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Adv. Algebra 1 TEST Review

Total questions: 11

Worksheet time: 25mins

Name
Class
Date
1.

Simplify

 (10x3)(2x4)\left(10x^3\right)\left(2x^4\right)  

a)

 12x712x^7  

b)

 20x720x^7  

c)

 12x1212x^{12}  

d)

 20x1220x^{12}  

2.

Simplify
 (6 + 3x4+8x3+9x2)+(12x3+8 +10x2+4x4)\left(6\ +\ 3x^4+8x^3+9x^2\right)+\left(12x^3+8\ +10x^2+4x^4\right)  

a)

 72x3+24x4+80x5+36x672x^3+24x^4+80x^5+36x^6  

b)

 18x3+11x4+18x5+13x618x^3+11x^4+18x^5+13x^6  

c)

 7x4+20x3+19x2+207x^4+20x^3+19x^2+20  

d)

 x4+4x3+5x2+2x^4+4x^3+5x^2+2  

3.

Simplify

 (x2+3x −2)−(3x2−x+3)\left(x^2+3x\ -2\right)-\left(3x^2-x+3\right)  

a)

 −2x2+4x+1-2x^2+4x+1  

b)

 4x2+4x+54x^2+4x+5  

c)

 2x2+2x+12x^2+2x+1  

d)

 −2x2+4x−5-2x^2+4x-5  

4.

Simplify
 (2a2b3)3\left(2a^2b^3\right)^3  

a)

 2a6b92a^6b^9  

b)

 8a5b68a^5b^6  

c)

 8a6b98a^6b^9  

d)

 2a5b62a^5b^6  

5.

Which of the following is equivalent to  105102\frac{10^5}{10^2}  

a)

 131^3  

b)

 10710^7  

c)

 171^7  

d)

 10310^3  

6.

Which of the following is NOT a monomial?

a)

x2y3z3x^2y^3z^3

b)

x +1x\ +1

c)

2x2x

d)

15x32y15x^{32}y

7.

Simplify

 (6x+2)2\left(6x+2\right)^2  

a)

 36x2+436x^2+4  

b)

 36x2+24x+436x^2+24x+4  

c)

 6x2+46x^2+4  

d)

 18x2+12x+218x^2+12x+2  

8.

Simplify

 (x+1)(x2+4x+3)\left(x+1\right)\left(x^2+4x+3\right)  

a)

 x3+5x2+7x+3x^3+5x^2+7x+3  

b)

 2x2+5x+42x^2+5x+4  

c)

 x4+4x2+3x^4+4x^2+3  

d)

 x4+5x3+7x2+8x+2x^4+5x^3+7x^2+8x+2  

9.

Simplify.

 2x+2y\frac{2}{x}+\frac{2}{y}  

a)

 42xy\frac{4}{2xy}  

b)

 4x+y\frac{4}{x+y}  

c)

 2y+2x2xy\frac{2y+2x}{2xy}  

d)

 2y+2xx+y\frac{2y+2x}{x+y}  

10.

Simplify.

 20x3y2+12xy4−2x2y62xy2\frac{20x^3y^2+12xy^4-2x^2y^6}{2xy^2}  

a)

 10x2+6y2−xy410x^2+6y^2-xy^4  

b)

 10x4y+12y−2xy10x^4y+12y-2xy  

c)

 18x3y+10y18x^3y+10y  

d)

 10x2y+6y−x2y10x^2y+6y-x^2y  

11.

What is the degree of this polynomial? 4x2+6x30−x54x^2+6x^{30}-x^5  

a)

30

b)

2

c)

5

d)

4