ALEKS Review for Test IV #1 - 01/02/2010 1:41:22 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 1/9 Review for Test IV #1Intermediate Algebra / MAT135 Spring 2010 (Prof. Greenbaun) 1.Write the quadratic equation whose roots are and , and whose leading coefficient is . 2.Find all real or imaginary roots of . 3.Subtract. Write your answer as a complex number in standard form. 4.Solve for : ,where is a real number. 5.Solve for , where is a real number. 6.Find the -intercept(s) and the coordinates of the vertex for the parabola . If there is more thanone -intercept, separate them with commas.ALEKS Review for Test IV #1 - 01/02/2010 1:41:22 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 2/97.Find the value of such thatis a perfect square. 8.Find the value of such thatis a perfect square. 9.Find the -intercept(s) and the coordinates of the vertex for the parabola . If there is more thanone -intercept, separate them with commas. 10.Solve the following equation for by using the quadratic formula: . 11.Subtract. Write your answer as a complex number in standard form. 12.Find all real or imaginary roots of .ALEKS Review for Test IV #1 - 01/02/2010 1:41:22 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 3/913.Solve where is a real number. Simplify your answer as much as possible. 14.Solve , where is a real number. 15.Write the quadratic equation whose roots are and , and whose leading coefficient is . 16.Simplify the complex number as much as possible. 17.Perform the following complex number multiplication and write the answer in standard form: . 18.Perform the following complex number division and write the answer in standard form: . 19.Write the quadratic equation whose roots are and , and whose leading coefficient is .ALEKS Review for Test IV #1 - 01/02/2010 1:41:22 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 4/920.Solve where is a real number. Simplify your answer as much as possible. 21.Find the value of such thatis a perfect square. 22.Write the quadratic equation whose roots are and , and whose leading coefficient is . 23.Solve , where is a real number. Simplify your answer as much as possible. 24.Find all the values of such that the quadratic equationhas one real solution. Write your answer as an equality or inequality in terms of . 25.Graph the parabola.ALEKS Review for Test IV #1 - 01/02/2010 1:41:22 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 5/926.When a ball is thrown, its height in feet after seconds is given by the equation ,where is the initial upwards velocity in feet per second. If feet per second, find all values of for which feet. Do not round any intermediate steps. Round your answer to decimal places.(If there is more than one answer, enter additional answers with the button that says "or".) 27.Compute the value of the discriminant and give the number of real solutions to the quadratic equation.Discriminant:Number of real solutions:ALEKS Review for Test IV #1 - 01/02/2010 1:41:22 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 6/928.Perform the following complex number division and write the answer in standard form: . 29.Graph the parabola: . 30.Write the quadratic equation whose roots are and , and whose leading coefficient is .ALEKS Review for Test IV #1 - 01/02/2010 1:41:22 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 7/9Review for Test IV #1 Answers for class Intermediate Algebra / MAT135 Spring 20101. 2.or 3. 4. 5. 6.x-intercept(s): , vertex: . 7. 8. 9.x-intercept(s): , vertex: . 10. 11. 12.or 13. 14.ALEKS Review for Test IV #1 - 01/02/2010 1:41:22 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 8/915. 16. 17. 18. 19. 20. 21. 22. 23., 24. 25. 26. seconds or seconds. 27.Discriminant Number of real solutionsALEKS Review for Test IV #1 - 01/02/2010 1:41:22 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 9/928. 29.