Jeopardy Divide Polynomials Simplify Expressions x Rational Expressions

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

100 Divide (use long division) 4 (45 x – 2 60 x + 30 x) ÷ (15 x)

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

300 Divide (use long division) 2 3 x ) (22 – 4 x + (x – 4) ÷

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

500 Divide (use long division) (7 – 2 x) ÷ (x + 4)

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

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

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

400 Simplify the rational expression, if possible. Find the excluded values. x-4 3 2 x – 8 x + 16 x

500 Simplify the rational expression, if possible. Find the excluded values. 2 x + 7 x + 10 3 2 x – 8 x

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

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

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

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

500 Find the product or quotient. x 3 – x 2 + 4 x – 4 ÷ x 2 + 7 x – 8 10 x 3 5 x 2 + 40 x

100 Find the sum or difference. 4 x – 2 x – 1 x+1 2 x + 8 x + 7

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

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

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. a. Write an equation that gives the total time t (in hours) as a function of your average speed r (in mph) in still water. b. 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. a. 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. b. 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 2 x + 6 2

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

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

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

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