1. Grade Distribution 3rd 5th 8th A 8 5 n/a B 7 C 2 3 D 1 F 4 6 No Show
100+
Range
56-100
44-105
Avg
83.6
76.64
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9.3a: Applications

2. Polynomial Applications
Section 9.3a
Polynomial Applications
9.3a: Applications
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3. Types of Terms CONSTANT is a function not associated with a variable
LINEAR is a function whereas the highest degree is one
QUADRATIC is a function whereas the highest degree is two
CUBIC is a function whereas the highest degree is three
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9.3a: Applications

4. Types of Degrees
MONOMIAL is a number or a product of numbers and variables with whole number exponents
BINOMIAL is a polynomial with two terms
TRINOMIAL is a polynomial with three terms
POLYNOMIAL is a monomial or the sum or difference of monomials.
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9.3a: Applications

5. Example 1
Given –5x2 + 4x + 3, identify the highest degree and the amount of terms. Then, label the polynomial.
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9.3a: Applications

6. Example 2
Given x – 4, identify the highest degree and the amount of terms. Then, label the polynomial.
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9.3a: Applications

7. Example 3
Given 8x3 + 5x2 + x – 4, identify the highest degree and the amount of terms. Then, label the polynomial.
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9.3a: Applications

8. Your Turn
Given 5x3– 1, identify the highest degree and the amount of terms. Then, label the polynomial.
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9.3a: Applications

9. Equations Use your STAAR CHART What does perimeter mean?
What does area mean?
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9.3a: Applications

10. Steps in Applications Read the question TWICE Understand the Question
Underline key numbers and terms
Draw a picture
Write out the equation
Show all work (DO NOT DO IT ALL IN YOUR HEAD OR PLUG EVERYTHING IN THE CALCULATOR)
Label appropriately
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9.3a: Applications

11. Review What does x + x equal to? What does x • x equal to?
What does (x + 2)2 equal to?
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9.3a: Applications

12. Example 4
Find the perimeter and area of a square with the sides of 5x4y7.
Perimeter:
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9.3a: Applications

13. Example 4
Find the perimeter and area of a square with the sides of 5x4y7.
Area:
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9.3a: Applications

14. Your Turn
Find the perimeter and area of a square with the sides of 2x9y3.
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9.3a: Applications

15. Example 5
Find the perimeter and area of a rectangle with the length of (2x – 5) in. and width is (x + 3) in.
Perimeter:
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9.3a: Applications

16. Example 5
Find the perimeter and area of a rectangle with the length of (2x – 5) in. and width is (x + 3) in.
Area:
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9.3a: Applications

17. Example 6
Find the perimeter and area of a rectangle with the length of (2x – 9) in. and width is (4x + 1) in.
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9.3a: Applications

18. Your Turn
Find the perimeter and area of a rectangle with the length of (3x – 1) in. and width is (3x + 2) in.
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9.3a: Applications

19. Example 7
Find the perimeter and area of a triangle with the sides of (x + 4) in. and (x – 5) in., base of (x + 3) in., and height is (6x) in.
Perimeter:
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9.3a: Applications

20. Example 7
Find the perimeter and area of a triangle with the sides of (x + 4) in. and (x – 5) in., base of (x + 3) in., and height is (6x) in.
Area:
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9.3a: Applications

21. Example 8
Find the perimeter and area of a triangle with the sides of (2x) in. and (5x – 9) in., base of (4x + 5) in., and height is (x – 2) in.
Perimeter: Area:
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9.3a: Applications

22. Your Turn
Find the perimeter and area of a triangle with the sides of (x – 6) in. and (x + 9) in., base of (2x – 1) in., and height is (4x) in.
Perimeter: Area:
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9.3a: Applications

23. Example 9
Charles wants a new patio. He wants the length to be 9 more than twice the width (w). What is the area of his patio in terms of the width?
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9.3a: Applications

24. Example 10
The Major family wants to expand their kitchen. In order to do so, they are knocking down some walls and adding some new pieces of the room as listed below. The original length is x + 4 and the width is x – 3. The new dimensions for the extension of the room is with 2x – 1 for its length and x – 5 for the width. What is the TOTAL area of the new kitchen?
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9.3a: Applications

25. Example 10
The Major family wants to expand their kitchen. In order to do so, they are knocking down some walls and adding some new pieces of the room as listed below. The original length is x + 4 and the width is x – 3. The new dimensions for the extension of the room is with 2x – 1 for its length and x – 5 for the width. What is the TOTAL area of the new kitchen?
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9.3a: Applications

26. Your Turn
The Major family wants to expand their kitchen. In order to do so, they are knocking down some walls and adding some new pieces of the room as listed below. The original length is x + 8 and the width is x – 5. The new dimensions for the extension of the room is with 3x – 1 for its length and x – 9 for the width. What is the TOTAL area of the new kitchen?
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9.3a: Applications

27. Assignment
Worksheet
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9.3a: Applications