MU ALPHA THETA INDUCTION JEOPARDY

Math Basics

100

Numbers that cannot be expressed as a fraction

What are irrational numbers?

200

The name of a right triangle with the legs as 1, 1, and the hypotenuse of √2. 

45-45-90 Triangle

300

Michael breeds chickens and ducks.

Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532.

How much does a chicken cost, and how much does a duck cost?

Chicken $8 

Duck $5

400

The term for two objects that are the same size and shape.

Congruent

500

Identify the property:

If C is between B and D, then BC + CD = BD

What is the segment addition postulate?

Logarithms

100

Equals to log 1

What is 0?

200

Simplify:

ln x³ + ln 4y - 3ln x

What is ln 4y? 

300

log₄(2x)=5x+3

What is x= -2/3?

400

log₅ x − log₂₅ x + log_√5 x = −5

What is x = 1/25?

500

Expand:

log₂ 50

log₁₀ 50/log₁₀ 2

Sequences

100

A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number

What is a geometric sequence?

200

The sum of the first 8 numbers in the following sequence:

1, 4, 9, 16...

What is a 204?

300

Term for the amount between each number in a geometric sequence 

What is the common ratio?

400

The next two terms

3, 5, 8, 13, 21, 34, 55.... 

What are 89 and 144?

500

The formula for the sum of the first n terms of the geometric sequence

486, 162, 54....

S_n = 729(1-(1/3)ⁿ)

Trig

100

cotxsinx

What is cosx?

200

List 2 Pythagorean identities.

sin²(x) + cos²(x) = 1

1 + cot²(x) = csc²(x)

1 + tan²(x) = sec²(x)

300

Prove:

(1/tanx)+tanx = (1/sinxcosx)

- Put in terms of sine & cosine

- Use Pythagorean identity

Answers will vary

400

Write a sine FUNCTION with the following characteristics:

amplitude: 1/2

period: pi/4

What is f(x)= 1/2sin (8x)

500

Given a rhombus with sides of 44 units and a smaller angle of 65, what is the measure of the longer diagonal

What are 74.218 units?

Misc

100

Give three names for the points that can be found on y=0

zeros

x-intercepts

roots

200

The line which represents the instantaneous rate of a point on a graph.

What is the tangent line?

300

The amount of prime numbers that will go into 84 (excluding 1).

What is 4?

400

16% of 32 equals 20% of this number.

What is 25.6?

500

(No calculator)

The radius of circle E is 4 times the diameter of circle F. What is the ratio of the diameter of circle E to the radius of circle F?

1:4