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Home » use the distributive property to match equivalent expressions - Malaeb

use the distributive property to match equivalent expressions - Malaeb

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 A rectangles length is three times its width. If the width is increased by 4 units and the length is increased by 12 units, the area becomes 360 square units. What was the original width?

📌 The area of the new rectangle is given by:

📌 Since width cannot be negative, the original width is 8 units.

📌 The sum of the squares of two consecutive integers is 145. What are the integers?

📌 The integers are 8 and 9, or -9 and -8. Since no restriction is given, both valid, but typically smallest positive solution is expected.

📌 A cube has its surface area increased by 152 square units when each edge is lengthened by 2 units. What was the original edge length?

📌 Wait — this gives a non-integer. Lets double-check:

📌 The product of two positive integers is 210, and their sum is 59. What is the smaller integer?

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