Vocabulary:
Inverse Property of Addition - The sum of a number and its opposite.
Inverse Operation - The operation that is opposite of the one in the equation. If addition is in the
equation you use subtraction. If multiplication is in the equation, use division.
Examples:
Addition/Subtraction
-3 + y = -5 Always rewrite the problem EVERY step of the way.
+3 +3 Begin on the side of the equation that contains the variable, in this case there is a -3
y = -2 so we add 3 to each side of the = sign. Remember what we do on one side of the
equal sign we have to do on the other side. Adding +3 to -3 will cancel the -3,
leaving the variable alone. Adding 3 to -5 leave -2. Therefore, the answer is y = -2
n + 3 = -10 x - 8 = -32
-3 -3 +8 +8
n = -13 x = -24
Multiplication/Division
( -3 ) a = 9(-3) As with the addition and subtraction equations with multiplication and
-3 division equations you ALWAYS want to rewrite the problem after
a = -27 preforming each step. Since this is a division problem we will need to use
multiplication to solve the equation. This wil cancel out the -3 under the
variable (a); Putting a by it self. Remember, what we do on one side of the
= sign we need to do on the other side. Multiplying 9 by -3 gives an
answer of -27.
-120 = 6x Multiplication can be represented by a number next to a variable, as in 6x.
-120 = 6x The inverse operation is division. Don't forget to divide both side of the =
6 = 6 sign by the same number
-20 = x
Video Helps:
https://www.youtube.com/watch?v=0XiH0Kb_RxA
https://www.youtube.com/watch?v=JY5ndajkuww
http://www.teachertube.com/video/solving-equations-with-integers-278893
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