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Rational Expressions

100

Simplify x/(3x)

1/3

200

Simplify (x² - 4)/(x² - 3x + 2)

(x + 2)/(x - 1)

300

Describe how to divide rational expressions

Change the problem to multiplication by flipping the 2nd fraction, factor and cancel like terms

400

Multiply: (x - 3) * (4)/(2x - 6)

2

Factoring

100

Factor x² - 25

(x + 5)(x - 5)

200

Factor x² - 8x + 12

(x - 6)(x - 2)

300

Factor 3x² + 12x - 15

3(x + 5)(x - 1)

400

Factor 2x² - 5x + 2

(2x - 1)(x - 2)

Radicals

100

Change to root using flower power: x^5/2

Sqrt(x⁵)

200

Simplify the square root of 48

4sqrt(3)

300

Simplify the square root of 64x⁸y⁴z¹⁰

+/-8x⁴y²z⁵

400

Simplify the cube root of 27x⁹y¹³

3x³y⁴cbrt(y)

Solving Quadratics

100

Solve x² = 121

x = +/-11

200

Solve x² + 4 = 0

x = +/-2i

300

Solve x² + 9x = -20

x = -4, -5

400

Solve -5x + x² = 0

x = 0, 5

Random Facts

100

What is the oldest living land animal?

A tortoise named Jonathan (192 years old)

200

What percent of the human population lives in the northern hemisphere?

90%

300

What's the only food that never spoils?

Honey

400

Is the longest word in the English language more or less than 50,000 letters long?

More --> 189,819 letters