College Algebra Jeopardy

Logarithmic and Exponential Equations

100

Solve the following logarithmic equation.  

log₄x=2

16

200

log₄(5x)=2

16/5

300

Solve the following logarithmic equation.  

1/2log₇x=3log₇5

15625

400

Solve the following exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.

8^x=9

ln9/3 ln 2

1.057

500

Solve the following logarithmic equation. Verify your results using a graphing utility.

log_a(x−3)−log_a(x+14)=log_a(x−8)−log_a(x+5)

97/4

Radical Equations

100

Evaluate

a) (-6)²

b) -6²

a) 36

b) -36

200

16^1/2

4

300

3125^4/5

625

400

(3x+7)^1/2=4

3

500

x^3/2-48x^1/2=0

0,48

Linear Functions & Equations

100

Find the slope of the line joining the points 

(0,3) and (3,−1).

-4/3

200

Solve the following equation.

40x-1200=-25x+3350

70

300

The cost C, in dollars, of renting a moving truck for a day is given by the function C(x)=0.25x+40, where x is the number of miles driven.

(a) What is the cost if a person drives x=200 miles?

(b) If the cost of renting the moving truck is $150, how many miles did the person drive?

a.) The cost is $90.

b.) The person drove 440 miles.

400

A builder of tract homes reduced the price of a model by 10%. If the new price is $270,000, what was its original price? 

How much can be saved by purchasing the model?

The original price of the model was 

$30,000 can be saved by purchasing the model.

500

Alexa, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $529 for 44 hours worked.  

What is her regular hourly rate?

Alexa's regular hourly rate is 

$11.5 per hour.

Quadratic Equations

100

Factor the polynomial. 

7x²−9x−10

(7x+5)(x-2)

200

Solve the following equation by factoring. 

z²+2z−15=0

{-5,3}

300

Solve the equation by factoring.

5a²−20=0

{-2,2}

400

Find the real solutions, if any, for the following equation. 

8x²−14x−15=0

{(5/2),(-3/4)}

500

A rectangular parking lot has a length that is 9 yards greater than the width. The area of the parking lot is 360 square yards. Find the length and the width.

The parking lot has a width of 15 yards.

The parking lot has a length of 24 yards.

Solve Equations by Factoring

100

Factor out the greatest common factor from the following polynomial.

5(x+7)+8a(x+7)

(x+7)(5+8a)

200

Factor the following polynomial. 

4x²+3xy+16x+12y

(4x+3y)(x+4)

300

Find the real solutions by factoring.

7x³=4x²

{0,4/7}

400

Find the real solutions of the following equation by factoring.

x³−8x²−4x+32=0

{8,-2,2}

500

Find the real solutions by factoring.

3x³+16=x²+48x

{1/3,-4,4}