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Lesson 6-1 Ratios
Lesson 6-2 Rates
Lesson 6-3 Measurement: Changing Customary Units
Lesson 6-4 Measurement: Changing Metric Units
Lesson 6-5 Algebra: Solving Proportions
Lesson 6-6 Problem-Solving Investigation: Draw a Diagram
Lesson 6-7 Scale Drawings
Lesson 6-8 Fractions, Decimals, and Percents
Lesson 6-9 Percents Greater Than 100% and Percents Less Than 1%
Five-Minute Check (over Chapter 5)
Main Idea and Vocabulary
California Standards
Key Concept: Ratios
Example 1: Write Ratios in Simplest Form
Example 2: Identify Equivalent Ratios
Example 3: Real-World Example
• ratio
• equivalent ratios
• Write ratios as fractions in simplest form and determine whether two ratios are equivalent.
Write the ratio 8 yards to 64 yards as a fraction in simplest form.
=
Write the ratio 3 pounds to 10 pounds as a fraction in simplest form.
Write the ratio 192 crayons to 8 crayons as a fraction in simplest form.
=
Write Ratios in Simplest Form
APPLES Mr. Gale bought a basket of apples. Using the table below, write a ratio comparing the Red Delicious to the Granny Smith apples as a fraction in simplest form.
Red DeliciousGranny Smith
Answer: The ratio of Red Delicious apples to Granny
Smith apples is
Mr. Gale’s Apples
12 Fuji 9 Granny Smith30 Red Delicious
A. A
B. B
C. C
D. D
0% 0%0%0%
A.
B.
C.
D.
FLOWERS A garden has 18 roses and 24 tulips. Write a ratio comparing roses to tulips as a fraction in simplest form.
Identify Equivalent Ratios
Determine whether the ratios 12 onions to 15 potatoes and 32 onions to 40 potatoes are equivalent.
Write each ratio as a fraction in simplest form.
Answer:
So, 12:15 and 32:40 are equivalent ratios.
The GCF of 12 and 15 is 3.
The GCF of 32 and 40 is 8.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. yes
B. no
C. maybe
D. not enough information
Determine whether the ratios 3 cups vinegar to 8 cups water and 5 cups vinegar to 12 cups of water are equivalent.
POOLS It is recommended that no more than one person be allowed into the shallow end of an outdoor public pool for every 15 square feet of surface area. If a local pool’s shallow end has a surface area of 1,800 square feet can 120 people swim into that part of the pool?
Recommended ratio
Actual ratioAnswer: Since the ratios simplify to the same fraction,
the lifeguards are correct to allow 120 people into the shallow end of the pool.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. yes
B. no
C. maybe
D. not enough information
SCHOOL A district claims that they have 1 teacher for every 15 students. If they actually have 2,700 students and 135 teachers, is their claim correct?
Five-Minute Check (over Lesson 6-1)
Main Idea and Vocabulary
California Standards
Example 1:Find Unit Rates
Example 2:Find Unit Rates
Example 3:Standards Example: Compare UsingUnit Rates
Example 4: Real-World Example: Use a Unit Rate
Rate: A ratio that compares two numbers with different kinds of units.
128 pounds of dog food for 16 dogs.
Ratio: comparison of two numbers by division.
1 gallon of milk for $2.59.
Unit Rate: A rate that is simplified so that it has a denominator of 1 unit.
140 meters running in 28 seconds.
=
96 pages of a book read in 3 hours.
=
$6 for 24 cookies. =
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.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 4 laps per minute
B. 12 laps per minute
C. 20 laps per minute
D. 64 laps per minute
Find the unit rate. 16 laps in 4 minutes
Find Unit Rates
SODA Find the unit price per can if it costs $3 for 6 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
0%0%0%0%
A B C D
A. $0.18 per cookie
B. $0.21 per cookie
C. $0.25 per cookie
D. $3.60 per cookie
Find the unit rate. $3 for one dozen cookies
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
Compare Using Unit Rates
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
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 96-oz container
B. 64-oz container
C. 32-oz container
D. 16-oz container
The costs of different sizes of bottles of laundry detergent are shown below. Which bottle costs the least per ounce?
