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LESSON NAME _________________________________________________________ DATE ___________ 12.3 Practice B For use with pages 722–728 Solve the equation. Check for extraneous solutions. 1. x 5 0 2. x 6 0 3. 5x 2 3 4. 3x 4 1 11 5. 9 x 4 2 6. 2x 1 4 3 13 x 2 8 x 10. 2 6 32 x 5 10 8 4x 11. 9 3 5 2 4 2 14. x 3 5 5 5 12. 5 16. x 12 x 17. x 2x 3 18. x 8 2x 19. x 3x 2 20. x 24 5x 21. x 6x 8 22. x 9x 14 23. 2x 16x 15 24. 2x 8x 4 25. 4x 2x 5 26. 7. 13. 4 2x 3 5 8. 1 x 8 x 2 9. 5 4x 3 3 4x3 2 0 15. 6 7x 3 6 27. 1 x 2x 4 2 Two numbers and their geometric mean are given. Find the value of a. 28. 8 and a; 16 29. 3 and a; 15 A marketing department determines that the price of a magazine subscription and the demand to subscribe are related by the equation Lesson 12.3 31. Market Research P 52 0.0002x 1 where P is the price per subscription and x is the number of subscriptions sold. If the subscription price is set at $30, how many subscriptions would be sold? 30. 9 and a; 6 32. Free Falling Velocity The velocity v of a free falling object, the height h in which it falls, and the acceleration due to gravity g (32 feet per second squared) are related by the equation v 2gh. Find the height from which a penny was dropped if it strikes the ground with a velocity of 30 feet per second. 33. Oriental Fan The area A of a portion of a circle bounded by two radii r and angle of a sector of a circle are related by the equation r 2A . 2 3 r The length of a side (radius) of an Oriental fan is 12 inches 2 and it opens through the angle . Find the area of the 3 fully-opened fan. 34. If the side length of the fan in Exercises 33 is only 6 inches, is the area half the area of the fan with side length 12 inches? Explain. 42 Algebra 1 Chapter 12 Resource Book Copyright © McDougal Littell Inc. All rights reserved.