https://file.aiquickdraw.com/mathbot/file/1725810717730hn14m32d.jpeg

Let's break down and solve the problems one by one from the image.

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### **Activity 8: Apply Your Skills**

1. **Problem 1:**  
   **The total cost of (3a - 2b) units of cell phone is (6a² + 5ab - 6b²) pesos. What expression represents the cost of one cell phone?**

   To find the cost of one cell phone, divide the total cost by the number of units:
   \[
   \text{Cost of one cell phone} = \frac{6a^2 + 5ab - 6b^2}{3a - 2b}
   \]

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2. **Problem 2:**  
   **If one ream of bond paper costs (3x - 4) pesos, how many reams can you buy for (6x⁴ - 17x³ + 24x² - 34x + 24) pesos?**

   To find the number of reams, divide the total money by the cost of one ream:
   \[
   \text{Number of reams} = \frac{6x^4 - 17x^3 + 24x^2 - 34x + 24}{3x - 4}
   \]
   Perform polynomial division to get the result.

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3. **Problem 3:**  
   **If a car covers (15x² + 7x - 2) km in (3x + 2) hours, what is the average speed in km/h?**

   Average speed is given by distance divided by time:
   \[
   \text{Average speed} = \frac{15x^2 + 7x - 2}{3x + 2}
   \]
   Perform polynomial division to find the average speed.

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4. **Problem 4:**  
   **The volume of a rectangular solid is (x³ + 3x² + 2x - 5) cubic cm, and its height is (x + 1) cm. What is the area

Solve the following problems from Activity 8. 1) The total cost of (3a - 2b) units of cell phone is (6a² + 5ab - 6b²) pesos. What expression represents the cost of one cell phone? 2) If one ream of bond paper costs (3x - 4) pesos, how many reams can you buy for (6x⁴ - 17x³ + 24x² - 34x + 24) pesos? 3) If a car covers (15x² + 7x - 2) km in (3x + 2) hours, what is the average speed in km/h? 4) The volume of a rectangular solid is (x³ + 3x² + 2x - 5) cubic cm, and its height is (x + 1) cm. What is the area of its base? 5) The area of a parallelogram is (2x² + 11x - 9) square units. If the length is given by (2x - 3) units, what expression represents its width? 6) If a car moving at a constant rate travels (2x³ - x² - 4x + 3) km in (x² - 2x + 1) hours, what is the rate of the car in km per hour? 7) A tailor earns (12y² + y - 35) pesos for working (3y - 5) hours. How much does he earn per hour?

Learn how to solve polynomial division and algebraic problems involving cell phone cost, speed, volume, and area of a parallelogram. This problem set is suitable for students in Grades 9-11 and covers topics such as the division of polynomials, area and volume calculations, and rate determination.

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