1. 10.3 - Quadratic Applications
Do NOW
Solve for the following.
(x – 3)(x + 8) = 0
(2x – 7)(5x + 9) = 0
x2 – 3x – 10 = 0
Find the roots of the following.
4) 5) x y -3 8 -2 4 -1 -4 1
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Quadratic Applications

2. 10.3 - Quadratic Applications
Worksheet Key
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Quadratic Applications

3. 10.3 - Quadratic Applications
Worksheet Key
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Quadratic Applications

4. 10.3 - Quadratic Applications
Worksheet Key
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Quadratic Applications

5. Factoring Applications
Section 9.5, Revised ©2013,
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Quadratic Applications

6. Quadratic Applications
Read the question TWICE
Understand the Question
Underline key numbers and terms
Plug in equation using the graphing calculator
When graphing, ALWAYS label the x and y-axis (Remember: y depends on x)
Plot out the points from the graphing calculator
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Quadratic Applications

7. 10.3 - Quadratic Applications
Review
If a rectangle has the length of (x – 4) and width of (x – 4), what is the area?
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Quadratic Applications

8. 10.3 - Quadratic Applications
Example 1
A square has an area of x2 – 8x Find the length and width using tiles.
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Quadratic Applications

9. 10.3 - Quadratic Applications
Example 2
A square has an area of x2 + 4x Find the length of the side.
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Quadratic Applications

10. 10.3 - Quadratic Applications
Your Turn
A square has an area of x2 – 10x Find the length of the side.
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Quadratic Applications

11. 10.3 - Quadratic Applications
Example 3
A plot of land is rectangular and has an area of x2 – 5x – 24 m2. The length is x + 3 m. Find the width of the plot of land.
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Quadratic Applications

12. 10.3 - Quadratic Applications
Example 4
The area of a poster board is x2 + 3x – 10 inches. The width is x – 2 inches. Find the length of the poster board. Then, find the dimensions when x = 14.
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Quadratic Applications

13. 10.3 - Quadratic Applications
Your Turn
The area of a rectangle is given by A = x2 + 4x – 5 m. Find expressions for the length and width of the rectangle. Then, find the dimensions if x = 10 m.
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Quadratic Applications

14. 10.3 - Quadratic Applications
Example 5
The area of a rectangle is 12x2 + 6x. Find the length of the rectangle if the width is 6x. Then find the dimensions if x = 5.
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Quadratic Applications

15. 10.3 - Quadratic Applications
Example 6
An antique Persian carpet has an area of x2 + x – 20 ft2 and a length of x + 5 ft. The rug is displayed on a wall in a museum. The wall has a width of x + 2 feet and an area of x2 + 17x + 30 ft2. Write expressions for the length and width of both the rug and wall. Then find the dimensions of the rug and if x = 20 feet.
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Quadratic Applications

16. 10.3 - Quadratic Applications
Example 6
An antique Persian carpet has an area of x2 + x – 20 ft2 and a length of x + 5 ft. The rug is displayed on a wall in a museum. The wall has a width of x + 2 feet and an area of x2 + 17x + 30 ft2. Write expressions for the length and width of both the rug and wall. Then find the dimensions of the rug and if x = 20 feet.
(x + 15) ft.
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Quadratic Applications

17. 10.3 - Quadratic Applications
Example 6
An antique Persian carpet has an area of x2 + x – 20 ft2 and a length of x + 5 ft. The rug is displayed on a wall in a museum. The wall has a width of x + 2 feet and an area of x2 + 17x + 30 ft2. Write expressions for the length and width of both the rug and wall. Then find the dimensions of the rug and if x = 20 feet.
(x + 15) ft.
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Quadratic Applications

18. 10.3 - Quadratic Applications
Your Turn
A carpet has an area of x2 + 5x – 6 ft2 and a length of x + 6 ft. The rug is displayed on a wall in a museum. The wall has a width of x – 2 feet and an area of x2 + 10x – 24 ft2. Write expressions for the length and width of both the rug and wall. Then find the dimensions of the rug and if x = 15 feet.
(x – 2) ft.
(x + 6) ft.
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Quadratic Applications

19. 10.3 - Quadratic Applications
Assignment
Worksheet
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Quadratic Applications