96sample3

96sample3 - the following equations have solutions that are...

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March 30, 2011 Math 96 - Sample Test 3 Name____________________ Solve. 1) 4x + 3 = 7 Answer: 4 2) x = x + 13 + 7 Answer: 12 Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. The legs of the right triangle are represented by a and b, and the hypotenuse is represented by c. 3) a = 10, b = 24 Answer: c = 26 Find the missing length(s) in the right triangle. If necessary, round to the nearest tenth. 4) c 17 cm b Answer: b = 29.4 cm; c = 34 cm Find the distance between the pair of points. Give your answer in exact form and where appropriate find an approximation to three decimal places. 5) ( - 5, 2) and (0, 14) Answer: 13 Perform the indicated operation and simplify. Write the answer in the form a + bi. 6) (14 + 7i) - (2 + 3i) Answer: 12 + 4i 7) (5 - 2i)(7 + 3i) Answer: 41 + 1i 8) 5 - 5i 5 + 2i Answer: 15 29 - 35 29 i Find the power of i. 9) (2i) 4 Answer: 16 Solve by completing the square. 10) 2x 2 + 7x + 3 = 0 Answer: - 3, - 1 2 Solve. 11) x 2 - 8x + 65 = 0 Answer: 4 ± 7i Use the discriminant to determine whether
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Unformatted text preview: the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. 12) v 2- 2v- 6 = Answer: Two different irrational solutions Write a quadratic equation having the given numbers as solutions. 13) 5 3 ,- 6 5 Answer: 15x 2- 7x- 30 = 14) 9- 5 , 9 + 5 Answer: x 2- 18x + 76 = Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers. 15) A = 1 3 π r 2 for r Answer: r = 3A π 16) rm = t 2- mt, for t Answer: t = m ± m 2 + 4rm 2 Solve. 17) (k + 4) 2/3 + 6(k + 4) 1/3 + 8 = Answer:-12,-68 18) x 4- 12x 2 + 27 = Answer: ± 3, ± 3...
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