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Notes, Examples, and practice (with solutions) - Math Plane
Word Problems that use Rational Expressions Example: Underground pipes can fill a swimming pool in 4 hours. A regular garden hose can fill the pool in 15 hours. If both are used at the …
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Worksheet Rational Expressions A rational expression is an expression of the form , Q p where P and Q are polynomials, with Q≠ 0. Example: 4 2 3 5 8 2 7 x x x x − − Is a rational expression …
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Worksheet 6.1: Rational Expressions and Functions
Worksheet 6.1: Rational Expressions and Functions Summer 2016 1. Simplify each of the following rational expressions. (a) 100x3y5 36xy8 (b) 48ab3c2 6a7bc0 (c) 3m4n 12m4n3 (d) …
Rational Expressions Practice Test Name (Multiple Choice)
For exercises 13-16, add or subtract. Write each answer in lowest terms. 13. r 4 r 9 r 4 3r 1 (a) r 4 2r 10 (b) r 4 4r 8 (c) r 4 4r 10 (d) 2 14. 5 15 3 2
MULTIPLYING & DIVIDING RATIONAL EXPRESSIONS
The same principles apply when multiplying rational expressions containing variables. Before multiplying, you should first divide out any common factors to both a numerator and a …
State the excluded values for each rational expression.
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SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS You’ve learned about rational expressions and radical expressions from previous modules. This time, you will learn how to …
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know and translates that process to multiplying and dividing rational expressions (MP.7). This enables students to develop techniques to solve rational equations in Lesson 26 (A-APR.D.6). …
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Adding + Subtracting Rational Expressions Date_____ Period____ Simplify each expression. 1) u + 5v 8v2u2 − u − 6v 8v2u2 2) 5n 30 m + 2m + 4n 30 m 3) a + 2b 6a3 − 5a + 4b 6a3 4) x + y 18 …
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Simplifying Expressions with Rational Exponents and Radicals
Name _____ Date _____ Class _____ Original content Copyright © by Houghton Mifflin Harcourt.
Simplifying complex rational expressions worksheet with answers
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Simplifying Rational Expressions Find any excluded values for each rational expression. 1. 6 3 x 2. 2 5 xx 4 3. 2 6 34 x xx _____ _____ _____ Simplify each rational expression, if possible. 4. …
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For Questions (1-2), simplify the given expressions to its lowest form: 1) 5 51 r r 2) 3 2 36 48 d d For Questions (3-10), evaluate and then simplify the given expressions: 3) 2 24 56 p pp 4) …
7.1 Rational Expressions - Reduce Rational Expressions
Rational Expressions - Reduce Rational Expressions Objective: Reduce rational expressions by dividing out common fac-tors. Rational expressions are expressions written as a quotient of …
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solution. It is the method we will use when simplifying with variables as well. We will first find the LCD of the small fractions, and multiply each term by this LCD so we can clear the small …
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Adding + Subtracting Rational Expressions Date_____ Period____ Simplify each expression. 1) u + 5v 8v2u2 − u − 6v 8v2u2 2) 5n 30 m + 2m + 4n 30 m 3) a + 2b 6a3 − 5a + 4b 6a3 4) x + y 18 …
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Simplifying Algebraic Fractions Videos 24 on Corbettmaths Question 5: Simplify the following algebraic fractions (a) (b) (c)
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• Simplifying rational expressions Finding the Inverse of a Function 1. Determine the equation of the inverse (f−1 x ) of the function f (x)= 9 5 (x+32) 2. Determine the equation of the inverse, …
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Adding/Subtracting Rational Expressions Date_____ Period____ Simplify each expression. 1) u − v 8v + 6u − 3v 8v 2) m − 3n 6m3n − m + 3n 6m3n 3) 5 a2 + 3a + 2 + 5a + 1 a2 + 3a + 2 ... jA …
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7.1 Practice - Reduce Rational Expressions Evaluate 1) 4v +2 6 when v =4 3) x − 3 x2 − 4x +3 when x= − 4 5) b+2 b2 +4b+4 when b=0 2) b − 3 3b − 9 when b= − 2 4) a +2 a2 +3a +2 when …
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Simplifying Rational Expressions
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Discussion Consider the following statement: The product of two rational numbers is an irrational number. Is it a true statement? Justify your answer. Explain 1 Simplifying Multivariable …
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a product or quotient of two rational expressions? You can multiply and divide rational expressions in much the same way that you multiply and divide fractions. Values that make …
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Determine rational approximations of irrational numbers. PO 4. Estimate the location of the rational or irrational numbers on a number line. Strand 3: Patterns, Algebra, and Functions …
