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Download ALG-1-7– like and unlike terms- definitions
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Like and Unlike Terms - Definition #ALG-1-7 Category Description How to identify like or unlike terms in an expression. Course(s) Mini-Lesson 085 x Algebra 091 x Definition(s) 093 8.1 Sub-category 095 2.1 5.2 097 1.6 Basic Definitions 100 x ADN E18 ch7 PHT x Variables and Algebraic Expressions A symbol used to represent a number is a variable. An algebraic expression is a collection of numbers, variables and operation symbols. Terms and Coefficients A term is a number or the product of a number and variables raised to powers. The coefficient of a term is the numerical factor. Like Terms Like terms are terms with the same variables raised to the same powers. Note: The variables do not need to be in the same order. (Commutative property of multiplication) Rule Example Familiarize yourself with like and unlike terms. Are the following terms like or unlike? a. 𝟑𝒙𝟐 and −𝟓𝒙𝟐 b. 𝟐𝒙𝟐 and 𝟖𝒙 c. 𝟕𝒙𝒚 and 𝟏𝟏𝒚𝒙 a. Like Both terms have the variable x raised to the second power. b. Unlike One term has the variable x raised to the second power and the other term has the variable x raised to the first power. Not the same! c. Like Both terms have the variable x raised to the first power and the variable y raised to the first power. Order does not matter. Remember! The same variables must be raised to the same powers. Order does not matter. ALG-1-7 | Page 1 Practice Problems See also ALG-1-1: expression - definitions ALG-1-2: variable - definitions ALG-1-3: term(s) - definitions ALG-1-4: coefficient - definitions ALG-1-8: combine like terms Answers unlike Practice Are the following terms like or unlike? 1. 4𝑥 and 8𝑥 2 2. 𝑎𝑏 2 and 5𝑏 2 a 3. 3𝑥𝑦 2 and 7𝑥 2 y ALG-1-7 | Page 2 like unlike
