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Expressions and Equations Algebra I 2011-2012 Equations vs. Expressions Expressions • Shows a mathematical relationships Ex. • They cannot be solved, it DOES NOT 2x+9 have an answer 5-9x+x-7 • We simplify expressions -(4+9x) Equations vs. Expressions Equations Ex. 2x+9=2 5-9x+x-7=1 -(4+9x)=2 • Equates two expressions • They can be solved • Isolate the variable Step for Solving Equations Steps for solving equations Distribute Combine Like Terms Solve Solving one Step 1 and two steps Add or subtract the CONSTANT by using the inverse operation equations Step 2 Multiply or divide the coefficient by using the inverse operation. Step for Solving Multi Step Equations What if there are variables on both sides of the equal sign? • Move VARIABLES to one side of the = sign by addition or subtraction and CONSTANTS to the other. • Then solve like a normal equation. Examples Step for Solving Equations Combining Like Terms To combine like terms, the terms must have the same variable or be constant. 5x and 6x can be combined 2x and 3y cannot be combined 3x and 4 cannot be combined To combine like terms you add or subtract the coefficient Step for Solving Equations Distribution When distributing the number on the outside of the parenthesis multiply by EVERYTHING on the inside REMEMBER YOUR RULES FOR MULTIPLYING NEGATIVE AND POSITIVE NUMBERS Step for Solving Equations What if This is the same as having there’s no a 1 as a coefficient or in coefficient front. or number in Ex. x-1 = 1x-1 front of the 2-(t+6) = 2-1(t+6) parenthesis?