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

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

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

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

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

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

7. 100
Simplify the rational expression, if possible. Find the excluded values.
2x - 4
x2 + 8x – 20

8. 200
Simplify the rational expression, if possible. Find the excluded values.
4x2 – 12x
2x2 – 5x – 3

9. 300
Simplify the rational expression, if possible. Find the excluded values.
x2 + 4x – 60
2x2 + 23x + 30

10. 400
Simplify the rational expression, if possible. Find the excluded values.
x - 4
x3 – 8x2 + 16x

11. 500
Simplify the rational expression, if possible. Find the excluded values.
x2 + 7x + 10
2x3 – 8x

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

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

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

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

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

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

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

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

20. 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.

21. 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.

22. 100
Solve the equation.
2 – = x
x x

23. 200
Solve the equation.
x x=
x – 4 x x - 2

24. 300
Solve the equation.
1 – x – 1 = x
(x + 1)2 x + 1

25. 400
Solve the equation.
x x = -2x + 2
x – 2 x – 4 x2 – 6x + 8

26. 500
Solve the equation.
x + 7 – 1 = x + 10
x x + 8