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Cycle 3 – Lesson 8 – Solving Rational Equations

PART I – Simple Rational Equations

To solve Rational Equations algebraically, we want to get all the terms on one side of the equation and “0” on the other, then we can solve for the roots of the equation by factoring or using quadratic formula or Desmos (if it’s higher than degree 2 and it’s not factorable) EXAMPLES

c)

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PRACTICE QUESTIONS – Check your answers by substituting back into each equation

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PART II – More complex Rational Equations

When we don’t have a “fraction = fraction” situation, we can’t just cross-multiply. We will need to find a common denominator first and then get all the terms on one side of the equation. Examples: Solve. a)

b)

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PRACTICE QUESTIONS – Check your answers by substituting back into each equation Solve. 1.

2.

3.

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