Math098 Practice Final Test


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1 Math098 Practice Final Test Find an equation of the line that contains the points listed in the table. 1) Find an equation of the line. 2) Solve. 3) 2 = Find the intercept and intercept, then graph the equation. 4) 36 =
2 Solve the problem. ) Some values for a relation are given in the table. Is the relation a function? Use the graph of the function to determine the function's domain and range. 6) Find an equation of the line that has the given slope and contains the given point. If possible, write our equation in slopeintercept form. 7) m = 6 ; (2, 3) 7 8) m = 0; (3, 7) Find the equation of the line that passes through the two given points. If possible, write our equation in slopeintercept form. 9) (1, 16) and (3, 20) Find an equation of the line that contains the given point and is parallel to the given line. If possible, write our equation in slopeintercept form. 10) (7, 17), = 137 Find an equation of the line that contains the given point and is perpendicular to the given line. If possible, write our equation in slopeintercept form. 11) (, 2), =
3 Solve the problem. 12) Attendance has been increasing for a minor league hocke team as the have had more success. The percentage of the seats filled in different ears is given in the table. Let p be the percentage of seats filled each ear that is t ears since p = 2.31t can be used to model the data. Year Percentage of seats filled Predict the percentage of seats filled in Solve the inequalit and epress the solution set in interval notation. Graph the solution set on the real number line. 13) < 31 14) )  3(1  ) 10 Solve the inequalit. Describe the solution set as an inequalit, in interval notation, and in a graph. 16) Find the solution set of the sstem b graphing the equations b hand. If the sstem is inconsistent or dependent, sa so. 17) + = 34 =
4 Solve the sstem b substitution. If the sstem is inconsistent or dependent, sa so. 18) 2 + = = 21 Solve the sstem b elimination. If the sstem is inconsistent or dependent, sa so. 19) = = 24 Solve the sstem b either elimination or substitution. Verif our work b using "intersect" on our graphing calculator of b checking that our result satisfies both equations of the sstem. 20) = = 2 Solve the problem. 21) A theatre sells two tpes of tickets to their plas; children's tickets and adult tickets. For toda's performance the have sold a total of 1370 tickets. Also, the have sold 4 times as man adult tickets as children's tickets. How man adult tickets have the sold? 22) Jancie has $140,000 to invest to obtain annual income. She wants some of it invested in safe Certificates of Deposit ielding %. The rest she wants to invest in AA bonds ielding 11% per ear. How much should she invest in each to realize eactl $13,000 per ear? Perform the addition or subtraction. 23) ( )  ( ) Find the function value. 24) If f() = , find f().
5 Solve the problem. 2) The graph of f is sketched in the figure below. i) Find f(3). ii) Find a when f(a) =. iii) Find a when f(a) = 4. iv) Find a when f(a) = Find the product. 26) 7 2 ( ) 27) (3  m)(  m) 28) (  9)( ) Find the requested product. 29) f() = +, g() =  11 Find (f g)() and (f g)(12). Simplif. 30) (3b 2 )(8b 6 ) 31) (29 8 z  ) 3 32) Evaluate as specified. 33) For f() = 3(2), find f(3). 34) For f() = 1 3, find f(3).
6 3) For f() = 32, find f 7. Sketch the graph of the given function. 36) = A graph of a function of the form = ab is given. What can ou conclude about the constants a and b? 37) The table lists some inputoutput pairs for an eponential function f. Use the table to find the requested value. 38) Find when f() = 2. f() Find the indicated value. 39) Let f() = Find f(1). 40) Let f() = 2. Find when f() = 1 4. Find all realnumber solutions. Round our answer to the second decimal place, if necessar. 41) b 4 = 62
7 42) b7 b 3 = 26 Find an approimate equation = ab of the eponential curve that contains the given pair of points. Round the values of a and/or b to two decimal places, if necessar. 43) (0, 4) and (3, 67) Find the logarithm. 44) log 3 ( 3) 4) log ( 1 12 ) 46) log 2 (log 2 (16)) Evaluate. 47) Let g() = 2. Find g 1 (16) 48) Let f() = log 3 (). Find f 1 (2) Solve. 49) log () = 4 0) log 4 ( + 2) = 1
8 Answer Ke Testname: 098_PRACTICE FINAL TEST 1) =  6 2) = ) 60 4) (4, 0), (0, 2) ) No 6) domain: all real numbers; range:  7) = ) = 7 9) = ) = ) = ) 79.29% of seats filled 13) < 7; (, 7) ) 6; [6, ) ) 4; (, 4] ) 4 ; [4, ] ) (6, 3) 18) infinite number of solutions of the equation 2 + = 7; dependent sstem 19) (6, 6) 20) 6, 4 21) 1096 adult tickets 22) $100,000 at 11% and $40,000 at % 23) ) 141
9 Answer Ke Testname: 098_PRACTICE FINAL TEST 2) i) f(3) = 3 ii) a = 1, iii) a = 2 iv) There is no such value. 26) ) m 28m ) ) (f g)() = ; (f g)(12) = 17 30) 24 b 8 31) 27 z ) ) ) ) ) ) a < 0, b > 1 38) 1 39) 6 40) 2 41) ± 42) ±4 43) = 4(2.6) 44) 1 2 4) 3 46) 2 47) 4 48) 9
10 Answer Ke Testname: 098_PRACTICE FINAL TEST 49) 10,000 0) 2
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