Math Final Prep

Laws of Exponents

100

-4x²y⁸*2x⁵y⁸

-8x⁷y¹⁶

200

(3n⁴)²

9n⁸

300

(5x⁶y⁰)²

25x¹²

400

10x⁸y⁴/-6x⁴y⁵

-5x⁴/3y

500

-10p²q⁸r⁵*4p⁰r³

-40p²q⁹r⁸

Polynomials

100

What is the name of this polynomial?

p²

Monomial 

200

solve:2a+5b

2a+5b

300

3y⁴+2y³+7y²-9y+3/5

3y⁸+3/5

400

(9x³+5x²+11x)+(-2x³+9x-8x²)

7x³-3x²+20x

500

3x²(4x³-2x²+3x-5)

12x⁵-6x⁴+9x³-15x²

System of equations

100

Solve the system of equation using elimination: 

5x-6y=-32

3x+6y=48

(2,7)

200

solve for y 

x=8    3x+4y=16

y=-2

300

find x and y 

x+y=3    2x+3y=21

x=-12  

y=15

400

find x and y 

4x-y=10     2x=12-3y

x=3

y=2

500

find x and y 

x-2y=-7    x-y=-4

x=-1

y=3

Quadratics

100

y=-1/3(x+6)²-1

-1/3x²-4x-13

200

y=6(x-4)²-1

6x²-48+95

300

What is the quadratic formula?

x=-b+-√b² -4ac

_____________

          2a 

400

What is the Axis of Symmetry when the two x's are -2 and 0?

x=-1

500

Solutions of quadratic functions can also be called ____,____, and ____

roots, zeros, and x-int

Mixed

100

what is (x+7)(x+5) in standard form?

x²+12x+35

200

what is the value of y when x=3 

y=x²-2x+4

y=7

300

solve (2x+3)(x-5)=0 

x=5 x=-3/2

400

how many terms does a quadratic binomial have?

2 terms

500

what do you call a term with no variables 

a constant