Notes: An equation is a problem that uses an equal sign to show that both sides of the equation are balanced. In a 2-step equation, you have exactly 2 operations that are affecting the variable. In order to solve a 2-step equation, you must undo these 2 things by doing the inverse operation in order to isolate the variable, or get it by itself, to one side of the equation. When you undo the operations on one side, you must do the same thing on the other side so the equation stays balanced. With two-step equations, you have to undo addition or subtraction first, then undo multiplication or division because you are working backwards with the order of operations. Practice: This powerpoint explains 2-step equations step by step and includes several practice problems. ***Working with -x *** If the variable is negative with no number beside it, it means that the variable has been multiplied by a -1. Remember that we don't write 1 beside the variable because it is understood that x is the same as 1x. The same thing is true for -x and -1x. To solve an equation with a negative variable, undo addition or subtraction first, then undo the negative coefficient by dividing by the negative. These are the same steps as usual. Example: -x + 6 = -10 -6 -6 -x = -16 /-1 /-1 x = 16
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