Matched Problems College Algebra Section 1.6. Name. Date. 4 81a 4 b x 3 y 9.

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1 Directions 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 on MathTV, try the matched problem to check your progress in this section You can use the QR code at the right to view the videos for this section on your smart phone or tablet If your smart device does not have a camera, but can access the Internet, go to mmathtvcom to view the videos for this worksheet Give the two square roots of Simplify this expression, if possible! Simplify this expression, if possible Simplify this expression, if possible Simplify this expression, if possible:! Simplify this expression, if possible! 7 Assume all variables represent nonnegative numbers and simplify this expression as much as possible 8a b 8 8 Assume all variables represent nonnegative numbers and simplify this expression as much as possible 8x y 9 9 Assume all variables represent nonnegative numbers and simplify this expression as much as possible 8a b 8 0 Write this expression as a root and simplify, if possible 9 Copyright 0 MathTVcom, Inc All rights reserved Created by Judy Barclay Videos at purposes only It cannot be used for commercial purposes without the written consent of McKeague Textbooks, LLC

2 Write this expression as a root and simplify, if possible 7 Write this expression as a root and simplify, if possible!9 Write this expression as a root and simplify, if possible (!9) Write this expression as a root and simplify, if possible! $ % Write this radical with a rational exponent and simplify 8x y 9 Write this radical with a rational exponent and simplify 8a b 8 7 Simplify as much as possible 9 8 Simplify as much as possible 8! 9 Simplify as much as possible! $ 8% ' 0 Assume all variables represent positive quantities and simplify as much as possible x! x Assume all variables represent positive quantities and! $ simplify as much as possible y % Assume all variables represent positive quantities and simplify as much as possible z z Copyright 0 MathTVcom, Inc All rights reserved Created by Judy Barclay Videos at purposes only It cannot be used for commercial purposes without the written consent of McKeague Textbooks, LLC

3 Write 8 in simplified form Simplify each expression: 8 a b c d Write 0x y in simplified form Assume xy, 0 Write a b in simplified form 7 Write 9 in simplified form 8 Write in simplified form 9 Rationalize the denominator 0 Rationalize the denominator x y Write 8x y 7z in simplified form Simplify the expression 7a b Do not assume the variables represent positive numbers Copyright 0 MathTVcom, Inc All rights reserved Created by Judy Barclay Videos at purposes only It cannot be used for commercial purposes without the written consent of McKeague Textbooks, LLC

4 Simplify the expression x Do not assume the variables represent positive numbers Simplify the expression x +0x + Do not assume the variables represent positive numbers Simplify the expression x + 7x Do not assume the variables represent positive numbers Simplify (!) 7 Combine + 8 Combine Multiply ( 7 )( ) 0 Multiply ( ) Multiply ( + 7)( 7) Expand and simplify ( x + ) Multiply ( + )( ) Divide by rationalizing the denominator 7 Copyright 0 MathTVcom, Inc All rights reserved Created by Judy Barclay Videos at purposes only It cannot be used for commercial purposes without the written consent of McKeague Textbooks, LLC

5 Answers, Not a real number Not a real number 7 9a b 8 xy 9 ab 0 7 Not a real number ab xy x y z a b 7 c + d + xy y ab a xy y xy xz 7z ab 7 x x x + x x x+ 0 x+ 7 + Copyright 0 MathTVcom, Inc All rights reserved Created by Judy Barclay Videos at purposes only It cannot be used for commercial purposes without the written consent of McKeague Textbooks, LLC