Math Final Review Chapters 7-9

Monomials and Polynomials

100

Find the degree of the Polynomial 

3x⁴y+7x²y+2x⁵y²

7

200

Simplify  

(2x³y⁴)³*(3x³y²z⁵)²

72x¹⁵y¹⁶z¹⁰

300

Subtract  

(7x²+3x-8)-2x(6x²-5x+3)

-12x³+17x²+3x-8

400

Multiply 

(3x²+8)(x+3)

3x³+9x²+8x+24

500

Simplify

(4x²+3x-4)(x²-4x+2)

4x⁴-13x³-8x²+26x-8

Solving Equations

100

Solve 

x²+6x+9=0

-3

200

Solve for x

2x²+6x=15

x=-3

x=5/2

300

Solve 

3x(x-7) =3x²-12x-18

2

400

Solve for x

-9x²-12x=-6x+15

x=-1

x=5/3

500

Solve for x

4x²-6x-7=8x+2

x=4.1

x=0.6

Factoring/GCF

100

Find the GCF of both Monomials 

24x²y³z⁴

18x⁸​​​​y⁶

6x²y³

200

Factor 

(8x²-32)

8(x-2)(x+2)

300

Factor 

xp-4x+2p-8

(x+2)(p-4)

400

Factor 

 16x²+36x+18

2(2x+3)(4x+3)

500

Factor 

-9x³+12x²—225x+300

3(x-5)(x+5)(3x-4)

Tables Graphs Sequences

100

Determine if the table is Linear Quadratic or Exponential 

x  3  7  11 15 19

—————————
y  5  9  13 17 21

Linear 

200

Describe the transformations of y=-3^x+6 

Stretched, reflected over the x-axis, and up 6 units 

300

Find the 10th term of the sequence

3   15   75   375

5859375

400

Write an equation for the table below

x   3     4     5     6

————————————

y    27   48   75   108

y=3x²

500

Find the vertex of 2x²+4x-8

-10