Algebra Jeopardy

Functions

100

Is f(x) = 2x + 1 a function?

Yes

200

What is the domain of f(x)=1/(x-2)

All real numbers except x=2

300

Find f(3) for f(x)=x²-4x+7

4

400

Is f(x) = √(x-1) increasing or decreasing?

Increasing

500

Is f(x)=|x-2|continous?

Yes

Factoring

100

Factor: x²-9

(x-3)(x+3)

200

Factor: x²-7x+10

(x-2)(x-5)

300

Factor: x³ -2x²-15x

x(x+3)(x-5)

400

Factor:4x²-25

(2x-5)(2x+5)

500

Factor: 2x²+7x+3

(2x+1)(x+3)

Solving Quadratics

100

Solve: x²-16=0

x=土4

200

Solve(Quadratic Formula):

x²-4x-1=0

x=(2土√5)

300

Discriminant of x²+4x+5

D=-4

400

Solve by completing the square: x²+6x=7

x=1,-7

500

Area=x²+5x+6. Find dimensions.

(x+2) by (x+3)

Exponents & Exponential Functions

100

2³ times 2²

32

200

(x⁴)²

x⁸

300

y=3(2)^x

Growth or Decay?

Growth

400

8^(⅔)

4

500

3^(x+1)=81

x=3

Logs

100

log₁₀(1000)=?

3

200

log₂(x)=3

8

300

log₃(27)=?

3

400

log₅(x)=2

25

500

log(x)+log(x-3)=1

5