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Solving Rational Equations

Learn to solve rational equations using cross multiplication and LCD methods. Practice with real-life problems. Check solutions. Find inverses of functions. Detailed examples provided.

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Solving Rational Equations

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  1. Solving Rational Equations Section 7.5 beginning on page 392

  2. Solving by Cross Multiplying When you have two equal ratios, their cross products are equal. Example 1: Solve CHECK:

  3. Solving by Using the LCD Example 3a : Solve ** Multiply each term by the LCD. ** Check ** Simplify ** Solve

  4. Solving by Using the LCD Example 3b: Solve

  5. Solving an Equation With an Extraneous Solution Example 4: Solve

  6. Solving a Real – Life Problem Example 6 : The function represents the average cost c (in dollars) of making m models using a 3-D printer. Find how many models must be printed for the average cost per model to fall to $90. The average cost per model falls to $90 after 25 have been printed.

  7. Monitoring Progress Solve each equation and check your solution(s). 1) 2) 3) 4) 5) 6)

  8. Monitoring Progress Solve each equation and check your solution(s). 7) 8) **9) Consider the function . Determine whether the inverse of is a function then find the inverse.

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