NAME DATE PERIOD 8-2 Skills Practice
NAME
8-2 Skills Practice
DATE
PERIOD
Multiplying a Polynomial by a Monomial
Find each product.
1. a(4a + 3)
4a2 + 3a
3. x(2x - 5)
2x2 - 5x
5. -3n(n2 + 2n)
-3n3 - 6n2
7. 3x(5x2 - x + 4)
15x3 - 3x2 + 12x
9. -4b(1 - 9b - 2b2)
-4b + 36b2 + 8b3
11. 2m2(2m2 + 3m - 5)
4m4 + 6m3 - 10m2
2. -c(11c + 4)
-11c2 - 4c
4. 2y( y - 4)
2y2 - 8y
6. 4h(3h - 5)
12h2 - 20h
8. 7c(5 - 2c2 + c3)
35c - 14c3 + 7c4
10. 6y(-5 - y + 4y2)
-30y - 6y2 + 24y3
12. -3n2(-2n2 + 3n + 4)
6n4 - 9n3 - 12n2
Simplify each expression.
13. w(3w + 2) + 5w
3w2 + 7w
15. -p(2p - 8) - 5p
-2p2 + 3p
17. 2x(3x2 + 4) - 3x3
3x3 + 8x
19. 4b(-5b - 3) - 2(b2 - 7b - 4)
-22b2 + 2b + 8
14. f (5f - 3) - 2f
5f 2 - 5f
16. y2(-4y + 5) - 6y2
-4y3 - y2
18. 4a(5a2 - 4) + 9a
20a3 - 7a
20. 3m(3m + 6) - 3(m2 + 4m + 1)
6m2 + 6m - 3
Solve each equation.
21. 3(a + 2) + 5 = 2a + 4 -7 23. 5( y + 1) + 2 = 4( y + 2) - 6 -5 25. 6(m - 2) + 14 = 3(m + 2) - 10 -2
22. 2(4x + 2) - 8 = 4(x + 3) 4 24. 4(b + 6) = 2(b + 5) + 2 -6 26. 3(c + 5) - 2 = 2(c + 6) + 2 1
Copyright ? Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Chapter 8
14
Glencoe Algebra 1
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