Final Eam Review Part #1 Intermediate Algebra / MAT 135 Spring 017 Master ( Master Templates) Student Name/ID: v 1. Solve for, where is a real number. v v + 1 + =. Solve for, where is a real number. + 13 + 3 = 0 u 3. Solve for, where is a real number. u 11u 1 = u. Solve for, where is a real number. 1 = 11 + 5 v 5. Solve for, where is a real number. v = 3 v Final Eam Review Part #1 Page 1 / 1 Copright 01 UC Regents and ALEKS Corporation
. Solve for, where is a real number. = + 7. Solve for, where is a real number. 1 3 = u. Solve for, where is a real number. u u 1 1 3 + = 0 u 5 3 = 0 u 9. Solve, where is a real number. Simplif our answer as much as possible. + 7 3 = 0. Solve where is a real number. Write our answer in simplified radical form. 5 11. Solve where is a real number. v 5 = v Simplif our answer as much as possible. Final Eam Review Part #1 Page / 1 Copright 01 UC Regents and ALEKS Corporation
w 3 = 1 5 1. Solve 5 where is a real number. Simplif our answer as much as possible. w 13. Write in terms of. Simplif our answer as much as possible. 1 i 1. Simplif the epressions below as much as possible. Leave no negative numbers under radicals and no radicals in denominators. = 1 1 = 15. Add. 1 i + i Write our answer as a comple number in standard form. 1. Multipl. i 1 i Write our answer as a comple number in standard form. Final Eam Review Part #1 Page 3 / 1 Copright 01 UC Regents and ALEKS Corporation
17. Divide. + i 1 i Write our answer as a comple number in standard form. 1. Simplif the comple number i 3 as much as possible. 19. Solve for, where is a real number. 3 5 = = 0 0. Solve, where is a real number. Simplif our answer as much as possible. + = 0 1. Solve, where is a real number. Simplif our answer as much as possible.. Fill in the blank to make the epression a perfect square. + + Final Eam Review Part #1 Page / 1 Copright 01 UC Regents and ALEKS Corporation
3. Solve the quadratic equation b completing the square. 1 + 33 = 0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas. Form: + = = Solution: =. Use the quadratic formula to solve for. + 7 + 1 = 0 5. Use the quadratic formula to solve for. + 1 = 0 Round our answer to the nearest hundredth. + 3 + = 0. Find all comple solutions of. Final Eam Review Part #1 Page 5 / 1 Copright 01 UC Regents and ALEKS Corporation
7. Compute the value of the discriminant and give the number of real solutions of the quadratic equation. 3 + 3 = 0 Discriminant: Number of real solutions:. A ball is thrown from a height of feet with an initial downward velocit of. The ball's height (in feet) after seconds is given b the following. h = t 1 1t 1t How long after the ball is thrown does it hit the ground? Round our answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.) 1 1 ft/ s h h ground 1 9. Write the quadratic equation whose roots are and, and whose leading coefficient is. 30. Solve. 17 = 1 If there is more than one solution, separate them with commas. Final Eam Review Part #1 Page / 1 Copright 01 UC Regents and ALEKS Corporation
31. Find all real number solutions. 3 1 3 = 0 3. The graph of a function is given below. Give all -intercepts and -intercepts shown. - - - - If there is more than one answer, separate them with commas. -intercept(s): -intercept(s): Final Eam Review Part #1 Page 7 / 1 Copright 01 UC Regents and ALEKS Corporation
33. Graph the parabola. = 1-1 - - - - - - 1 - - - - -1 3. Graph the parabola. = 1 1-1 - - - - - - 1 - - - - -1 Final Eam Review Part #1 Page / 1 Copright 01 UC Regents and ALEKS Corporation
g = 35. Graph the function. 1-1 - - - - - 1 - - - - - -1 g = + 3. Graph the function. 1-1 - - - - - 1 - - - - - -1 Final Eam Review Part #1 Page 9 / 1 Copright 01 UC Regents and ALEKS Corporation
37. Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? { upward, downward } (b) Find the coordinates of the verte. verte: (c) Find the equation of the ais of smmetr. equation of ais of smmetr: (d) Find the -intercept(s)., -intercept(s): 3. Graph the parabola. = + 1 - - - - - - - - Final Eam Review Part #1 Page / 1 Copright 01 UC Regents and ALEKS Corporation
