Rational Algebraic Expressions 4. Rational Algebraic Expressions Note You need to understand how to multiply algebraic expressions using the distributive law before starting work on this tutorial. If you feel you need to review this‚ go back to 3. Multiplying and Factoring Algebraic Expressions. Q What is a Rational Expression? Rational Expression A rational expression is an algebraic expression of the form P/Q‚ where P and Q are simpler expressions (usually polynomials)‚ and the denominator
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In mathematics‚ an algebraic expression is an expression built up from constants‚ variables‚ and a finite number of algebraic operations (addition‚ subtraction‚ multiplication‚ division and exponentiation by an exponent that is a rational number).[1] For example‚ is an algebraic expression. Since taking the square root is the same as raising to the power ‚ is also an algebraic expression. A rational expression is an expression that may be rewritten to a rational fraction by using the properties
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the variable part is b3. Like and unlike algebraic terms Like algebraic terms are defined as those terms which are represented by the same algebraic symbol‚ regardless of the sign or the magnitude of their coefficients. Thus 5x‚ –3x‚ [pic] and [pic] are like algebraic terms since they are all represented by the same symbol x. Similarly 3a2 ‚ –2a2‚ 0.4a2 and [pic]a2 are like terms. Unlike algebraic terms are terms that are represented by different algebraic symbols. Thus 7b‚ 3b2 and –2b3 are all
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diameter of a circular park is 84 m. A 3.5 m vide road on the outside around it. Find the cost of constructing road @ Rs. 200 per m2. ******* RYAN INTERNATIONAL SCHOOL - ROHINI CLASS: VIII WORK SHEET ALZEBRAIC EXPRESSIONS 1. (2x + 5) (2x – 5) = ? (a). (4x2 +25) (b). (4x2 – 25) (c). (4x2 -10x = 25) (d). (4x2 + 10x – 25) 2. (a -1) (a +1) (a2 +1) = ? (a). (a4 -2a2 -1) (b) (a4 – a2-1) (c). (a4 -1) (d). (a4 +1) 3. ( x + 1/x) = 5‚ then (x2+ 1/x2) = ?
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Simplifying Expressions Jennette M. Bird MAT:221 Introduction to Algebra Instructor: Mariya Ivanova February 1st‚ 2014 Simplifying Expressions In this paper‚ I will be using the properties of real numbers to simplify the given expressions for this assignment. I will demonstrate how to simplify expressions using the distributive property method‚ combining like terms‚ and by removing parentheses. I have broken down each problem to its lowest terms by using the proper
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Subtraction and Addition of Algebraic Expressions Math 11 Objectives The student should be able to: Determine the degree of a polynomial Identify the fundamental operations of polynomials Definition of Terms Algebraic expression is an expression involving constants and or variable‚ with all or some of the algebraic operations of addition‚ subtraction‚ division and multiplication Definition of Terms Components of an Algebraic Expression Constant term: fancy name for a number
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and 7.2 1. Add and subtract rational expressions. 2 3 x x 6 9 x2 4 x x 1 (2) 2 25 x x 5 9x 2 7 (3) 2 2 3x 2 x 8 3x x 4 3x 2 (4) 2 2 2x 9x 5 6x x 2 (1) 2 2. Simplify complex rational expressions. 3 2 (1) x 4 4 x 2 2 x 1 x4 2 6 (2) x 2 x 7 4 x 13 2 x 9 x 15 2 5 3 2 2 y xy x (3) 2 7 3 2 2 y xy x 1 xy 1 (4) 2 2 x y 1 3. Solve rational equations. x 1 2 2
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TRANSLATE WORD SENTENCES INTO ALGEBRAIC EXPRESSIONS The following table lists the most common phrases and their translation. |Operation |Words |Example of Phrase |Algebraic Sign |Algebraic | | | | | |Translation | |Addition |sum |the sum of a number and
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essential question listed below. How can an expression written in either radical form or rational exponent form‚ be rewritten to fit the other form? The number inside the radical is the numerator and the number outside the radical sign is the denominator in the rational exponent form‚ if thats right then you just do the same thing with the exponent to find the radical form. Or by by recalling the rule Rational Exponents Radical Expressions The numerator of the rational exponent becomes the exponent on the
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TRANSLATING KEY WORDS AND PHRASES INTO ALGEBRAIC EXPRESSIONS The table below lists some key words and phrases that are used to describe common mathematical operations. To write algebraic expressions and equations‚ assign a variable to represent the unknown number. In the table below‚ the letter “x” is used to represent the unknown. In translation problems‚ the words sum‚ total‚ difference‚ product and quotient imply at least two parts – use parentheses when a sum or difference is multiplied. For
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