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Math I
Factoring by Difference of Squares and Grouping
I. Review
[pic]
II. Factor using Difference of Squares
1. [pic] 2. [pic] 3. [pic] 4. [pic]
5. [pic] 6. [pic] 7. [pic] 8. [pic]
9. [pic] 10. [pic] 11. [pic] 12. [pic]
13. [pic] 14. [pic] 15. [pic] 16. [pic]
III. Practice
17. [pic] 18. [pic] 19. [pic] 20. [pic]
21. [pic] 22. [pic] 23. [pic] 24. [pic]
III. Applications
25. The area of a rectangle is [pic]. Find the length and width of the rectangle.
27. The area of a triangle is [pic]. Find the base and the height of the triangle.
26. A rectangular commercial real estate parcel has an area of [pic] square units and a length of [pic] units. Write an expression to represent the perimeter of the parcel.
28. The area of a rectangle is [pic]. Find the perimeter of the rectangle.
III. Factor by Grouping
1. [pic] 2. [pic] 3. [pic]
4. [pic] 5. [pic] 6. [pic]
IV. Practice
V. Applications
7. The area of a rectangle is [pic]. Find the length and width of the rectangle.
8. The area of a rectangle is [pic]. Find the perimeter of the rectangle.
9. The area of a rectangle is [pic].
a) Find the length and width of the rectangle.
b) Find the perimeter of the rectangle.
10. The area of a rectangle is [pic].
a) Find the length and width of the rectangle.
b) Find the perimeter of the rectangle.
VI. Homework
1. [pic] 2. [pic] 3. [pic] 4. [pic]
5. [pic] 6. [pic] 7. [pic] 8. [pic]
9. [pic] 10. [pic] 11. [pic] 12. [pic]
13. [pic] 14. [pic] 15. [pic] 16. [pic]
17. [pic] 18. [pic] 19. [pic] 20. [pic]
21. [pic] 22. [pic] 23. [pic] 25. [pic]
26. The area of a rectangle is [pic]. Find the length and width of the rectangle.
27. The area of a rectangle is [pic]. Find the perimeter of the rectangle.
28) [pic] 29) [pic] 30) [pic]
31) [pic] 32) [pic] 33) [pic]
34) [pic] 35) [pic][pic] 36) [pic]
37) [pic] 38) [pic]
21) The area of a rectangle is given by [pic]. Find the length and the width.
22) The area of a rectangle is given by [pic]. Find the perimeter of the rectangle.
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