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Lesson 2.5 Literal Equations

Lesson 2.5 Literal Equations. Introduction

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Lesson 2.5 Literal Equations

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  1. Lesson 2.5 Literal Equations

  2. Introduction Literal equations are equations that involve two or more variables. Sometimes it is useful to rearrange or solve literal equations for a specific variable in order to find a solution to a given problem. In this lesson, literal equations and formulas, or literal equations that state specific rules or relationships among quantities, will be examined. 1.5.1: Rearranging Formulas

  3. Key Concepts It is important to remember that both literal equations and formulas contain an equal sign indicating that both sides of the equation must remain equal. Literal equations and formulas can be solved for a specific variable by isolating that variable. 1.5.1: Rearranging Formulas

  4. Guided Practice: Example 1 Solve 4y + 3x = 16 for y. Begin isolating y by subtracting 3x from both sides of the equation. 1.5.1: Rearranging Formulas

  5. Guided Practice: Example 1, continued To further isolate y, divide both sides of the equation by the coefficient of y. The coefficient of y is 4. Be sure that each term of the equation is divided by 4. ✔ 1.5.1: Rearranging Formulas

  6. Guided Practice Example 2 The formula for finding the area of a triangle is ,where b is the length of the base and h is the height of the triangle. Suppose you know the area and height of the triangle, but need to find the length of the base. In this case, solving the formula for b would be helpful. 1.5.1: Rearranging Formulas

  7. Guided Practice: Example 2, continued Begin isolating b by multiplying both sides of the equation by 2. 1.5.1: Rearranging Formulas

  8. Guided Practice: Example 2, continued To further isolate b, divide both sides of the equation by h. or 1.5.1: Rearranging Formulas

  9. On Your Own: Ra- Rb = v · t Solve for t

  10. On Your Own: Solve for

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