Final Exam Practice: Part II Math MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question.

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Molly Robbins
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1 MULTIPLE CHOICE Choose the one alternative that best copletes the stateent or answers the question. 1) Solve for y: y y 0 D) 4 9 ) Solve for : 0, 0 D) ) To Quig traveled 80 iles east of St. Louis. For ost of the trip he averaged 0 ph, but for one period of tie he was slowed to 0 ph due to a ajor accident. If the total tie of travel was hours, how any iles did he drive at the reduced speed? 0 iles 40 iles iles D) 0 iles 4) Frank can type a report in hours and Jaes takes hours. How long will it take the two of the typing together? 10 hr 1 1 hr 4 1 hr 10 D) hr Write with radials. Assue that all variables represent positive real nubers. ) 1 py py py py D) py Siplify by first converting to rational eponents. Assue that all variables represent positive real nubers. ) s s s 10 s s D) s Use the rule of eponents to siplify the epression. Assue that all variables represent positive real nubers. ) 1 y y y y D) 1 y 1

2 Epress the radial in siplified for. 8) 108 D) 10 9) 48 D) 0) y y y y D) y Epress the radical in siplified for. Assue that all variables represent positive real nuber 1) a b 8 ab a b a b ab a b D) ab a b Siplify by first writing the radicals with the sae inde. Then ultiply. ) D) 108 Siplify. Assue that all variables represent positive real nubers. ) D) 4) p p p p p Cannot be siplified p p D) ) D) ) D) 8 10 ) D)

3 Rationalize the denoinator. Assue that all variables represent positive real nubers. 8) 9) 10 0) Solve for : ) Solve for : D) 8 D) 1 9 D) D) 9 ) Solve for : 9,18 9,9 D) ) Solve for : 1 4 1,8 D), 8 Siplify. Write your answer in the for a + bi. 4) 9i 4 i 1 1i 9 i 9 i D) 9 i ) 8 i i i 8 1i 8 10i 4 i D) 4 10i ) i 9i i i i i i D) i ) 8i i 1i 4i 1 1 4i 1 4i D) 1 4i 8) 4 i i i i i D) i

4 Find the power of i. 9) 80) 18 i i i 1 D) 1 19 i i i 1 D) 1 81) Solve for y: y, D) 8) Solve for : 4 0 1, 9 4, 4 4 i, 4 i D), 8) Solve for z: z 18z 0 9 9, 9 9,9 D) 18 84) Solve for p: p p9 0,, D) 8) Solve for n: n 1n 4 4, , D) 0 0, , 8) Solve for : i 9 9 i 9, , D) 9 i 9 9 i 9, , 10 10

5 8) Solve for : , 11, 88) Solve for :, 11 D) 11, , 9, 9, 80 4,,, 4, 4 D) 9, 80 89) Solve for c: E c E c c E E c D) c E Find the verte of the parabola with vertical ais of syetry. y 90),,, D), 91) y 18,,, D), Find the verte of the parabola with horizontal ais of syetry. 9) y y 8 1, 4 4, 0 4, D) 0, 9) The area of a square is 81 c. If the sae aount is added to one diension and reoved fro the other, the resulting rectangle has an area 9 c less than the area of the square. How uch is added and subtracted? Cannot be deterined without additional inforation c 4 c D) 9 c 94) Choose the equation that atches the graph. y 1 4 y 1 4 y 1 4 D) y 1 4

6 9) A projectile is thrown upward so that its distance above the ground after t seconds is given by the quadratic function below. After how any seconds does it reach its aiu height? h( t) 1t 494t 9 seconds 19 seconds 8 seconds D) 8. seconds Use the graph of the quadratic function to find the inequality. Write your solution in interval notation. 9) 918 0,,,, D),, Solve the quadratic inequality. Write your solution in interval notation. 9) 81 0,,,, D),, 98) Graph the function. f ( )

7 Evaluate the coposition of functions. 99) Let f and g( ) 4 ( ). Find g f 10 D) ) Let f ( ) and g( ). Find f g4 9 0 D) Find f g for the given functions f () and g(). 101) f ( ) and g ( ) D) Graph the given function as a solid curve and its inverse as a dashed curve, on the sae set of aes. 10) f ( )

8 Graph the eponential function. 10) f( ) 104) 1 f( ) 8

9 10) Solve for : D) 1 10) Solve for : ) Solve for : D) D) 1 Write in logarithic for. 108) 8 log 8 Write in eponential for. log log 8 D) 8 log ) log D) log 110) D) ) log D) 10 Use the change-of-base rule (with either coon or natural logariths) to find the given logarith. Approiate to three decial places. 11) log D) 1. 11) log D) 0.4 9

10 Graph the given logarithic function. 114) f ( ) log 11) f ( ) log 1 10

11 Epress the given logarith as a su and/or difference of logariths. Siplify, if possible. Assue that all variables represent positive real nubers. 1 11) log n 1 log n log 1 log log 1 log log n 1 log 1 log log n 1 D) log 1 log n y 11) log 1 log 1 log 1 y log 1 log 1 log y log log 1 log 1 y log log y log D) Epress the given epression as a single logarith. Assue that all variables are defined in such a way that variable epressions are positive and bases are positive nuber not equal to ) log log n log log c n log n log n D) log n log ) log log log 1 log 11 9 log D) log Solve the equation. Give final answers to three decial places (do not use decials until the final answer) 10) Solve for : D) ) Solve for : D).8 1) Solve for : 0.41 e D).10

12 Solve the equation. Give the eact solution(s). 1) Solve for : log 4 4 log 4 4 D) 0 14) Solve for : log log 1 D), Solve the proble. 1) Find the aount of oney in an account after years if $400 is deposited at % annual interest copounded quarterly. Round your answer to two decial places. $,8.99 $, $,840.4 D) $,.9 1) $000 is invested at % copounded quarterly. In how any years will the account have grown to $8000? Round your answer to one decial place. 1. years.8 years. years D) 19. years 1) What will be the aount in an account with initial principal $000 if interest is copounded continuously at an annual rate of.% for years? Round your answer to two decial places. $, $10,08.4 $,. D) $, ) How long would it take $8000 to grow to $,000 at % copounded continuously? Round your answer to one decial place. 0.0 years 19.8 years. years D) 0.4 years 1

13 PART II: ANSWERS 1) D ) C ) B 4) C ) A ) B ) A 8) B 9) D 0) B 1) B ) A ) D 4) C ) D ) D ) A 8) C 9) A 0) B 1) A ) B ) C 4) B ) B ) C ) C 8) D 9) D 80) A 81) A 8) B 8) B 84) C 8) D 8) A 8) C 88) A 89) A 90) D 91) C 9) A 9) B 94) C 9) B 9) C 9) B 98) C 99) D 100) B 101) A 10) C 10) B 104) B 10) B 10) A 10) D 108) D 109) D 110) C 111) C 11) C 11) D 114) D 11) B 11) C 11) D 118) D 119) B 10) D 11) A 1) D 1) A 14) D 1) A 1) C 1) B 18) B 1

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