Unit 2 Review Jeopardy

Factoring a>1

100

3p²-2p-5

(3p-5)(p+1)

200

2n²+3n-9

(2n-3)(n+3)

300

3p²-8p+4

(3n-2)(n-2)

400

2v²+11v+5

(2v+1)(v+5)

500

6n²+5n-6

(2n+3)(3n-2)

Factoring special cases

100

k²-121

(k-11)(k+11)

200

x²+6x+9

(n+3)²

300

p²-144

(p-12)(p+12)

400

x²-14x+49

(x-7)²

500

25m²-9

(5m-3)(5m+3)

Factoring by Grouping

100

2p³+5p²+6p+15

(p²+3)(2p+5)

200

12n³+4n²+3n+1

(4n²+1)(3n+1)

300

5n³-10n²+3n-6

(5n²+3)(n-2)

400

m³-m²+2m-2

(m²+2)(m-1)

500

35xy-5x-56y+8

(5x-8)(7y-1)

Exponential Graphing

100

What is the growth factor of the equation y=4(1.45)^x

.45 or 45%

200

What is the starting amount of the equation y=24.5(.96)^x?

24.5

300

Graph the exponential equation y=2(3)²

Answer on desmos.

400

Graph the exponential function: y=1.5(.75)^x

Answer on Desmos

500

Graph the exponential function y=-2(.6)^x

Answer on Desmos

Exponential word problems

100

The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. Write an exponential equation that represents this situation.

y=6.08(1.026)^x

200

The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. What would the world population be in 2010?

6.89 billion

300

A computer valued at $6500 depreciates at the rate of 14.3% per year. a. Write a function that models the value of the computer. Write an exponential equation that models the value of the computer.

y=6500(1.143)^x

400

A computer valued at $6500 depreciates at the rate of 14.3% per year. a. Write a function that models the value of the computer. Find the value of the computer after 3 years

$4091.25

500

A new truck that sells for $29,000 depreciates 12% each year. Write a function that models the value of the truck. Find the value of the truck after 7 yr

$11,851.59