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How does adding and subtracting rational numbers compare with adding and subtracting integers? 56 Chapter 2 Rational Numbers and Equations Adding and Subtracting Rational Numbers 2.2 STATE STANDARDS MA.7.A.3.2 S Work with a partner. Use a number line to fi nd the sum or difference. a. Sample: 2.7 + (−3.4) 2.7 Start at 0. Move 2.7 Add −3.4 ...
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Preview and Download !Simplified form: a rational expression is simplified if its numerator and denominator have NO common factors (other than±1). Simplify Rational Expressions Property cc aa a bc b c c • = = • To simplify Rational Functions you need to FACTOR and CANCEL. Examples: 15 3 5 3 65 13 5 13 • = = • 2 4 12 4( 3) 4 2 15 ( 5)( 3) 5 xx xx x x x ...
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Preview and Download !Simplifying Rational Exponents Date_____ Period____ Simplify. 1) (n4) 3 2 2) (27 p6) 5 3 3) (25 b6)−1.5 4) (64 m4) 3 2 5) (a8) 3 2 6) (9r4)0.5 7) (81 x12)1.25 8) (216 r9) 1 3 Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator. 9) 2m2 ⋅ 4m 3 2 ⋅ 4m−2 10) 3b 1 2 ⋅ b 4 3 11) (p 3 ...
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Preview and Download !13) Give an example of a rational number that was not already used on this worksheet or our notes. _____ SELECTED ANSWERS BELOW: (the rest will be shown in class tomorrow) 2) a) irrational, real c) natural, whole, integer, rational, real 3) a) check all boxes except irrational c) check whole, integer, rational, and real (not natural, not ...
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Preview and Download !rational numbers of the form (x, y), where x is the first coordinate and y is the second coordinate. So, we’ll name it using the numbers on the x axis first, followed by the number on the y axis. Take a look at the points on the coordinate plane. What are the coordinates of the given points? Let’s start with point A. The x-coordinate of point A
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Preview and Download !The same principles apply when addingaddingadding or subtracting rational expressions subtracting rational expressionssubtracting rational expressions containing variables. To Add or Subtract Rational Expressions with a Common Denominator 1. Add or subtract the numerators. 2. Place the sum or difference of the numerators found in step 1 over
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Preview and Download !Exercise 1: Find the domain for the given rational function. ( ) 2 2 3 4 xx f x x + = + Exercise 2: Find the domain for the given rational function. ( ) 2 2 3 2 53 x f x xx = −−. Exercise 3: Find all vertical and horizontal asymptotes (if any) for the given rational function. ( ) 34 5 x f x x + = −
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Preview and Download !Rational Expressions Date_____ Period____ State the excluded values for each. 1) 60 x3 12 x 2) 70 v2 100 v 3) m + 7 m2 + 4m − 21 4) n2 + 6n + 5 n + 1 ... Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com. Title: Rational Expressions
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Preview and Download !Solving Rational Equations Date_____ Period____ Solve each equation. Remember to check for extraneous solutions. 1) 1 6 k2 = 1 3k2 − 1 k 2) 1 n2 + 1 n = 1 2n2 3) 1 6b2 + 1 6b = 1 b2 ... Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com. Title: Solving Rational Equations
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Preview and Download !3. Rational numbers can be written as , where . p. and . q. are both integers and . q. is not equal to zero. Find the number that can be written as . Since can be written as a fraction of two integers, is a rational number. 4. A number that terminates in zeros or repeats a sequence of digits to the right of the decimal point is called a ...
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