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Unit 3 Review

Total questions: 16

Worksheet time: 8mins

Name
Class
Date
1.

Simplify

 (a3+a2+4a4)+(2a4+4a2)(a^3+a^2+4a^4)+(2a^4+4a^2)  

a)

 6a4+a3+9a26a^4+a^3+9a^2  

b)

 6a4+a3+5a26a^4+a^3+5a^2  

c)

 5a4+a3+9a25a^4+a^3+9a^2  

d)

 5a4+3a3+9a25a^4+3a^3+9a^2  

2.

Simplify

 (5m2+3m3)+(57m+8m3)(5m-2+3m^3)+(5-7m+8m^3)  

a)

 9m32m+39m^3-2m+3  

b)

 3m32m+33m^3-2m+3  

c)

 4m32m+34m^3-2m+3  

d)

 11m32m+311m^3-2m+3  

3.

Simplify

 (5+2r44r2+5r3)+(7r3+5r44r2)(5+2r^4-4r^2+5r^3)+(7r^3+5r^4-4r^2)  

a)

 7r4+12r38r217r^4+12r^3-8r^2-1  

b)

 7r4+12r38r27r^4+12r^3-8r^2  

c)

 7r4+12r38r2+57r^4+12r^3-8r^2+5  

d)

 7r4+12r38r277r^4+12r^3-8r^2-7  

4.

Simplify

 (3x28x3+8x+1)+(4x3+4+7x2+8x)\left(3x^2-8x^3+8x+1\right)+\left(4x^3+4+7x^2+8x\right)  

a)

 4x3+10x2+16x+5-4x^3+10x^2+16x+5  

b)

 4x3+3x2+11x+5-4x^3+3x^2+11x+5  

c)

 5+3x2+11x5+3x^2+11x  

d)

 4x3+10x2+11x+5-4x^3+10x^2+11x+5  

5.

Simplify

 (2n24n4)(5n2+7n4+8n3)(2n^2-4n^4)-(5n^2+7n^4+8n^3)  

a)

 11n48n3+3n2-11n^4-8n^3+3n^2  

b)

 11n48n33n2-11n^4-8n^3-3n^2  

c)

 11n411n3+7n2-11n^4-11n^3+7n^2  

d)

 11n48n3+7n2-11n^4-8n^3+7n^2  

6.

Simplify

 (8a4+7a26)(4+6a4+7a2)(8a^4+7a^2-6)-(4+6a^4+7a^2)  

a)

 18a4102a218a^4-10-2a^2  

b)

 2a4102a22a^4-10-2a^2  

c)

 10a4102a210a^4-10-2a^2  

d)

 2a4102a^4-10  

7.

Simplify

 (16n4+5n)(8n4+8n35+8n)(1-6n^4+5n)-(8n^4+8n^3-5+8n)  

a)

 22n48n33n+6-22n^4-8n^3-3n+6  

b)

 14n48n33n+6-14n^4-8n^3-3n+6  

c)

 22n414n3+6-22n^4-14n^3+6  

d)

 22n48n3+6-22n^4-8n^3+6  

8.

Simplify

 (2+7n3n+n2)(5n2+7n45n3+4n)\left(2+7n^3-n+n^2)-(5n^2+7n^4-5n^3+4n\right)  

a)

 9n4+12n34n25n+9-9n^4+12n^3-4n^2-5n+9  

b)

 7n4+12n34n25n+2-7n^4+12n^3-4n^2-5n+2  

c)

 9n4+6n34n25n+9-9n^4+6n^3-4n^2-5n+9  

d)

 9n4+12n34n25n+2-9n^4+12n^3-4n^2-5n+2  

9.

Simplify

 7a(6a+2)7a\left(6a+2\right)  

a)

 5a+155a+15  

b)

 42a2+14a42a^2+14a  

c)

 12a+912a+9  

d)

 2a516a42a^5-16a^4  

10.

Simplify

 6(7x+4)6(7x+4)  

a)

 16x2+8x16x^2+8x  

b)

 12x1212x-12  

c)

 12x2+32x12x^2+32x  

d)

 42x+2442x+24  

11.

Simplify

 3(4n2+3n+5)3\left(4n^2+3n+5\right)  

a)

 12n2+9n+1512n^2+9n+15  

b)

 10n220n+3010n^2-20n+30  

c)

 28n2+56n+5628n^2+56n+56  

d)

 24n3+32n28n24n^3+32n^2-8n  

12.

Simplify

 7b3(8b24b6)7b^3(8b^2-4b-6)  

a)

 8b2+8b328b^2+8b-32  

b)

 56b528b442b256b^5-28b^4-42b^2  

c)

 14b2+56b+3514b^2+56b+35  

d)

 21b221b+321b^2-21b+3  

13.

Simplify

 (3n+5)(6n+3)\left(3n+5)(6n+3\right)  

a)

 18n2+1518n^2+15  

b)

 18n2+39n+1518n^2+39n+15  

c)

 18n2+21n1518n^2+21n-15  

d)

 18n221n1518n^2-21n-15  

14.

Simplify

 (6b+4)(6b1)\left(6b+4\right)\left(6b-1\right)  

a)

 36b2436b^2-4  

b)

 36b2+30b+436b^2+30b+4  

c)

 20b2+42b+1620b^2+42b+16  

d)

 36b2+18b436b^2+18b-4  

15.

Simplify

 (7x+3)2\left(7x+3\right)^2  

a)

 16x+9x21-6x+9x^2  

b)

 49x2949x^2-9  

c)

 49x2+42x+949x^2+42x+9  

d)

 49x2+949x^2+9  

16.

Simplify

 (4v+3)(4v3)\left(4v+3\right)\left(4v-3\right)  

a)

 16v2+24v+916v^2+24v+9  

b)

 25v210v+125v^2-10v+1  

c)

 16v224v+916v^2-24v+9  

d)

 16v2916v^2-9