Instructor: Virginia Davis Course: Foundations for College Math (1)

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1 5/19/01 Final Eam Review Ch 10,11-Virginia Davis Student: Date: Instructor: Virginia Davis Course: Foundations for College Math (1) Assignment: Final Eam Review Ch 10,11 1. Simplif b factoring. Assume that all variables under radicals represent nonnegative numbers. 10 Select the correct choice below and, if necessar, fill in the answer bo that completes our choice. 10 = (Tpe an eact answer, using radicals as needed.) B. The square root is not a real number.. Find the root. Assume that the variable represents a nonnegative real number. 3 Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. 3 = (Simplif our answer.) B. The root is not a real number. 3. Simplif the radical. Assume that all variables represent positive real numbers Select the correct choice below and, if necessar, fill in the answer bo to complete our choice = B. The radical does not represent a real number.. Simplif the radical. Assume that all variables represent positive real numbers. a b Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. a b = B. The root is not a real number. 1/11

2 5/19/01 Final Eam Review Ch 10,11-Virginia Davis 5. Use radical notation to rewrite the epression Select the correct choice below and, if necessar, fill in the answer bo to complete our choice = (Simplif our answer. Tpe an eact answer, using radicals as needed.) B. The answer is not a real number.. Use rational eponents to simplif each radical. Assume that all variables represent positive numbers. 1 a b 1 a b = (Simplif our answer. Tpe an eact answer, using radicals as needed.) 7. Use the quotient rule to simplif. 5 5 = (Tpe an eact answer, using radicals as needed. Use integers or fractions for an numbers in the epression. Simplif our answer.). Use the quotient rule to simplif. 9 9 = (Tpe an eact answer, using radicals as needed. Use integers or fractions for an numbers in the epression. Simplif our answer.) 9. Simplif b factoring. = (Tpe an eact answer, using radicals as needed.) /11

3 5/19/01 Final Eam Review Ch 10,11-Virginia Davis 10. Use the quotient rule to divide, then simplif, if possible = (Tpe an eact answer, using radicals as needed. Simplif our answer.) 11. Solve. 5 = Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. The solution(s) is(are) =. (Use a comma to separate answers as needed.) B. The solution set is. 1. Solve. 5 9 = Select the correct choice below and fill in an answer boes present in our choice. = (Simplif our answer. Use a comma to separate answers as needed.) B. There is no solution. 13. Find the length of the unknown side of the triangle. 0 ft 5 ft The length of the unknown side of the triangle is (Simplif our answer. Tpe an eact answer, using radicals as needed.) ft. 3/11

4 5/19/01 Final Eam Review Ch 10,11-Virginia Davis 1. Find the length of the unknown side of the given triangle. 3 m m The side is m. (Simplif our answer. Tpe an eact answer, using radicals as needed.) 15. Subtract. (5 + 7 ) (9 ) (5 + 7 ) (9 ) = (Simplif our answer. Tpe our answer in the form a + b.) 1. Subtract. (5 9 ) (3 ) (5 9 ) (3 ) = (Simplif our answer. Tpe our answer in the form a + b.) 17. Perform the indicated operation. (7 + )(7 ) The answer is. (Simplif our answer. Tpe our answer in the form a + b.) 1. Multipl. ( 5 + i ) ( 5 + i ) = (Simplif our answer. Tpe our answer in the form a + b.) 19. Use the square root propert to solve the equation. The equation has real number solutions. = ( + 1) = 1 (Simplif our answer. Tpe an eact answer, using radicals as needed. Use a comma to separate answers as needed.) 0. Use the square root propert to solve the equation. The equation has real number solutions. = ( 1) = 0 (Simplif our answer. Tpe an eact answer, using radicals as needed. Use a comma to separate answers as needed.) /11

