on vacation. Tell whether x and y show direct variation. If so, write an equation of direct variation. Miles, x 50 30 Cost, y $30 $24
What is no. The line does not pass through the origin.
500
12 y = -------- x
What is inverse variation.
500
Convert 50 miles per hour to kilometers per hour. 1.6 km = 1 mi
What is 80km/hr.
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