Math 0210 Common Final Review Questions (2 5 i)(2 5 i )
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1 Math 0 Common Final Review Questions In problems 1 6, perform the indicated operations and simplif if necessar. 1. ( 8)(4) ( )(9) ( ) ( i) ( 1 4 i ) 4. (8 i ). ( 9 i)( 7 i) 6. ( i)( i ) Solve the following problems. Define the variable(s), state and equation(s), solve the equation(s), and state the solution in a complete sentence. 7. Ms. Folgers has some coffee that sells for $4 per pound and a second coffee that sells for $8 per pound. She wants to mi the two coffees to make 0 pounds of coffee that will sell for $.60 per pound. How man pounds of each coffee should she use? 8. Mr. Ngen wants to diversif is portfolio b investing a total of $1,000 in two accounts, one is high risk paing 4% simple annual interest and the other is low risk paing % simple annual interest. If he wants to earn $0 annual interest, how much should he invest at each rate?
2 Math 0 Common Final Review Questions 9. Amie plans to use one-fourth of her 48-foot-b-0-foot rectangular back ard to plant a garden. Find the perimeter of the garden if the length is to be 40 feet greater than the width.. If the length of each side of a square is increased b 4 inches, the area of the larger square becomes 9 times greater than the area of the original square. Find the perimeter of the original square. Define the following terms. 11. Domain 1. Function 1. Draw eamples of graphs that are functions.
3 Math 0 Common Final Review Questions 14. State the domain and range of the given graph in interval and set builder notation. domain (interval notation ) range (interval notation) domain (set builder notation) range (set builder notation) 1. Which values of are not in the domain? 7 f( ) 16. How is f( ) pronounced and what does it reall mean? 17. From the graph the function g( ) determine the domain and range of the function. domain (interval notation ) range (interval notation) 18. If f ( ) 6, find: a.) f ( 1) b.) f( a 1) 19. If f ( ) 6 and g( ) 4, find f(7) g (7).
4 Math 0 Common Final Review Questions For problems 0, find the inverse of the given function. 0. f ( ) 9 1. f ( ). f ( ) 4 6. Solve Solve Describe three methods used to graph linear functions. 6. Graph 7.Graph 4 1
5 Math 0 Common Final Review Questions 8. Graph 6 9.Graph or f( ). 0. For linear equations in variables, what are the following forms: a. Standard b. Slope-Intercept c. Point-Slope 1. Find the equation of a line passing through points (-,) and (1,-4). Write our final answer in slope-intercept form and standard form.. Write the equation of a line passing through (,1) and parallel to the line with equation. Write our final answer in slope intercept form.
6 Math 0 Common Final Review Questions. Solve the sstem of equations using the graphing method Solve the sstem of equations using the elimination (ie addition) method Graph Graph
7 Math 0 Common Final Review Questions 7. Simplif. Use positive eponents in the reduced answer. 7 ( ) ( ) ( ) (1 ) 4 8. What is needed when adding or subtracting rational epressions? Perform the indicated operations and simplif if necessar (a 7 b ) 41. What is the first step when dividing rational epressions? 4. Perform the indicated operation and simplif if necessar. a 6ab 9b a b 4a 6b 1a 4ab
8 Solve the following equations b factoring. Math 0 Common Final Review Questions Solve using the method of our choice. 4. ( ) Solve the following equations for. If the solutions are comple, write them in a bi form: ( 1) Solve problems 8 and state the solution in interval notation
9 Math 0 Common Final Review Questions. f ( ) verte -intercept(s) - -intercept equation ais of smmetr ( ) verte -intercept(s) -intercept - equation ais of smmetr - Solve the following equations for :
10 Math 0 Common Final Review Questions 61. Assume all variables represent positive real numbers. Simplif and rationalize the denominator in the epression 4t u Write the following epression without using negative eponents Simplif the following comple fractions k k 4 4k If 4, evaluate the epression. Leave the answer in eponential form with positive eponents. Solve the following equations. Round the answer to the nearest hundredth e
11 Math 0 Common Final Review Questions Rewrite epression as a single logarithm 70. log log 71. ln ln Write each logarithm as a sum and/or difference of logarithms: 7. log ( ab ) 7. ln e Solve the following equations for : 74. log 6 ( 1) 7. log 76. Using a calculator, approimate the following values to decimal places a) ln6 b) log c) 77. If a ship leaves port and sails east 6.7 miles and then turns south and sails for.9 miles, how far is the ship from port? Round the answer to the nearest tenth of a mile.
12 Math 0 Common Final Review Questions 78. Solve the given triangle. Round each answer to the nearest tenth of a unit. B 6.0 cm 17.0 cm C b A 79. Use a calculator to find the value of to the nearest tenth of a degree. in. 6.9 in. 80. Find the eact values for a and c in the following figures. a.) b.) a ft c 4 a c 0 7 mm
Last modified Spring 2016
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