2728 Words11 Pages

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. Prentice Hall Foundations Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 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? Prentice Hall Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 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

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. Prentice Hall Foundations Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 26 Name Class Date 8-4 1. (y + 1)2

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? Prentice Hall Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 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

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