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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Chapter 8 14 Glencoe Algebra 1

Skills Practice

Multiplying a Polynomial by a Monomial

Find each product.

1. a(4a + 3) 2. -c(11c

4) 4a

2 + 3a -11c 2 - 4c

3. x(2x - 5) 4. 2y( y - 4)

2x 2 - 5x 2y 2 - 8y

5. -3n(n

2 + 2n) 6. 4h(3h - 5) -3n 3 6n2 12h 2 - 20h

7. 3x(5x

2 - x + 4) 8. 7c(5 - 2c 2 + c 3 15x 3 - 3x 2 + 12x 35c - 14c 3 + 7c 4

9. -4b(1 - 9b - 2b2

10. 6y(-5 - y + 4y

2 -4b + 36b 2 + 8b 3 30
y - 6y 2 + 24y 3

11. 2m

2 (2 m 2 + 3m - 5) 12. -3n 2 2 n 2 + 3n + 4) 4m

4 + 6m

3 - 10m 2 6 n 4 - 9n 3 - 12n 2

Simplify each expression.

13. w(3w + 2) + 5w 14. f (5f - 3) - 2f

3w 2 + 7w 5f 2 - 5f

15. -p(2p - 8) - 5p 16. y

2(-4y + 5) - 6y

2 -2p 2 + 3p -4y 3 - y 2

17. 2x(3x

2 + 4) - 3x 3

18. 4a(5a

2 - 4) + 9a 3x 3 + 8x 20a 3 - 7a

19. 4b(-

5 b - 3) - 2(b2 - 7b - 4) 20. 3m(3m + 6) - 3(m 2 + 4m + 1) -22b 2 + 2b + 8 6m 2 + 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

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