Ch. 8 quiz review

Adding and Subtracting

100

-6ab +3ab

-3ab

200

(3x^2+5) + (16x^2 +7)

19x^2+12

300

11n-4-(5n+2)

6n-6

400

Error analysis ** Describe and correct the error in simplifying the difference shown.  

3x^2 +8x-2-(2x^2-7x+6)=x^2+x-8

They did not distribute the negative to the -7x;  the answer should be 

x^2+15x-8

500

The fence around a quadrilateral shaped pasture is 

3a^2+15a+8

long. Three sides of the fence have the following lengths: 3a, 10a-2,

a^2-7

. What is the length of the fourth side of the fence?

2a^2+2a+17

Multiplying

100

Simplify 2x(x+8)

2x^2+16x

200

Simplify 

-3m^2(m+4)

-3m^3-12m^2

300

4x^3(3x^2-4x+10)

12x^5-16x^4+40x^3

400

Simplify 5y(y+2)-y(y-3)

4y^2+13y

500

(2x+3)(x^3-4x^2+x)

2x^4-5x^3-10x^2+3x

Naming Polynomials

100

2x^3

Cubic monomial

200

4x-2

linear binomial

300

5x^2-3x+4

quadratic trinomial

400

3x^2+4x^3-x^4

quartic polynomial

500

x^5-2x^2+4x-2x^5

quintic trinomial

Multiplying Binomials

100

(y-4)(y+7)

y^2+3y-28

200

(3x+1)(5x-3)

15x^2-4x-3

300

(x+3)(x^2-2x+4)

x^3+x^2-2x+12

400

(5s+2)^2

25s^2+20s+4

500

A brown square tarp has a green square patch in the corner.  The side length of the tarp is (x+8) and the side length of the patch is x.  What is the area of the brown part of the tarp?

16x+64

Factoring GCF

100

3x-9

3(x-3)

200

4t^3+24t

4t(

4t(t^2+6)

300

Find the GCF of 

10x^4-15x^3+45x^2

5x^2(2x^2-3x+9)

400

Factor GCF 

8s^8t^4+20s^4t^3

4s^4t^3(2s^4t+5)

500

-6x^6y^4+27x^5y^5-36x^3y^6

-3x^3y^4(2x^3+9x^2y-12y^2)