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Algebraic Expressions and Geometric Formulas in Cost Calculations

Explore the intricacies of algebraic expressions through practice problems focusing on terms, factors, coefficients, and constants. This guide delves into practical examples, such as total cost calculations impacted by varying coefficients, and the application of area formulas for geometric shapes such as trapezoids and cylinders. Understand the significance of each component in algebraic expressions and their relevance in real-world scenarios.

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Algebraic Expressions and Geometric Formulas in Cost Calculations

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  1. Practice 1.1.1 1. 2.

  2. 3.

  3. 5(x3) + (6 – x3) = 5x3 + 6 – x3 = 4x3 + 6 5. 3x3 + 6x2 + 9x + 1

  4. 6. total cost = 6x – 6x(.15)= 5.1x • term: 5.1x • factors: 5.1 and x • coefficients: 5.1 • constants: none • 10x – 0.25(10x) + 5.99 = 10x – 2.5x + 5.99 = 7.5x + 5.99 • terms: 7.5x and 5.99 • factors: 7.5 and x • coefficients: 7.5 • constants: 5.99

  5. 8. terms: factors: 28 and coefficients: 28 constants: none

  6. area of trapezoid = • surface area of cylinder = terms: ½ hb1 ½ hb2 factors: ½ and h and b1 ½ andh and b++ coefficients: ½ ½ constants:none terms: 2πr2 and 2πrh factors: 2 and π and r2 2 and π and r and h coefficients: 2 2 constants: none

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