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1 MTH 65 Winter Term 009 Final Eam Given March 18 Calculator allowed portion Name 1. Use the quadratic formula to solve the equation completely simplify your solutions and that you clearly state your solutions. =. Make sure that you. Solve each equation using whatever method you desire. Make sure that you completely simplify your solutions and that you clearly state your solutions. a. Solve 6 + 9= 0. b. Solve ( t 3) t( t 7) + = +.
2 Mr. Simonds MTH 65 Winter Term 009 Final Eam 3. Solve each system of equations using the specified methods. Make sure that you clearly state your solutions. a. Use the addition (elimination) method to solve system + 5y = y = y = 4 b. Use the substitution method to solve the system = 4y 8 Page of 8
3 Mr. Simonds MTH 65 Winter Term 009 Final Eam 4. Jennifer bungee jumps off of a bridge eactly 500 ft above a river. The length of the cord strapped around Jennifer s feet is 80 feet (before stretching). While she is in free fall the height (ft) above the ground of Jennifer s feet t seconds after she jumps is given by the function ht ( ) = t. a. How high above the river are Jennifer s feet when the cord begins to stretch (assuming she is directly below the point at which she jumped when the cord begins to stretch). b. How long (to the nearest 100 th of a second) is Jennifer in free fall? That is, how long does it take after Jennifer jumps before the cord begins to stretch? 5. There are two different numbers that when squared are 6 more than the original number. Write an equation that models this situation, solve the equation, and state the two numbers. Page 3 of 8
4 Mr. Simonds MTH 65 Winter Term 009 Final Eam 5. Completely factor each epression showing work in the manner illustrated in class. a. Factor b. Factor 0t 8t Gumballs cost 16 cents apiece and gummy worms cost 19 cents apiece. Yoshi bought a total of 60 of these gum objects and spent a total $10.9. Let represent the number of gumballs Yoshi bought and y represent the number of gummy worms Yoshi bought. Write a system of two equations in terms of and y that models this situation, solve the system, and state the contetual solution. Page 4 of 8
5 Mr. Simonds MTH 65 Winter Term 009 Final Eam MTH 65 Winter Term 009 Final Eam Given March 18 No calculator allowed portion Name 1. Write each requested bit of information in the provided blank. Do all of your work on the provided scratch paper. These questions will be marked right or wrong. a. Epand and simplify ( 3)( 7) +. a. b. Epand and simplify ( 1)( 4) +. b. c. Epand and simplify ( 5w 3)( 5w 3) +. c. d. Epand and simplify ( 1+ y). d. e. Completely factor 4 1. e. f. Completely factor f. g. Completely factor 4 + 9y. g. h. Completely factor w 14 w+ 49. h. i. Completely factor + 4y+ 4y. i. Page 5 of 8
6 Mr. Simonds MTH 65 Winter Term 009 Final Eam. Write each requested bit of information in the provided blank. Do all of your work on the provided scratch paper. These questions will be marked right or wrong. Make sure that none of your answers contain negative eponents. a. Completely simplify a. b. Completely simplify y 7. b. 3 y ( 4 ) 3 c. Completely simplify 8. c. d. Completely simplify 94. d. e. Completely simplify 88. e. f. State all solutions to ( + 1) = 4. f. g. State all solutions to + 9= 0. g. h. What is the linear coefficient in 4 + 7? h. i. What is the degree of the term 9 6 y z? i. Page 6 of 8
7 Mr. Simonds MTH 65 Winter Term 009 Final Eam 3. Consider the function f shown in Figure 1. a. State the domain and range of f. Figure 1 b. State (using an equation) the value of f ( ). 4. Find the value of g ( 3) is g( t) t = 9. Make sure that you show the work the way it was illustrated and discussed in class, 5. Completely simplify each epression showing steps organized in a manner consistent with that illustrated and discussed during class. a. Simplify 4 y y b. Simplify Page 7 of 8
8 Mr. Simonds MTH 65 Winter Term 009 Final Eam 6. State (in the provided blanks) the verte and intercepts of the parabola y = Then fill into the table 9 ordered pairs that clearly illustrate the symmetry of the parabola. Finally, graph the parabola onto the provided aes making sure that you give appropriate consideration to the placement of the aes and the scale to use on each ais. Verte: y-intercept: -intercepts: y Page 8 of 8
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44 Section - 9 GRAPHS In this section, we will discuss graphs and graph-plotting in more detail. Detailed graph plotting also requires a knowledge of derivatives. Here, we will be discussing some general
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