Chapter 4 Algebra Review

polynomials

100

(4x² )(3x⁴)

12x⁶

200

10y⁹ / 2y³

5y⁶

300

(S⁷)² 

S¹⁴

400

(3b³)⁰

1

500

(x⁵+3y³)(2x+4y²)

2x⁶+12y⁵

solve for ?

100

4x-7y=21

SOLVE FOR Y

y=4/7 x - 3

200

−5x−14=−3(2x−8)

SOLVE FOR X 

x=38

300

3x+6y=18

SOLVE FOR X

X=-2y+6

400

a=2b+2c

For c

c=a/2 - b

500

TG=nBP

for n 

n=TG/BP

FOIL or Rectangle

100

4x²(2x⁴-3x³)

8x⁶-12x⁵

200

5x²(2x³+4x²-6)

10x⁵+20x⁴-30x²

300

(x-7)(2x+4)

2x²-10x-28

400

(2x+6)²

4x²+24x+36

500

(-2x²+1)(x²+7x-4)

-2x⁴-14x³+9x²+7x-4

area and graph models

100

AREA MODEL

What is the area of the large rectangle?

3x²+22x+24

200

AREA MODEL

What is the area of the smaller rectangle?

x²+5x

300

AREA MODEL

what is the area of the shaded region?

2x²+17x+24

400

GRAPH MODEL

between which two X values is the graph increasing?

answer should be written in this format: __<x<__

-2<x<3

500

GRAPH MODEL

between which two X values is the graph decreasing?

answer should be written in this format: __<x<__

-6<x<-2

Mixed practice

100

y=-5x+2 

describe the transformations.

-:

5:

+2:

-: vertical reflection

5: times steeper

+2: Vertical shift up 

200

y=1/2x -4

Describe the transformation. 

1/2:

-4:

1/2: times flatter

-4: Vertical shift down 

300

y=2x⁴+3x⁶-2

Even or Odd function?

Even 

400

PHOTO 

is the function even or odd?

odd

500

14x⁴+49x³+7

find the gcf and write the factored form

gcf:7

factored form: 7(2x⁴+7x³+1)