Practice - McGraw-Hill Higher Education
Practice - McGraw-Hill Higher Education Practice - McGraw-Hill Higher Education
NAME ______________________________________________ DATE______________ PERIOD _____9-2 PracticeSolving Quadratic Equations by GraphingSolve each equation by graphing.1. x 2 5x 6 0 2. w 2 6w 9 0 3. b 2 3b 4 0f(x)f(w)f (b)OxOwObSolve each equation by graphing. If integral roots cannot be found, estimate theroots by stating the consecutive integers between which the roots lie.4. p 2 4p 3 5. 2m 2 5 10m 6. 2v 2 8v 7f(p)f(m)f (v)OpOmOvNUMBER THEORY For Exercises 7 and 8, use thefollowing information.Two numbers have a sum of 2 and a product of 8. Thequadratic equation n 2 2n 8 0 can be used todetermine the two numbers.7. Graph the related function f(n) n 2 2n 8 anddetermine its x-intercepts.8. What are the two numbers?DESIGN For Exercises 9 and 10, use the followinginformation.A footbridge is suspended from a parabolic support. The function1h(x) x 2 9 represents the height in feet of the support above25the walkway, where x 0 represents the midpoint of the bridge.12f(n)O6h(x)126O 6 126nxCopyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.9. Graph the function and determine its x-intercepts.1210. What is the length of the walkway between the two supports?Chapter 9 16 Glencoe Algebra 1
9-3NAME______________________________________________ DATE______________ PERIOD _____PracticeSolving Quadratic Equations by Completing the SquareSolve each equation by taking the square root of each side. Round to the nearesttenth if necessary.1. b 2 14b 49 64 2. s 2 16s 64 100 3. h 2 8h 16 154. a 2 6a 9 27 5. p 2 20p 100 28 6. u 2 10u 25 90Find the value of c that makes each trinomial a perfect square.7. t 2 24t c 8. b 2 28b c 9. y 2 40y c10. m 2 3m c 11. g 2 9g c 12. v 2 v cSolve each equation by completing the square. Round to the nearest tenth ifnecessary.13. w 2 14w 24 0 14. p 2 12p 13 15. s 2 30s 56 2516. v 2 8v 9 0 17. t 2 10t 6 7 18. n 2 18n 50 9Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.19. 3u 2 15u 3 0 20. 4c 2 72 24c 21. 0.9a 2 5.4a 4 022. 0.4h 2 1 0.8h 0.2 23. x 2 11 x 10 0 24. x 2 3 x 2 02 24 2BUSINESS For Exercises 25 and 26, use the following information.Jaime owns a business making decorative boxes to store jewelry, mementos, and othervaluables. The function y x 2 50x 1800 models the profit y that Jaime has made inmonth x for the first two years of his business.25. Write an equation representing the month in which Jaime’s profit is $2400.26. Use completing the square to find out in which month Jaime’s profit is $2400.Lesson 9-327. PHYSICS From a height of 256 feet above a lake on a cliff, Mikaela throws a rock outover the lake. The height H of the rock t seconds after Mikaela throws it is representedby the equation H 16t 2 32t 256. To the nearest tenth of a second, how long doesit take the rock to reach the lake below? (Hint: Replace H with 0.)Chapter 9 23 Glencoe Algebra 1
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NAME ______________________________________________ DATE______________ PERIOD _____9-2 <strong>Practice</strong>Solving Quadratic Equations by GraphingSolve each equation by graphing.1. x 2 5x 6 0 2. w 2 6w 9 0 3. b 2 3b 4 0f(x)f(w)f (b)OxOwObSolve each equation by graphing. If integral roots cannot be found, estimate theroots by stating the consecutive integers between which the roots lie.4. p 2 4p 3 5. 2m 2 5 10m 6. 2v 2 8v 7f(p)f(m)f (v)OpOmOvNUMBER THEORY For Exercises 7 and 8, use thefollowing information.Two numbers have a sum of 2 and a product of 8. Thequadratic equation n 2 2n 8 0 can be used todetermine the two numbers.7. Graph the related function f(n) n 2 2n 8 anddetermine its x-intercepts.8. What are the two numbers?DESIGN For Exercises 9 and 10, use the followinginformation.A footbridge is suspended from a parabolic support. The function1h(x) x 2 9 represents the height in feet of the support above25the walkway, where x 0 represents the midpoint of the bridge.12f(n)O6h(x)126O 6 126nxCopyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.9. Graph the function and determine its x-intercepts.1210. What is the length of the walkway between the two supports?Chapter 9 16 Glencoe Algebra 1
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