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.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 21
B. 63
C. 120
D. 180
Sarah can paint 21 beads in 7 minutes. At this rate, how many beads can she paint in one hour?
Five-Minute Check (over Lesson 6-2)
Main Idea and Vocabulary
California Standards
Key Concept: Equality Relationships for Customary Units
Example 1: Convert Larger Units to Smaller Units
Example 2: Convert Larger Units to Smaller Units
Example 3: Convert Smaller Units to Larger Units
Example 4: Convert Smaller Units to Larger Units
Example 5: Real-World Example
Standard 6AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches).
Convert Larger Units to Smaller Units
Convert 2 miles into feet.
= 2 ● 5,280 ft or 10,560 ftMultiply.
Answer: 10,560 ft
Multiply by
Divide out common units.
A. A
B. B
C. C
D. D
0% 0%0%0%
Convert 8 yards into feet.
A.
B. 11 ft
C. 24 ft
D. 32 ft
Convert Larger Units to Smaller Units
ELEVATOR The elevator in an office building has a weight limit posted of one and a half tons. How many pounds can the elevator safely hold?
Answer: So, the elevator can safely hold 3,000 pounds.
Since 1 ton = 2,000
pounds, multiply by
. Then divide out
common units.Multiply.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 8,000
B. 8,500
C. 9,000
D. 9,500
Complete .
Convert Smaller Units to Larger Units
Convert 11 cups into pints.
Multiply and divide out common units.
Answer: 5.5 pints
Multiply.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 4.75 gal
B. 5.25 gal
C. 6.5 gal
D. 7 gal
Convert 21 quarts into gallons.
SOCCER Tracy kicked a soccer ball 1,000 inches. How many feet did she kick the ball?
Convert Smaller Units to Larger Units
LEMONADE Paul made 6 pints of lemonade and poured it into 10 glasses equally. How many cups of lemonade did each glass contain?
Begin by converting 6 pints to cups.
= 6 ● 2 cups or 12 cups
Find the unit rate which gives the number of cups per glass.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 1 oz
B. 12 oz
C. 15 oz
D. 24 oz
CANDY Tom has 3 pounds of candy he plans to divide evenly among himself and his 3 best friends. How many ounces of candy will each of them get?
Five-Minute Check (over Lesson 6-3)
Main Idea and Vocabulary
Targeted TEKS
Example 1: Convert Units in the Metric System
Example 2: Convert Units in the Metric System
Example 3: Real-World Example
Key Concept: Customary and Metric Relationships
Example 4: Convert Between Measurement Systems
Example 5: Convert Between Measurement Systems
Example 6: Real-World Example
• Change metric units of length, capacity, and mass.
• metric system
• meter• liter• gram• kilogram
Standard 6AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches).
Complete 7.2 m = ? mm.
Convert Units in the Metric System
Answer: 7,200 mm
To convert from meters to millimeters, use the relationship 1 m = 1,000 mm.
1 m = 1,000 mm Write the relationship.
7.2 ×1 m = 7.2 × 1,000 mm Multiply each side by 7.2.
7.2 m = 7,200 mm To multiply 7.2 × 1000,
move the decimal point 3 places to the right.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 0.75
B. 75
C. 750
D. 7,500
Complete 7.5 m = ? cm.
Complete 40 cm = ? m.
Convert Units in the Metric System
Answer: 0.40 m
To convert from centimeters to meters, use the relationship 1 cm = 0.01 m.
1 cm = 0.01 m Write the relationship.
40 × 1 cm = 40 × 0.01 m Multiply each side by 40.
