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7.1 +/- Polynomials

100

Find the sum:  

(2n²-5n-6)+(-n²-3n+11)

What is:

 n²-8n+5

200

Find the difference:

(y²-4y+9)-(3y²-6y-9)

What is:

 -2y²+2y+18

300

Describe and correct the error:

(x³-4x²+3)+(-3x³+8x-2)=-2x³+4x²+1

What is :

Error: Cannot add unlike terms

Correct:  -2x³-4x²+8x+1

400

Find the Sum:

(4a²-a³-3)+(2a³-5a²+8)

What is:

a³-a²+5

500

Find the difference:

(-r-10)-(-4r³+r²+7r)

What is:

4r³-r²-8r-10

7.2 Multiply Polynomials

100

Multiply:

(w+9)(w+6)

What is:

w²+15w+54

200

Multiply:

(v-3)(v²+8v)

What is: 

v³+5v²-24v

300

Multiply:

(4-b)(5b²+5b-4)

What is:

-5b³+15b²+24b-16

400

Describe:

the FOIL process

What is:

First / Outside / Inside / Last

500

A football field has a length of (10x+10)ft and a width of (4x+20)ft.  What is the area when the width is 160 ft?

What is:

57,600 ft²

7.5 Factoring: x^2 + bx + c

100

Factor:

z²+10z+21

What is:

(z+7)(z+3)

200

Factor:

j²-13j+42

What is:

(j-6)(j-7)

300

Factor:

h²+6h-27

What is:

(h+9)(h-3)

400

Factor and Solve:

m²+10=15m-34

What is:

(m-11)(m-4),  m=4,11

500

Find the dimensions of a triangle whose area is 35ft², base (g-8) ft and height (g-11) ft

What is:

base 10ft, height 7 ft

7.6 Factoring: ax^2 + bx + c

100

Factor:

6y²-24y+18

What is:

6(y-1)(y-3)

200

Factor:  

3n²+5n-2

What is:

(n+2)(3n-1)

300

Factor:

-15w²-w+28

What is:

-(3w-4)(5w+7)

400

Factor and Solve:

-12n²-11n=-15

What is:

-(4n-3)(3n+5), n=-5/3,3/4

500

Given y=2x²-3x-35, where would the graph of the parabola cross the x axis?

Where is:

x= -7/2 and 5

7.7 Factoring Special Products

100

Factor:

16x²-169y²

What is:

(4x+13y)(4x-13y)

200

Factor:

49a²-14a+1

What is:

(7a-1)²

300

Factor and Solve:

n²+9=6n

What is:

(n-3)², n=3

400

Factor:

50y²+120y+72

What is:

2(5y+6)²

500

Factor and Solve:

-4/3x+4/9=-x²

What is:

(3x-2)², x=2/3

7.8 Factor by Grouping/Completely

100

Factor:

2a²+8ab-3a-12b

What is:

(2a-3)(a+4b)

200

Factor:

-15d³+21d-6d

What is:

-3d(d-1)(5d-2)

300

What is the problem in:

x³-6x²-9x+54=(x-6)(x²-9)

What is:

(x²-9) can still be factored to (x-3)(x+3)

400

Factor and Solve:

4y³-7y²+28=16

What is:

(y+2)(y-2)(4y-7), y=2,-2,7/4

500

Factor:

6m³-12mn+m²n-2n²

What is:

(m²-2n)(6m+n)

9.5 QuadraticFormula

100

Factor:

x²-12x+36=0

What is:

x=6

200

Solve:  

6x²-13x+36=0

What is:

no solution

300

Solve and round to the tenth:

8x²+8=6-9x

What is:

x=-0.3,-0.8

400

Find the number of x intercepts:

y=4x²+3x-6

What is:

2 intercepts

500

Give the value of 'c' which would have a:  two solutions b:  one solution, and c: no solutions

x²-8x+c=0

There are many possible solutions.  For a:  the determinate must be >0, for b: =0, and for c: <0.