Fast Fractions

Rational Expressions

100

22x⁶ / 12x²

11x⁴ / 6

200

4x+16 / x+4

4

300

x+6  /  x²+3x-18

1 / x-3

400

x²-64 / 2x²+20x+32

(x-8) / 2(x+2)

500

45-5x / 3x²-28x+9

-5 / 3x-1

Add and Subtract Rational Expressions

100

(18x / 6x²) + (7x / 6x²)

25/6x

200

(23w²/3w³) - (19w/3w³)

23w-19/3w²

300

(8m² / 10m³-60m²) - (6m²-12m / 10m³-60m²)

1 / 5m

400

Which book in the Bible does Mordecai appear in?

Esther

500

(2 / 4p-20) + (p-6 / p²-8p+15)

3 / 2(p-3)

Multiply and Divide Rational Expressions

100

(4b²c² / 15bc³)  *  (5b³c⁶ / 12b⁴c⁷)

1 / 9c²

200

(5xy / 16x³) / (35x²y² / 8y⁵)

y⁴ / 14x⁴

300

(10x-5x² / x²-11x+18) * (x²-8x-9 / 15x)

-(x+1) / 3

400

(2a+2 / a+2) / (4a²+8a+4 / 12a+12)

6 / a+2

500

(20x-4 / 8x²) / (5x-1) * (6x / 5)

3 / 5x

Complex Fractions

100

6 / xy / 3y / 7x³

14x² / y²

200

Who is the Savior of the World?

Jesus

300

r/r+3 / (1 - (r/r+3))

r/3

400

8x²+24x / x²-9 / 2x / 15-5x

-20

500

2w²+16w / 2w²-5w-7 / 4w²+28w-32 / 10w²-10

5w / (2w-7)

Rational Equations

100

r / r-1 = 4 / r

r = {2}

200

2x-3 / 2 = 3 / x+4

x = {-4.5, 2}

300

4 / x = (1/x²+4x) + (5/x)

x={-5}

400

(13 / 3w-3) - (1 / w-1) = w / 9

w={6, -5}

500

2/c²-4c = (1/3c) + (1/3)

c={5,-2}