Now there are only blocks on one side and
Then we eliminate the circles on the left side In this example we use all the abovementioned operations: taking away fromīoth sides of the equation and dividing the equation by the same number.įirst we get rid of the blocks on the right sideīy taking away two blocks from both sides.
More advanced students can ponder what to do about the equation 2/3x = 12. Try let your students model the equation 1/2x + 14 = 20 using a balance they can solve it with it. For example, the equation 1/4x = 13 is solved by multiplying both sides by 4. Multiplying both sides can occur if you have a fractional block ( less than one block) on one side. Then, if you have more than one block, you need to divide so as to arrive to the situation with only one block on the one side, which is the solved equation! The goal is to FIRST add and subtract until we have ONLY x's (blocks) on one side and ONLY ones (circles) on the other. (There are others, too, but they are not needed in simple equations.)
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