Equivalent?
Unit Rate
Word Problems
Scale Drawings
Better buy?
100

Is the ratio 28:42 equivalent to 4:6?

Yes

4 x 7 =28 

6 x 7 =42 

100

$12 for 4 sandwiches. What is the unit rate?

$3 per sandwich

100

A bag has 2 red marbles for every 3 blue marbles. If there are 12 blue marbles, how many red marbles are there? 

8 red marbles

100

A scale of 1 in = 5 ft. How many feet does 3 inches represent? 

15 feet

100

6 pencils for $3 or 10 pencils for $5?

Both


Pencils are the same price, 0.50 each

200

Is 5:10 the same as 2:5?

No


5:10 simplifies to 1:2

200

180 miles in 3 hours. How many miles per hour?

60 miles per hour

200

The ratio of cats to dogs is 4:5. If there are 20 dogs, how many cats are there?

16 cats

200
A model car has a scale of 1 in = 4 ft. If the car is 12 feet long, how long is the model? 

3 inches

200

12 cans for $9 or 25 cans for $15?

25 cans for $15 

0.60 cents per can

300

Are 9 to 12 and 3 to 4 equivalent?

Yes


9:12 = 3:4

300

48 cookies for 12 kids. How many cookies per kid?

4 cookies for each kid

300

A recipe calls for 2 cups of sugar for every 5 cups of flour. If you have 15 cups of flour, how much sugar?

6 cups of sugar

300

A blueprint uses 1 cm = 2m. If a room is 5 cm by 12cm on the blueprint, what are the dimensions in real life?

10m by 24m 

300

4 pounds of apples for $8 or 10 pounds for $15?

10 pounds for $15 

$1.50 per pound is cheaper than $2 per pound

400

Is 18:21 equal to 6:9?

NO


18:21 simplifies to 6:7 

6:9 simplifies to 2:3

400

$72 for 9 pizzas. What is the cost per pizza?

$8 per pizza

400

A class has 12 boys and 18 girls. What is the ratio of boys to girls in simplest form?

2:3

400

A scale map uses 1 cm = 10 km. If two towns are 7.5 cm apart, what is the real distance? 

75 kilometers

400

A 12 pack of soda costs $4.80, while an 18 pack costs $6.30. Which is the better buy?

18 pack for $6.30 is the better buy

0.35 cents per can

500

Are 8:12 and 20:36 equivalent? 

No


8:12 = 2:3 but 20:36 = 5:9

500

A runner completes 5 miles in 40 minutes. What is the unit rate in miles per hour?

7.5 miles per hour

500

If two towns are 42 miles away and the map scales shows that each inch is 12 miles. How far apart are the two towns on the map?

3.5 inches

500

A model airplane has a scale of 2in = 6 ft. The wingspan on the model is 9 inches. What is the real length of the wingspan. 


27 feet.

500

24 oz of cereal for $4.80, or 32 oz for $6.40. Which is the better buy? 

Both

Same price, $0.20/oz

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