39. Graph the parabola. = + 1 1-1 - - - - - - 1 - - - - -1 0. Graph the parabola. = + + 3 1-1 - - - - - - 1 - - - - -1 = + + 1. Find the -intercept(s) and the coordinates of the verte for the parabola. If there is more than one -intercept, separate them with commas. Final Eam Review Part #1 Page 11 / 1 Copright 01 UC Regents and ALEKS Corporation
. Answer the questions below about the quadratic function. g = + 1 + 1 Does the function have a minimum or maimum value? Where does the minimum or maimum value occur? = What is the function's minimum or maimum value? 3. A medical equipment industr manufactures X-ra machines. The unit cost (the cost in dollars to make each X-ra machine) depends on the number of machines made. If the function C = 0. + 3,1 Do not round our answer. machines are made, then the unit cost is given b. How man machines must be made to minimize the unit cost? C Final Eam Review Part #1 Page 1 / 1 Copright 01 UC Regents and ALEKS Corporation
. Look at the graphs and their equations below. Then fill in the information about the leading coefficients A, B, C, D and. 5 5-5 5-5 5-5 -5 = A = B 5 5-5 5-5 5-5 -5 = C = D A B C D (a) For each coefficient, choose whether it is positive or negative - Positive - Negative - Positive - Negative - Positive - Negative - Positive - Negative (b) Choose the coefficient closest to 0 (c) Choose the coefficient with the least value 5. Graph the solution to the following inequalit on the number line. 3 + > 0-11 - -9 - -7 - -5 - -3 - -1 0 1 3 5 7 9 11 Final Eam Review Part #1 Page 13 / 1 Copright 01 UC Regents and ALEKS Corporation
. Graph the solution to the following inequalit on the number line. < - -9 - -7 - -5 - -3 - -1 0 1 3 5 7 9 7. Solve the following inequalit. 7 + 5 0 Write our answer using interval notation.. Solve the following inequalit. Write our answer as an interval or union of intervals. Final Eam Review Part #1 Page 1 / 1 Copright 01 UC Regents and ALEKS Corporation
Final Eam Review Part #1 Answers for class MAT 135 Spring 017 Master 1. No solution. 3.,., 5.., 7.. 9.. = 5 u = 9 = 3 v = 1 = = u = 3 u = 5 +, 5 = 5 11. v = + 5, + 5 1. 13. w = 3 0 i 3 1. = 3 1 1 = 1i 15. 1. 1 3i 13i Final Eam Review Part #1 Page 15 / 1 Copright 01 UC Regents and ALEKS Corporation
17. 1. 19. 0., 1. 17 i = 3 17 i = =, 1. 3. + + 1 Form: + = Solution: = 3 + = 3, 3. 7 + 1, 7 1. = 1.19 0.1 5.,. = 3 7 +, i 3 7 i 7. Discriminant = Number of real solutions = t = 3.0. seconds 9. 30. 31. = 0 = 1, 1,, = 7, Final Eam Review Part #1 Page 1 / 1 Copright 01 UC Regents and ALEKS Corporation
3. -intercept(s): 1, 1 -intercept(s): 1 33. 1-1 - - - - - - 1 - - - - -1 3. 1-1 - - - - - - 1 - - - - -1 Final Eam Review Part #1 Page 17 / 1 Copright 01 UC Regents and ALEKS Corporation
35. 1-1 - - - - - 1 - - - - - -1 3. 1-1 - - - - - 1 - - - - - -1 Final Eam Review Part #1 Page 1 / 1 Copright 01 UC Regents and ALEKS Corporation
37. (a) Does the parabola open upward or downward? upward (b) Find the coordinates of the verte. verte:, 3 (c) Find the equation of the ais of smmetr. equation of ais of smmetr: (d) Find the -intercept(s). -intercept(s): None = 3. - - - - - - - - 39. 1-1 - - - - - - 1 - - - - -1 Final Eam Review Part #1 Page 19 / 1 Copright 01 UC Regents and ALEKS Corporation
0. 1-1 - - - - - - 1 - - - - -1 1. -intercept(s):, verte:. 1, 9 Does the function have a minimum or maimum value? minimum Where does the minimum or maimum value occur? = 3 What is the function's minimum or maimum value? 3 3. Number of X-ra machines:. A B C D (a) For each coefficient, choose whether it is positive or negative - Positive - Negative - Positive - Negative - Positive - Negative - Positive - Negative (b) Choose the coefficient closest to 0 (c) Choose the coefficient with the least value Final Eam Review Part #1 Page 0 / 1 Copright 01 UC Regents and ALEKS Corporation
5. -11 - -9 - -7 - -5 - -3 - -1 0 1 3 5 7 9 11. - -9 - -7 - -5 - -3 - -1 0 1 3 5 7 9 7.. 5, 7, 0, Final Eam Review Part #1 Page 1 / 1 Copright 01 UC Regents and ALEKS Corporation