Tiêu đề WK10 - Y5 - MATH - HW - ALGEBRA 2 - AN.docx.pdf ✅

Area = 2 * 2 = 4 square units. Area/2 = 4/2 = 2 square units. Step 2: The length of the side of the original square is tripled. The side of the new square is 3 * 2 = 6 units. Area = 6 * 6 = 36 square units. The ratio of one-half the area of the original square to the whole area of the new square is - 2/36 = 1/18 Answer: B. 1/18 Question 4: Step 1: We have - ■ - ■ = 4 ■ = 4 + ■ (2 × ■) + ■ = 5 2■ + ■ = 5 Step 2: Substituting ■ = 4 + ■, we have - 2(4 + ■) + ■ = 5 8 + 3■ = 5 3■ = 5 - 8 ■ = -3/3 = -1. Then, we have - ■ = 4 - 1 = 3. Answer: A. 3 Question 5: Step 1: We have - A = 4B + 10 and A = 7B - 5 Then, we have - 4B + 10 = 7B - 5 3B = 15 B = 15/3 = 5. Step 2: Substituting B = 5, we have - A = 4(5) + 10 A = 20 + 10 A = 30. ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 2
Answer: D. 30 Question 6: Step 1: The first file had a size of G gigabytes, and the second file was 20 gigabytes bigger than the first file. Second file = G + 20 Step 2: Then, the total size of two files is - G + G + 20 = 2G + 20 Answer: C. 2G + 20 gigabytes Question 7: Step 1: The first video was 15 minutes long, the second video was 10 minutes longer than the first video, and the third video was 5 times as long as the first video. Second video = 15 + 10 = 25 minutes. Third video = 5 * 15 = 75 minutes. Step 2: The three video have a total length of - 15 + 25 + 75 = 115 minutes. Answer: E. 115 minutes Question 8: Step 1: She spent a total of $468. She spent 1/2 of her money on clothes, 2/3 of what was left on some bags, and the rest on food. Clothes = 468/2 = 234 The remaining amount is 468 - 234 = $234 Bags = 2/3 * $234 = $156 Step 2: The remaining amount is - $234 - $156 = $78. So, she spent $78 on food. Answer: B. $78 ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 3
Question 9: Step 1: The large pack had a mass of 450 grams. The small pack was half as heavy as the medium pack, and the medium pack was 1/3 as heavy as the large pack. Step 2: Medium pack = 450 * 1/3 = 150 grams. Small pack = 150/2 = 75 grams. Answer: A. 75 grams Question 10: Step 1: She sold 34 small cups of lemonade. She sold 1/3 as many small cups as large cups, and 13 fewer medium cups as large cups. Large cups = 3 * 34 = 102 Medium cups = 102 - 13 = 89. Step 2: Total number of cups sold is - 34 + 102 + 89 = 225 cups. Answer: C. 225 cups Question 11: Step 1: The first album contained 77 stamps, and the second album contained 35 stamps. Big Bird wanted to rearrange the stamps in the two albums so that each had the same number of stamps. Step 2: Total number of stamps are - 77 + 35 = 112 So, both albums will have 112/2 = 56 stamps each. Number of stamps needed to transfer to second album is - 56 - 35 = 21 stamps. So, the first album needs to transfer 21 stamps. Answer: B. 21 stamps ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 4