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

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

JeopardyDivide

PolynomialsSimplify

Expressionsx/÷ RationalExpressions

+/- RationalExpressions

Solve Rational Expressions

100 100 100 100 100

200 200 200 200 200

300 300 300 300 300

400 400 400 400 400

500 500 500 500 500

Page 2: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

100

Divide (use long division)

(45x4 – 60x2 + 30x) ÷ (15x)

Page 3: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

200

Divide (use long division)

(7x2 – 2x – 5) ÷ (x – 2)

Page 4: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

300

Divide (use long division)

(22 – 4x + 3x2) ÷

(x – 4)

Page 5: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

400Divide (use long division)

(8x + x2 – 3) ÷ (2 – x)

Page 6: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

500Divide (use long division)

(7 – x2) ÷ (x + 4)

Page 7: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

100

Simplify the rational expression, if possible. Find

the excluded values.

2x - 4

x2 + 8x – 20

Page 8: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

200

Simplify the rational expression, if possible. Find

the excluded values.

4x2 – 12x

2x2 – 5x – 3

Page 9: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

300

Simplify the rational expression, if possible. Find

the excluded values.

x2 + 4x – 60

2x2 + 23x + 30

Page 10: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

400

Simplify the rational expression, if possible.

Find the excluded values.

x - 4

x3 – 8x2 + 16x

Page 11: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

500Simplify the rational

expression, if possible. Find the excluded values.

x2 + 7x + 10

2x3 – 8x

Page 12: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

100Find the product or quotient.

3x2 – 10x – 8 ÷ 6x2 + x – 2

5x2 – 20x 30x2 – 120x

Page 13: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

200

Find the product or quotient.

4x – 12 ● (2x2 + 11x – 40)

x2 + 5x – 24 mmmmmmmm

Page 14: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

300 Find the product or

quotient.

x2 + 2x – 35 ÷ 3x2 + 21x

x2 – 3x – 10 9x + 18

Page 15: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

400

Find the product or quotient.

x2 + 8x + 15 ● x2 – 2x – 8

x2 + 7x + 10 3x2 + 9x

Page 16: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

500

Find the product or quotient.

x3 – x2 + 4x – 4 ÷ x2 + 7x – 8

10x3 5x2 + 40x

Page 17: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

100

Find the sum or difference.

4x – x + 1

x2 – 1 x2 + 8x + 7

Page 18: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

200

Find the sum or difference.

x + 6 + x + 1

x2 – 4x – 12 x2 + 3x + 2

Page 19: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

300 Find the sum or difference.

x – 2 – x + 1

x2 – 6x + 9 x2 + 2x – 15

Page 20: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

400You 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.

Page 21: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

500You 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.

Page 22: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

100

Solve the equation.

2 – 6 = x

x + 3 2x + 6 2

Page 23: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

200

Solve the equation.

x - 5x= -18

x – 4 x - 2 x - 2

Page 24: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

300

Solve the equation.

1 – x – 1 = x

(x + 1)2 x + 1

Page 25: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

400Solve the equation.

x - 3x = -2x + 2

x – 2 x – 4 x2 – 6x + 8

Page 26: Jeopardy Divide Polynomials Simplify Expressions x/÷ Rational Expressions +/- Rational Expressions Solve Rational Expressions 100 200 300 400 500

500

Solve the equation.

x + 7 – 1 = x + 10

x + 4 2x + 8