Math_112_Fall_2010.jkovalsky.Lesson_04_-_Solving_Equations_and_Inequalities

Math_112_Fall_2010.jkovalsky.Lesson_04_-_Solving_Equations_and_Inequalities

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Unformatted text preview: JORDAN KOVALSKY Math - 112 Spring 2010 WeBWorK Assignment Lesson 04 - Solving Equations and Inequalities Due Date: 09/15/2010 at 11:59pm CDT. The primary purpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making some kind of mistake. You can use the Feedback button on each problem page to send e-mail to the course instructors. 1. (1 pt) Solve the equation 2s - 4 = -12. s= 5. (1 pt) 1 Solve the equation |x + 2| + = 0. 7 If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". x= Correct Answers: -4 Correct Answers: NONE 2. (1 pt) Solve the equation s - {8 - [s - (8 + s)]} = 5. s= 6. (1 pt) Solve the equation 2|y - 2| = 3y - 4 If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". y= Correct Answers: 21 3. (1 pt) 2 9 Solve the equation = - 1. x x x= Correct Answers: 1.6 7. (1 pt) Find all real solutions to the equation 5y3 - 80y = 0. If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". y= Correct Answers: 7 / 1 4. (1 pt) Solve the equation |t - 5| - 4 = 4. If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". t= Correct Answers: 0, 4, -4 8. (1 pt) Factor the polynomials and solve for h. If you have more than one solution, separate them with commas. h2 - h - 12 = 0 Solutions: 1 Correct Answers: 13, -3 10h2 - 11h + 3 = 0 Solutions: Correct Answers: 4, -3 0.5, 0.6 Correct Answers: 0.2, 2 12. (1 pt) Find all real solutions to the equation t 3/2 = 64. If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". t= 9. (1 pt) Find all real solutions to the equation (x + 7)3 + 7 = 0. x= If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". Note: If b is positive, the solution of z3 = -b is z = -b1/3 . WeBWorK refuses to raise a negative number to a fractional power. If the denominator in the exponent of a fractional power is odd, you can remedy this by by factoring out the negative sign: WeBWorK rejects (-3)^(1/3) but accepts -(3^(1/3)) or 3^(1/3). You can't raise a negative number a fractional power with an to even denominator: (-2)^(1/2) and -2) are both undefined. Correct Answers: 16 13. (1 pt) Solve the equation 2 - s - 10 = s. If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". s= Correct Answers: -8.91293 10. (1 pt) Correct Answers: -7 4 Find all real solutions to the equation t 2 - 2 - 256 = 0. If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". t= 4 Find all real solutions to the equation t 2 - 2 + 256 = 0. If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". t= 14. (1 pt) Find all real solutions of the equation 7 - 3x - 6(x + 1) = 1. If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". Solutions = Correct Answers: Correct Answers: 2.44949, -2.44949 NONE -0.666667 15. (1 pt) Solve the inequality 4x - 7 < 5 and specify the answer using interval notation. Solution = 11. (1 pt) Find all real solutions to the equation 2y-2 - 11y-1 + 5 = 0. If there is more than one solution, separate them by commas; if there are no solutions, enter "NONE". y= Correct Answers: (-infinity,3) 2 16. (1 pt) Solve the inequality 7 - 3x 26 and specify the answer using interval notation. Solution = [0,infinity) 18. (1 pt) 2 2 - 4t 3 and specify the answer 3 -4 4 using interval notation. Solution = Solve the inequality Correct Answers: [-6.33333333333333,infinity) Correct Answers: [1.16666666666667,1.25] 17. (1 pt) 19. (1 pt) Solve the inequality and specify the answer using interval notation. Solution = 2(t - 3) - 4(t + 2) -14 Multiply and simplify. s3 (5s)4 = Correct Answers: Correct Answers: c Generated by the WeBWorK system WeBWorK Team, Department of Mathematics, University of Rochester 625*s^7 3 ...
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