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Five-Minute Check (over Lesson 6–1)
Main Idea and Vocabulary
Example 1:Find Unit Rates
Example 2:Find Unit Rates
Example 3:Test Example: Compare Using Unit Rates
Example 4:Real-World Example: Use a Unit Rate
• Rate: A ratio that compares two quantities with different kinds of units.
• Unit Rate: When a rate is simplified so that it has a denominator of 1 unit, it is called a unit rate.
• Determine units rates.
Find Unit Rates
READING Julia read 52 pages in 2 hours. What is the average number of pages she read per hour?
Write the rate as a fraction. Then find an equivalent rate with a denominator of 1.
Write the rate as a fraction.
Divide the numerator and denominator by 2.
Simplify.
Answer: The average number of pages Julia read, or unit rate, is 26 pages per hour.
1. A
2. B
3. C
4. D
A. 4 laps per minute
B. 12 laps per minute
C. 20 laps per minute
D. 64 laps per minute
SWIMMING Natalie swam 16 laps in 4 minutes. What is the average number of laps she swam per minute?
Find Unit Rates
SODA Find the unit price per can if it costs $3 for6 cans of soda. Round to the nearest hundredth if necessary.
Answer: The unit price is $0.50 per can.
Write the rate as a fraction.
Divide the numerator and the denominator by 6.
Simplify.
1. A
2. B
3. C
4. D
COOKIES Find the unit price per cookie if it costs $3 for 12 cookies.
A. $0.18 per cookie
B. $0.21 per cookie
C. $0.25 per cookie
D. $3.60 per cookie
The costs of 4 different sizes of orange juice are shown in the table. Which container costs the least per ounce?
A 96-oz containerB 64-oz containerC 32-oz containerD 16-oz container
Read the ItemFind the unit price, or the cost per ounce, of each size of orange juice. **Divide the price by the number of ounces.
Compare Using Unit Rates
Solve the Item
The 96-ounce container of orange juice costs the least per ounce.
16-ounce container $1.28 ÷ 16 ounces
=
$0.08 per ounce
32-ounce container $1.92 ÷ 32 ounces
=
$0.06 per ounce
64-ounce container $2.56 ÷ 64 ounces
=
$0.04 per ounce
96-ounce container $3.36 ÷ 96 ounces
=
$0.035 per
ounce
Compare Using Unit Rates
Answer: A
1. A
2. B
3. C
4. D
The costs of different sizes of bottles of laundry detergent are shown below. Which bottle costs the least per ounce?
A. 96-oz container
B. 64-oz container
C. 32-oz container
D. 16-oz container
POTATOES An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes? Find the unit rate.
Answer: The assistant cook can peel 150 potatoes in 50 minutes.
Use a Unit Rate
Then multiply this unit rate by 50 to find the number of potatoes he can peel in 50 minutes.
1. A
2. B
3. C
4. D
A. 21 beads
B. 63 beads
C. 120 beads
D. 180 beads
Sarah can paint 21 beads in 7 minutes. At this rate, how many beads can she paint in one hour?
End of the Lesson
Five-Minute Check (over Lesson 6–1)
Image Bank
Math Tools
Scale Drawings
Using Proportions
1. A
2. B
3. C
4. D
Write the ratio 36 to 21 as a fraction in simplest form.
(over Lesson 6-1)
Write the ratio 16 to 64 as a fraction in simplest form.
Write the ratio 22 meters to 180 meters as a fraction in simplest form.
Determine and explain whether the ratios 4:6 and 52:78 are equivalent.
Determine and explain whether the ratios 8:17 and 32:64 are equivalent.Among the staff at Roosevelt Elementary, 68 teachers prefer coffee and 20 prefer tea. Write a ratio that shows the relationship of coffee drinkers to tea drinkers in simplest form.
1. A
2. B
3. C
4. D
Write the ratio 36 to 21 as a fraction in simplest form.
A.
B.
C.
D.
(over Lesson 6-1)
1. A
2. B
3. C
4. D
Write the ratio 16 to 64 as a fraction in simplest form.
A. 4
B. 2
C.
D.
(over Lesson 6-1)
1. A
2. B
3. C
4. D
Write the ratio 22 meters to 180 meters as a fraction in simplest form.
A.
B.
C.
D.
(over Lesson 6-1)
1. A
2. B
3. C
4. D
Determine and explain whether the ratios 4:6 and 52:78 are equivalent.
A. Yes; 4:6 = and 52:78 =
B. Yes; 4:6 = and 52:78 =
C. No; 4:6 = and 52:78 =
D. No; 4:6 = and 52:78 =
(over Lesson 6-1)
1. A
2. B
3. C
4. D
Determine and explain whether the ratios 8:17 and 32:64 are equivalent.
A. Yes; 8:32 = and 17:64 =
B. Yes; 8:32 = and 17:64 =
C. No; 8:17 = and 32:64 =
D. No; 8:17 = and 32:64 =
(over Lesson 6-1)
1. A
2. B
3. C
4. D
A. 10:34
B. 17:5
C. 5:17
D. 34:10
Among the staff at Roosevelt Elementary, 68 teachers prefer coffee and 20 prefer tea. Which ratio shows the relationship of coffee drinkers to tea drinkers in simplest form?
(over Lesson 6-1)