40 cm = 0.40 m To multiply 40 × 0.01,move the decimal point
2 places to the left.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 0.034
B. 0.34
C. 3.4
D. 340
Complete 3,400 mm = ? m.
FARMS A bucket holds 12.8 liters of water. Find the capacity of the bucket in milliliters.
Answer: 12,800 mL
To convert from centimeters to meters, use the relationship 1 L = 1,000 mL.
1 L = 1,000 mL Write the relationship.
12.8 × 1 L = 12.8 × 1,000 mL Multiply each side by 12.8.
12.8 L = 12,800 mL To multiply 12.8 × 1000,
move the decimal point
3 places to the right.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 0.624 meter
B. 62.4 meters
C. 6,240 meters
D. 62,400 meters
TRAVEL The drive from Jennifer’s home to a popular state park is 62.4 kilometers. Find the distance in meters.
Convert 7.13 miles to kilometers. Round to the nearest hundredth if necessary.
Answer: So, 7.13 miles is approximately 11.48 kilometers.
Use the relationship 1 mile 1.61 kilometers.
Convert Between Measurement Systems
1 mile 1.61 km Write the relationship.
7.13 × 1 mile 7.13 × 1.61 km Multiply each side by 7.13 since you have 7.13 miles.
7.13 miles 11.4793 km Simplify.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 2.95 mL
B. 768.92 mL
C. 72.8 mL
D. 76.89 mL
Convert 3.25 cups to milliliters. Round to the nearest hundredth if necessary. (1 c 236.59 mL)
Convert 925.48 grams to pounds. Round to the nearest hundredth if necessary.
Answer: So, 925.48 grams is approximately 2.04 lb.
Since 1 pound 453.6 grams, multiply by .
Convert Between Measurement Systems
Multiply by .
Simplify.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 2.76 T
B. 2,268,000 T
C. 0.36 T
D. 3.63 T
Convert 2500 kilograms to tons. Round to the nearest hundredth if necessary. (1 T = 907.2 kg)
FARMS Pike’s Peak near Colorado Springs, Colorado rises to a height that is 14,110 feet above sea level. About how many meters high is Pike’s Peak?
Answer: So, Pike’s Peak is about 4,233 m high.
Since the height above sea level is 14,110 feet, use the relationship 1 ft 0.30 m.
1 ft 030 m Write the relationship.
14,110 × 1 ft 14,110 × 0.30 m Multiply each side by
14,110 since you have
14,110 ft.
14,110 ft 4,233 m Simplify.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 330.69 kg
B. 33.07 kg
C. 680.4 kg
D. 68.04 kg
ANIMALS A grazing hippopotamus may eat up to 150 pounds of grass per night. About how many kilograms do they eat? (1 lb 0.4536 kg)
Five-Minute Check (over Lesson 6-4)
Main Idea and Vocabulary
California Standards
Key Concept: Proportion
Example 1: Identify Proportional Relationships
Example 2: Solve a Proportion
Example 3: Solve a Proportion
Example 4: Real-World Example
• Ratio: a comparison of two numbers by division. They can be written as follows:x to y x:y
y
x
18
9
6
3 = =
Proportion: an equation stating that two ratios are equal. Such as:
Proportions will usually have one missing part.
Identify Proportional Relationships
MATH Before dinner, Mohammed solved 8 math problems in 12 minutes. After dinner, he solved 2 problems in 3 minutes. Is the number of problems he solved proportional to the time?
Method 1 Compare unit rates.
Since the unit rates are equal, the number of math equations is proportional to the time in minutes.
Identify Proportional Relationships
Method 2 Compare ratios by comparing cross products.
Answer: Since the cross products are equal, the number of math equations is proportional to the time in minutes.
24 = 24 Multiply.
?
8 × 3 = 12 × 2 Find the cross products.?
A. A
B. B
C. C
D. D
0% 0%0%0%
A. yes
B. no
C. maybe
D. not enough information
Determine if the quantities $30 for 12 gallons of gasoline and $10 for 4 gallons of gasoline are proportional.
