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9.3 Wks #1

Total questions: 13

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

1.  Fill in the blank.
 (5a+2)(6a−1)=   …a2+7a−2\left(5a+2\right)\left(6a-1\right)=\ \ \ \ldots a^2+7a-2  

a)

11

b)

30

c)

5

d)

12

2.

2 . Fill in the blank.
 (3c−7)(2c−5)=6c2−29c+…\left(3c-7\right)\left(2c-5\right)=6c^2-29c+\ldots  

a)

14

b)

12

c)

35

d)

2

3.

3.   Fill in the blank.
 (z−4)(2z+1)=2z2−…z−4\left(z-4\right)\left(2z+1\right)=2z^2-\ldots z-4  

a)

1

b)

7

c)

2

d)

4

4.

4.   Fill in the blank.
 (2x+9)(x+2)=2x2+…x+18\left(2x+9\right)\left(x+2\right)=2x^2+\ldots x+18  

a)

11

b)

9

c)

7

d)

13

5.

14.  Simplify the product. Write in standard form.
 (m−6)(m−9)\left(m-6\right)\left(m-9\right)  

a)

 m2−3m+9m^2-3m+9  

b)

 m2+9m−54m^2+9m-54  

c)

 m2−15m+54m^2-15m+54  

d)

 m2−6m+54m^2-6m+54  

6.

15.  Simplify the product. Write in standard form.
 (4b−2)(b+3)\left(4b-2\right)\left(b+3\right)  

a)

 4b2+10b−64b^2+10b-6  

b)

 4b2−12b+64b^2-12b+6  

c)

 4b2−12b+64b^2-12b+6  

d)

 4b2−2b+64b^2-2b+6  

7.

16.   Simplify the product. Write in standard form.
 (8w+2)(w+5)\left(8w+2\right)\left(w+5\right)  

a)

 8w2+6w+28w^2+6w+2  

b)

 8w2+16x+58w^2+16x+5  

c)

 8w2+42w+108w^2+42w+10  

d)

 8w2+15w+28w^2+15w+2  

8.

20.Find an expression for the area of the shaded region.  Simplify.

                                                    

a)

x2−2x+6x^2-2x+6

b)

10x+810x+8

c)

8x−68x-6

d)

2x+62x+6

9.

24.  Simplify each product. Write in standard form.
 (g−3)(2g2+3g+3)\left(g-3\right)\left(2g^2+3g+3\right)  

a)

 2g3+9g2+3g+92g^3+9g^2+3g+9  

b)

 2g3−9g2+12g−72g^3-9g^2+12g-7  

c)

 2g3−3g2+11g+122g^3-3g^2+11g+12  

d)

 2g3−3g2−6g−92g^3-3g^2-6g-9  

10.

25.   Simplify the product. Write in standard form.
 (k+8)(3k2−5k+7)\left(k+8\right)\left(3k^2-5k+7\right)  

a)

 3k3−29k2+24k+93k^3-29k^2+24k+9  

b)

 3k3+19k2−33k+563k^3+19k^2-33k+56  

c)

 3k3+30k2+47k−563k^3+30k^2+47k-56  

d)

 3k3−18k2−2k−43k^3-18k^2-2k-4  

11.

30.  Simplify each product. Write in standard form.
 (p−7)(p+8)\left(p-7\right)\left(p+8\right)  

a)

 p2−15p+9p^2-15p+9  

b)

 p2+1p+56p^2+1p+56  

c)

 p2+1p−56p^2+1p-56  

d)

 p2−2p+8p^2-2p+8  

12.

33.  Simplify the product. Write in standard form.
 (5c−9)(5c+1)\left(5c-9\right)\left(5c+1\right)  

a)

 25c2−40c−925c^2-40c-9  

b)

 25c2+10c−825c^2+10c-8  

c)

 25c2+50c−925c^2+50c-9  

d)

 25c2+50c−1125c^2+50c-11  

13.

36.  Simplify the product. Write in standard form.
 (6h−1)(4h2+h+3)\left(6h-1\right)\left(4h^2+h+3\right)  

a)

 24h3+2h2+17h−324h^3+2h^2+17h-3  

b)

 24h3+10h2+19h+324h^3+10h^2+19h+3  

c)

 24h3−10h2−17h+324h^3-10h^2-17h+3  

d)

 24h3+1h2−10h−224h^3+1h^2-10h-2