Jeopardy ACT Project

Algebra

100

What is the solution to the equation 2x+5=15?

5

200

Solve for x: 3x - 4 = 11.

5

300

Double Jeopardy!

How many integers between 4 and 37 are divisible by 3 with no remainder? 

What is 11

400

Solve for x: 5x + 3 = 2x +15.

x=4

500

Solve for x: 3(x - 2) = 2x + 6

x = 12

Functions

100

What is the value of f(3) if f(x) = 2x +1?

f(3) = 7

200

What is the inverse of the function f(x) = 3x - 4?

f^-1(x) = x+4/3

300

Given f(x) = 2x² + 3, find f(2).

^{f(2) = 11}

400

If g(x) = x² + 2x, what is g(-1)?

g(-1) = -1

500

Solve for x: 4x + 5 = f(x) = 25

x = 5

Geometry

100

Double Jeopardy!

What is the area of a triangle with base 8 and height 5?

Area = 20

200

Find the circumference of a circle with radius 7. 

Circumference = 14π or approx. 43.98

300

Double Jeopardy!

What is the measure of each angle in an equilateral triangle? 

60^∘

400

A rectangle has a length of 12 and width of 6. What is its area? 

Area = 72

500

Double Jeopardy!

What is the sum of the interior angles of a quadrilateral? 

360^∘

Trigonometry

100

What is sin(30^∘)?

sin(30^∘) = 0.5

200

Find cos(45^∘).

cos(45^∘) = √(2)/ 2

300

Solve for x: sin(x) = 0.5, where 0∘ ≤x≤ 360∘

x = 30^∘, 150^∘

400

What is the tangent of a 60^∘ angle?

tan(60^∘) = √(3)

500

DOUBLE JEOPARDY!

Find the missing side of a right triangle if one leg is 3 and the hypotenuse is 5. 

What is 4

Statistics & Probability

100

What is the mean of these numbers: 2, 5, 7, 10?

Mean = 6

200

Double Jeopardy!

What is the probability of drawing a red card from a standard deck of cards of 52? 

26/52 = 0.5

300

Find the median of the numbers 1, 3, 5, 7, 9.

Median = 5

400

Double Jeopardy!

If the probability of rain tomorrow is 0.7, what is the probability that it will not rain? 

What is 0.3 

500

A dice is rolled. What is the probability of rolling a number greater than 4? 

What is 2/6 = 1/3