PreCalc Unit 1 Jeopardy

Exponents

100

The exponent rule for multiplication and division.

x^a x^b = x^a+b  &   x^a / x^b = x^a-b

200

Simplify the following... ((x²)²)² - x²x²x²

x⁸ - x⁶

300

Simplify the following... (2a³)⁴ - (2a⁶)²

8a¹²

400

Simplify the following... (a³b² / 2ab^-3)²

a⁴b⁸ / 4

500

Simplify the following.... (1/2 m^-2n³)³ (1/8 m^-1n⁴)^-2

8n⁷/m⁴

Polynomials

100

The classification of this expression... x² - 3x + x⁴

Quartic trinomial

200

Write in standard form... (10x²+3x-8x³+4)+(x³-3x-8x²-2)

-7x³+2x²+2

300

Write in standard form... (x+2)²

x²+4x+4

400

Write in standard form... 3x(x+6)

3x²+9x

500

(x+2)² - 2(-x²+x+4)

3x²+2x-4

Factoring

100

The prime factorization of 24.

What is 3x2³

200

Factor completely... x²-49

(x-7)(x+7)

300

Factor completely... x³+27

(x+3)(x²-3x+9)

400

Factor completely... 6x³-24x²+24x

6x(x-2)²

500

Factor completely... 8x⁴-72x²+160

8(x-2)(x+2)(x²-5)

Radicals/Rational Exponents

100

A radical expression with no perfect power factors left where there are no radicals left in the denominator is said to be in this form.

What is simplest radical form?

200

Simplify the square root of 72.

What is 6rt(2)

300

Simplify... 3(20)^1/2 - 2(45)^1/2

0

400

Simplify completely... (5 - 2rt(3))(5 + 2rt(3))

13

500

Simplify... 4 / (3^{1/2 +} 2^1/2)

4rt(3) - 4rt(2)

Complex Numbers

100

The definition of the number i. 

What is the square root of negative 1.

200

The value of i¹⁰¹

i

300

Simplify... (8+4i)+(-4+6i)

4+10i

400

Simplify... (3i²)⁴

81

500

Simplify... 6(4+3i) - i(10-12i)

12 + 8i