This document contains a review sheet for math lessons 16-23 focusing on concepts like unit rates, ratios, conversions, and rates of speed for runners. It includes word problems about runners' distances, times, and speeds. Questions ask students to calculate unit rates, determine if a runner qualifies for a marathon based on age and time, convert between units like pounds and dollars, and compare the rates of different runners.

1. Name ___________________________________ Date _____________________
Math Period _________
Module 1 - Lessons 16 - 23 In Class Review Sheet
Lesson 16
Michelle started training for her half marathon with some of her friends. Each person runs at a
constant speed. Each runner recorded their run in the table below.
Runner
Anthony
Ken
Ciara
Michelle
Distance (miles)
5
7
2
3
Time (minutes)
30
63
30
36
1. What two quantities are being compared? _________________________
2. What is the UNIT RATE per mile for each runner? Use T-R-F
Anthony
Ken
Unit Rate _________________
Unit Rate _________________
Ciara
Michelle
Unit Rate _________________
Unit Rate _________________

2. USE the information from #2 for Question #3
3. To qualify for the NYC Marathon, men must
first complete a half marathon (about13 miles) in
a certain amount of time. Anthony is 46 years
old. Does he run at a fast enough speed to
qualify for the NYC Marathon? Explain why or
why not.
Men’s Qualifying Time Needed
Marathon
1/2 Marathon
Age
26 miles
13 miles
(approximate)
18-39
40-44
45-49
(approximate)
165 min
170 min
178 min
79 min
83 min
85 min
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Lesson 17
4. For training, the team eats a lot of bananas for healthy nutrition. Anthony found a store that
sells bananas at a rate of $.80 per pound. Use one of the methods (tape diagram, TRF, ratio
table, or double number line diagram) to solve for the following.
a. What is the ratio of dollars to pounds? ___________________________
b. Anthony is only able to spend $5.00. What is the maximum number of pounds of
bananas can he buy? ______
c. How much will it cost Anthony to buy 7 pounds of bananas? ______________________

3. Lesson 18
Directions : - Use “TRF” Method to Solve.
5. In marathon training, proper hydration is very important. Ciara did some research and
realized that every three minutes, runners should drink 1 ounce of water. If they should
continue at the rate, how many minutes would it take the runners to drink an 8 ounce bottle?
Answer - ____________________________________________________________________
Lesson 19
The training group had two new runners ask to join the team. The team decided to take the
fastest runner. Each runner submitted the following training rates. Which runner will be
asked to join the team?
John: 7m=t where m is the number
of miles and t is the number of minutes.
Sanjeev:
6. At what rate does each athlete run? Show your work.
John: __________________________
Sanjeev: __________________________
7. Which runner will be asked to be the newest member? Explain
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4. Lesson 20
9. For their next training session, it’s Ciara’s turn to bring water for the group. She wants to
get the best price so she compares the stores’ sale circulars. At Stop & Shop a 24 Pack of water
is $2.64. At Waldbaums a 12 pack of water is $1.44.
a)Where should Ciara buy her water?
Answer - _________________________________
b) What is the difference between the two unit prices?
Answer - _____________________________
Lesson 21
11. The team decides to enter a 5-mile run as a warm-up race. Use the conversion rate of 1,760
yards per mile, to determine how many yards each member ran.
Answer - ________________________________
Lesson 22
12. What formula can we use to find the constant rate of speed? ____________________
13. What formula can we use to find the distance traveled? ____________________

5. 14. If Michelle can run at a rate of 5 miles per hour, how far can she run in 3 hours? Use the
correct formula to solve.
Answer - _______________________________________________________________
15. If a new member of the club runs 12 miles in 3 hours, how fast does he run? Use a formula
to solve.
Answer - ________________________________________________________________
Lesson 23
The members decide to compare their training schedules. One morning Ken ran 2 miles in 18
minutes and Anthony ran 5 miles in 30 minutes. Who ran at a faster rate?
Answer - _____________________________________________________