Solve a Proportion
5x = 8 ● 18 Find the cross products.
5x = 144 Multiply.
Answer: x = 28.8
Write the proportion.
Divide each side by 5.
BrainPOP: Using Proportions
Solve a Proportion
3.5 ● n = 14 ● 6 Find the cross products.
3.5n = 84 Multiply.
Answer: The solution is 24.
Write the proportion.
Divide each side by 3.5.
n = 24 Simplify.
FLAGS According to specifications, the ratio of the length of the U.S. flag to its width must be 1.9 to 1. How long must a U.S. flag be if it is designed to have a width of 2.5 feet?
Answer: The length of a U.S. flag having a width of 2.5 feet must be 4.75 feet.
length Write a proportion.width
Find the cross products.
Multiply.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 72 girls
B. 108 girls
C. 120 girls
D. 148 girls
SCHOOL The ratio of boys to girls at Blue Hills Middle School is 4 to 5. How many girls attend the school if there are 96 boys?
Five-Minute Check (over Lesson 6-5)
Main Idea
California Standards
Example 1: Draw a Diagram
Standard 6MR2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
Standard 6NS2.1 Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation.
Draw a Diagram
ROCK CLIMBING A rock climber stops to rest at a ledge 90 feet above the ground. If this represents 75% of the total climb, how high above the ground is the top of the rock? Explore You know that 90 feet represents 75% of the
total climb.
Plan Draw a diagram showing the fractional part of the distance.
Solve If 75% of the distance is 90 feet, then 25% of the distance would be 30 feet. So the missing 25% must be another 30 feet.
The total distance from the ground to the top of the rock is 90 + 30 or 120 feet.
Draw a Diagram
Check Since 75% of the total distance is 90 feet, and 0.75(120) = 90, the solution checks.
Answer: 120 ft
Interactive Lab: Scale Drawings
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 420
B. 435
C. 475
D. 500
INVENTORY A retail store has taken inventory of 400 items. If this represents 80% of the total items in the store, what is the total number of items in the store?
Five-Minute Check (over Lesson 6-6)
Main Idea and Vocabulary
California Standards
Example 1: Use a Map Scale
Example 2: Use a Blueprint Scale
Example 3: Use a Scale Model
Example 4: Find a Scale Factor
• scale drawing
• scale model• scale• scale factor
• Solve problems involving scale drawings.
Standard 6NS1.3 Use proportions to solve
problems (e.g. determine the value of n if
find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse.
Use a Map Scale
MAPS On the map below, the distance between Portland and Olympia is about 1.69 inches. What is the actual distance between Portland and Olympia?
Let d = the actual distance between the cities. Write and solve a proportion.
Use a Map Scale
Scale Portland to Olympia
Answer: The distance between Portland and Olympia is about 103.7 miles.
0.375d = 38.87
Divide each side by 0.375.
map
actual
map
actual
A. A
B. B
C. C
D. D
0% 0%0%0%
A. about 317 km
B. about 325 km
C. about 330 km
D. about 342 km
MAPS On a map of California, the distance between
San Diego and Bakersfield is about centimeters.
What is the actual distance if the scale is
1 centimeter = 30 kilometers?
Use a Blueprint Scale
ARCHITECTURE On the blueprint of a new house,
each square has a side length of inch. If the
length of a bedroom on the blueprint is inches,
what is the actual length of the room?
Use a Blueprint Scale
Write and solve a proportion.
Scale Length of Room
blueprint
actual
blueprint
actual
Cross products
Multiply.
Use a Blueprint Scale
Simplify. Multiply each side by 4.
Answer: The length of the room is 15 feet.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 6 feet
B. 18 feet
C. 24 feet
D. 36 feet
ARCHITECTURE On a blueprint of a new house,
each square has a side length of inch. If the width
of the kitchen on the blueprint is 2 inches, what is the
actual width of the room?
