TEKS 6.3C Worksheets — Grade 6 Represent integer operations with concrete models and

Kenji is planning a trip to Galveston, Texas, where he wants to spend some time at the beach. He knows the average temperature in Galveston during July is about 88 degrees Fahrenheit. If the temperature is currently 10 degrees lower than the average, what is the current temperature in Galveston?

1. 78 degrees ✓
2. 80 degrees
3. 82 degrees
4. 86 degrees

Why: To find the current temperature in Galveston, subtract 10 degrees from the average temperature of 88 degrees. Therefore, 88 - 10 = 78 degrees. The correct answer is 78 degrees.

Lucia is visiting Galveston, Texas, where she wants to learn about the Kemp's ridley sea turtle. She finds that there are 45 turtles in a rehabilitation center. If 1/5 of them are released back into the ocean, how many turtles will still be at the center after the release?

1. 36 ✓
2. 9
3. 30
4. 27

Why: To find the number of turtles released, first calculate 1/5 of 45. 45 * 1/5 = 9 turtles are released. To find the number of turtles remaining at the center, subtract the number released from the initial total: 45 - 9 = 36. Therefore, 36 turtles will still be at the center after the release.

Lucy is organizing a picnic at Palo Duro Canyon for her friends. She plans to bring 3/4 of a gallon of sweet tea and 2/3 of a gallon of lemonade. If Lucy wants to bring the same amount of each drink, which expression represents how much more lemonade she needs to bring to match the amount of sweet tea?

1. 1/12 gallon ✓
2. 1/4 gallon
3. 1/2 gallon
4. 1/3 gallon

Why: To find how much more lemonade Lucy needs, first convert both fractions to have a common denominator. The least common multiple of 4 and 3 is 12. Convert 3/4 to 9/12 and 2/3 to 8/12. To match the sweet tea, she needs 1/12 more lemonade (9/12 - 8/12 = 1/12). Therefore, the correct answer is 1/12 gallon.

Carolina is organizing a community cleanup event in Galveston, Texas. She plans to collect trash from two different beaches. At the first beach, she collects 3/4 of a bag of trash. At the second beach, she collects 1/2 of a bag of trash. After lunch, Carolina finds an additional 1/3 of a bag of trash near a picnic area. How many total bags of trash did Carolina collect?

1. 1 7/12 ✓
2. 1 1/6
3. 1 3/4
4. 1 1/4

Why: To find the total bags of trash Carolina collected, first add 3/4 and 1/2. To do this, convert both fractions to have a common denominator. The common denominator between 4 and 2 is 4. This gives you 3/4 + 2/4 = 5/4. Next, add 5/4 to the additional 1/3. Find a common denominator for 4 and 3, which is 12. Convert 5/4 to 15/12 and 1/3 to 4/12. Now add 15/12 + 4/12 = 19/12, which is equal to 1 7/12. Therefore, Carolina collected a total of 1 7/12 bags of trash.

Rowan is planning to attend a high school football game in Houston. He wants to buy snacks for himself and his friends. If he spends $12 on nachos and $8 on drinks, but he has a gift card worth $25, how much money will he have left on the gift card after his purchases?

1. $5 ✓
2. $3
3. $7
4. $10

Why: To find out how much money Rowan will have left on his gift card after spending on nachos and drinks, first, add the costs of the snacks: $12 + $8 = $20. Then, subtract the total spent from the gift card amount: $25 - $20 = $5. Therefore, Rowan will have $5 left on his gift card.

Luna is organizing a school field trip to the Gulf Coast near Corpus Christi. The total cost for the trip is $1,250. If Luna collects $325 from ticket sales and $450 from donations, how much more money does she still need to collect to cover the total cost of the trip?

1. $475 ✓
2. $500
3. $425
4. $450

Why: To find out how much more money Luna needs to collect, first add the amounts she has collected: $325 + $450 = $775. Then subtract this total from the total cost of the trip: $1,250 - $775 = $475. Therefore, Luna needs to collect an additional $475.

Fatima is planning a trip to Austin to attend the SXSW music festival. She has saved $500 for the trip. If she spends $180 on a hotel and $95 on concert tickets, how much money will she have left for food and souvenirs?

1. $225 ✓
2. $215
3. $130
4. $205

Why: To find out how much money Fatima will have left, first add the expenses together: $180 for the hotel and $95 for the concert tickets. This gives us $180 + $95 = $275. Next, subtract the total expenses from her savings: $500 - $275 = $225. So, Fatima will have $225 left for food and souvenirs.

Tarik is planting bluebonnets in his garden near Austin, Texas. He has a 12-foot long garden bed and wants to plant bluebonnets spaced 2/3 of a foot apart. If he plants the first bluebonnet at the beginning of the garden bed, how many bluebonnets can he plant in the entire bed, including the one at the start?

1. 18
2. 19 ✓
3. 20
4. 21

Why: To find out how many bluebonnets Tarik can plant, we first divide the length of the garden bed by the spacing between the bluebonnets. The calculation is 12 feet ÷ (2/3 foot) = 12 * (3/2) = 12 * 1.5 = 18. However, since we start planting with the first bluebonnet at the beginning of the garden bed, we add one more to the total. Therefore, 18 + 1 = 19 bluebonnets can be planted.