Spring Break Jeopardy!

Solving

100

3x = 7

x = 7/3

200

x² = 9

x = +/- 3

300

x² - 7x + 10 = 0

x = 2, 5

400

y = 5x + 7, y = 4x - 3

(-10, -43)

500

x² - 7x - 3 = 0

x = (7 +/- √61)/2

Exponents

100

(2^x)(2⁵)

2^{x + 5}

200

(x³)⁷

x²¹

300

x⁵/x^-19

x²⁴

400

(x²y³)/y

x²y²

500

x²y⁹z⁴x³z^-5

(x⁵y⁹)/z

Factoring

100

x² + 3x + 2

(x + 2)(x + 1)

200

x² - 10x + 25

(x - 5)²

300

x² - 49

(x - 7)(x + 7)

400

 2x² + 11x + 12

(2x + 3)(x + 4)

500

x³ + 3x² + 2x + 6

(x² + 2)(x + 3)

Numbers

100

What is the largest number?

∞

200

What is the greatest common factor of 108 and 270?

54

300

What is 0.11 (repeating) as a fraction?

1/9

400

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

6√7

500

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

n = 7

Miscellaneous

100

Who is the best tutor?

Subhadra

200

What is the sine of an angle in a right triangle with sides as follows?

- Hypotenuse: 5

- Opposite: 4

- Adjacent: 3

4/5

300

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

6

400

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

12 inches²

500

(x² - 2)⁴

x⁸ - 8x⁶ + 24x⁴ - 32x² - 32