Final Exam Review Part 2 #1 Page 1 / 21

Transcription

1 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 =. Solve for, where is a real number = 0 u 3. Solve for, where is a real number. u 11u 1 = u. Solve for, where is a real number. 1 = 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

2 . 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 = 0 u 5 3 = 0 u 9. Solve, where is a real number. Simplif our answer as much as possible = 0. Solve where is a real number. Write our answer in simplified radical form 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

3 w 3 = 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

4 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

5 3. Solve the quadratic equation b completing the square = 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 = 0 5. Use the quadratic formula to solve for. + 1 = 0 Round our answer to the nearest hundredth = 0. Find all comple solutions of. Final Eam Review Part #1 Page 5 / 1 Copright 01 UC Regents and ALEKS Corporation

6 7. Compute the value of the discriminant and give the number of real solutions of the quadratic equation = 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

7 31. Find all real number solutions = 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

8 33. Graph the parabola. = Graph the parabola. = Final Eam Review Part #1 Page / 1 Copright 01 UC Regents and ALEKS Corporation

9 g = 35. Graph the function g = + 3. Graph the function Final Eam Review Part #1 Page 9 / 1 Copright 01 UC Regents and ALEKS Corporation

10 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. = Final Eam Review Part #1 Page / 1 Copright 01 UC Regents and ALEKS Corporation

11 39. Graph the parabola. = Graph the parabola. = = 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

12 . Answer the questions below about the quadratic function. g = 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 = ,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

13 . Look at the graphs and their equations below. Then fill in the information about the leading coefficients A, B, C, D and = A = B = 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 + > Final Eam Review Part #1 Page 13 / 1 Copright 01 UC Regents and ALEKS Corporation

14 . Graph the solution to the following inequalit on the number line. < Solve the following inequalit 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

15 Final Eam Review Part #1 Answers for class MAT 135 Spring 017 Master 1. No solution. 3.,., 5.., = 5 u = 9 = 3 v = 1 = = u = 3 u = 5 +, 5 = v = + 5, w = 3 0 i 3 1. = = 1i i 13i Final Eam Review Part #1 Page 15 / 1 Copright 01 UC Regents and ALEKS Corporation

16 , i = 3 17 i = =, Form: + = Solution: = 3 + = 3, , 7 1. = ,. = 3 7 +, i 3 7 i 7. Discriminant = Number of real solutions = t = 3.0. seconds = 0 = 1, 1,, = 7, Final Eam Review Part #1 Page 1 / 1 Copright 01 UC Regents and ALEKS Corporation

17 3. -intercept(s): 1, 1 -intercept(s): Final Eam Review Part #1 Page 17 / 1 Copright 01 UC Regents and ALEKS Corporation

18 Final Eam Review Part #1 Page 1 / 1 Copright 01 UC Regents and ALEKS Corporation

19 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 = Final Eam Review Part #1 Page 19 / 1 Copright 01 UC Regents and ALEKS Corporation

20 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

21 , 7, 0, Final Eam Review Part #1 Page 1 / 1 Copright 01 UC Regents and ALEKS Corporation