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Solving Quadratic Equations by Factoring: Application Problems

Learn to solve quadratic equations using factoring method with real-world scenarios like baseball projectile and rock throw into a river. Practice problems included.

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Solving Quadratic Equations by Factoring: Application Problems

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  1. Section 8.2: Solving Equations by Factoring

  2. Objective: By following instructions, students will be able to: • Use factoring to solve quadratic equations in standard form for which a does not equal 1.

  3. Factor. explain 1A

  4. Factor. explain 1B

  5. Your-Turn #1 Factor.

  6. Change the quadratic equation to standard form if necessary and then solve by factoring. explain 2A

  7. Change the quadratic equation to standard form if necessary and then solve by factoring. explain 2B

  8. Your-Turn #2 Factor.

  9. Read the real-world situation and substitute in values for the projectile motion formula. Then solve the resulting quadratic equation by factoring to answer the question. explain 3A When a baseball player hits a baseball into the air, the height of the ball at t seconds after the ball is hit can be modeled with the projectile motion formula. If the ball is hit at 3 feet off the ground with an upward velocity of 47 feet per second, how long will it take for the ball to hit the ground, assuming it is not caught?

  10. Read the real-world situation and substitute in values for the projectile motion formula. Then solve the resulting quadratic equation by factoring to answer the question. explain 3B A child standing on a river bank ten feet above the river throws a rock toward the river at a speed of 12 feet per second. How long does it take before the rock splashed into the river?

  11. Revisit Objective: Did we… • Use factoring to solve quadratic equations in standard form for which a does not equal 1?

  12. HW: Sec 8.2pg 247#s 1-18

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