Matched Problems Name College Algebra Section 1.6 Date

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Matched ProblemsCollege AlgebraSection 1.6NameDateDirections Each problem below is similar to the example with the same number in your textbook.After reading through an example in your textbook, or watching one of the videos of that example onMathTV, try the matched problem to check your progress in this section. You can use the QR code atthe right to view the videos for this section on your smart phone or tablet. If your smart device does nothave a camera, but can access the Internet, go to m.mathtv.com to view the videos for this worksheet.1. Give the two square roots of 36.2. Simplify this expression, if possible 3 !64 .3. Simplify this expression, if possible 25 .4. Simplify this expression, if possible 4 .5. Simplify this expression, if possible:5!1 .7. Assume all variables represent nonnegative numbersand simplify this expression as much as possible81a 4b8 .9. Assume all variables represent nonnegative numbersand simplify this expression as much as possible44 881a b .Copyright 2012 MathTV.com, Inc.All rights reserved. Created by Judy BarclayVideos at http://www.mathtv.com6. Simplify this expression, if possible4!16 .8. Assume all variables represent nonnegative numbers andsimplify this expression as much as possible38x 3 y 9 .10. Write this expression as a root and simplify, if possible192 .This worksheet may be printed and used for educationalpurposes only. It cannot be used for commercial purposeswithout the written consent of McKeague Textbooks, LLC.

Matched ProblemsCollege AlgebraSection 1.611. Write this expression as a root and simplify, ifpossible127 3)1214. Write this expression as a root and simplify, if possible1! 16 2#" 25 &% .15. Write this radical with a rational exponent andsimplify12. Write this expression as a root and simplify, if possible1possible !493Date!49 2 .13. Write this expression as a root and simplify, if(Name8x y .17. Simplify as much as possible16. Write this radical with a rational exponent and simplify43 932981a 4b8 .!18. Simplify as much as possible 8.! 16 19. Simplify as much as possible # &" 81 %'34.23.20. Assume all variables represent positive quantities and11simplify as much as possible x 2 ! x 4 .21. Assume all variables represent positive quantities and!simplify as much as possible ##"53 6y5 & .&%Copyright 2012 MathTV.com, Inc.All rights reserved. Created by Judy BarclayVideos at http://www.mathtv.com22. Assume all variables represent positive quantities and3simplify as much as possiblez42z3.This worksheet may be printed and used for educationalpurposes only. It cannot be used for commercial purposeswithout the written consent of McKeague Textbooks, LLC.

Matched ProblemsCollege AlgebraSection 1.623. Write25. Write27. Write31. WriteDate24. Simplify each expression:18 in simplified form.50x 2 y 3 in simplified form. Assume x, y 0 .5in simplified form.929. Rationalize the denominatorNamea.186b.6 1221c.5 5010d. 3 32526. Write28. Write52.48x 3 y 4in simplified form.7zCopyright 2012 MathTV.com, Inc.All rights reserved. Created by Judy BarclayVideos at http://www.mathtv.com354a 4b3 in simplified form.2in simplified form.330. Rationalize the denominator3 5x2y.32. Simplify the expression 7a 2b2 . Do not assume thevariables represent positive numbers.This worksheet may be printed and used for educationalpurposes only. It cannot be used for commercial purposeswithout the written consent of McKeague Textbooks, LLC.

Matched ProblemsCollege AlgebraSection 1.6NameDate33. Simplify the expression 25x 3 . Do not assume thevariables represent positive numbers.34. Simplify the expression x 2 10x 25 . Do notassume the variables represent positive numbers.35. Simplify the expression 2x 3 7x 2 . Do not assumethe variables represent positive numbers.36. Simplify37. Combine 3 5 2 5 4 5 .38. Combine 4 50 3 8 .()()41. Multiply(2 7)(2 3 7 .43. Multiply(5 3)(5 3 .39. Multiply 7 3 5 11 .40. Multiply))Copyright 2012 MathTV.com, Inc.All rights reserved. Created by Judy BarclayVideos at http://www.mathtv.com3( !3)3 .()2 3 5 4 2 .42. Expand and simplify()2x 5 .44. Divide by rationalizing the denominator37 3.This worksheet may be printed and used for educationalpurposes only. It cannot be used for commercial purposeswithout the written consent of McKeague Textbooks, LLC.

Matched ProblemsCollege AlgebraSection 1.6NameDateAnswers1. 6, 62. 43. Not a real number4. 25. 16. Not a real number7. 9a 2b48. 2xy 39. 3ab210. 311. 312. 713. Not a real number14.4515. 2xy 316. 3ab217. 2718.19.27820. x 41112z21. y 222.25. 5xy 2 y26. 3ab 3 2a30.3 10 xy2y35. x2x 740. 3 10 831.4xy 2 21xz7z1423. 3 227.24. a.5332. ab28.7321 24 3 3 4 2b.c.d.22756333. 5 x29.x5 2234. x 536. 337. 5 538. 26 239. 35 3341. 19 2 1442. x 10 x 2543. 244.Copyright 2012 MathTV.com, Inc.All rights reserved. Created by Judy BarclayVideos at http://www.mathtv.com3 7 3 34This worksheet may be printed and used for educationalpurposes only. It cannot be used for commercial purposeswithout the written consent of McKeague Textbooks, LLC.

It cannot be used for commercial purposes without the written consent of McKeague Textbooks