Adding And Subtracting Polynomials Paper

Name

Class

Date

8-1
1. 3s3t3

Practice
Adding and Subtracting Polynomials

Form K

Find the degree of each monomial.
2. 3n 3. 5xy

4. 7
5.

1 5 k 4

6. d

Simplify.
7. 3mn4 + 6mn4 9. −11c4d + 12c4d 8. 12g2 − 7g2 10. 42z3 − 15z3

Write each polynomial in standard form. Then name each polynomial based on its degree and number of terms.
11. 7a + 4 − a2 13. −11d
4

12. 5b2 + 2n 14. 2x − 9 + 2x + 8 − 4x
3

15. A pizza shop owner is monitoring the amount of cheese he uses each week. The

polynomials below model the pounds of cheese ordered in the past, where p represents pounds. Mozzarella: 3p3 − 6p2 + 14p + 125 Cheddar: 12.5p2 + 18p + 75 Write a polynomial that models the total number of pounds of cheese that…show more content…
The radius of a circle is (7x + 3) cm. Write an expression to represent the area of the

circle in simplified form.

23. A rectangle has a length of (x + 2) in. and a width of (2x + 3) in. Find an expression that

represents the area of the rectangle. Write the expression in simplified form.

Simplify each product using the FOIL method.
24. (x + 4)(x + 6) 27. (t − 4)(t − 9) 25. (a − 5)(2a − 6) 28. (n + 8)(2n − 7) 26. (6d2 + 4)(8d − 3) 29. (f − 7)(f + 3)

Simplify each product.
30. (c + 4)(c2 − 3c + 5) 32. (4x2 + 2x + 3)(3x − 8) 31. (p2 − 2p + 5)(p − 7) 33. (5t2 + 3t − 11)(6t − 1)

34. A community center is expanding the size of its rectangular meeting hall. The hall

is currently 300 ft long and 150 ft wide. The center plans to expand both the length and the width of the meeting hall by 3x ft. What polynomial in standard form represents the area of the expanded meeting hall?

35. Open-Ended Write a cubic monomial and a fourth-degree trinomial. Then find

their product and write it in standard form.

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26

Name

Class

Date

8-4
1. (y + 1)2…show more content…
2. (n + 11)2 3. (t + 7)2

4. (3m + 6)2

5. (4x + 1)2

6. (3n + 2)2

7. (t − 3)2

8. (7v − 3)2

9. (6p − 5)2

The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.
10. 11.

12. A flat, square roof needs a square patch in the corner to seal a leak. The side length of

the roof is (x + 12) ft and the side length of the patch is x ft. What is the area of the good part of the roof?

13. A white, square quilt has a purple square in the center. The side length of the purple

square is (x − 5) inches and the width of the quilt is 60 inches. What is the area of the white part of the quilt?

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35

Name

Class

Date

8-4
14. 522

Practice (continued)
Multiplying Special Cases

Form K

Mental Math Simplify each product.
15. 182 16. 1192

17. 495

2

18. 72