U6 Packet - Name Mr Rives Algebra 2X Unit 6 Radical...

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Precalculus: Mathematics for Calculus
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Chapter 1 / Exercise 5
Precalculus: Mathematics for Calculus
Redlin/Stewart
Expert Verified
Name______________________________Mr. Rives – Algebra 2XDAYTOPICASSIGNMENT18.6 LAWS OF EXPONENTSRATIONAL EXPONENTSSIMPLIFYING EXPRESSIONSPage 614 # 5-27 and 31-55odd2MORE 8.6WORKSHEET Day 238.7 RADICAL FUNCTIONS (mini-quiz)GRAPHS AND APPLICATIONPage 624 # 8-10,24-26, 30-32, 39, 51-55a48.8 SOLVING RADICAL EQUATIONS-INCLUDING 2 RADICALSPage 632 # 2-225MORE 8.8 / reviewPage 633 # 27-41, page 635#71-736Quiz on days 1-579.4 OPERATIONS AND COMPOSITIONS OFFUNCTIONSPAGE 686 # 15-17, 24-32,39,40, 45-4787.2 INVERSES OF RELATIONS ANDFUNCTIONSPAGE 501 # 1-16, 30, 34,41-4699.5 FUNCTIONS AND THEIR INVERSESPAGE 693 # 9-19 ALL, 24-35 ODD, 47-50 ALL10REVIEWREVIEW SHEET11Quiz On days 7-9Page 1 of 18Unit 6: Radical Functions and Rational Exponents
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Precalculus: Mathematics for Calculus
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Chapter 1 / Exercise 5
Precalculus: Mathematics for Calculus
Redlin/Stewart
Expert Verified
Vocabulary:a) Radical Expression: b)Rational Exponent:A radical expression can be written as a rational exponent, and vice versa. Here’s how…3x45yProperties of Exponents (Rational or Not)Property in WordsAlgebra“Normal” ExponentsRational ExponentsProduct of Powersmnaa2333132233Quotient of Powersmnaa725523132727Power of a Powernma2344124Power of a Productmab33x1225 36Power of a Quotient mab234132764EXAMPLES: Page 2 of 18Day 1: Laws of Exponents, Rational Exponents & Simplifying
Sometimes it is easier to convert radical expression into rational exponents before simplifying.1) 8452) 105x3) 2425Other times we will need to simplify radical expressions. Signs of Exponents and RadicalsevenxoddxevenxoddxevenxoddxevenxoddxTo break down radicals, you must look at the ______________________.Give the index: a) 23x yz______b) 5104x yz______Whatever the index is, that’s how large of a “group” that you need to bring an item outof the radicand.Examples: (you should have done this before in algebra 1 and especially in finite math)a) 82638x y zindex: ______b) 114775a b cindex: ______For this unit, we will be interested in simplifying rational exponents – in many cases we use the rules from the previous page, but in some cases we will use the process for simplifying radicals. Page 3 of 18#
(classtime: game or activity)Page 4 of 18Day 2: HOMEWORK WORKSHEET
Warm up: Continue the list of perfect squares as high as you can go…x12345678910111213142x14Today we are going to look at graphing square roots like 3yx

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