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Math 96 Test 3 Review - Test#3 Review This review is only...

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Unformatted text preview: Test #3 Review This review is only meant to help you get some extra practice with the problems covered in class and assigned as homework. You will only be tested on material covered in class and on the homework. Be sure to also review the homework problems as these review problems are not an exhaustive list of the type you will see on the test. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1) 3x + 1 — 3 = O 1) 2)«/2x+7+9=0 2) 3) «’5x—3=«/x+9 3) Perform the indicated operation. Write the result in the form a + bi. 4) (6 + 41) — (—2 + i) 4) 5) (12 — 4i)(3 + i) 5) 6) (8 + 51)2 6) 9 + 5i 7 7 ) 6 + 8i ) Find the power of i. 8) 114 8) Use the square root property to solve the equation. 9) (x — 2)2 = 25 9) Solve the equation by completing the square. 10)x2+4x—21=0 10) Use the quadratic formula to solve the equation. 11) 4x2:—12x—3 11) 12) 8x2 + 1 = 5x 12) Use the discriminant to determine the number and type of solutions of the equation. 13)x2+4x+6=0 13) Solve. 14) A ball is thrown upward with an initial velocity of 28 meters per second from a cliff that is 70 meters high. The height of the ball is given by the quadratic equation h : —4.9t2 + 28t + 70 where h is in meters and t is the time in seconds since the ball was thrown. Find the time it takes the ball to hit the ground. Round your answer to the nearest tenth of a second. Use the discriminant to determine the number and type of solutions of the equation. 15)x2+4x+6:0 Solve. 16)E+ 7 x =1 x-9 17)x4—9x2_400=0 18) x2/3 — 2x1/3 — 3 = 0 19) Shelly can cut a lawn with a riding mower in 3 hours less time than it takes William to cut the lawn with a push mower. If they can cut the lawn in 3 hours working together find how long to the nearest tenth of an hour it takes for William to cut the lawn alone. Solve the inequality. Graph the solution set and write the solution set in interval notation. 20) (x+ 1)(x — 5) 50 (—l—F-‘l—l—H—I—t—i—i—t—l—H—I—i—I—l—l—i—l» -10-9-8—7-6—5-4~3-2-101234 5 6 7 8 910 21)x2+6x+520 HH—l—H—l—H—l—t—HW—f—f-i—l—F—H ~10—9-8-7—6-5—4-3»2-1 O I 2 3 4 5 6 7 8 910 14) 15) 16) 17) 18) 19) 20) 21) Answer Key Testnarne: MATH 96 MG TEST 3 REVIEW 1)—8— 12) 5 - 1J7" 5 + 1J7" 16 ' 16 13) two complex but not real solutions 14) 7.6 seconds 15) two complex but not real solutions 16)9—3J§,9+3W 17) —5, 5, —4i, 41 18) -1, 27 19) 7.9 hours 20) [—1, 5] H—l‘fi—l—‘l—fi—l—l—‘l—H-i-l-J—I-i—l—l—Hfi -10-9-8-7-6-5-4-3-2-1012 3 4 5 6 7 8 910 21) (—oo, —5] U [-1, cc) -10-9-8-7-6-5-4«3-2-1012 3 4 5 6 7 8 910 ...
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