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Lesson1 - MA 15200 Lesson 1 Section P.1(part 1 I Algebraic...

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1 MA 15200 Lesson 1 Section P.1 (part 1) I Algebraic Expressions An algebraic expression can be a number, a variable, or a combination of numbers and variables using the operations of addition, subtraction, multiplication, division, powers, absolute values, or roots. An algebraic equation is not an algebraic expression (an equation contains algebraic expressions). Most of the problems you will be given in this course will fall either the category of algebraic expression or category of algebraic equation. Algebraic expression examples: 2 4 1 2 5, 3 3 , 29 x x x x x + + + Directions for algebraic expression problems include simplify, evaluate, add, subtract, multiply, divide, or factor. One type of algebraic expression is an exponential expression . ( )( )( )...( ) the factor used times n b b b b b b n = 5 4 4 4 4 4 4 4 ( 3) ( 3)( 3)( 3)( 3) = - = - - - - The base b is the factor and the exponent n describes how many times it is a factor. II Evaluating Algebraic Expressions Evaluating an algebraic expression means to find the value of the expression for a given value of the variable(s). The Order of Operations Agreement 1. Perform operations within the innermost grouping and work outwards. If the expression involves a fraction, treat the numerator and denominator as if they were each a group. Grouping can include parentheses, brackets, a root, or absolute value bars. 2. Evaluate all exponential expressions. 3. Perform multiplication and/or division as they occur, working from left to right. 4. Perform addition and/or subtraction as they occur, working from left to right. Ex 1: Evaluate 3 2 3 4( 2) 9 for 4 x x x - - + =
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2 Ex 2: Evaluate the following expression, if x = 3, y = -2, and z = 4 z xy z y x 2 ) 2 ( 4 2 2 - - A formula is an equation that uses variables to express a relationship between two or more quantities. The process of determining a formula is called mathematical modeling.
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