Use a Scale Model
PHOTOGRAPHY A model is being created from a
picture frame which has a length of inches. If the
scale to be used is 8 inches = 1 inch, what is the
length of the model?
Write a proportion using the scale.
Scale Length
model
actual
model
actual
Use a Scale Model
Find the cross products.
38 = mMultiply.
Answer: The scale model is 38 inches long.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
FURNITURE A model is being created from a child-sized rocking chair which has a height of 8 inches. If the scale to be used is 12 inches = 1 inch, what is the height of the model?
A.
B.
C. 12 in.
D. 96 in.
Convert 3 feet to inches.
Find a Scale Factor
Find the scale factor of a blueprint if the scale is
Multiply by to eliminate the
fraction in the numerator.
Divide out the common units.
Find a Scale Factor
Answer: The scale factor is That is, each measure
on the blueprint is the actual measure.
A. A
B. B
C. C
D. D
0% 0%0%0%
A.
B.
C.
D.
Find the scale factor of a blueprint if the scale is 1 inch = 4 feet.
Five-Minute Check (over Lesson 6-7)
Main Idea
California Standards
Example 1: Percents as Fractions
Example 2: Percents as Fractions
Example 3: Fractions as Percents
Example 4: Fractions as Percents
Example 5: Fractions as Percents
Example 6: Fractions as Percents
Key Concept: Common Equivalents
Reinforcement of Standard 5NS1.2 Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Percents as Fractions
NUTRITION In a recent consumer poll, 41.8% of the people surveyed said they gained nutrition knowledge from family and friends. What fraction is this? Write in simplest form.
Write a fraction with a denominator of 100.
Simplify.
A. A
B. B
C. C
D. D
0% 0%0%0%
A.
B.
C.
D.
ELECTION In a recent election, 64.8% of registered voters actually voted. What fraction is this? Write in simplest form.
Percents as Fractions
Write as a fraction in simplest form.
Write a fraction.
Divide.
Fractions as Percents
PRODUCE In one shipment of fruit to a grocery store, 5 out of 8 bananas were still green. Find this amount as a percent.
To find the percent of green bananas, write as a percent.
Write a proportion.
500 = 8n Find the cross products.
500 = 12n Find the cross products.
Fractions as Percents
Answer:
ENTER÷500 12 41.66666667Use a
calculator to simplify.
Answer: 45%
Fractions as Percents
FARMS A farmer calculated that of her goats
were brown. What percent of the goats were brown?
= 45% Multiply by 100 and add the %.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 13%
B. 25%
C. 47%
D. 52%
MARBLES Benson calculated that of his marble
collection were multi-colored marbles. What percent
of his collection were multi-colored?
Five-Minute Check (over Lesson 6-8)
Main Idea
California Standards
Example 1: Percents as Decimals or Fractions
Example 2: Percents as Decimals or Fractions
Example 3: Decimals as Percents
Example 4: Decimals as Percents
Example 5: Decimals as Percents
• Write percents greater than 100% and percents less than 1% as fractions and as decimals, and vice versa.
Reinforcement of Standard 5NS1.2 Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
Percents as Decimals or Fractions
Write 0.6% as a decimal and as a fraction in simplest form.
0.6% = .006 Divide by 100 and remove % symbol.
Answer:
Fraction form
= 0.006 Decimal form
A. A
B. B
C. C
D. D
0% 0%0%0%
Write 0.4% as a decimal and as a fraction in simplest form.
A.
B.
C.
D.
Percents as Decimals or Fractions
STOCKS During a stock market rally, a company's stock increased in value by 430%. Write 430% as a mixed number and as a decimal. Then interpret its meaning.
= 4.3 Decimal form
Answer: ; the stock’s new price was 4.3
times as great as before the rally.
Definition of percent
Mixed number form
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A.
B.
C.
D.
