Algebra 2 jeopardy

Exponential Function

100

what is the exponential function with an initial value of 32'000 and a decay of 13% for x year.

a=20(0.16)^x

200

write the exponential function with an initial value of 4,000 and a decay of 50% for x years.

f(x)=4000(0.5)^x

300

Dru bought 5 pennies at the coin shop. Every year the value of these coins doubles. which of the following exponential function best represents the value (v) of the pennies after y years

v=5*2^y

400

what is the exponential function with an initial value of 20 and growth of 6% for x years

A=20(0.16)^x

500

you have inherited land that was purchased for $15000 in 1990. the approximately 2.5% per year. write an exponential function that can be used to find the value of the land.

f(x)=15000(0.25)^x

Quadratic function

100

solve: 3x^2+8x=2

x=-4-+22/3

200

solve: y=x^2+5x-6

x=-6, x=1

300

solve for x: 5x^2-4x=6

x=2+- √34/5

400

solve: 3(2x²+1)=48

{ - √30/2,√30/2 }

500

given the equation x² -8x=-9 what value would you add to each side to use completing the square to solve the equation?

16

polynomials

100

write an equivalent to the expression: (3x-2)^2

9x^2-12x+4

200

Divide: 2x^2-3 by (x-1)

2x^2-3/x-1

300

the measure of Janet's angle is modeled by 2x^2+4x-6. The measure of Marc's angle is modeled by 10x+26 write a polynomial expression represents how much greater the measure of Janet's angle is then Marc's.

2x^2+14x+20

400

the angle value of Garrett's sector can be modeled by x^2+6x+2 the angle value of Dillion's sector can be modeled by 7x+20. what expression combines both polynomials. 

x^2+13x+22

500

A rectangle with an area of 2x^2+6-20 square units. given the length 2x-4, figure out the width.

2x^2+6x+40

law of exponents

100

solve: (27x⁹)^1/2

3x⁴√3x 

200

solve: 8(x⁴)^1/2

8x²

300

simplify:(6a^-3b²)(-2a⁵b^-5)

-12a²/b³

400

write an expression equlvalent to (2x)(3x²)(4x⁴)

24x⁷

500

simplify: x²y⁵/x⁹y⁵

x⁷

linear Equations

100

what linear equation represents a line that passes through the point (3,5) and has a y- intercept of -1

y=2x-1

200

write a linear function includes the data set {(4,4)(6,5)(10,7)}

y=1/2x+2

300

what linear equation represents a line that passes through the points (-1,2) and (2,-3)?

y=-5/3x+1/3

400

write a linear function in point slope form of an equation with a slope of -1/3 and contains point (-3,1).

y-1=-3/4(x+3)

500

write a linear equation describes the line that passes through the points D(3, 1) and E(-1,-4)?

5x-4y=11