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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Variables A variable is a symbol that is used to represent an unknown quantity. For example‚ x‚ y‚ z. If x and y are variables‚ then the product xy is also a variable. Terms A term can be: a single number. For example‚ 2‚ 5. a variable‚ or a product of variables (which may be raised to powers). For example‚ z‚ b3‚ [pic]. a product of a number and one or more variables (which may be raised to powers). For example‚ 3x‚ – 4yz‚ 7a2 b3 . Coefficients In a term that is the product of a
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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) = ? (a(. .25 (b). 27 (c) 23 (d) 251/25) 4. If (a –b) =7 and ab = 9‚ then (a2 +b2= ? 5. If x = 10‚ then value of ( 4x2 + 20x + 25) = ? (a). 256 (b) 425 (c) 625 (d)
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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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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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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 Variable term: terms
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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 2
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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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Basic Algebraic Properties of Real Numbers The numbers used to measure real-world quantities such as length‚ area‚ volume‚ speed‚ electrical charges‚ probability of rain‚ room temperature‚ gross national products‚ growth rates‚ and so forth‚ are called real numbers. They include such number as ‚ ‚ ‚ ‚ ‚ ‚ ‚ and . The basic algebraic properties of the real numbers can be expressed in terms of the two fundamental operations of addition and multiplication. Basic Algebraic
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TIME EXPRESSIONS: Active and passive PRESENT TIME Affirmative Negative Interrogative TO BE am S + is are You are kind. am not S+ isn’t aren’t You aren’t kind. am is + S + ? are Are you kind? TO HAVE GOT has S + have + got She has got a car. hasn’t S+ haven’t + got She hasn’t got a car. Has Have + S + got +? Has she got a car? PRESENT SIMPLE S + V (-s 3rd
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