TEKS 7.3A Worksheets — Grade 7 Add, subtract, multiply, and divide rational numbers

Sofia is having a picnic and wants to share fruit with her friends. She has 24 pieces of fruit, and she wants to divide them equally among 6 friends at the picnic. How many pieces of fruit will each friend receive?

1. 4 ✓
2. 6
3. 8
4. 12

Why: To find out how many pieces of fruit each friend will receive, divide the total number of pieces of fruit by the number of friends. So, 24 pieces ÷ 6 friends = 4 pieces per friend. Therefore, each friend receives 4 pieces of fruit.

Lucia wants to buy a new pair of running shoes at the Austin Running Store. The shoes cost $85.99. If she has a coupon for 15% off the regular price, how much will she pay for the shoes after applying the coupon?

1. 72.09
2. 73.09 ✓
3. 74.09
4. 75.09

Why: To find the amount Lucia will pay after applying the coupon, first calculate 15% of $85.99. The coupon discount is 0.15 * 85.99 = 12.8985, which rounds to $12.90. Now, subtract this discount from the original price: $85.99 - $12.90 = $73.09. Therefore, Lucia will pay $73.09 for the shoes.

Noah has a collection of 120 baseball cards. He wants to organize them into packs to give to his friends. If he puts 8 cards in each pack, how many full packs can Noah create from his collection?

1. 15 ✓
2. 12
3. 10
4. 16

Why: To find out how many full packs Noah can create, divide the total number of cards (120) by the number of cards per pack (8). This calculation is 120 ÷ 8 = 15. Therefore, Noah can create 15 full packs.

Sanaa is planning a road trip from Austin to Big Bend National Park, which is about 320 miles away. She wants to divide the trip into two segments. In the first segment, she will drive 2/5 of the total distance and in the second segment, she will drive the remaining distance. How many miles will Sanaa drive in the first segment of her trip?

1. 128 ✓
2. 160
3. 192
4. 96

Why: To find the distance Sanaa will drive in the first segment, calculate 2/5 of the total distance of 320 miles. This can be found by multiplying 320 by 2/5. First, divide 320 by 5 which equals 64. Then, multiply 64 by 2 to find that she will drive 128 miles in the first segment. Therefore, the correct answer is 128.

Noah is organizing a fundraising car wash to help his school. He has a chart that shows how much money they raised each hour: Hour 1 - $30, Hour 2 - $45, Hour 3 - $25, Hour 4 - $40. How much money did they raise in total after 4 hours?

1. 140 ✓
2. 120
3. 150
4. 130

Why: To find the total amount raised, add the money raised in each hour: 30 + 45 + 25 + 40 = 140. Therefore, the total amount raised after 4 hours is 140.

Grace is planning a trip from Fort Worth to El Paso, which is approximately 600 miles. She wants to calculate the total cost of gas for the trip. If her car gets 25 miles per gallon and the price of gas is $3.20 per gallon, how much will Grace spend on gas for the entire trip?

1. $76.80 ✓
2. $60.00
3. $80.00
4. $72.00

Why: To find the total cost of gas for the trip, first divide the total distance by the miles per gallon of Grace's car: 600 miles ÷ 25 miles per gallon = 24 gallons. Next, multiply the number of gallons by the cost per gallon: 24 gallons × $3.20 per gallon = $76.80. Therefore, Grace will spend $76.80 on gas for the entire trip.

Zara is organizing a picnic for her friends at Zilker Park. She has 48 sandwiches and she wants to divide them equally among 8 friends. How many sandwiches will each friend receive?

1. 6 ✓
2. 8
3. 5
4. 7

Why: To find out how many sandwiches each friend will receive, divide the total number of sandwiches by the number of friends. So, 48 sandwiches ÷ 8 friends = 6 sandwiches per friend. Therefore, each friend receives 6 sandwiches.

Mateo is helping his family run a taco stand at the Houston Livestock Show and Rodeo. They sell tacos for $3.50 each. If Mateo sells 12 tacos on Friday and 15 tacos on Saturday, how much money did Mateo earn in total from taco sales over the two days?

1. $94.50 ✓
2. $82.50
3. $75.00
4. $87.50

Why: To find out how much money Mateo earned, we first calculate the total number of tacos sold over the two days. On Friday, he sold 12 tacos, and on Saturday, he sold 15 tacos. The total tacos sold is 12 + 15 = 27 tacos. Then, we multiply the total tacos sold by the price per taco: 27 * $3.50 = $94.50. Therefore, Mateo earned $94.50 from taco sales over the two days.