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Simplifying and Solving Rational Expressions Chapter Exam

Exam Instructions:

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Page 1

Question 1 1.

Solve the following rational equation:

(9/(x-7))-(5/(x+9)) = (8/(x^2+2x-63))

Question 2 2. Subtract the following rational expressions.

Question 3 3. Add the following rational expressions.

Question 4 4.

Simplify the following expression:

(5x/(x-2))-((4x^2+5x+21)/(x^2-5x+6))

Question 5 5. Multiply the following rational expressions.

Page 2

Question 6 6. Multiply the following expressions:

Question 7 7. Subtract and simplify.

Question 8 8.

Solve for x:

(6/(x+3)) + (7/(x+4)) = 116/(2x^2+14x+24)

Question 9 9. Solve for x.

Question 10 10.

Simplify the following expression:

((2-12p)/(p^2+p-12))+((15p-9)/(p+4))

Page 3

Question 11 11.

Solve for x:

(8/(x-1)) + (5 /(5x+5)) = 79/(x^2-1)

Question 12 12.

Divide the following rationals:

((y^2 - 64) / (y^2 - 4)) / ((y^2+11y+24)/(y^2-4y-12))

Question 13 13.

Solve for x:

(2/(x+5)) - (1/(x-5)) = -28/(x^2-25)

Question 14 14.

Simplify the expression:

((r(r-11))/(r^2-49)) - (2/(r-7))

Question 15 15. Solve for x.

Page 4

Question 16 16.

Solve for x:

(7/(x+3)) - (3/(3x+15)) = 62/(x^2+8x+15)

Question 17 17. Solve for x.

Question 18 18. Subtract and simplify.

Question 19 19. Divide the following rational expressions.

Question 20 20. Add and simplify.

Page 5

Question 21 21. Divide the following expressions:

Question 22 22. When you divide a rational expression you must remember to _____ the second fraction.

Question 23 23.

Simplify:

((x^2+x-12)/(x^2-4)) * ((2x^2+10x+12)/(2x^2+14x+24))

Question 24 24.

Simplify the following expression:

(3/(x-7))+(7/(x+3))

Question 25 25. Multiply the following expressions:

Page 6

Question 26 26. Solve the following rational equation.

Question 27 27. Solve for x.

Question 28 28. Solve the rational equation.

Question 29 29. Subtract and simplify.

Question 30 30.

Divide the following rationals:

((x^2-4x-21)/(x^2-12x+35))/((x^2+12x+27)/(x^2-25))

Simplifying and Solving Rational Expressions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. You will lose your work if you close or refresh this page. Good luck!

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