NAME
DATE
8-1
PERIOD
Skills Practice
Adding and Subtracting Polynomials
1. (2x + 3y) + (4x + 9y) 6x + 12y
2. (6s + 5t) + (4t + 8s) 14s + 9t
3. (5a + 9b) - (2a + 4b) 3a + 5b
4. (11m - 7n) - (2m + 6n) 9m - 13n
5. (m2 - m) + (2m + m2) 2m2 + m
6. (x2 - 3x) - (2x2 + 5x) -x2 - 8x
7. (d2 - d + 5) - (2d + 5) d2 - 3d
8. (2h2 - 5h) + (7h - 3h2) -h2 + 2h
9. (5f + g - 2) + (-2f + 3)
10. (6k2 + 2k + 9) + (4k2 - 5k)
10k2 - 3k + 9
3f + g + 1
Determine whether each expression is a polynomial. If it is a polynomial, find the
degree and determine whether it is a monomial, binomial, or trinomial.
11. 5mt + t2
12. 4by + 2b - by
yes; 2; binomial
3x
14. −
13. -32
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
yes; 2; binomial
7
yes; 0; monomial
15. 5x2 - 3x-4
yes; 1; monomial
16. 2c2 + 8c + 9 - 3
no
yes; 2; trinomial
Write each polynomial in standard form. Identify the leading coefficient.
17. 3x + 1 + 2x2
18. 5x - 6 + 3x2
2x2 + 3x + 1; 2
19. 9x2 + 2 + x3 + x
3x2 + 5x - 6; 3
20. -3 + 3x3 - x2 + 4x
x3 + 9x2 + x + 2; 1
21. x2 + 3x3 + 27 - x
3
3x3 - x2 + 4x - 3; 3
22. 25 - x3 + x
2
-x3 + x + 25; -1
3x + x - x + 27; 3
23. x - 3x2 + 4 + 5x3
24. x2 + 64 - x + 7x3
5x3 - 3x2 + x + 4; 5
Chapter 8
7x3 + x2 - x + 64; 7
7
Glencoe Algebra 1
Lesson 8-1
Find each sum or difference.