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College Algebra Test Packet

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

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(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 it’s wide. If the perimeter of the swimming pool is 480 feet, what are its dimensions? (6) Write an equation of the line passing through (5 , - 9) and perpendicular to the line whose equation is x + 7 y - 12 = 0. 1

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2 (7) Find f g , if f ( x ) = x x +1 and g ( x ) = 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: (10) If f ( x ) = x 2 , find f ( x 2 ) - f ( x 1 ) x 2 - x 1 where x 1 = 1 , x 2 = 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. (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. (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? (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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College Algebra Test Packet - (1 Your local Apple Store is...

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