Simplify each expression. 1 ) ( 4n + 5 + 5n3) + (6n+ 3-n3) - (8n2 +n) 2 ) ( 2 x 2 + 2x3 + 5 ) + (7 + x+ 4x3) - (4x+ 8x3) Find each product. 3 ) ( 6m + 3 ) ( 7m + 7 ) 4) (8r + 1)(2r -6) Divide. 5) (n' - n2 - 3n - 2) = (n-3) 6) ( n' + 4n2 + 4n+55) : (n+5) 7) (13 + 3/2 - 38k- 11) : (1-5) Evaluate each function. 8) g(n) = 3n + 1; Find g(-2) 9 ) f (x ) = - 2x - 2; Find f (5) 10) f(a) = a2 + 4; Find f(9) Perform the indicated operation. 11) g(xx) =x3-3x2 12) g(x) = 2x+4 h(x) = 2x+1 h(x) = 4x + 2 Find 5g(x) + 5h(x) Find g(x) : h(x) 23) 13 ) h(x ) = x2+ 3x g (x) = 2x+ 3 Find h(g(x))Find the inverse of each function. 14) f (xx) = -- 4 - + 2 4 -x-1 15) g(n) = - 2 n + 3 16) f (n ) = Vn - 3 Simplify. 17 ) 5V/6 (5V/2 + 3 ) 18) V15(21/6 -2V10) Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator. ( v2 2 ) 3 Nju 19) 1 - NIW v2 . NI- uv 20) 1 1 each expression. 4 4 92 - 72 8-8 2+ 62-40 30) 2-10* +2410 W / - n -2 . min 21) WIP 32)- Solve each equation. Remember to check for extraneous solutions. 22) 15 = 9 + Vn+9 23) 0 = V/32k +4-10 Identify the domain and range of each. Then sketch the graph. 24) y = Vx+2 25) y=2Vx-126) y = 2 x +4 Identify the vertical asymptotes, horizontal asymptote, domain, and range of each. Then sketch the graph. 27 ) f ( x ) = - - 1 + 2 28 ) f ( x ) = =+1 x + 4 X Ay Simplify each expression. 9k - 72 k- 8 x+ 6x - 40 9 29) 30) 9 7 x2 - 10x + 24 x+10 38) 10 6a 31) x' + 10x +24 32) + W / A x +4 x+9 3a2 - 15a 40) fox, ( 6) 5 3 5 6n 33 + 34) n + 6 n - 6 10n + 6n 3nSketch the graph of each function. 35) y= 2. 2*-2 -1 x+2 36) y = 2. W / H + 1 20 king why -2 $ x -8 -6 -4 - 2 2 the probability of each evers. Rewrite each equation in exponential form. 50) A gimli pond co two bluegill Ise 37) log, 343 = 3 Songs. What 1 ven listened to Your 38) 108 4 64 - = -3 vorite song : and your lever favorit Expand each logarithm. 39) 10g6 (125 ) 40) log, (a$63) 41) log6 (x . y . z2) Solve each equation. 42) 10g 20 (46 + 10) = 10g 20 18 43) log (5x - 9) = log 2xRepresent the sample space using set notation. 44) A pizza stand offers hand-tossed, pan, and 45) A sandwich shop has four types of thin-crust pizza. sandwiches: ham, turkey, chicken, and PB&J. State if each scenario involves a permutation or a combination. Then find the number of possibilities. 46) A group of 24 people need to take an 47) A group of 40 people are going to run a elevator to the top floor. They will go in race. The top three runners earn gold, groups of eight. They are deciding who silver, and bronze medals. will take the elevator on its second trip. 48) Selecting which seven players will be in the batting order on a 9 person team. Find the probability of each event. 49) There are nine songs on your playlist. 50) A small pond contains seven catfish and With random shuffle and no repetition, two bluegill. If seven fish are caught at you listen to two songs. What is the random, what is the probability that all of probability that you listened to your them are catfish? favorite song first and your least favorite song second