DATE
8-2
PERIOD
NAME
DATE
8-2
Skills Practice
Multiplying a Polynomial by a Monomial
Multiplying a Polynomial by a Monomial
Find each product.
Find each product.
1. a(4a + 3)
1. 2h(-7h2 - 4h)
2. -c(11c + 4)
4a2 + 3a
2x2 - 5x
12h2 - 20h
7. 3x(5x - x + 4)
8. 7c(5 - 2c + c )
4
6n4 - 2n3 - 4n2
4
Simplify each expression.
35c - 14c3 + 7c4
7. -2ℓ(3ℓ - 4) + 7ℓ
10. 6y(-5 - y + 4y2)
-4b + 36b2 + 8b3
3
1 2
7
-2m 3 - −
m +−
m
3
8. 5w(-7w + 3) + 2w(-2w2 + 19w + 2)
-6ℓ2 + 15ℓ
-30y - 6y2 + 24y3
-4w3 + 3w2 + 19w
9. 6t(2t - 3) - 5(2t + 9t - 3)
10. -2(3m3 + 5m + 6) + 3m(2m2 + 3m + 1)
2
11. 2m2(2m2 + 3m - 5)
12. -3n2(-2n2 + 3n + 4)
4m4 + 6m3 - 10m2
2t2 - 63t + 15
6n4 - 9n3 - 12n2
9m2 - 7m - 12
11. -3g(7g - 2) + 3( g2 + 2g + 1) - 3g(-5g + 3) -3g2 + 3g + 3
14. f (5f - 3) - 2f
3w2 + 7w
5f 2 - 5f
15. -p(2p - 8) - 5p
16. y2(-4y + 5) - 6y2
-2p2 + 3p
-4y3 - y2
17. 2x(3x2 + 4) - 3x3
18. 4a(5a2 - 4) + 9a
3x3 + 8x
20a3 - 7a
19. 4b(-5b - 3) - 2(b2 - 7b - 4)
20. 3m(3m + 6) - 3(m2 + 4m + 1)
-22b2 + 2b + 8
6m2 + 6m - 3
Solve each equation.
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.
Glencoe Algebra 1
21. 3(a + 2) + 5 = 2a + 4 -7
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
13. w(3w + 2) + 5w
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
A6
Solve each equation.
Simplify each expression.
12. 5(2t - 1) + 3 = 3(3t + 2) 8
13. 3(3u + 2) + 5 = 2(2u - 2) -3
1
2
14. 4(8n + 3) - 5 = 2(6n + 8) + 1 −
3
2
16. t(t + 4) - 1 = t(t + 2) + 2 −
1
4
15. 8(3b + 1) = 4(b + 3) - 9 - −
17. u(u - 5) + 8u = u(u + 2) - 4 -4
18. NUMBER THEORY Let x be an integer. What is the product of twice the integer added
to three times the next consecutive integer? 5x + 3
19. INVESTMENTS Kent invested $5000 in a retirement plan. He allocated x dollars of the
money to a bond account that earns 4% interest per year and the rest to a traditional
account that earns 5% interest per year.
a. Write an expression that represents the amount of money invested in the traditional
account. 5000 - x
b. Write a polynomial model in simplest form for the total amount of money T Kent has
invested after one year. (Hint: Each account has A + IA dollars, where A is the
original amount in the account and I is its interest rate.) T = 5250 - 0.01x
c. If Kent put $500 in the bond account, how much money does he have in his
retirement plan after one year? $5245
Chapter 8
15
Glencoe Algebra 1
Answers (Lesson 8-2)
9. -4b(1 - 9b - 2b2)
2 2
6. - −
n (-9n 2 + 3n + 6)
4
-3n3 - 6n2
15x3 - 3x2 + 12x
6rt3 - 9r2t
1
5. - −
m(8m 2 + m - 7)
6. 4h(3h - 5)
2
4. -3rt(-2t2 + 3r)
15j2k2 + 10jk2
2y2 - 8y
2
18p3q + 24pq2
3. 5jk(3jk + 2k)
4. 2y( y - 4)
5. -3n(n2 + 2n)
2. 6pq(3p2 + 4q)
-14h3 - 8h2
-11c2 - 4c
3. x(2x - 5)
PERIOD
Practice
Lesson 8-2
Chapter 8
NAME