NAME
DATE
8-2
PERIOD
Skills Practice
Multiplying a Polynomial by a Monomial
Find each product.
1. a(4a + 3)
2. -c(11c + 4)
2
-11c2 - 4c
4a + 3a
3. x(2x - 5)
4. 2y( y - 4)
2
2y2 - 8y
2x - 5x
5. -3n(n2 + 2n)
3
6. 4h(3h - 5)
2
-3n - 6n
12h2 - 20h
7. 3x(5x2 - x + 4)
8. 7c(5 - 2c2 + c3)
15x3 - 3x2 + 12x
35c - 14c3 + 7c4
9. -4b(1 - 9b - 2b2)
10. 6y(-5 - y + 4y2)
-4b + 36b2 + 8b3
11. 2m2(2m2 + 3m - 5)
4
3
-30y - 6y2 + 24y3
12. -3n2(-2n2 + 3n + 4)
2
6n4 - 9n3 - 12n2
4m + 6m - 10m
Simplify each expression.
14. f (5f - 3) - 2f
2
5f 2 - 5f
3w + 7w
15. -p(2p - 8) - 5p
16. y2(-4y + 5) - 6y2
2
-4y3 - y2
-2p + 3p
17. 2x(3x2 + 4) - 3x3
18. 4a(5a2 - 4) + 9a
3x3 + 8x
19. 4b(-5b - 3) - 2(b2 - 7b - 4)
20a3 - 7a
20. 3m(3m + 6) - 3(m2 + 4m + 1)
-22b2 + 2b + 8
6m2 + 6m - 3
Solve each equation.
21. 3(a + 2) + 5 = 2a + 4 -7
22. 2(4x + 2) - 8 = 4(x + 3) 4
23. 5( y + 1) + 2 = 4( y + 2) - 6 -5
24. 4(b + 6) = 2(b + 5) + 2 -6
25. 6(m - 2) + 14 = 3(m + 2) - 10 -2
26. 3(c + 5) - 2 = 2(c + 6) + 2 1
Chapter 8
14
Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
13. w(3w + 2) + 5w