1 / 21

Transparency 1

Transparency 1. Click the mouse button or press the Space Bar to display the answers. Transparency 1a. Lesson 2 Contents. Example 1 One Excluded Value Example 2 Multiple Excluded Values Example 3 Use Rational Expressions Example 4 Expression Involving Monomials

una
Download Presentation

Transparency 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

  2. Transparency 1a

  3. Lesson 2 Contents Example 1One Excluded Value Example 2Multiple Excluded Values Example 3Use Rational Expressions Example 4Expression Involving Monomials Example 5Expression Involving Polynomials Example 6Excluded Values

  4. State the excluded value of Exclude the values for which The denominator cannot equal zero. Subtract 7 from each side. Example 2-1a Answer: b cannot equal –7.

  5. State the excluded value of Example 2-1b Answer: –3

  6. State the excluded value of Exclude the values for which The denominator cannot equal zero. Factor. or Example 2-2a Use the Zero Product Property to solve for a. Answer: a cannot equal –3 or 4.

  7. State the excluded value of Example 2-2b Answer: 2, 3

  8. Example 2-3a Landscaping Refer toExample 3 on page 649.Suppose Kenyi finds arock that he cannot movewith a 6-foot bar, so he gets an 8-foot bar. But thistime, he places the fulcrumso that the effort arm is 6 feetlong, and the resistance armin 2 feet long. Explain whether he has more or less mechanicaladvantage with his new setup. The original mechanical advantage was 5.

  9. Simplify. Example 2-3b Use the expression for mechanical advantage to write an expression for the mechanical advantage in the new situation. Answer: Even though the bar is longer, because he moved the fulcrum he has a mechanical advantage of 3, so his mechanical advantage is less than before.

  10. Example 2-3c If Kenyi can apply a force of 180 pounds, what is the greatest weight he can lift with the longer bar? Answer: Since the mechanical advantage is 3, Kenyi can lift 3•180 or 540 pounds with the longer bar.

  11. Landscaping Sean and Travis are responsible for clearing an area for a garden. They come across a large rock that they cannot lift. Therefore, they use a 5-foot bar as a lever, and the fulcrum is 1 foot away from the rock. a. Use the formula to find the mechanical advantage. b. If they can apply a force of 200 pounds, what is the greatest weight they can lift? Example 2-3d Answer: 4 Answer: 800 lb

  12. Simplify The GCF of the numeratorand denominator is 1 Divide the numerator anddenominator by 1 Simplify. Answer: Example 2-4a

  13. Simplify Answer: Example 2-4b

  14. Simplify Factor. 1 Divide the numerator and denominator by the GCF, x – 7. 1 Answer: Simplify Example 2-5a

  15. Simplify Answer: Example 2-5b

  16. Simplify State the excluded values of x. Factor. 1 Divide the numeratorand denominator bythe 1 Answer: Simplify. Example 2-6a

  17. Exclude the values for which equals 0. The denominator cannot equal zero. Factor. Zero Product Property Example 2-6b

  18. Evaluate. Simplify. Example 2-6c Check Verify the excluded values by substituting them into the original expression.

  19. Evaluate. Simplify. Answer: The expression is undefined when and Therefore, Example 2-6d

  20. Simplify State the excluded values of w. Answer: Example 2-6e

  21. End of Lesson 2

More Related