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Mastering Formula Rearrangement: Solving for a Specified Variable

This section delves into the techniques of solving formulas for specified variables. It covers various examples, including rearranging equations like (2x - 4 = 16) and (kx - r = m) to isolate (x). Additionally, it demonstrates how to solve for different variables using practical methods such as division, subtraction, and multiplication. Understanding these principles is essential for effectively manipulating equations in mathematics and other applications. This guide aims to equip you with the skills needed for rearranging formulas confidently.

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Mastering Formula Rearrangement: Solving for a Specified Variable

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  1. Columbus State Community College Chapter 6 Section 5 Formula Rearrangement

  2. Formula Rearrangement • Solve a formula for a specified variable.

  3. + 4 + 4 + r + r 2 2 kk m + r x = k Solving Equations and Formula Rearrangement Solve each of the following for x. 2x – 4 = 16 kx – r = m; solve for x 2x = 20 kx = m + r x = 10

  4. A BCD = CD CD A = B CD Solving for a Specified Variable EXAMPLE 1 Solving for a Specified Variable Solve A = BCD for B. A = BCD Divide by CD.

  5. – b – b y – b m x = x x y – b m = x Solving for a Specified Variable EXAMPLE 2 Solving for a Specified Variable Solve y = m x + b for m. y = m x + b Subtract b. y – b = m x Divide by x.

  6. Solve y = b h for b. y = b h 2y = b h 2 1 1 1 1 2 2 2 2y 2y b h b = = h h h Solving for a Specified Variable EXAMPLE 3 Solving for a Specified Variable Multiply by 2. 2y = b h Divide by h.

  7. Formula Rearrangement Chapter 6 Section 5 – Completed Written by John T. Wallace

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