Basic Pr actice Final Exam #3 Page 1 / 20
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1 Basic Practice Final Eam #3 Class Name : M Test Retake Instructor Name : Mr. Becke Student Name : Instructor Note : 1. Graph the inequalit. < Graph the sstem below and write its solution. = = 3 Note that ou can also answer "No solution" or "Infinitel man" solutions Solve the sstem of equations. =9 = + 9. Solve the following sstem of equations. Basic Pr actice Final Eam #3 Page 1 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
2 . Solve the following sstem of equations. + =9 5 + = 1 5. Graph the inequalit in the coordinate plane. > Solve the sstem of equations. = + 9 = Graph the solution to the following sstem of inequalities. 3 5 > Here is a sstem of equations. Basic Pr actice Final Eam #3 Page / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
3 . Here is a sstem of equations. + 3 = = 3 Graph the sstem. Then write its solution. Note that ou can also answer "No solution" or "Infinitel man" solutions Solve the following sstem of equations = 3 =7. Two sstems of equations are given below. For each sstem, choose the best description of its solution. If applicable, give the solution. The sstem has no solution. The sstem has a unique solution: 5 = =9, =, The sstem has infinitel man solutions. The sstem has no solution. The sstem has a unique solution: + =9 + =7, =, The sstem has infinitel man solutions. 11. Three sstems of linear equations are shown. Basic Pr actice Final Eam #3 Page 3 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
4 11. Three sstems of linear equations are shown. For each sstem, choose the best description of its solution. If the sstem has eactl one solution, give its solution. Line 1 : = 1 1 Line : = 1 7 Line 1 : = 1 3 Line 1 : = Line : + 3 = 0 Line : = + L L L - - The sstem has eactl one solution. The sstem has eactl one solution. The sstem has eactl one solution. Solution:, Solution:, Solution:, The sstem has infinitel man solutions. The sstem has infinitel man solutions. The sstem has infinitel man solutions. The sstem has no solution. The sstem has no solution. The sstem has no solution. 1. For each ordered pair, determine whether it is a solution to the sstem of equations. 7 = + 3 = 7, Is it a solution? Yes No 9, 7, 7, 5 0, 13. Three sstems of linear equations are shown. Basic Pr actice Final Eam #3 Page / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
5 13. Three sstems of linear equations are shown. For each sstem, choose the best description of its solution. If the sstem has eactl one solution, give its solution. 5 Line 1 : = Line 1 : = + 1 Line 1 : = 1 3 Line : = 3 Line : 5 + = Line : = 1 L L - - L The sstem has eactl one solution. The sstem has eactl one solution. The sstem has eactl one solution. Solution:, Solution:, Solution:, The sstem has infinitel man solutions. The sstem has infinitel man solutions. The sstem has infinitel man solutions. The sstem has no solution. The sstem has no solution. The sstem has no solution. 1. Graph the solution to the following sstem of inequalities. 5 < > + 7 Then give the coordinates of one point in the solution set Point in the solution set: 15. Graph the inequalit. Basic Pr actice Final Eam #3 Page 5 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
6 15. Graph the inequalit Use substitution to solve the sstem. = 5 = = = 17. Here is a sstem of equations. = + = + 3 Graph the sstem. Then write its solution. Note that ou can also answer "No solution" or "Infinitel man" solutions Graph the sstem below and write its solution. Basic Pr actice Final Eam #3 Page / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
7 1. Graph the sstem below and write its solution. = = Note that ou can also answer "No solution" or "Infinitel man" solutions For each ordered pair, determine whether it is a solution to the sstem of equations = 9 = 5 3, Is it a solution? Yes No 1, 0, 9 3,, 7 0. Graph the inequalit. Basic Pr actice Final Eam #3 Page 7 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
8 0. Graph the inequalit Two sstems of equations are given below. For each sstem, choose the best description of its solution. If applicable, give the solution. The sstem has no solution. The sstem has a unique solution: = =, =, The sstem has infinitel man solutions. The sstem has no solution. The sstem has a unique solution: 7 = 7 + =1, =, The sstem has infinitel man solutions.. Solve the following sstem of equations. 7 5 = = 3. Graph the inequalit in the coordinate plane. Basic Pr actice Final Eam #3 Page / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
