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lesson 5 notebook.notebook September 16, 2016 LESSON 5 Algebraic Expressions * An algebraic expression is just a mathematical sentence made up of….. * * A symbol (letter) used to replace a number is called a variable. Term ~ part that makes up an algebraic expression It can be composed of: numbers only variables combination A term only with a number is called a constant term (value does not change). Coefficient ~ the number in front of the variable or variables of a term “Like” terms ~ two or more terms are called “like terms” if they have the same variables raised to the same exponents. Examples All constants are “like terms”. Order of Expressions Number first than alphabetically (a)(5)(c)(b) - 2 + 5x - 2z + 3y Clean Algebra Real Life • Students Ask?? 1 lesson 5 notebook.notebook September 16, 2016 Monomial ‐ algebraic expression consisting of only one term. examples: Degree Of A Monomial For one variable: same as exponent For more than one variable: sum of the exponents of all its variables. For a constant: the degree is always zero. What about this???? 2 lesson 5 notebook.notebook September 16, 2016 Solution 2x2 3x2 x 3xy2 x2y Like terms 5x2 1 2x 4x xy2 xy2 x2y 2 Like terms Like terms Not like terms 3 lesson 5 notebook.notebook September 16, 2016 variable constant term 5x 3y + z +14 2z coefficient like terms 4