1. MSM07G8_RESBK_Ch14_20-27.pe 2/15/06 10:44 AM Page 21
Name Date Class
LESSON Practice B
14-3 Adding Polynomials
Add.
1. (a 2 ؉ a ؉ 3) ؉ (15a 2 ؉ 2a ؉ 9) 2. (5x ؉ 2x 2) ؉ (3x ؊ 2x 2 )
16a 2 ؉ 3a ؉ 12 8x
3. (mn ؊ 10 ؉ mn 2 ) ؉ (5 ؉ 3mn ؊ 4mn 2 ) 4. (7y 2z ؉ 9 ؉ yz 2 ) ؉ (y 2z ؊ 2yz 2 )
؊3mn 2 ؉ 4mn ؊ 5 8a ؉ 5
5. (s 3 ؉ 3s ؊ 3) ؉ (2s 3 ؉ 9s ؊ 2) ؉ (s ؊ s 3)
2s 3 ؉ 13s ؊ 5
6. (6wv ؊ 4w 2v ؉ 7wv 2) ؉ (5w 2v ؊ 7wv 2) ؉ (wv 2 ؊ 5wv ؉ 6w 2v)
7w 2v ؉ wv 2 ؉ wv
7. (6b 2c 2 ؊ 4b 2c ؉ 3bc) ؉ (9b 2c 2 ؊ 4bc ؉ 12) ؉ (2b 2c ؊ 3bc ؊ 8)
15b 2c 2 ؊ 2b 2c ؊ 4bc ؉ 4
8. (7e 2 ؉ 3e ؉ 2) ؉ (9 ؊ 6e ؉ 4e 2) ؉ (9e ؉ 2 ؊ 6e 2) ؉ (4e 2 ؊ 7e ؉ 8)
9e 2 ؊ e ؉ 21
9. (f 4g ؊ fg 3 ؉ 2fg ؊ 4) ؉ (3fg 3 ؉ 3) ؉ (4f 4g ؊ 5fg) ؉ (3 ؊ 12fg 3 ؉ f 4g)
62
10. Six blocks of height 4h ؉ 4 each and 3 blocks of height 8 ؊ 2h
each are stacked on top of each other to form one big tower.
Find an expression for the overall height of the tower.
18h ؉ 48
Copyright © by Holt, Rinehart and Winston.
All rights reserved. 21 Holt Mathematics

2. MSM07G8_RESBK_Ch14_52-64.pe 2/15/06 11:10 AM Page 56
LESSON Puzzles, Twisters & Teasers LESSON Practice A
14-2 Fix It! 14-3 Adding Polynomials
A magic square has the same sum for every column, row and Add.
diagonal. The sum is called the magic sum. In the magic square
1. (3a ؉ 3) ؉ (5a ؉ 2) 2. (4x ؊ x 2 – 9) ؉ (2 – 2x ؉ 6x 2 )
below, one of the polynomials is incorrect. Find the magic sum.
Then, find the polynomial that does not fit, circle it, and FIX IT!
8a ؉ 5 5x 2 ؉ 2x ؊ 7
2 2
3. (5y ؉ 2y ؉ 3) ؉ (؊5y ؉ 2y) 4. (3k ؉ 7k 2 ؉ k) ؉ (k 3 – 2k 2 – 10)
3
؊ 3y 2 ؉ 7y ؉ 3 4k 3 ؉ 5k 2 ؉ k ؉ 10
4x 2 ؊ 2 9x 2 ؊ 7 2x 2 ؊ 6
5. (2wv ؊ 2w v) ؉ (7wv + 6w v ) ؉ (؊ 3wv ؉ wv 2)
2 2 2
4w 2v ؉ 8wv 2 ؊ wv
6. (b 2c 2 ؊ b 2c ؉ 3bc) ؉ (b 2c 2 ؊ bc ؉ 1) ؉ (2b 2c – bc – 1)
2b 2c 2 ؉ b 2c ؉ bc
2 2 2
3x ؊ 9 5x ؊ 5 7x ؊ 1 7. (e 2 ؉ 3e ؉ 2) ؉ (9 ؊ 6e ؉ e 2) ؉ (9e ؊ 2 ؊ e 2) ؉ (4e 2 – 7e – 8)
5e 2 ؊ e ؉ 1
8. (f 4 ؊ 2f ؉ f 3 ؊ 4) ؉ (3f 3 ؉ 3) ؉ (f 4 ؊ f ) ؉ (3 ؊ f 3 ؉ f 4 ؊ f ) ؉ (4 ؊ f )
3f 4 ؉ 3f 3 ؊ 5f ؉ 6
2 2 2
8x ؊ 4 10x ؊ 2 6x ؊ 8 9. Micah is putting a frame of width w around an 18-inch by 24-inch
poster. Find an expression for the length of framing material
she needs.
4w ؉ 84
10. Each side of an equilateral triangle has length w ؉ 3. Each side
of a square has length 2w ؉ 2. Write an expression for the sum
of the perimeter of the equilateral triangle and the perimeter of
the square.
Magic sum 15x 2 ؊ 15
11w ؉ 17
Incorrect polynomial 10x 2 ؊ 2
Corrected polynomial x2 ؊ 3
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
19 Holt Mathematics Copyright © by Holt, Rinehart and Winston.
All rights reserved.
