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Transcript
MTH 091 Sections 3.1 and 9.2 Simplifying Algebraic Expressions Simplifying an Algebraic Expression • An algebraic expression consists of 1. variables with “counting number” exponents 2. coefficients 3. constants 4. arithmetic operations and grouping symbols • An expression will not have an equal sign. • To simplify an algebraic expression: 1. Apply the distributive property to remove parentheses. 2. Combine like terms. The Distributive Property • Multiply the number outside the parentheses by each term inside the parentheses. • Be careful of your signs. • If your parentheses has a subtraction sign outside of it, write in an understood “1”, then multiply -1 by each term inside the parentheses (this is sometimes called distributing the negative). • Do not solve: it’s not an equation. Combining Like Terms • For like variables, add the coefficients together. • For constant terms, add them together. • Do not solve: it’s not an equation. All Together Now 1. Apply the distributive property. 2. Combine like terms. 3. Do not solve: it’s not an equation. Examples 3x 11x 7( x 9) 27 5y 5 5y 6 6 4 6 7( x 8) 7 x More Examples 1 9( x 9) 5(2 x 6) (2 xy 8) 7(4 xy 9) (4 xy 2) 8 y 3( y 3) y (7 5) 75 s 57 Still More Examples 1 11x 13 1 7 k 4 7 1 5 18 x 19 6 6