Solve Rational Expressions Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Solve Rational Expressions 100 200 300 400 500

Divide (use long division) 100 Divide (use long division) (45x4 – 60x2 + 30x) ÷ (15x)

Divide (use long division) 200 Divide (use long division) (7x2 – 2x – 5) ÷ (x – 2)

Divide (use long division) 300 Divide (use long division) (22 – 4x + 3x2) ÷ (x – 4)

Divide (use long division) 400 Divide (use long division) (8x + x2 – 3) ÷ (2 – x)

Divide (use long division) 500 Divide (use long division) (7 – x2) ÷ (x + 4)

100 Simplify the rational expression, if possible. Find the excluded values. 2x - 4 x2 + 8x – 20

200 Simplify the rational expression, if possible. Find the excluded values. 4x2 – 12x 2x2 – 5x – 3

300 Simplify the rational expression, if possible. Find the excluded values. x2 + 4x – 60 2x2 + 23x + 30

400 Simplify the rational expression, if possible. Find the excluded values. x - 4 x3 – 8x2 + 16x

500 Simplify the rational expression, if possible. Find the excluded values. x2 + 7x + 10 2x3 – 8x

Find the product or quotient. 100 Find the product or quotient. 3x2 – 10x – 8 ÷ 6x2 + x – 2 5x2 – 20x 30x2 – 120x

Find the product or quotient. 200 Find the product or quotient. 4x – 12 ● (2x2 + 11x – 40) x2 + 5x – 24 mmmmmmmm

Find the product or quotient. 300 Find the product or quotient. x2 + 2x – 35 ÷ 3x2 + 21x x2 – 3x – 10 9x + 18

Find the product or quotient. 400 Find the product or quotient. x2 + 8x + 15 ● x2 – 2x – 8 x2 + 7x + 10 3x2 + 9x

Find the product or quotient. 500 Find the product or quotient. x3 – x2 + 4x – 4 ÷ x2 + 7x – 8 10x3 5x2 + 40x

Find the sum or difference. 100 Find the sum or difference. 4x – x + 1 x2 – 1 x2 + 8x + 7

Find the sum or difference. 200 Find the sum or difference. x + 6 + x + 1 x2 – 4x – 12 x2 + 3x + 2

Find the sum or difference. 300 Find the sum or difference. x – 2 – x + 1 x2 – 6x + 9 x2 + 2x – 15

Find your total time if your average speed in still water is 3 mph. 400 You paddle 8 miles upstream (against the current) and 8 miles downstream (with the current). The speed of the current is 1 mile per hour. Write an equation that gives the total time t (in hours) as a function of your average speed r (in mph) in still water. Find your total time if your average speed in still water is 3 mph.

500 You bike ride 50 miles from home. On your way back home, your average speed increases by 3 mph. Write an equation that gives the total biking time t (in hours) as a function of your average speed r (in mph) when you are biking away from home. Find your total time if you bike away from your home at an average speed of 15 mph.

100 Solve the equation. 2 – 6 = x x + 3 2x + 6 2

200 Solve the equation. x - 5x= -18 x – 4 x - 2 x - 2

300 Solve the equation. 1 – x – 1 = x (x + 1)2 x + 1

400 Solve the equation. x - 3x = -2x + 2 x – 2 x – 4 x2 – 6x + 8

500 Solve the equation. x + 7 – 1 = x + 10 x + 4 2x + 8