chapter 6-9

systems of equations

100

when graphing system of equations how many solutions are there with intersecting lines? 

exactly one solution 

200

what is one method for solving systems of equations 

graphing/substitution/elimination 

300

solve

x+y=9

x-y=3

x=6

y=3

(6,3)

400

solve by substitution 

y=-2x+8

4x-2y=8

x=3

y=2

(3,2)

500

solved by elimination 

6a-5b=-8

2a+5b=-16

a=-3

b=-2

(-3,-2)

exponents/radical

100

12n⁵ 

_____   =

36n      

1n4

___

3

200

(4xy)(3x³ y5) 

12x⁴ y⁸

300

the square root of 24 =

2 square root of 6 

400

(8x) 1 

        2

square root of 8 

500

determine the value of an investment of $2500 if it's invested at an interest rate of 5.25% compounded monthly for 4 years.

2500 (1+ .0525)  48

               12

$3,082.78

quadratics/polynomials

100

factour 

p²-81

(p-9)(p+9)

200

factour

8a²-24a

8a(1a-3)

300

find the product 

6v(2v+3)

12v²+8v

400

factour

16y²-642²  

16(y²-4z2^{2 )} 

^{16(y+22)(y-22)}

^{(4y-82)(4y+82)}

500

15x³y-9x²y²+12xy⁴

3xy(5x²-3xy+4y³)

          

graphing/quadratics

100

what is the quadratic equation

-b+- square root of b²-4ac divided by 2a

    

200

b²-4ac is called what 

Descrimenet 

300

solve each quadratic using quadratic formula 

x²+x-6=0

(2,-3)

400

solving quadratic equations using method 

x²-5x+6=0

(x-2)(x-3) 

x-2=0       x-3=0

x=2            x=3

500

solving quadratic equations using method 

8r²-12=20                            

8r²-12=20 

8r²-32

8(r²-4)

8(r-2)(r+2)

r=+-2

mix 6-9

100

write radical in exponential form 

the square root of 11

11^1/2

200

simplify each expression 

n².n⁷

n⁹

300

solve each equation for the given variable 

m-n=t   for m

m=n+t

400

simplify 

(4m²n²)⁰

1

500

simplify 

12n⁵

------

36n

1n⁴

^---

³