Investigating Monomials (pp. 1 of 4)

Algebra 2
HS Mathematics
Unit: 06 Lesson: 01
Operating Around Polynomials
Work problem exercises A and B, then connect the answers of A1 to B1, A2 to B2, etc. with a line. Continue until all
problems are completed. Shade in areas with odd numbers.
Exercise A - Simplify
1. (-3a + 2b – c) + (4b + 3a – 2c) 15. (2x 3 – 3x 2 y + 2xy 2 ) – (-4x 2 y – x 3 )
2. (2x 2 y 2 – 4a 2 y + a 2 b 2 ) + (4a 2 y – 3a 2 b 2 ) 16. (6xy 2 – 3x 2 + xy) – (xy – 3x 2 )
3. (7b – 4a + 2c) + (-7a + 4b + 3c) 17. (xy + x 2 y) – (3xy – 5x 2 y)
4. (6x 2 – 2x + 3xy) + (2x – 6x 2 – xy) 18. (xy + ab)(2xy – 2ab)
5. (6x 3 y 2 – 2xy – x 3 y) + (x 3 y + 4xy – 6x 3 y 2 ) 19. (a 2 b 2 – 3)(ab 2 + 2) – a 3 b 4
6. (5x 2 + y 2 – xy) + (x 2 – 2y 2 + 2xy) 20. (3m 5 – ac)(3m 5 + ac)
7. (2y 3 – 3xy) + (x 3 – 3y 3 + 3xy)
8. (7x 3 + 2xy 2 ) + (-4x 3 + x 2 y)
9. (9a – 3b – 2c) – (9a – 3b – c)
10. (4x 2 – 2y 2 + xy) + (2x 2 + y 2 )
11. (4a – 2b + c) – (6b + 4a + c)
12. (4a 2 c 2 + 6m 10 ) – (-3m 10 + 5a 2 c 2 )
13. (4a – 2c + 3b) – (4a + 3b)
14. (9a – 3c + 4b) – (11a – 3c + 4b)
Exercise B - Simplify
1. (2a – 4c + 5b) + (2c – 5b – 2a)
2. (6b – 2a + c) + (a – b – c)
3. (a 2 b 2 – 4ab 2 – 6) + (a 2 b 2 + ab 2 )
4. (5x 2 – 3x + 2) + (3x – 2 + 5x 2 )
5. (3a 2 – 9ab) + (9b 2 – a 2 )
6. (9a – 3b + 5c) + (-20a + 14b)
7. (5a – 3c) + (c – 5a)
8. (9ab – 3b) + (-3c + 9b – 9ab)
9. (a 3 b – a 2 b + a 3 ) + (a 2 b – b 3 – a 3 b) 15. 3c – (2a + 3c)
10. (9b 2 – 3ab + a 2 ) – (6ab – a 2 ) 16. 10x 2 – y 2 – (-y 2 )
11. (3xy + x 2 y) – (5xy – 5x 2 y) 17. (-3ab 2 + a 2 b 2 ) – (6 – a 2 b 2 )
12. 3b – (a – 2b) 18. (a – 3b)(2a – 3b)
13. 6b – (2a + 6b) 19. (x + y)(3x – 3y)
14. (4b – 2c) – (12b – 2c) 20. (x – y)(x 2 + xy + y 2 )
©2010, TESCCC 08/01/10 page 32 of 61