Adv. Math Adv. Math Chapter 22Chapter 22

ReviewReview

Use the picture to write the ratios. Tell whether the ratio compares

part to part, part to whole, or whole to part.

All shapes to triangles.

Rectangles to ovals.

Ovals to all shapes.

Use the picture to write the ratios. Tell whether the ratio compares

part to part, part to whole, or whole to part.

All shapes to triangles.

18 : 9 whole to part

Rectangles to ovals.

3 : 6 part to part

Ovals to all shapes.

6 : 18 part to whole

Which of the following shows two equivalent ratios?

a. 7 : 9 and 14 : 16

b. 7 : 9 and 14 : 18

Which of the following shows two equivalent ratios?

b. 7 : 9 and 14 : 18

7 = 14

9 18

Write two equivalent ratios for each of the following.

a. 12 : 15

b. 1

3

Write two equivalent ratios for each of the following.

a. 12 : 15 24 : 30 4 : 5

b. 1 2 3

3 6 9

*Note: There is more than 1 right answer.

Tell whether the ratios form a proportion.

Write yes or no.

4 and 26 24 and

27

10 65 6 9

Tell whether the ratios form a proportion.

Write yes or no.

4 and 26 24 and

27

10 65 6 9

Yes No

Solve the following proportions using Cross Products. Show your work!!

8 = x 9 =12

36 54 x20

Solve the following proportions using Cross Products. Show your work!!

8 = x 9 =12

36 54 x20

36x = 8(54) 12x = 9(20)

36x = 432 12x = 180

36 36 12 12

x = 12 x = 15

Use the formula Use the formula Distance = Rate x TimeDistance = Rate x Time

(d = rt)(d = rt)to solve the following:to solve the following:

Valerie runs 1,200 meters in 8 Valerie runs 1,200 meters in 8 minutes. minutes.

What is her rate per minute?What is her rate per minute?

Valerie runs 1,200 meters in Valerie runs 1,200 meters in 8 minutes. 8 minutes.

What is her rate per minute?What is her rate per minute?

d = r td = r t1,2001,200 = = 8r8r 8 = 8 8 = 8

150 meters per minute = rate150 meters per minute = rate

Use the formula Use the formula Distance = Rate x TimeDistance = Rate x Time

(d = rt)(d = rt)

to solve the following:to solve the following:

Mr. Smith drove 275 miles at a Mr. Smith drove 275 miles at a rate of 50 miles per hour. rate of 50 miles per hour.

How long did it take Mr. Smith How long did it take Mr. Smith to complete his trip?to complete his trip?

Mr. Smith drove 275 miles at a rate of Mr. Smith drove 275 miles at a rate of 50 miles per hour. 50 miles per hour.

How long did it take Mr. Smith How long did it take Mr. Smith to complete his trip?to complete his trip?

d = r td = r t 275275 = = 50 t50 t 50 = 50 50 = 50

5.5 hours = time5.5 hours = time

Are the figures similar?Are the figures similar?

Are the figures similar?Are the figures similar?

6 = 10

3 5

30 = 30 YES

Are the figures similar?Are the figures similar?

4 = 22 1 4 = 4 YES

Are the figures similar?Are the figures similar?

**Hint: Pay attention to position!Hint: Pay attention to position!

6 = 14.410 24 144 = 144 YES

What is the What is the unit rateunit rate ? ? Show your work!!Show your work!!

a. Earn $56 for an 8 hour day

b. Score 120 points in 15 games

What is the What is the unit rateunit rate ? ? Show your work!!Show your work!!

a. $$ $56 = x

hours 8 1 x = $7 per hour

b. points 120 = x

games 15 1 x = 8 points per game

If the If the map scalemap scale is 1 in. = 15 is 1 in. = 15 miles, what is the miles, what is the map distancemap distance if if

the the actual distance is 60 miles? actual distance is 60 miles?

If the If the map scalemap scale is 1 in. = 15 is 1 in. = 15 miles, what is the miles, what is the map distancemap distance if if

the the actual distance is 60 miles? actual distance is 60 miles?

InchInch 1 1 = = xxMiles 15 60Miles 15 60

15x = 1(60)15x = 1(60)15x15x = = 606015 1515 15

x = 4 inchesx = 4 inches

It takes Kenny 25 minutes to It takes Kenny 25 minutes to inflate the tires of 50 inflate the tires of 50

bicycles. How long will it bicycles. How long will it take him to inflate the tires take him to inflate the tires

of 120 bicycles?of 120 bicycles?

It takes Kenny 25 minutes to It takes Kenny 25 minutes to inflate the tires of 50 bicycles. inflate the tires of 50 bicycles.

How long will it take him to How long will it take him to inflate the tires of 120 bicycles?inflate the tires of 120 bicycles?

minutes minutes 25 25 = = xx bicycles 50 120 bicycles 50 120

50x = 25 (120) 50x = 25 (120) 50x50x = = 3,0003,000

50 50 50 50

x = 60 minutesx = 60 minutes

How many pizzas do you need for How many pizzas do you need for a party of 135 people a party of 135 people

if at the last party, if at the last party, 90 people ate 52 pizzas?90 people ate 52 pizzas?

How many pizzas do you need for a party How many pizzas do you need for a party of 135 people if at the last party, 90 of 135 people if at the last party, 90

people ate 52 pizzas?people ate 52 pizzas?

pizzas pizzas 52 52 = = xx people 90 135 people 90 135

90x = 52 (135) 90x = 52 (135) 90x90x = = 7,0207,020

90 90 90 90

x = 78 pizzasx = 78 pizzas

Practice, Practice,

Practice, Practice,

Practice! Practice!