1. 2/24 Honors Algebra Warm-up
Refer to the figure. Write a polynomial to represent the area of the shaded region.
A. x2ab B. C.
D. x2 – ab
5Min 4-3

2. 7-3 Polynomials: pgs. 379-380 #12-21, 22-32even, 48-50, 52, 53, 57
12. Yes; monomial
13. No
14. Yes; binomial
15. Yes; trinomial
16. Yes; trinomial
17. No
18. 1/2 bh
19. ab - 4x2
20. 1/2 xy - π r2
21. (π - 1)r2
22. 3
24. 2
26. 4
28. 2
30. 3
32. 7
48. -2x4 - 9x2y + 8x + 7y2
49. 4x3y - x2y3 + 3xy4 + y4
q d n
52. πr2h + 2/3 πr3
in3
57. True; otherwise there would be no variables and the numbers could be combined.

3. = (7y2 + 5y2) + [2y + (–4y)] + [(– 3) + 2] Think group terms.
Add Polynomials
Find (7y2 + 2y – 3) + (2 – 4y + 5y2).
Method 1 Horizontal
= (7y2 + 5y2) + [2y + (–4y)] + [(– 3) + 2] Think group terms.
= 12y2 – 2y – 1 Add like terms.
Lesson 4 Ex1

4. Notice that terms are in descending order with like terms aligned.
Add Polynomials
Method 2 Vertical
7y2 + 2y – 3
(+) 5y2 – 4y + 2
Notice that terms are in descending order with like terms aligned.
12y2 – 2y – 1
Answer: 12y2 – 2y – 1
Lesson 4 Ex1

5. Find (3x2 + 2x – 1) + (–5x2 + 3x + 4). A. –2x2 + 5x + 3
B. 8x2 + 6x – 4
C. 2x2 + 5x + 4
D. –15x2 + 6x – 4 A B C D
Lesson 4 CYP1

6. Think= [8y4 + (–9y4)] + [6y2 + (–2y2)] + (–5y + 7y) = –y4 + 4y2 + 2y
Subtract Polynomials
Find (6y2 + 8y4 – 5y) – (9y4 – 7y + 2y2).
Method 1 Horizontal
= 6y2 + 8y4 – 5y+ –9y4 + 7y – 2y2
Think= [8y4 + (–9y4)] + [6y2 + (–2y2)] + (–5y + 7y)
= –y4 + 4y2 + 2y
Lesson 4 Ex2

7. Subtract Polynomials Method 2 Vertical
Align like terms in columns and subtract by adding the additive inverse.
8y4 + 6y2 – 5y
(–) 9y4 + 2y2 – 7y
8y4 + 6y2 – 5y
(+) - 9y4 – 2y2 + 7y
- y4 + 4y2 + 2y
Add the opposite.
Answer: –y4 + 4y2 + 2y
Lesson 4 Ex2

8. Find (3x3 + 2x2 – x4) – (x2 + 5x3– 2x4). A. 2x2 + 7x3 – 3x4
B. x4 – 2x3 + x2
C. x2 + 8x3 – 3x4
D. 3x4 + 2x3 + x2 A B C D
Lesson 4 CYP2

9. Find an equation that models the sales of video games V(n).
A. VIDEO GAMES The total amount of toy sales T (in billions of dollars) consists of two groups: sales of video games V(n) and sales of retro toys R(n). In recent years, the sales of retro toys and total sales could be modeled by the following equations, where n is the number of years since 1996.
R(n) = 0.5n n2 + 3n + 19
T(n) = 0.45n n n
Find an equation that models the sales of video games V(n).
Answer: V(n) = –0.05n n n + 3.6
Lesson 4 Ex3

10. B. What did this equation predict for the amount of video game sales is the year 1998?
Answer: If this trend continues, the number of video game sales in 1998 would have been
= –0.05(2) (2) (2) or
= –
= 5.8 billion dollars.
Lesson 4 Ex3