TEKS 8.5G Worksheets — Grade 8 Identify functions using sets of ordered pairs

Olivia is organizing a Texas high school football game event. She plans to sell tickets for the game where each ticket costs $12. If she sells 36 tickets and then spends $45 on refreshments, how much money does she have left after buying the refreshments?

1. 399
2. 387 ✓
3. 405
4. 399.80

Why: First, calculate the total money made from selling the tickets: 36 tickets × $12 per ticket = $432. Next, subtract the cost of refreshments: $432 - $45 = $387. Therefore, Olivia has $387 left after buying the refreshments.

Trinity is helping her family run a booth at the Bluebonnet Festival in Texas, where they sell homemade lemonade. They found that for every 3 liters of lemonade they make, they can serve 12 cups. If they want to serve 80 cups of lemonade, how many liters do they need to prepare?

1. 20 ✓
2. 15
3. 25
4. 30

Why: To determine how many liters of lemonade are needed to serve 80 cups, we first find the ratio: 12 cups requires 3 liters. We set up a proportion: 12/3 = 80/x. Cross-multiplying gives us 12x = 240. Dividing both sides by 12 results in x = 20. Therefore, Trinity needs to prepare 20 liters of lemonade.

Hannah is planning a trip to the Texas Hill Country to collect bluebonnets and cacti for her school project. She finds that in one area, the ratio of bluebonnets to cacti is 3:1. If she collects a total of 160 plants, how many bluebonnets does she collect?

1. 120 ✓
2. 40
3. 80
4. 60

Why: To find the number of bluebonnets, let the number of cacti be x. According to the ratio of bluebonnets to cacti, we have bluebonnets = 3x. The total number of plants is the sum of bluebonnets and cacti: 3x + x = 160. This simplifies to 4x = 160. Dividing both sides by 4, we find x = 40 (the number of cacti). Therefore, the number of bluebonnets is 3 * 40 = 120.

Leila is organizing a field trip for her class to Palo Duro Canyon. The cost for each student is $30. If 5 students are receiving a 20% discount, how much will Leila spend in total for all the students going on the trip if there are 25 students in total?

1. 675
2. 720 ✓
3. 600
4. 660

Why: To find the total cost, first calculate the total cost for the 20 students paying full price. The cost for 20 students is 20 * $30 = $600. For the 5 students receiving a 20% discount, the discount amount is $30 * 0.20 = $6. Therefore, the cost for each of the 5 students with a discount is $30 - $6 = $24. The total cost for the 5 students is 5 * $24 = $120. Now, add the total costs together: $600 + $120 = $720. Thus, Leila will spend a total of $720 for the trip.

Amelia is participating in a conservation project on the Gulf Coast of Texas, where she is measuring the population of dolphins. She observes that the ratio of adult dolphins to juvenile dolphins is 5:3. If there are 45 adult dolphins, how many juvenile dolphins does she estimate are present in the area?

1. 27 ✓
2. 36
3. 54
4. 60

Why: To find the number of juvenile dolphins, we first determine the total parts in the ratio: 5 (adult dolphins) + 3 (juvenile dolphins) = 8 parts. Since there are 45 adult dolphins, we find the value of one part by dividing 45 by 5, which equals 9. Since there are 3 parts for juvenile dolphins, we multiply 9 by 3 to get 27 juvenile dolphins. Thus, the correct answer is 27.

Maria hiked in Big Bend National Park over two days. On the first day, she hiked 6 miles. On the second day, the distance she hiked was proportional to the first day’s distance, with a ratio of 2:1. How many miles did Maria hike on the second day?

1. 3 miles
2. 6 miles
3. 12 miles ✓
4. 9 miles

Why: To find the distance Maria hiked on the second day, we take the distance from the first day (6 miles) and apply the ratio of 2:1. This means she hiked double the distance of the first day. Therefore, 2 * 6 miles = 12 miles. The correct answer is 12 miles.

Lily is planting a garden in her backyard in Waxahachie, Texas. She wants to plant tomatoes and peppers in a ratio of 2 to 3. If she plans to plant a total of 25 plants, how many tomatoes will she plant?

1. 10 ✓
2. 15
3. 12
4. 20

Why: To find out how many tomatoes Lily will plant, we first need to determine how many parts there are in total based on the ratio. The ratio of tomatoes to peppers is 2:3, which means there are 2 parts tomatoes and 3 parts peppers, giving a total of 2 + 3 = 5 parts. To find out how many plants correspond to one part, we divide the total number of plants by the number of parts: 25 / 5 = 5 plants per part. Since tomatoes are 2 parts, we multiply 5 plants by 2 parts: 5 * 2 = 10 tomatoes. Therefore, Lily will plant 10 tomatoes.

Daniela wants to create a flower garden with bluebonnets and sunflowers. She plans to plant 12 bluebonnets for every 5 sunflowers. If she has the space to plant a total of 204 flowers, how many bluebonnets will Daniela plant? Assume the ratio is maintained.

1. 144 ✓
2. 60
3. 84
4. 120

Why: To find out how many bluebonnets Daniela will plant, we first need to determine the total parts in the ratio: 12 bluebonnets + 5 sunflowers = 17 parts total. Next, we'll find the value of one part by dividing the total number of flowers by the total parts: 204 / 17 = 12. Now we multiply the number of bluebonnets by the value of one part: 12 * 12 = 144. Therefore, Daniela will plant 144 bluebonnets.