TEKS 6.7A Worksheets — Grade 6 Generate equivalent numerical expressions using order of

Khanh is helping to organize a local music festival in Austin, Texas. The festival is expected to attract many visitors. Each ticket costs $15, and Khanh plans to sell them in packages. If a family buys 3 ticket packages and each package contains 4 tickets, how much money will Khanh collect from the family? Use the order of operations to find the total cost.

1. 180 ✓
2. 60
3. 120
4. 240

Why: First, find the total number of tickets the family buys. They purchase 3 packages of 4 tickets each, so 3 * 4 = 12 tickets. Next, to find the total cost, multiply the number of tickets by the price per ticket: 12 * 15 = 180. Therefore, Khanh will collect $180 from the family.

Sung is planning a field trip to the Palo Duro Canyon, which is famous for its stunning landscapes. The cost of the bus rental is $150, and each student needs to pay an additional $12 for park entrance fees. If there are 20 students going on the trip, what is the total cost for the trip that Sung will need to collect from the students?

1. $390 ✓
2. $300
3. $450
4. $150

Why: To find the total cost, first calculate the park entrance fees for all 20 students: 20 * 12 = $240. Then, add the bus rental cost: 240 + 150 = $390. Therefore, the total cost Sung needs to collect is $390.

Ximena is helping her family prepare for a school fundraiser in Lubbock, Texas. They are making batches of tamales to sell. Each batch requires 2.5 pounds of masa and makes 15 tamales. If they want to make a total of 60 tamales, how many pounds of masa do they need in total? Use the order of operations to find the answer.

1. 10.0 ✓
2. 6.25
3. 7.5
4. 15.0

Why: To find the total pounds of masa needed, first determine how many batches Ximena needs to make for 60 tamales. Since each batch makes 15 tamales, she will need 60 / 15 = 4 batches. Each batch requires 2.5 pounds of masa, so for 4 batches, Ximena will need 4 * 2.5 = 10.0 pounds of masa in total.

Saniya is helping her uncle build a fence around his backyard in Arlington, Texas. The fence will enclose a rectangular area that is 12 feet long and 8 feet wide. Saniya wants to plant flowers in a section of the yard that is 2/3 the length and 1/2 the width of the entire yard. What is the area, in square feet, of the section Saniya will plant flowers in?

1. 16
2. 24
3. 32 ✓
4. 48

Why: First, calculate the area of the entire yard. The area is length × width = 12 feet × 8 feet = 96 square feet. Now, to find the dimensions of the flower section, multiply the length and width by the respective fractions: (2/3) × 12 = 8 feet and (1/2) × 8 = 4 feet. Now calculate the area of the flower section: 8 feet × 4 feet = 32 square feet. Therefore, the correct answer is 32.

Carlos is planting a vegetable garden in his backyard. He has 48 seeds for tomatoes and 36 seeds for peppers. He wants to plant them in rows, with each row containing the same number of seeds. What is the greatest number of seeds he can plant in each row without any seeds left over?

1. 12 ✓
2. 6
3. 8
4. 9

Why: To find the greatest number of seeds Carlos can plant in each row, we need to find the greatest common divisor (GCD) of 48 and 36. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The largest factor they have in common is 12. Therefore, Carlos can plant 12 seeds in each row without any seeds left over.

Logan is organizing a fundraiser for his school's marching band in Arlington, Texas. He plans to sell boxes of Texas chili mix. Each box contains 12 packets, and he expects each packet to serve 2 people. If Logan sells a total of 15 boxes, how many total servings of chili mix will he have available to serve? Use the order of operations to find the answer.

1. 360 ✓
2. 180
3. 240
4. 300

Why: First, calculate the total number of packets Logan has by multiplying the number of boxes by the number of packets in each box: 15 boxes * 12 packets = 180 packets. Then, to find the total servings, multiply the total packets by the servings per packet: 180 packets * 2 servings/packet = 360 servings. Therefore, the correct answer is 360.

Avery visited Padre Island National Seashore with her family. They planned to spend 2 days camping and estimated that they would need 3.5 gallons of water per day. If each gallon of water costs $1.25, what will be the total cost for all the water they need for the trip?

1. $8.75 ✓
2. $10.50
3. $7.00
4. $12.00

Why: To find the total cost for the water, first calculate the total gallons needed: 2 days × 3.5 gallons/day = 7 gallons. Then calculate the cost: 7 gallons × $1.25/gallon = $8.75. Therefore, the total cost of the water they need for the trip is $8.75.

Carolina is planning a trip to the Houston Livestock Show and Rodeo. She wants to buy tickets for herself and her two friends. Tickets cost $12 each. Carolina also needs to budget an additional $8 for snacks. If Carolina starts with $50, how much money will she have left after purchasing the tickets and snacks?

1. $6 ✓
2. $14
3. $8
4. $10

Why: To find out how much money Carolina will have left, first calculate the total cost of the tickets. Since tickets cost $12 each and she is buying 3 tickets, that amounts to 3 * 12 = $36. Next, add the $8 for snacks, so the total spending will be $36 + $8 = $44. Finally, subtract that total from the $50 she started with: $50 - $44 = $6. Therefore, Carolina will have $6 left.