Math 90 Final Exam Review ( )

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Math 90 Final Eam Review (01 015) Course Learning Outcome 1: Model, interpret and justif mathematical ideas and concepts using multiple representations, and use multiple strands in mathematics, such

An object is thrown upward from the top of a 9-foot building with an initial velocit of 0 feet per second. The height h of the object after seconds is given b the quadratic equation h = 1 + 0 + 9.

1 Math 90 Final Eam Review (01 015) Course Learning Outcome 1: Model, interpret and justif mathematical ideas and concepts using multiple representations, and use multiple strands in mathematics, such as Algebra and Geometr in situations and problems. 1. Find the measure of angle.. Find the measure of angle m z z n 3. An object is thrown upward from the top of a 9-foot building with an initial velocit of 0 feet per second. The height h of the object after seconds is given b the quadratic equation h = When will the object hit the ground? 5. The length of the base of a triangle is twice its height. If the area of the triangle is 5 square kilometers, find the height.. An object is dropped from 1 feet below the tip of the pinnacle atop a 97-foot building. The height h of the object after seconds is given b the quadratic equation h = When will the object hit the ground?. The height of a triangle is millimeters less than the base. If the area of the triangle is 0 square millimeters, find the base. 7. Jason can paint a room in 9 hours while it takes Clarissa 7 hours to paint the same room. How long would it take them to paint the room if the worked together?. In minutes, conveor belt moves 300 pounds of recclable aluminum from a deliver truck to a storage area. A smaller belt moves the same quantit of cans the same distance in 9 minutes. If both belts are used, find how long it takes to move the cans to the storage area. 9. Write a direct variation equation, =, that satisfies the ordered pairs in the table Write a direct variation equation, =, that satisfies the ordered pairs in the table

2 Course Learning Outcome : Recognize and use algebraic (field) properties, concepts, procedure (including factoring), and algorithms to combine, transform, and evaluate absolute value, polnomial, radical, and rational epressions. 11. Simplif the epression Simplif the epression Multipl. Simplif if possible. 1. Divide. Simplif if possible Subtract. Simplif if possible Add. Simplif if possible Add b first simplifing each radical and then combining an like radical terms Add b first simplifing each radical and then combining an like radical terms Multipl and simplif Multipl and simplif Course Learning Outcome 3: Identif and solve absolute value, polnomial, radical, and rational equations. 1. Solve the equation. 3 ( 5) = 0 3. Solve the equation = 0 5. Solve the absolute value equation. 1 = 3. Solve the equation. (5 + )( 5) = 0. Solve the equation = 0. Solve the absolute value equation. + 1 = 7

3 7. Solve the equation. 9. Solve the equation. + 5 = = +. Solve the equation = 30. Solve the equation. + = + 7 Course Learning Outcome : Identif and solve absolute value and linear inequalities. 31. Solve the inequalit Solve the inequalit. < 33. Solve the inequalit. 9 3 < 3. Solve the inequalit Solve the compound inequalit. Write answer in interval notation Solve the compound inequalit. Write answer in interval notation. < 7 < Solve the absolute value inequalit. Write 9 3. Solve the absolute value inequalit. Write + 1 < Solve the absolute value inequalit. Write > 3 0. Solve the absolute value inequalit. Write + 1 Course Learning Outcome 5: Recognize, understand and analze features of a function. 1. Find the domain of the given function. {(, ), (, 9), (1, ), (, 1)}. Find the range of the given function. {(, ), (, 9), (1, ), (, 1)}

4 3. Determine if the given relation is a function. {( 1, ), (, ), ( 1, ), (, 9)}. Determine if the given relation is a function. {(, 3), ( 3, 3), (, 3), ( 5, 1)} 5. Determine whether the graph is the graph of a function.. Determine whether the graph is the graph of a function Find () when ( ) = If ( 3) = 7, write the corresponding ordered-pair solution. 9. Use the graph to complete the ordered-pair solution (3, ) for. 50. Use the graph of to find (0)

5 Course Learning Outcome : Define, represent, and perform operations on real and comple numbers. 51. Simplif. Write an eact answer, using radicals and as needed Divide. Write an eact answer, using radicals and as needed Add. Write answer in the form +. ( + 9 ) + (7 + ) 5. Subtract. Write answer in the form +. (5 + 5 ) ( ) 55. Multipl. Write answer in the form +. (9 5 ) 5. Multipl. Write answer in the form +. (3 5 )( 3 ) 57. Multipl. Write answer in the form +. (3 7 ) 5. Multipl. Write answer in the form +. ( + )( ) 59. Divide. Write answer in the form Divide. Write answer in the form

6 Math 90 Final Eam Review (01 015) Answer Ke 1. =7. =13 3. =. =.5 5. =15. = hours. minutes 9. = 10. = ( ) =0, =5. =, = 3. =0, = 3. =3, =7 5. =, = 1. =1, = 1 7. =. =1 9. =9 30. =, = < 33. < [,33] 3. (0,1) 37. [ 9,9] 3.( 3,) 39. (, 3) (3, ) 0. (, 0] [, ) 1. {,1,,}. {1,,,9} 3. No. Yes 5. Yes. No ( 3, 7)

FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name

FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name 1) Find the SUM of the solutions of the equation. 82 + 0 = 16 Use the quadratic formula to solve the equation. (All solutions are real numbers.)