Math Addicts Jeopardy

Algrebra

100

Solve for x: 2x+5=15

x=5

200

Factor: x² -9x + 18

(x-3) (x-6)

300

Solve for x: 3/x = 5/4

x= 12/5

400

Multiply: (7x-4) (7x+4)

49x²-16

500

Multiply: (2x³-x) (x^1/2 + 2/x)

4x² + 2x^7/2 - x^3/2 -2

Trigonometry

100

What is sin (30°)

1/2

200

Convert 150° to radians

5π/4

300

What is sin^2x + cos^2x = 

1

400

A right triangle has an angle of 30°. The hypotenuse is 10. Find the opposite and adjacent sides.

Opposite = 5

Adjacent = 5 sqrt3

500

Name the corresponding coordinates of 240° 

(-1/2 , -sqrt3/2)

Derivatives

100

Differentiate: f(x)= 3x² - 5x + 2

6x-5

200

Differentiate: sin x

cos x

300

Differentiate: e^2x

2e^2x

400

Differentiate: f(x) = (6x² + 7x)⁴

4 (12x+7) (6x²+ 7x)³

500

Differentiate: h(u) = tan(4+10u)

10sec²(4+10u)

Integration

100

Integrate x²dx

x³/3 + C

200

Integrate 6x⁵ - 18x² + 7dx

x⁶ - 6x³ + 7x + C

300

Integrate 10t^-3 + 12t^-9+4t³dt

-5t^-2 - 3/2t^-8 + t⁴ + C

400

Integrate sin(x) + 10csc²(x)dx

-cos(x) - 10cot(x) + C

500

Integrate (8x-12) (4x²-12)⁴dx

1/5 (4x²-12x)⁵+C