Your Math Skills are in Jeopardy!

Exponents

100

(x²)³

x⁶

200

x⁵/x^-19

x²⁴

300

(x²y³)/y

x²y²

400

Factor x¹⁰- x⁵.

x⁵(x⁵ - 1)

500

x²y⁹z⁴x³z^-5

(x⁵y⁹)/z

Numbers

100

Quick! What is 2⁵?

32

200

What is the greatest common factor of 108 and 270?

27

300

15 * 8 * 42 = n! What is n?

n = 7

400

What is 0.11 (repeating) as a fraction?

1/9

500

What is the square root of 252? Leave your answer in exact form (i.e. simplify).

6 times the square root of 7.

Quadratics

100

Expand x(x - 3).

x² - 3x

200

Expand (x - 4)(x + 5).

x² + x - 20

300

Factor x² - 169.

(x - 13)(x + 13)

400

Factor x³ - 5x² + 6x.

x(x - 2)(x - 3)

500

-3x² + 17x - 20 = 0. Solve for x.

x = 4, 5/3

Equations

100

Solve 2x = -4.

x = -2.

200

Isolate the y-variable: 4y + 8x = 16

y = -2x + 4

300

Solve x² = 25.

x = -5, 5

400

What is the order of operations when you are working with numbers algebraically?

SADMEP! Subtraction and addition, division and multiplication, exponents, and parentheses.

500

If 4x + 2y = 30 and x + y = 11, find the values of x and y.

x = 4 and y = 7

Miscellaneous

100

Who is the best tutor?

Subhadra. Duh.

200

How many ways can three people sit in three seats if no seat is left empty?

They can sit in six ways.

300

Give me three Pythagorean triples. Go!

3-4-5

5-12-13

7-24-25

And so on! There are many more. Remember that multiples of these are also triples. (6-8-10 is a multiple of 3-4-5, and it is a triple.)

400

Recite the quadratic formula.

Look it up if you're not at club right now.

500

If a triangle has sides of 5 inches, 6 inches, and 5 inches, what is the area of the triangle?

It is 12 inches². (Hint: Draw a picture and look for Pythagorean triples.)