5 5/19/01 Final Eam Review Ch 10,11-Virginia Davis 1. Use the square root propert to solve the equation. = + 9 = 0 (Tpe an eact answer, using radicals as needed. Epress comple numbers in terms of. Use a comma to separate answers as needed.). Use the quadratic formula to solve the equation. The equation has real number solutions. 7 = + 3 = (Tpe a simplified answer, using fractions and radicals as needed. Use a comma to separate answers as needed.) 3. Use the quadratic formula to solve the equation. = + 7 = 0 (Tpe an eact answer, using radicals as needed. Use a comma to separate answers as needed.). Use the quadratic formula to solve the equation. + + = 0 The solution(s) is/are =. (Simplif our answer. Tpe an eact answer, using radicals and as needed. Use a comma to separate answers as needed.) 5. Sketch the graph of the quadratic function and the ais of smmetr. State the verte, and give the equation for the ais of smmetr. f() = 3( 5) + Use the graphing tool to graph the function as a solid curve and the ais of smmetr as a dashed line. The verte is. (Tpe an ordered pair.) The ais of smmetr is. (Tpe an equation.) /11

6 5/19/01 Final Eam Review Ch 10,11-Virginia Davis. Find the verte of the graph of the quadratic function. Determine whether the graph opens upward or downward, find an intercepts, and sketch the graph. f() = The verte is. (Simplif our answer. Tpe an ordered pair.) Does the graph open upward or downward? upward. downward Find an intercepts of the graph. Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. The intercept(s) is(are). (Simplif our answer. Tpe an ordered pair. Use a comma to separate answers as needed.) B. There is no intercept. Find an intercepts of the graph. Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. The intercept(s) is(are). (Simplif our answer. Tpe an ordered pair. Use a comma to separate answers as needed.) B. There is no intercept. Use the graphing tool to graph the function. /11

7 5/19/01 Final Eam Review Ch 10,11-Virginia Davis 7. Find the verte of the graph of the quadratic function. Determine whether the graph opens upward or downward, find an intercepts, and sketch the graph. f() = 5 The verte is. (Simplif our answer. Tpe an ordered pair.) Does the graph open upward or downward? downward. upward Find an intercepts of the graph. Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. The intercept(s) is(are). (Simplif our answer. Tpe an ordered pair. Use a comma to separate answers as needed.) B. There is no intercept. Find an intercepts of the graph. Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. The intercept(s) is(are). (Simplif our answer. Tpe an ordered pair. Use a comma to separate answers as needed.) B. There is no intercept. Use the graphing tool to graph the function. 7/11

8 5/19/01 Final Eam Review Ch 10,11-Virginia Davis. Find the verte of the graph of the quadratic function shown below. Determine whether the graph opens upward or downward, find the intercept, approimate an intercepts to one decimal place, and sketch the graph. f() = The verte is. (Simplif our answer. Tpe an ordered pair.) Does the graph open upward or downward? upward. downward. What is the intercept of the graph? (Tpe an ordered pair. Use a comma to separate answers as needed.) Approimate an intercepts of the graph. Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. The intercept(s) is(are). (Tpe an ordered pair. Round to one decimal place as needed. Use a comma to separate answers as needed.) B. There are no intercepts. Choose the correct graph below. B. C. D /11

9 5/19/01 Final Eam Review Ch 10,11-Virginia Davis = 5 (Tpe an eact answer, using radicals as needed.) 3. = (Simplif our answer.) = 3 3. a b 11 = a b = 11 (Simplif our answer. Tpe an eact answer, using radicals as needed.). 3 ab The solution(s) is(are) = 9. (Use a comma to separate answers as needed.) 1. = 9 (Simplif our answer. Use a comma to separate answers as needed.) /11

10 5/19/01 Final Eam Review Ch 10,11-Virginia Davis , , , 3. 1, , , (5,) = 5. ( 3, ) upward. The intercept(s) is(are) ( 5,0),( 1,0). (Simplif our answer. Tpe an ordered pair. Use a comma to separate answers as needed.) The intercept(s) is(are) (0,5). (Simplif our answer. Tpe an ordered pair. Use a comma to separate answers as needed.) 10/11

11 5/19/01 Final Eam Review Ch 10,11-Virginia Davis ( 3,) downward. The intercept(s) is(are) ( 5,0),( 1,0). (Simplif our answer. Tpe an ordered pair. Use a comma to separate answers as needed.) The intercept(s) is(are) (0, 5). (Simplif our answer. Tpe an ordered pair. Use a comma to separate answers as needed.) (1,1) (0,13) upward. B. There are no intercepts /11

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