5-1 ratiosratios 5-2 ratesrates 5-3 identifying and writing proportionsidentifying and writing...
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5-1 Ratios
5-2 Rates
5-3 Identifying and Writing Proportions
5-4 Solving Proportions
5-5 Customary Measurements
5-6 Similar Figures and Proportions
5-7 Using Similar Figures
5-8 Scale Drawings and Scale Models
PreviewPreview
Lesson QuizzesLesson Quizzes
Lesson Quiz: Part IA coin bank contains 16 quarters, 12 dimes, and 8 nickels. Write the given ratio in all three forms.
1. nickels to quarters
2. dimes to nickels
3. nickels and dimes to quarters
816
, 8 to 16, 8:16 or 12
, 1 to 2, 1:2
128
, 12 to 8, 12:8 or 32
, 3 to 2, 3:2
2016
, 20 to 16, 20:16 or 54
, 5 to 4, 5:4
5-1 Ratios
Lesson Quiz: Part II
4. There are 220 calories in 5 crackers. Write the ratio of calories to crackers in simplest form.
5. On a school trip, Bus 1 has 3 teachers and 14 students. Bus 2 has 4 teachers and 28 students. Which bus has the greater ratio of teachers to students?
Bus 1
44 calories 1 cracker
, 44 to 1, 44:1
5-1 Ratios
Lesson Quiz
1. Ian earned $96 babysitting for 12 hours. How much did he earn each hour?
2. It takes Mia 49 minutes to complete 14 homework problems. On average, how long did it take to solve each problem?
3. Seth’s family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours. What should their average speed be in miles per hour?
$8
3.5 minutes
55
4. Abby can buy a 7-pound bag of dry cat food for $7.40, or she can purchase a 3-pound bag for $5.38. Which size is the best buy? 7 lb bag
5-2 Rates
Lesson Quiz: Part I
Determine whether the ratios are proportional.
1. 930
, 1240
2. 1221
, 1015
Find a ratio equivalent to each ratio. Then use the ratios to write a proportion.
3. 38
4. 37
, ; not proportional47
23
1540
; = 3 8
1540
, ; proportional310
310
921
; = 37
921
5-3 Identifying and Writing Proportions
Lesson Quiz: Part II
5. In one pre-school, there are 5 children for every teacher. In another pre-school, there are 20 children for every 4 teachers. Determine whether the ratios of children to teachers are proportional in both pre-schools.
20 4
5 1
=
5-3 Identifying and Writing Proportions
Lesson Quiz
Use cross products to solve each proportion.
1. 2520
= 45t
2. x9
= 1957
3. 23
= r36
4. n10
=288
t = 36 x = 3
r = 24 n = 35
5. Carmen bought 3 pounds of bananas for $1.08. June paid $ 1.80 for her purchase of bananas. If they paid the same price per pound, how many pounds did June buy?5 pounds
5-4 Solving Proportions
Lesson Quiz: Part IChoose the most appropriate customary unit for each measurement. Justify your answer.
1. the capacity of a bathtub
2. the weight of a calculator
3. the length of an indoor sports arena
gallons; similar to the capacity of several large milk jugs
too small to measure in miles, so it should be measured in feet
ounces; similar to the weight of several slices of bread
5-5 Customary Measurements
Lesson Quiz: Part II
4. Convert 13 gallons to quarts.
5. One ounce is about 28.3 grams. A box of cereal
has a mass of 400 grams. What is the weight of
the box in ounces? Round to the nearest tenth
of an ounce.
52
14.1 oz
5-5 Customary Measurements
Lesson QuizTell whether the triangles are similar.
1.
similar59°
59°
35°35°
86°86°
2. 119°
55°
107°
79°
107°
80°
135°
38°
not similar
5-6 Similar Figures and Proportions
Lesson QuizFind the unknown length in each pair of similar figures.
1. 2.
x = 120 cm t = 150 cm
3. The rectangles below are similar. The width of the smaller rectangle is 5.75 in. The width of a larger rectangle is 9.25 in. Estimate the length of the larger rectangle.
about 15 inches
5-7 Using Similar Figures
Lesson QuizIdentify the scale factor.
Statue of Liberty Model
Height (in.) 1,824 8
1.
2.
144 inches, or 12 feet
1228
On a scale drawing, a kitchen wall is 6 inches long.
The scale factor is . What is the length of the
actual wall?
124
3.On a road map, the distance from Green Bay toChicago is 11 cm. What is the actual distance between the cities if the map scale is 3 cm = 90 km?330 km
5-8 Scale Drawings and Scale Models