Write 375% as a decimal and as a mixed number in simplest form.
Decimals as Percents
Write 5.12 as a percent.
5.12 = 5.12 Multiply by 100.
Answer: 512%
= 512% Add % symbol.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 0.0935%
B. 0.935%
C. 93.5%
D. 935%
Write 9.35 as a percent.
Write 0.0015 as a percent.
Answer: 0.15%
Decimals as Percents
0.0015 = 0.0015 Multiply by 100.
= 0.15% Add % symbol.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 0.96%
B. 9.6%
C. 96%
D. 960%
Write 0.0096 as a percent.
RUNNING On Sunday, Marjorie ran 0.875 of her goal, in miles. What percent of her goal did Marjorie run on Sunday?
Answer: Marjorie ran 87.5% of her goal.
Decimals as Percents
0.875 = 0.875 Multiply by 100.
= 87.5% Add % symbol.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 0.745%
B. 7.45%
C. 74.5%
D. 745%
FUND RAISING The band boosters have raised 0.745 of their goal so far. What percent of their goal have the band boosters raised?
Five-Minute Checks
Image Bank
Math Tools
Scale Drawings
Using Proportions
Lesson 6-1 (over Chapter 5)
Lesson 6-2 (over Lesson 6-1)
Lesson 6-3 (over Lesson 6-2)
Lesson 6-4 (over Lesson 6-3)
Lesson 6-5 (over Lesson 6-4)
Lesson 6-6 (over Lesson 6-5)
Lesson 6-7 (over Lesson 6-6)
Lesson 6-8 (over Lesson 6-7)
Lesson 6-9 (over Lesson 6-8)
To use the images that are on the following three slides in your own presentation:
1. Exit this presentation.
2. Open a chapter presentation using a full installation of Microsoft® PowerPoint® in editing mode and scroll to the Image Bank slides.
3. Select an image, copy it, and paste it into your presentation.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 3
B. 5
C. 6
D. 7
(over Chapter 5)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
(over Chapter 5)
A.
B.
C.
D.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
(over Chapter 5)
A. 24
B. 10
C.
D.
A. A
B. B
C. C
D. D
0% 0%0%0%
(over Chapter 5)
A.
B.
C. 8
D.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
(over Chapter 5)
A. 9
B. 16
C.
D. 12
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 8
B. 12
C. 64
D. 120
(over Chapter 5)
Guy purchased a one-gallon container of ether for a science
experiment. When he was finished, of the container was
full. How many fluid ounces of ether did Guy use?
A. A
B. B
C. C
D. D0% 0%0%0%
Write the ratio 36 to 21 as a fraction in simplest form.
(over Lesson 6-1)
A.
B.
C.
D.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Write the ratio 16 to 64 as a fraction in simplest form.
(over Lesson 6-1)
A. 4
B. 2
C.
D.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Write the ratio 22 meters to 180 meters as a fraction in simplest form.
(over Lesson 6-1)
A.
B.
C.
D.
A. A
B. B
C. C
D. D
0% 0%0%0%
Determine and explain whether the ratios 4:6 and 52:78 are equivalent.
(over Lesson 6-1)
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 =
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Determine and explain whether the ratios 8:17 and 32:64 are equivalent.
(over Lesson 6-1)
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 =
1. A
2. B
3. C
4. D
0%0%0%0%
A B C 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)
A. A
B. B
C. C
D. D
0% 0%0%0%
A. $0.25 per ounce
B. $4.01 per ounce
C. $12.01 per ounce
D. $19.99 per ounce
Find the unit rate. Round to the nearest hundredth if necessary. $3.99 for 16 ounces
(over Lesson 6-2)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 52.14 hours per mile
B. 52.14 miles per hour
C. 3,128.4 seconds per mile
D. 3,128.4 miles per second
Find the unit rate. Round to the nearest hundredth if necessary. 730 miles in 14 hours
(over Lesson 6-2)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. $0.46 per cassette
B. $0.54 per cassette
C. $1.78 per cassette
D. $1.87 per cassette
Find the unit rate. Round to the nearest hundredth if necessary. $28 for 15 cassettes
(over Lesson 6-2)
1. A
2. B
3. C
0% 0%0%
A. $1.99 for a 3-ounce bottle
B. $2.49 for a 4-ounce bottle
C. Both are equal.
Which is the better unit price: $1.99 for a 3-ounce bottle or $2.49 for a 4-ounce bottle?
