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1.2 & 2.1 Quiz v1

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Simplify. Leave all answers with positive exponents.

 (3x3)4\left(3x^3\right)^4  

a)

 3x73x^7  

b)

 3x123x^{12}  

c)

 12x1212x^{12}  

d)

 81x781x^7  

e)

 81x1281x^{12}  

2.

Simplify. Leave all answers with positive exponents.

 (5x2y4)(3x3y)\left(5x^2y^4\right)\left(3x^3y\right)  

a)

 15x6y415x^6y^4  

b)

 15x5y515x^5y^5  

c)

 8x6y48x^6y^4  

d)

 8x5y58x^5y^5  

e)

 15x5y15x^5y  

3.

Simplify. Leave all answers with positive exponents.

 2a66a6b\frac{2a^6}{6a^6b}  

a)

 14b\frac{1}{4b}  

b)

 3b3b  

c)

 1a3b\frac{1a}{3b}  

d)

 b3\frac{b}{3}  

e)

 13b\frac{1}{3b}  

4.

Simplify. Leave all answers with positive exponents.

 (5y−3)−1\left(5y^{-3}\right)^{-1}  

a)

 y35\frac{y^3}{5}  

b)

 y3−5\frac{y^3}{-5}  

c)

 5y35y^3  

d)

 15y3\frac{1}{5y^3}  

e)

 −15y3-\frac{1}{5y^3}  

5.

Simplify. Leave all answers with positive exponents. 4ab−22a−3\frac{4ab^{-2}}{2a^{-3}}  

a)

 2a3b2\frac{2}{a^3b^2}  

b)

 2a4b22a^4b^2  

c)

 2a4b2\frac{2}{a^4b^2}  

d)

 2a4b2\frac{2a^4}{b^2}  

e)

 2aa3b2\frac{2a}{a^3b^2}  

6.

Classify the polynomial by its number of degrees.  2x3−4x2+13x−72x^3-4x^2+13x-7  


a)

degree 0

b)

degree 3

c)

degree 4

d)

degree 5

e)

degree 6

7.

Classify the polynomial by its number of degrees. Name it also by its number of terms. Select 2 answers. x4−16x2x^4-16x^2  


a)

degree 2

b)

degree 4

c)

monomial

d)

binomial

e)

trinomial

8.

Simplify. (4x+5)+(−x−6)\left(4x+5\right)+\left(-x-6\right)  


a)

 5x+115x+11  

b)

 3x−13x-1  

c)

 −4x2−30-4x^2-30  

d)

 3x2−13x^2-1  

e)

 33  

9.

Simplify.  (8−3x2)+(4x2+3x−5)\left(8-3x^2\right)+\left(4x^2+3x-5\right)  

a)

 x2+3x+3x^2+3x+3  

b)

 −7x2−3x+13-7x^2-3x+13  

c)

 x4+3x+3x^4+3x+3  

d)

 −12x2+3x+3-12x^2+3x+3  

e)

 −12x4−9x3+47x2+12x−40-12x^4-9x^3+47x^2+12x-40  

10.

Simplify. (x2+5x−6)−(x2−3x−2)\left(x^2+5x-6\right)-\left(x^2-3x-2\right)  


a)

 2x2+2x−82x^2+2x-8  

b)

 15x2−1215x^2-12  

c)

 2x−82x-8  

d)

 −x4+15x2−12-x^4+15x^2-12  

e)

 8x−48x-4