This document contains a review for a math unit on ratios and proportional relationships. It includes several ratio and proportion word problems along with conversion questions between customary and metric units. The document is divided into sections on ratio review questions, comparing ratios, graphing ratios, unit rates, proportions, and conversion factors.

1. Name Date
Math Period _____
Unit 7 – Ratios and Proportional Units – Review the “Common – Core” Way
I. Information
A) A ratio is a comparison of two numbers using division. The two numbers in a ratio are called terms. A ratio
can be written in three different ways.
7 poodles to 2 collies 7 to 2 7:2
II. Review Questions
RATIO
1) The school wrestling team plans to eat a huge spaghetti dinner before their last match. The team has 10 members in
7th grade and 12 members in 8th grade. The cook believes that the perfect amount of spaghetti and spaghetti sauce
uses this ratio: 3 boxes of spaghetti for every 42 ounces of spaghetti sauce.
a) What is ratio of boxes of spaghetti toounces of sauce? Write this ratio 3 different ways
_______________________________
b) You must increase the ratio to accommodate for the entire team. The cook believes that you should triple it.
Rewrite the ratio.
__________________
c) How many boxes of spaghetti would you need for 336 ounces of spaghetti sauce?
__________________
Comparing Ratios
2) Billy Bob is making chocolate milk. The recipe requires 6 tbsps. of Nestle Quik for every 3 cups of milk. His brother,
Bobby Boy’s recipe requires 5 tbsps. of Nestle Quik for every 2 cups of milk.
a) Complete both charts and find a ratio with a common DENOMINATOR.
b) Circle the two ratios you can use to compare.

2. Billy Bob’s recipe
Nestle Quik
6
(tbsps)
Milk (cups) 3
Bobby Boy’s recipe
Nestle Quik
5
(tbsps)
Milk (cups) 2
c) Which recipe will have a stronger Nestle Quik chocolaty flavor? ______________
d) Explain.
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3. Graphing With Ratios
3) Mrs. Davis swims before work. She swims at a constant speed. The table shows the distance that she swims
in various amounts of time. Fill in the missing values.
Distance (m) 50 250
Time (min) 1 2 4
a) Write a ratio of distance to time._________________
b) Write the information in the table as ordered pairs.
Use time as the x-coordinates and distance as the y-coordinates.
( , ) ( , ) ( , )( , )( , )
c) Graph the coordinates on the grid and extend the line.
d) Based on the graph, how far will Mrs. Davis swim in 5 minutes? ____________________
e) Based on the graph, predict how long will it take Mrs. Davis to swim 450 meters? ____________

4. Unit Rates
4) a) The cost of a 3 pack of hockey sticks at Plaza Sports is$ 49.50. What is the UNIT PRICE (cost per one)?
b) The cost of a 5 pack of hockey sticks at Sport’s Authority is $ 64.50. What is the UNIT PRICE?
c) Which store offers the better deal, Plaza Sports or Sport’s Authority? Explain.
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5) In a youth baseball league, each team will have a roster of 18 players and 3 coaches. This season, 162 players signed
up to play soccer. How many coaches are needed?

5. Proportions (Using Template, Ratio, and Find)
6) a) To avoid dehydration, a person should drink 8 ounces of water for every 15 minutes of exercise. How much
water should Phyllis drink if she cycles for 135 minutes?
b) If a cup is 8 fluid ounces, how many cups is this?
7) a) Leo has entered a reading contest to raise money for charity. His aunt has agreed to pay Leo $0.13 for every 5
pages that he reads. Leo’s uncle has promised to double what Leo collects in the contest. If Leo reads 365 pages, how
much money will his aunt donate to the charity? How much will Leo’s uncle give to match the aunt’s donation?
b) How much will the TOTAL donation be from Leo’s aunt and uncle?

6. Customary Units of Measurement
Convert using the method that your teacher taught you.
8)________ leap years = 915 days
9) Ford Motor Company just released the 2014 model of the Ford f 350 series pick-up truck. Their claim is that the pick-
up truck can carry a load of 9000 pounds. How many tons is that?

7. Conversion Factors
1 gallon≈ 3.79 liters
Directions:
- Convert using the method that your teacher taught you (Conversion Factors or T.R.F.).
- You may use a calculator and make sure that you ROUND your answer to the nearest
HUNDREDTHS.
9) Solve using a proportion.
You decide to get out for a huge jog on Saturday morning. You run 14.5miles in 2 hours and 30 minutes.
a) How many kilometers is equivalent to 14. 5 miles?
14.5 miles ≈_________ kilometers
10) Solve using a proportion.
_______ounces≈10 grams