20 Holt Mathematics
LESSON Practice B LESSON Practice C
14-3 Adding Polynomials 14-3 Adding Polynomials
Add. Add.
1. (a 2 ؉ a ؉ 3) ؉ (15a 2 ؉ 2a ؉ 9) 2. (5x ؉ 2x 2) ؉ (3x ؊ 2x 2 ) 1. (3a 2 ؉ 3a ؉ 3) ؉ (15a 2 ؉ 2a – 9) 2. (3g 2 ؉ 2hg) ؉ (5g 2 ؉ hg ؊ 9h 2g)
16a 2 ؉ 3a ؉ 12 8x 18a 2 ؉ 5a ؊ 6 8g 2 ؊ 9h 2g ؉ 3hg
3. (mn ؊ 10 ؉ mn 2 ) ؉ (5 ؉ 3mn ؊ 4mn 2 ) 4. (7y 2z ؉ 9 ؉ yz 2 ) ؉ (y 2z ؊ 2yz 2 ) 2
3. (5x ؊ 4y ؉ 6y ) ؉ (–5y ؉ 2y ؊ 3x) 2
4. (m 2 ؉ 3m ؊ 2) ؉ (4m 2 ؉ m ؊ 9)
؊3mn 2 ؉ 4mn ؊ 5 8y 2z ؊ yz 2 ؉ 9 y 2 ؉ 2x ؊ 2y 5m 2 ؉ 4m ؊ 11
΂ ΃ ΂ ΃
3 1 1 1 1
5. (s 3 ؉ 3s ؊ 3) ؉ (2s 3 ؉ 9s ؊ 2) ؉ (s ؊ s 3) 5. ᎏᎏ s3 ؉ ᎏᎏ s 2 ؉ ᎏᎏ t ؉ ᎏᎏ s3 ؉ ᎏᎏ t
2 6 3 2 3
2s 3 ؉ 13s ؊ 5 1 2
2s 3 ؉ ᎏᎏ s 2 ؉ ᎏᎏ t
6 3
6. (6wv ؊ 4w 2v ؉ 7wv 2) ؉ (5w 2v ؊ 7wv 2) ؉ (wv 2 ؊ 5wv ؉ 6w 2v) 6. (6wv ؊ 4w 2v ؉ 7wv 2) ؉ (5w 2v ؊ 7wv 2) ؉ (wv 2 ؊ 5wv ؉ 6w 2v) ؊ 7w 2v
7w 2v ؉ wv 2 ؉ wv wv 2 ؉ wv
7. (6b 2c 2 ؊ 4b 2c ؉ 3bc) ؉ (9b 2c 2 ؊ 4bc ؉ 12) ؉ (2b 2c ؊ 3bc ؊ 8) 7. (6b 2c 2 ؊ 11b 2c ؉ 3.25bc) ؉ (9b 2c 2 ؊ 45bc ؉ 12) ؉ (2b 2c ؊ 3.25bc ؊ 8)
2 2 2
15b c ؊ 2b c ؊ 4bc ؉ 4 15b 2c 2 ؊ 9b 2c ؊ 45bc ؉ 4
΂ ΃ ΂ ΃ ΂ ΃ ؉ (4e
1 1 6
8. (7e 2 ؉ 3e ؉ 2) ؉ (9 ؊ 6e ؉ 4e 2) ؉ (9e ؉ 2 ؊ 6e 2) ؉ (4e 2 ؊ 7e ؉ 8) 8. ᎏᎏ e 2 ؉ 3e ؉ 2 ؉ 9 ؊ 6e ؉ ᎏᎏ e 2 ؉ 9e ؊ 2 ؉ ᎏᎏ e 2 2
؊ 7e ؊ 8)
7 4 7
2
9e ؊ e ؉ 21 1
5 ᎏᎏ e 2 ؊ e ؉ 1
4
9. (f 4g ؊ fg 3 ؉ 2fg ؊ 4) ؉ (3fg 3 ؉ 3) ؉ (4f 4g ؊ 5fg) ؉ (3 ؊ 12fg 3 ؉ f 4g)
΂ᎏ2ᎏ f ΃ ΂ ΃
1 4 1 2 5
g ؊ 2fg 3 ؉ ᎏᎏ fg ؊ 4 ؉ (3fg 3 ؉ 3) ؉ ᎏᎏ f 4g ؊ ᎏᎏ fg ؉ (3 ؊ 12fg 3 ؉ f 4g)
6f 4g ؊ 10fg 3 ؊ 3fg ؉ 2 9. 2 4 2
2f 4g ؊ 11fg 3 ؊ 2fg ؉ 2
10. Six blocks of height 4h ؉ 4 each and 3 blocks of height 8 ؊ 2h
each are stacked on top of each other to form one big tower. 10. The area of Kenny’s back yard is 2h 2 ؊ 9h ؉ 8 square yards.
Find an expression for the overall height of the tower. The area of Kenny’s front yard is h 2 ؊ 38 square yards. Write
an expression for the total area of Kenny’s back and front yards.
18h ؉ 48
3h 2 ؊ 9h ؊ 30 square yards
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
21 Holt Mathematics Copyright © by Holt, Rinehart and Winston.
All rights reserved.
22 Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
56 Holt Mathematics