1. Find the degree of each monomial. –4t5 22a4b7 –8mn2 10a2b3
Question 1
Find the degree of each monomial.
–4t5
22a4b7
–8mn2
10a2b3 5 11 3 5

2. Question 2 Simplify each sum or difference. (4n3 + 12) + (10n3 + 1)
(5y2 + 3y – 6) – (2y2 – 5y + 3)
14n3 + 13
3y2 + 8y – 9

3. Simplify each sum or difference. t4 + 9t4 (3n2 – 4n + 8) – (–4n2 + 5n)
Question 3
Simplify each sum or difference.
t4 + 9t4
(3n2 – 4n + 8) – (–4n2 + 5n)
10t4
7n2 – 9n + 8

4. Question 4
The perimeter of a triangle is 12b + 5. Two sides have the following lengths: 4b and 3b What is the length of the third side?
5b – 10

5. Simplify each product. 5w(2w2 + 6w) –3p2(5p2 + p – 7) 2w(w – 7)
Question 5
Simplify each product.
5w(2w2 + 6w)
–3p2(5p2 + p – 7)
2w(w – 7)
10w3 + 30w2
-15p4 – 3p3 + 21p2
2w2 - 14w

6. Question 6 4n(3n2 + 6n – 9) 12n3 + 24n2 – 36n (t + 1)(t + 6)
f. (2n – 5)(n – 3)
12n3 + 24n2 – 36n
t2 + 7t + 6
2n2 – 11n + 15

7. Question 7
A square has side length (7x – 2) in. What is the area of the square?
49x2 – 28x + 4

8. Question 8
A rectangle has a length of (2x + 1) and a width of (3x + 5). What is the area of this rectangle?
6x2 + 13x + 5

9. Identify this polynomial. 3x2 + 5x – 9 Quadratic Trinomial
Question 9
Identify this polynomial.
3x2 + 5x – 9
Quadratic Trinomial

10. Question 10 Simplify each product. (4x + 5)(x + 3) 4x2 + 17x + 15

11. Simplify each product. (5x – 3)2 25x2 – 30x + 9
Question 11
Simplify each product.
(5x – 3)2
25x2 – 30x + 9

12. Question 12 Write the missing value in each trinomial.
s2 + 14s + 33 = (s + 3)(s + ?? ) 11
c2 – 9c + 14 = (c – 2)(c – ?? ) 7

13. Question 13 Simplify each product. (j + 9)(j – 9) j2 - 81
(6t2 + 11)(6t2 – 11)
36t

14. Question 14 Factor each expression. 3h2 + 32h + 20 (3h + 2)(h + 10)
b. 81x2 – 1
(9x + 1)(9x – 1)

15. Question 15 Factor each expression. 7y2 + 11y – 6 (7y – 3)(y + 2)
10x2 – 53x – 11
(5x + 1)(2x – 11)
g2 + 17g + 72
(g + 8)(g + 9)

16. Question 16
The area of a rectangular classroom is given by the trinomial a2 – 4a – 21. The length of the rectangle is a + 3. What is the expression for the width of the classroom?
a - 7

17. Question 17
The area of a square mural is 144x2 – 72x What is the length of one side of the mural?
12x – 3

18. Question 18
The area of a rectangular curtain is 5x x The width of the curtain is 5x What is the length of the curtain?
x + 8

19. Question 19 Factor completely: 12n3 – 3n2 + 16n – 4