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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 - PowerPoint PPT Presentation
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Example 1 One Excluded ValueExample 2 Multiple Excluded ValuesExample 3 Use Rational ExpressionsExample 4 Expression Involving MonomialsExample 5 Expression Involving PolynomialsExample 6 Excluded Values
Exclude the values for which
Subtract 7 from each side.
Answer: b cannot equal –7.
The denominator cannot equal zero.
State the excluded value of
Answer: –3
State the excluded value of
Exclude the values for which
The denominator cannot equal zero.
Factor.
Use the Zero Product Property to solve for a.
or
Answer: a cannot equal –3 or 4.
State the excluded value of
Answer: 2, 3
State the excluded value of
The original mechanical advantage was 5.
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.
Simplify.
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.
Use the expression for mechanical advantage to write an expression for the mechanical advantage in the new situation.
Answer: Since the mechanical advantage is 3, Kenyi can
lift 3 • 180 or 540 pounds with the longer bar.
If Kenyi can apply a force of 180 pounds, what is the greatest weight he can lift with the longer bar?
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?Answer: 4
Answer: 800 lb
The GCF of the numeratorand denominator is
Divide the numerator anddenominator by
1
1
Simplify
Answer: Simplify.
Simplify
Answer:
Factor.
Divide the numerator and denominator
by the GCF, x – 7.
1
1
Simplify
Answer: Simplify
Simplify
Answer:
Divide the numeratorand denominator bythe
1
1
Simplify State the excluded values of x.
Factor.
Simplify.Answer:
Exclude the values for which equals 0.
The denominator cannot equal zero.
Factor.
Zero Product Property
Evaluate.
Simplify.
Check Verify the excluded values by substituting them into the original expression.
Evaluate.
Simplify.
Answer: The expression is undefined when andTherefore,
Answer:
Simplify State the excluded values of w.
