MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The distance that an object falls when it is dropped is directly proportional to the square of the 1) . amount of time since it was dropped. An object falls 88.2 meters in 3 seconds. Find the distance the object falls in 5 seconds. A) 15 meters B) 49 meters C) 147 meters D) 245 meters 2) The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and 2) has a pH of 7. The pH of a solution is given by pH = - log x where x represents the concentration of the hydrogen ions in the solution in moles per liter. Find the hydrogen ion concentration if the pH = 3.4. A) 3.98 x 10-4 B) 2.51 x 10-3 C) 3.98 x 10-3 D) 2.51 x 10-4 3) The function f(x) = 600(O.5)X/50 models the amount in pounds of a particular radioactive material 3.) v stored in a concrete vault, where x is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 30 years. Round to the nearest whole number. A) 500 pounds B) 396 pounds C) 180 pounds D) 189 Does the graph represent a function that has an inverse function? 4)2: Q Q N "epqgo 9": 5'4" 5) 1 X N @ 6) f(x) =x3 - 7x2+ 8x- 2 A) {II '1/ B 1,6 2,6h z C){1,3+W,s-fi} H Hf Write the equation in its equivalent exponential form. 7) logb 216 =3 A) 2163 = b B) 216b = 3 C) ab = 216 Solve the logarithmic equation. Be sure to re expressions. Give the exact answer. 8) 2 ln (8x) = 14 A) {e 7'8} B) {e7} C' 8 ject any value that is notinthe d' mJJ-'iiiiiil'e n'v'tgiwzi' "gnufiihhw 9) log (x + 4) = log (4x - 5) 1 A) B) {. 3} C) {3} 10)log2(x + 1) + log2 (x - 5) = 4 ' A) {7} B) {7, -3} C) its) 11) log5 (x+2) =-2 ' A) {- gig} B) ; YI , Vr'rite the equation in its equivalent logarithmic form 12) 83 2 y A) Iogy 8 = 3 BI) legs 3 eaA) log6 7+10g6 5 C) log6 5 - log6 7 18) logb (yzB) A) 8 Iogb y + 8 logb 2 C) 8 logb yz 19) Iog6 x8 A)6logx B)6log8x r Q ' 1 m fi Use the compound mterest formulas A = {1 +-' ad is f z:.e,-!*a;: mw: ; n 20) Find the accumulated value of an investme'flfi di? iiflmli AV ' A) $9361.91 B) $8960.00 ' 21) Find the accumulated value ofanmvestmetfl' iii I'm-"Ul! iv " '-' ' ' A) $1350.61 B) $1776.0.0Evaluate or simplify the expression without using a calculator. 22) In e11 1 A)-1-1- B)1 C)e 23)1n 1 A) 0 B) -1 Find the inverse of the one-to-one function. 24)f(x)= 2x+3 7 2x+3 7x-3 2 7x+3 A) f-1(x) = 2 B) f-1(x) = C) f"1(x) = Solve the exponential equation' Use a calculator to obtain a decimal approximation, content fly t' " ' solution. 25)ex+3=7 A) 0.70 B) 2.30 C) -1.05 26) 4>< = 20 A) 4.15 B) 2.16 C) 0:46 Find the vertical asymptotes, if any, of the graph of the rational : 2. T'. f 27) f(x) = x(xx+ 5) A)x=-5 C)x=0andx=5 Divide using synthetic division. 28) (x4 + 525) + (x ; 5) 125 ' A) x3-5x2+25x-125+ x; C) x3+5x2+25x+ 125+ ''a V graph of an exponential function is given. Select the function for the graph from the functions listed. 29) 29) -,.' B) f(x) = - 5x C) f(x) = 5x D) f(x) = - 5-x garithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. 30) log x + log 9 30) .-... A) log; B) log (x + 9) C) (log x)(log 9) D) log 9x 31) 10g4 (x - 1) - log4 (x + 3) 31) A) log4 (x2+2x-3) B)10g4 C) Iog4 -4 D) log4 Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places IL 32) log26 342 ' A) 0.5584 B) 1.1191 C) 1.7909 D) 3.9490 i Solve. J 33) If the voltage, V, in an electric circuit is held constant, the current, I, is inversely prop "ting. 2; w " a' resistance, R. If the current is 360 milliamperes when the resistance is 3 ohms, ' when the resistance is 18 ohms. A) 2160 milliamperes C) 2154 milliamperes