Section 2.8: Literal Equations & Dimensional Analysis ...
Algebra 1 Section 2.8: Literal Equations & Dimensional Analysis
Name _______________________________ Hour _____ Date ___________________
Solve for the indicated variable. 1. Solve π΄ = ππ ! for π.
Challenge: Solve π΄ =
! !
2. Solve π = ππ€β for β.
!
3. Solve πΆ = (πΉ β 32) for πΉ. !
π! + π! β for β.
Solve for y. 4. Β π¦ + π₯ = 5
5. π¦ β π₯ = 8
6. π₯ β π¦ = 4
7. 2π¦ + 3π₯ = 10
8. π₯ β 3π¦ = 21
9. 6π₯ + 9 = 3π¦
10. Mrs. Bartels was watching a TV show about Mike Holmes, a home building contractor in Canada. During the show, he remarked that is was so hotβlike 35 degrees. Why is 35 degrees hot for Mike Holmes?
If Mike came to Kansas, what would be a good way to describe the same temperature, using numbers?
Use dimensional analysis to answer the following. 10. A 5K run is the same as how many miles?
11. Mr. Bartelsβ average speed on his bicycle is 18 mph. How many feet per second is that?
12. How many feet per second does a car travel when it is going 65 mph?
13. Ground Chuck costs $4.59 per pound. How much is that per ounce?
!
14. A -inch wrench is just a bit too big to ! tighten a bolt, which must be a metric-sized bolt. What is a reasonably-sized metric wrench to try?
15. A 1st down in football can be attained by a 10-yard gain. How would you describe the distance needed for a first down for a fan in the UK, where more American football games are being played as of late?
16. How many minutes are there in one day?
17. Why do bicyclists refer to 62 miles as a metric century?
18. How many meters are there in 10 feet?
19. An American wrestler wants to compete in Europe. He weights 135 lbs. How many kilograms is that?
20. Gasoline in Europe is sold in liters. How many liters would an 18-gallon gas tank hold?
Name _______________________________ Hour _____ Date ___________________
Solve for the indicated variable. 1. Solve π΄ = ππ ! for π.
Challenge: Solve π΄ =
! !
2. Solve π = ππ€β for β.
!
3. Solve πΆ = (πΉ β 32) for πΉ. !
π! + π! β for β.
Solve for y. 4. Β π¦ + π₯ = 5
5. π¦ β π₯ = 8
6. π₯ β π¦ = 4
7. 2π¦ + 3π₯ = 10
8. π₯ β 3π¦ = 21
9. 6π₯ + 9 = 3π¦
10. Mrs. Bartels was watching a TV show about Mike Holmes, a home building contractor in Canada. During the show, he remarked that is was so hotβlike 35 degrees. Why is 35 degrees hot for Mike Holmes?
If Mike came to Kansas, what would be a good way to describe the same temperature, using numbers?
Use dimensional analysis to answer the following. 10. A 5K run is the same as how many miles?
11. Mr. Bartelsβ average speed on his bicycle is 18 mph. How many feet per second is that?
12. How many feet per second does a car travel when it is going 65 mph?
13. Ground Chuck costs $4.59 per pound. How much is that per ounce?
!
14. A -inch wrench is just a bit too big to ! tighten a bolt, which must be a metric-sized bolt. What is a reasonably-sized metric wrench to try?
15. A 1st down in football can be attained by a 10-yard gain. How would you describe the distance needed for a first down for a fan in the UK, where more American football games are being played as of late?
16. How many minutes are there in one day?
17. Why do bicyclists refer to 62 miles as a metric century?
18. How many meters are there in 10 feet?
19. An American wrestler wants to compete in Europe. He weights 135 lbs. How many kilograms is that?
20. Gasoline in Europe is sold in liters. How many liters would an 18-gallon gas tank hold?