9 3. Graph the inequalit in the coordinate plane. < Solve the following sstem of equations. 5 = 3 5 = 7 5. Use substitution to solve the sstem. + 7 = = = =. Simplif Assume that the variable represents a positive real number. 7. Rationalize the denominator and simplif. 7. Simplif. w Assume that the variable w represents a positive real number. 9. Simplif each epression. Basic Pr actice Final Eam #3 Page 9 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
10 9. Simplif each epression. Assume that the variables represent an real numbers. 1 = z = 30. Simplif. 0 w 5 + 7w 0 w 3 Assume that the variable represents a positive real number. 31. Simplif. w 7 Assume that the variable represents a positive real number. 3. Simplif Simplif. 3 9 u 3 1 u 5 Assume that the variable represents a positive real number. 3. Simplif. 9 1 Assume that the variable represents a positive real number. 35. Rationalize the denominator and simplif Simplif. Assume that the variable represents a positive real number. 37. Simplif. Basic Pr actice Final Eam #3 Page / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
11 37. Simplif Be sure to write our answer in lowest terms. 3. Simplif. 5 0 u 39. Solve for, where is a real number. u = u 0. Calculate the distance between the points and in the coordinate plane. Give an eact answer (not a decimal approimation) L M L =, M = 1, 5 1. Simplif Simplif Simplif. v Assume that the variable represents a positive real number.. Rationalize the denominator and simplif. Assume that the variable represents a positive real number. 7w 5. Simplif. Basic Pr actice Final Eam #3 Page 11 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
12 5. Simplif. 1 w 1 Assume that the variable w represents a positive real number.. Solve for, where is a real number. = 9 7. Simplif. 1 z 9 Assume that all variables represent positive real numbers.. For the following right triangle, find the side length. Round our answer to the nearest hundredth. 9. Simplif Simplif. 3 7 w 1 Assume that the variable represents a positive real number. Basic Pr actice Final Eam #3 Page 1 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
13 Basic Practice Final Eam #3 Answers for class M Test Retake Solution: Infinitel man solutions 3. = 7 = 3. = 3 = Basic Pr actice Final Eam #3 Page 13 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
14 . = = Solution: Infinitel man solutions 9. =3 = 7. The sstem has no solution. 5 = = 9 The sstem has a unique solution:, =, The sstem has infinitel man solutions. The sstem has no solution. + = 9 + = 7 The sstem has a unique solution:, = 1, The sstem has infinitel man solutions. 11. Basic Pr actice Final Eam #3 Page 1 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
15 11. Line 1 : = 1 1 Line : = 1 7 Line 1 : = 1 3 Line 1 : = Line : + 3 = 0 Line : = + L L L - - The sstem has eactl one solution. The sstem has eactl one solution. The sstem has eactl one solution. Solution: 3, Solution:, Solution:, The sstem has infinitel man solutions. The sstem has infinitel man solutions. The sstem has infinitel man solutions. The sstem has no solution. The sstem has no solution. The sstem has no solution. 1., Is it a solution? Yes No 9, 7, 7, 5 0, 13. Basic Pr actice Final Eam #3 Page 15 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
16 13. 5 Line 1 : = Line 1 : = + 1 Line 1 : = 1 3 Line : = 3 Line : 5 + = Line : = 1 L L - - L The sstem has eactl one solution. The sstem has eactl one solution. The sstem has eactl one solution. Solution:, Solution:, Solution: 1, The sstem has infinitel man solutions. The sstem has infinitel man solutions. The sstem has infinitel man solutions. The sstem has no solution. The sstem has no solution. The sstem has no solution Point in the solution set :, Basic Pr actice Final Eam #3 Page 1 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
17 1. = = Solution: No solution Solution:, 0 19., Is it a solution? Yes No 1, 0, 9 3,, 7 0. Basic Pr actice Final Eam #3 Page 17 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
18 The sstem has no solution = = The sstem has a unique solution:, = 7, The sstem has infinitel man solutions. The sstem has no solution. 7 = 7 + = 1 The sstem has a unique solution:, =, The sstem has infinitel man solutions.. = 0 = = 1 = 3 5. Basic Pr actice Final Eam #3 Page 1 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
19 5. = 1 = w 9. 1 = 9 z = z w 5w 31. w 3 w u u = Basic Pr actice Final Eam #3 Page 19 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
20 0. Distance unsimplified: 1 Distance simplified: v 11. 7w 7w 5. 9w 7. = 7. z 3z w Basic Pr actice Final Eam #3 Page 0 / 0 01 M cgr aw - Hill Education. All Rights Reser ved.
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