Precalc Jeopardy

Trig

100

The hypotenuse of a triangle with side lengths 3 and 4

What is 5

200

Sin of 45 degrees

What is (2^1/2)/2

300

Cos of 60 degrees

What is 1/2

400

Tangent of 90 degrees

What is undefined

500

Cot of 270 degrees

What is 0

Exponents & Logs

100

Write the equation log (base 3) 729 = 6 in exponential form.

What is 3^6=729

200

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?

What is 3 hours

300

Write the exponential equation (1/2)^-3=8 in logarithmic form.

What is log_1/2 8=-3

400

Let log 5 = 0.69897 and log 2 = 0.30103.  where is  log 50 = x

A. 0<x<1

B.1<x<2

C. 2<x<3

D.5<x<10

What is B

500

Solve the compound interest equation for r when

A=$4,000,000

P=$40,000

T=40  

Compounded Continuously 

What is 0.12

Algebra

100

6x+17=0 solve for x

what is -17/6

200

factor x^2-1 

What is (x+1)(x-1)

300

Write an equation of a line perpendicular to y=-1/2x+23 and passes through the point (2,3)

What is y=2x-1

400

Find x+y, if: 5x+8y=67 and 2x-y=31

What is 14

500

13. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?

a. 2x + 5 (x-1) = 9; x = 2
b. p – 3(p-5) = 10; p = 2.5
c. 4 y + 3 y = 28; y = 4
d. 5 w + 6 w – 3w = 64; w = 8
e. t – 2t – 3t = 32; t = 8

What is E

Formulas

100

Slope-Intercept form

what is y=mx+b

200

Point-Slope form

what is (y-y₁)=m(x-x₁)

300

the equation of a circle at the origin

y^2 + x^2 = r^2

400

Compound interest formula for compounding n times

What is A=P(1+r/n)^nt

500

Quadratic Formula

 (-b±(b²-4ac)^1/2)/(2a)

ACT

100

The expression (3x − 4y²)(3x + 4y²) is equivalent to?

What is 9x² − 16y⁴

200

George has 4 sets of socks, and 4 sets of shoes. Each pair has a different color: White, Brown, Black, and Blue. If George selects a pair of socks (same color) and a pair of shoes (same color) at random, what is the theoretical probability that George will choose a white pair of shoes and a pair of socks that are not white?

What is 0.1875

300

If 4/5 + (-3/10) = x + 1 1/2 then what is x equivalent to?

What is -1

400

Example question 4 of 5 For what value of a would the following system of equations have an infinite number of solutions?

2x − y = 8

6x − 3y = 4a?

What is 6

500

If the length of a rectangle is decreased by 30% but the width is increased by 15% how much smaller did it get.?

What is 19.5%