Name:
8.1-8.4 Quiz Review Algebra 1
Directions: Match each polynomial with the correct classification by indicating the letter choice on the line
provided. You will not use all answer choices, and some may be used more than once! (1pt. per blank)
1) 10𝑥 4 − 60
____________
2) 5𝑥 2 + 17𝑥 + 80
3) 75𝑥
4) 15
5) 8𝑥 + 10
6) 8𝑎3 + 9𝑎2 +a - 41
A) Linear Binomial
G) Quadratic Binomial
B) Linear Monomial
H) Quadratic Trinomial
C) Quartic Binomial
I) Cubic Monomial
D) Quartic Trinomial
J) Cubic Binomial
E) Constant Trinomial
K) Cubic Polynomial
F) Constant Monomial
L) Quintic Polynomial
_____________
ALL ANSWERS MUST BE IN STANDARD FORM. Show all work.
For numbers 7 – 12, add or subtract the polynomials. Write your final answer on the blank provided.
7. (𝑤 2 – 4w – 1) + (–5 + 5𝑤 2 – 3w)
7. _________________________
8. (–𝑥 2 + 3x) – (5x + 2𝑥 2 )
8. _________________________
9. (–4𝑝2 – p + 9) + (𝑝2 + 3p – 1)
9. _________________________
10. (2𝑚2 + 6m) + (𝑚2 – 5m + 7)
10. _________________________
11. (4𝑦 2 + 2y – 8) – (7𝑦 2 + 4 – y)
11. _________________________
12. (𝑥 3 – 3x + 1) – (𝑥 3 + 7 – 12x)
12. _________________________
For numbers 13 – 16, multiply the polynomials. Write your final answer on the blank provided.
ALL ANSWERS MUST BE IN STANDARD FORM. Show all work.
13. –3rt(–2𝑡 2 + 3r)
13. _________________________
2
14. – 3 𝑛2 (–9𝑛2 + 3n + 6)
14. _________________________
15. (6a – 3)(7a – 4)
15. _________________________
16. (3a – b)(2a – b)
16. _________________________
17. (3d + 3)(2𝑑2 + 5d – 2)
17. _________________________
18. (3q + 2)(9𝑞 2 – 12q + 4)
18. _________________________
19. (7k + 3)(7k – 3)
19. _________________________
20. (3g + 9h)(3g – 9h)
20. _________________________
21. (𝑛 + 9)2
21. _________________________
22. (4𝑏 − 7𝑣)2
22. _________________________
23. (3𝑚 + 4)2
23. _________________________
24. (7𝑣 − 2)2
24. _________________________
25. –2(3𝑚3 + 5m + 6) + 3m(2𝑚2 + 3m + 1)
25. _________________________
26. 5w(–7w + 3) + 2w(–2𝑤 2 + 19w + 2)
26. _________________________