(over Lesson 6-2)
1. A
2. B
3. C
Determine whether the following statement is sometimes, always, or never true. Explain by giving an example or a counterexample. The denominator of a unit rate can be a decimal.
(over Lesson 6-2)
0%0%0%
A B C
A. Sometimes; a unit rate is a comparison of two numbers with different units by division. For
example, is read 65 miles in 3 hours.
B. Always; a unit rate is a ratio of two measurements having different units. For example, $16 for 2 pounds.
C. Never; a unit rate is a rate that is simplified so that it has a denominator of 1 unit. For example, the unit
rate is read 50 words per minute.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 53:1
B. 53
C. 1:53
D. 212:4
Cassandra leaves college to go home for the summer. She lives 424 miles away and arrives in 8 hours. Which ratio shows her rate of travel in simplest form?
(over Lesson 6-2)
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 3
B. 7
C. 15
D. 63
Complete 21 ft = __ yd.
(over Lesson 6-3)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 10
B. 20
C. 40
D. 80
Complete 160 oz = __ lb.
(over Lesson 6-3)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 3,960
B. 5,280
C. 6,600
D. 9,240
(over Lesson 6-3)
Complete = __ ft.
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 32
B. 16
C. 8
D. 4
Complete 2 c = __ fluid oz.
(over Lesson 6-3)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Stella lives 2 miles from school. How many feet from the school does Stella live?
(over Lesson 6-3)
A. 10,560 feet
B. 5,280 feet
C. 3,520 feet
D. 1,760 feet
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
(over Lesson 6-3)
A.
B. 4
C. 440
D. 7,040
If 1,760 yards = 1 mile, then 4 miles = yards.
A. A
B. B
C. C
D. D
0% 0%0%0%
Complete 640 cm = ■ m.
A. 6,400
B. 64
C. 6.4
D. 0.64
(over Lesson 6-4)
A. A
B. B
C. C
D. D
0% 0%0%0%
Complete 0.05 m = ■ mm.
A. 0.0005
B. 0.05
C. 5
D. 50
(over Lesson 6-4)
A. A
B. B
C. C
D. D
0% 0%0%0%
Complete 894 mg = ■ g.
A. 0.894
B. 8.94
C. 89.4
D. 8,940
(over Lesson 6-4)
A. A
B. B
C. C
D. D
0% 0%0%0%
Complete 124.5 kL = ■ L.
A. 1.245
B. 12.45
C. 12,450
D. 124,500
(over Lesson 6-4)
A. A
B. B
C. C
D. D
0% 0%0%0%
Complete 65,000 mL = ■ L.
A. 6,500
B. 650
C. 65
D. 6.5
(over Lesson 6-4)
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 1,298,000 km
B. 129.8 km
C. 12.98 km
D. 1.298 km
The longest suspension bridge in the United States is the Verrazano–Narrows in the Lower New York Bay. It spans 1,298 meters. How many kilometers long is this bridge?
(over Lesson 6-4)
(over Lesson 6-5)
1. A
2. B0%0%
A B
A. yes
B. no
1. A
2. B
0%
0%
A B
A. yes
B. no
(over Lesson 6-5)
1. A
2. B
0%0%
A B
A. yes
B. no
(over Lesson 6-5)
A. A
B. B
C. C
D. D
0% 0%0%0%
A.
B.
