Topic 3 Unit Rates and Conversions Review

TEKS 6.4(H)

To raise awareness for the environment, Amy wants to braid a 0.5 kilometer strand using plastic bottle strips. How many centimeters is 0.5 kilometer?

• 5,000 centimeters

• 500 centimeters

• 50,000 centimeters

• 5,000,000 centimeters

Answer explanation

To convert kilometers to centimeters, we multiply by 100,000. Therefore, 0.5 kilometer is equal to 50,000 centimeters. The correct answer is 50,000 centimeters.

TEKS 6.4 (B)

Tyler can swim 5 laps of the school pool in 3 minutes, Jose can swim 6 laps in 4 minutes, and Kevin can swim 4 laps in 2 minutes.

Who is the fastest swimmer?

• Kevin

• Jose

• Tyler

• None of them

Answer explanation

Kevin is the fastest swimmer because he can swim 4 laps in 2 minutes, which is the shortest time among all the swimmers.

TEKS 6.4 (D) 

 

Evelyn jogs 12.5 miles in 2.5 hours. How many miles can she jog in 1 hour?

• 8 miles 1 hour

• 5 miles in 1 hour

• 3 miles in 1 hour

• 10 miles 1 hour

Answer explanation

Evelyn can jog 5 miles in 1 hour, as given in the correct answer choice.

TEKS 6.4 (H)

A school bus weighs 12 tons 250 pounds.

How much does the school bus weigh in ounces?

• 250,000 ounces

• 12,250 ounces

• 388,000 ounces

• 1,000,000 ounces

Answer explanation

To convert tons and pounds to ounces, we need to know that 1 ton is equal to 32,000 ounces and 1 pound is equal to 16 ounces. The school bus weighs 12 tons 250 pounds, which is equal to (12 * 32,000) + (250 * 16) = 388,000 ounces. Therefore, the correct choice is 388,000 ounces.

TEKS 6.4 (H)

 

The average birth weight of a Boxer breed dog is 1.25 kilograms.

What is the average birth weight in grams?

• 500 grams

• 1250 grams

• 250 grams

• 750 grams

Answer explanation

To convert kilograms to grams, multiply by 1000. Therefore, the average birth weight in grams is 1250 grams. This is the correct choice.

TEKS 6.4(D) 

You will find the unit price for each and say which is the better buy.

A grocery store sells three sizes of bags of one brand of potato chips. The big bag is 14 ounces and costs $6.30. The medium bag is 9.75 ounces and costs $2.50. The small bag is 8 ounces and costs $2.48.

What is the cost per ounce for each bag size? Which size is the best buy? Explain your reasoning

• The cost per ounce for each bag size is: Big bag - $0.60/ounce, Medium bag - $0.28/ounce, Small bag - $0.31/ounce. The big bag is the best buy as it has the lowest cost per ounce.

• The cost per ounce for each bag size is: Big bag - $0.50/ounce, Medium bag - $0.30/ounce, Small bag - $0.35/ounce. The small bag is the best buy as it has the lowest cost per ounce.

• The cost per ounce for each bag size is: Big bag - $0.40/ounce, Medium bag - $0.25/ounce, Small bag - $0.30/ounce. The big bag is the best buy as it has the lowest cost per ounce.

• The cost per ounce for each bag size is: Big bag - $0.45/ounce, Medium bag - $0.26/ounce, Small bag - $0.31/ounce. The medium bag is the best buy as it has the lowest cost per ounce.

Answer explanation

The medium bag is the best buy with the lowest cost per ounce of $0.26.

TEKS 6.4 (B)

Harry types 1500 words in 20 minutes. Camilla types 1230 words in 15 minutes.

Who can type more words in 60 minutes?

• Camilla

• Neither can type more in 60 minutes

• Harry

• Both can type the same amount

Answer explanation

Camilla can type more words in 60 minutes because she types 82 words per minute, while Harry types 75 words per minute.

TEKS 6.4 (H) 

A firehouse ladder is 28 feet 4 inches long. How long is the ladder in inches? 

• 340 inches

• 224 inches

• 312 inches

• 284 inches

Answer explanation

To convert feet and inches to inches, we multiply the number of feet by 12 and add the number of inches. In this case, 28 feet is equal to 336 inches. Adding 4 inches, the total length of the ladder is 340 inches. Therefore, the correct choice is 340 inches.

TEKS 6.4 (D) 

A large box of cereal has 26 ounces and costs $5.20.

What is the unit rate price per ounce for the large box of cereal? 

• $0.40

• $0.30

• $0.10

• $0.20

Answer explanation

The unit rate price per ounce for the large box of cereal is $0.20. This is calculated by dividing the total cost of $5.20 by the number of ounces, which is 26. Therefore, each ounce of cereal costs $0.20.

TEKS 6.5 (A)

Romeo prepares flower bouquets of different sizes using a ratio of 2 baby’s breath stems for every 3 roses used. Which table shows the relationship between the number of roses used and the number of baby’s breath stems?

• Table B

• Table A

• Table C

• Table D

Answer explanation

Table D shows the correct relationship between the number of roses used and the number of baby’s breath stems. It follows the ratio of 2 baby’s breath stems for every 3 roses.