Now that the equation has been simplified to y = |1/2 (x - 6)| - 10, you can get to graphing.įor any function, if you have a coefficient inside the operation of the function (the absolute value bars in this case), it basically does the opposite of a coefficient on the outside. Because absolute value doesn't care about the sign, you can effectively just remove the negative on the 1/2. Now you're taking the absolute value of something (x - 6) times a negative. If you do that to this problem, you'll get this: If you have a coefficient of x inside the absolute value sign, one thing you can do is try and isolate it a little bit, by setting it as a factor to the rest of the inside of the absolute value. In the two videos that follow, we show examples of how to solve an absolute value equation that requires you to isolate the absolute value first using mathematical operations.I'll assume you're asking how to graph the equation. Think of an equal sign as meaning “the same as.” Some examples of equations are y = mx +b, \dfrac An equation will always contain an equal sign with an expression on each side. equation: an equation is a mathematical statement that two expressions are equal.expression: groups of terms connected by addition and subtraction.term: a single number, or variables and numbers connected by multiplication.This number is called the coefficient of the variable. coefficient: Sometimes a variable is multiplied by a number.variables: variables are symbols that stand for an unknown quantity they are often represented with letters, like x, y, or z.Use Properties of Equality to Isolate Variables and Solve Algebraic Equationsįirst, let us define some important terminology:
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