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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