Solve for B Given S = Ph + 2B / Literal Equations // Algebra I STAAR 2023 // 45

The Math Bey1 minute read

To isolate B in the equation S = pH + 2B, subtract pH from both sides to get S - pH = 2B, and then divide by 2 to find B = (S - pH) / 2. This confirms that the equivalent equation for B is indeed B = (S - pH) / 2.

Insights

  • By rearranging the equation S = pH + 2B, we can isolate B, showing that B can be expressed as half the difference between S and pH, specifically B = (S pH) / 2.
  • This process of isolating variables highlights a fundamental algebraic principle: manipulating equations through subtraction and division allows us to derive equivalent expressions, enhancing our understanding of relationships between variables.

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Summary

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Isolating B in the Equation S Equals pH

  • To isolate B in the equation S = pH + 2B, first subtract pH from both sides, resulting in S - pH = 2B.
  • Next, divide both sides by 2 to obtain B = (S - pH) / 2, confirming the equivalent equation is B = (S - pH) / 2.
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