College Algebra Test Packet

College Algebra Test Packet - (1) Your local Apple Store is...

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Unformatted text preview: (1) Your local Apple Store is having a sale on iPads. After a 25% reduction, you purchase an iPad for $465. What was the price before the discount? (a) $581.25 (b) $1860 (c) $620 (d) $835 (2) Divide and express the result in standard form: 10 i 3- i (a)- 10 + 10 3 i (b)- 1 + 3 i (c) 1 + 3 i (d)- 5 4 + 15 4 i (3) Solve the quadratic equation: 6 x 2- 18 x- 60 = 0 (a) { 5 ,- 2 } (b) {- 3+ i 31 2 ,- 3- i 31 2 } (c) {- 5 , 2 } (d) { 3+ i 31 2 , 3- i 31 2 } (4) Solve the following absolute value inequality and use interval notation to express the solution set. | 2 x- 6 | < 8 (a) (- ,- 1) (7 , + ) (b) (- 1 , 7) (c) [- 1 , 7] (d) (- ,- 1) (7 , + ) (5) A rectangular swimming pool is three times as long as its wide. If the perimeter of the swimming pool is 480 feet, what are its dimensions? (a) w = 180 ,l = 60 (b) w = 50 ,l = 150 (c) w = 60 ,l = 180 (d) w = 45 ,l = 135 (6) Write an equation of the line passing through (5 ,- 9) and perpendicular to the line whose equation is x + 7 y- 12 = 0. (a) y = 7 x- 44 (b) y = 7 x- 26 (c) y =- 1 7 + 9 1 2 (d) y =- 7 x + 44 (7) Find f g , if f ( x ) = x x +1 and g ( x ) = 4 x . (a) f g = 4 4+ x (b) f g = 4 x +1 (c) f g = 4 x +1 (d) f g = 4 4+ x (8) Find an equation for f- 1 ( x ), the inverse function, for f ( x ) = 2 x + 1 x- 3 (a) x- 2 3 x +1 (b) 3 x +1 x- 2 (c) x- 3 2 x +1 (d) 2 x- 3 x- 1 (9) The function f ( x ) = x 2- 2 x + 4 is: (a) Odd (b) Even (c) Neither even, nor odd (d) Both even and odd (10) If f ( x ) = x 2 , find f ( x 2 )- f ( x 1 ) x 2- x 1 where x 1 = 1 ,x 2 = 4. (a) 0 (b) undefined (c) 3 (d) 4 (11) The bus fare in a city is $1 . 50. People who use the bus have the option of purchasing a monthly coupon book for $25 . 00. With the coupon book, the fare is reduced to $0 . 50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book. (a) 20 (b) 25 (c) -25 (d) 15 (e) None of the above. (12) Evaluate x 2- x for x = 1 + i and select the answer from the following. (a) 2(1 + i ) (b) (1 + i ) 2 (c)- 1 + i (d) 1 + i 2 (e)- 1- i 3 (13) Determine the solution set for the quadratic equation given by (4 x + 9) 2 = 49. (a) {- 1 2 , 8 } (b) { 2 ,- 8 } (c) {- 1 2 ,- 8 } (d) {- 8 , 8 } (14) An elevator at a construction site has a maximum capacity of 1350 pounds. If the elevator operator weighs 175 pounds and each cement bag weighs 45 pounds, how many bags of cement can be safely lifted on the elevator in one trip? (a) 27 bags (b) 26 bags (c) 30 bags (d) 29 bags (e) More than 28 bags (15) The bus fare in a city is $1 . 50. People who use the bus have the option of purchasing a monthly coupon book for $25 . 00. With the coupon book, the fare is reduced to $0 . 50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book....
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This document was uploaded on 10/27/2011 for the course MATH 1420 at Texas Tech.

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College Algebra Test Packet - (1) Your local Apple Store is...

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