SuperTeacherTools

Dimensional Analysis and Proportions Answer Key

Play This Game


Converting Single Units
#1 Convert 3.5 ft to in 42 in
#2 Convert 9000 s to h 2.5 h
#3 Convert 3.3 km to cm 330,000 cm
#4 Convert 50 pt to gal 6.25 gal
#5 If 3 marios = 4 luigis and 2 luigis = 5 yoshis, convert 40 yoshi to mario 12 mario
Converting Rates
#1 Convert 60 words per minute to words per second 1 word/s
#2 Convert 8 ft/s to ft/min 480 ft/min
#3 Convert 25 mi/h to ft/s 36.67 ft/s
#4 Convert 3 ft/s to mi/h 2.05 mi/h
#5 Convert 2 gal/s to qt/min 480 qt/min
Unit Rates
#1 Define unit rate a rate with a one in the denominator or a rate comparing to a single unit
#2 If you drive 40 mi in 2 h, what is your speed in mi/h? 20 mi/h
#3 300 words in 10 min, what is your typing speed in words per min? 30 words/min
#4 Give two possible unit rates: 8 cans for $16 0.5 cans per dollar and $2 per can
#5 You ate 20 cookies in 10 days. Write the unit rate in cookies per week. 14 cookies per week
Proportion Equations
#1 3/4 = x/16 x = 12
#2 x/4 = 5/6 x = 3.33
#3 2/(3x) = 1/6 x = 4
#4 (x - 2)/5 = 7/10 x = 5.5
#5 (2x + 3)/4 = -1/2 x = -2.5
Proportion Word Problems
#1 If you answered 3 HW problems in 4 min, how many would you answer in 12 min? 9 HW problems
#2 If it takes you 8 minutes to walk 2500 ft, how long will it take to walk 1000 ft? 3.2 min
#3 If 1.5 in represents 200 ft on a map, how far is 3.5 in on the map? 466.67 ft
#4 If it takes 7 min to run one mile, how many minutes would it take to run 2000 ft? 2.65 min
#5 9 inches of snow fell in 3 hours. How many feet of snow would fall in half a day? 3 ft
Final Question
Which is faster? 20 in/s or 1 mi/h? Show work. 20 in/s