C. 9
D. 49
(over Lesson 6-5)
Solve the proportion .
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 5
B. 7
C. 30
D. 45
(over Lesson 6-5)
Solve the proportion .
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 32
B. 36
C. 96
D. 682
The ratio of native Spanish speakers to native English speakers in a local high school is 3 to 8. If there are 256 students at the school that are native English speakers, how many students are native Spanish speakers?
(over Lesson 6-5)
A. A
B. B
C. C
D. D0% 0%0%0%
A. 90 miles
B. 120 miles
C. 270 miles
D. 300 miles
The Rockwells have driven 180 miles, which is about
of the way to their family reunion. What is the
total distance to their family reunion?
(over Lesson 6-6)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Tomi is eating a candy bar that is 12 inches long.
She has already eaten of the candy bar. How many
inches of the candy bar does she have left?A. in.
B. in.
C. 6 in.
D. in.
(over Lesson 6-6)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 16 ounces
B. 9 ounces
C. 12 ounces
D. 14 ounces
Toki has filled or 12 ounces of his glass. Find the
total capacity of his glass.
(over Lesson 6-6)
A. A
B. B
C. C
D. D0% 0%0%0%
A. 16%
B. 25%
C. 20%
D. 8%
If an 8-ounce serving of yogurt provides 10% of the daily requirement for calcium, what percent of the calcium requirement would a 20-ounce serving provide?
(over Lesson 6-6)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. $303.50
B. $936.50
C. $935.50
D. $896.80
Mrs. Jackson has $620 in her checking account after writing checks for $39.70, $211.80 and $65. What was her balance before she wrote the three checks?
(over Lesson 6-6)
A. A
B. B
C. C
D. D
0% 0%0%0%
Suppose you are making a scale drawing. Find the length of the object on the scale drawing with the given scale. Then find the scale factor. a subway car 34 feet long; 1 inch = 5 feet
A.
B.
C.
D.
(over Lesson 6-7)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Suppose you are making a scale drawing. Find the length of the object on the scale drawing with the given scale. Then find the scale factor. a table 1.5 meters long; 3 centimeters = 0.25 meters
A.
B.
C.
D.
(over Lesson 6-7)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Suppose you are making a scale drawing. Find the length of the object on the scale drawing with the given scale. Then find the scale factor. a football field that is 120 yards; 1 foot = 30 yards
A.
B.
C.
D.
(over Lesson 6-7)
A. A
B. B
C. C
D. D0% 0%0%0%
A. 375.5 mi
B. 337.5 mi
C. 28.1 mi
D. 24.0 mi
The distance between New York City and Washington, D.C., is 3.75 inches on a map of the United States. If the scale on the map is 1 inch to 90 miles, how far is Washington, D.C., from New York City?
(over Lesson 6-7)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Which ratio accurately shows the relationship between
the actual distance from Atlanta to New Hope and the
scale distance if the actual distance is 425 miles and the
scale distance is
A.
B.
C.
D. 70.8 :1
(over Lesson 6-7)
A. A
B. B
C. C
D. D
0% 0%0%0%
Write 8% as a fraction in simplest form.
A.
B.
C.
D.
(over Lesson 6-8)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Write 56% as a fraction in simplest form.
A.
B.
C.
D.
(over Lesson 6-8)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
Write 32% as a fraction in simplest form.
A.
B.
C.
D.
(over Lesson 6-8)
A. A
B. B
C. C
D. D
0% 0%0%0%
A. 0.47%
B. 4.71%
C. 47.06%
D. 470.59%
(over Lesson 6-8)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 214.29%
B. 21.43%
C. 2.14%
D. 0.21%
(over Lesson 6-8)
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 3%
B. 33%
C. 43%
D. 57%
Three out of every 7 car owners keep a flashlight in their glove compartment. What percent of car owners is this? Round to the nearest integer if necessary.
(over Lesson 6-8)
This slide is intentionally blank.