Gracie Gitzinger 8/9

Gracie Gitzinger 8/9

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  • How do you solve 3(4x+4)=22?
  • Me neither.
  • I don't know how to do this
  • Well, first of all you need to distribute the 3 to the numbers in the parenthesis. 3(4x+4) =22 Distribute: 3x4x + 3x4. 12x+12=22
  • Yes.
  • So, after distributing you would get 12x=12=22 right?
  • Now what?
  • Next, you need to use the inverse operation. The inverse of addition is subtraction. So therefore, you would subtract 12, using the equality property of subtraction.
  • The equality property of subtraction is when you subtract a number from both sides. In this problem, you are subtracting twelve.
  • 12x+12=22 (-12)(-12) 12x= 10
  • After using the equality property of subtraction you will need to use the inverse operation again, just on a different number. Use the inverse operation on the 12x. The inverse of multiplication is division. Therefore, you will divide 12x by 12 and 10 by 12, using the equality property of division.
  • The equality property of division is just like the equality property of subtraction. You just are dividing instead of subtracting.
  • 12x=22 12x/12=x 10/12=0.83 with the 3 repeating
  • Therefore, now that you have isolated the variable x, the answer to the problem is x=0.83 with the three repeating.
  • Ohh, okay.
  • 12x/12=x 10/12=0.83 with the three repeating
  • Does everyone understand now?
  • Yes!
  • Now I know how to somewhat solve 2 step equations.
  • I also know what the equality property is and the inverse operation.
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