Math Problem Statement
Solution
Let's break down and solve the problems one by one from the image.
Activity 8: Apply Your Skills
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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:
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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: Perform polynomial division to get the result.
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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: Perform polynomial division to find the average speed.
- 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
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Math Problem Analysis
Mathematical Concepts
Polynomial Division
Algebra
Volume of Solids
Area of Parallelograms
Rate and Speed Calculation
Formulas
Average speed = distance / time
Volume = base area * height
Area of parallelogram = base * height
Polynomial long division
Theorems
Division of polynomials
Basic algebraic identities
Suitable Grade Level
Grades 9-11
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