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IM 8.4.4 Lesson: More Balanced Moves

Which of these have the same solution as Equation 1?

Equation 1:

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  • A
  • B
  • C
  • D
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Explain your reasoning.

Here is an equation, and then all the steps Clare wrote to solve it: Here is the same equation, and the steps Lin wrote to solve it:

Are both of their solutions correct? 

Explain your reasoning.

Describe some ways the steps they took are alike.

Describe some ways the steps they took are different.

Mai and Noah also solved the equation, but some of their steps have errors. Find the incorrect step in each solution and explain why it is incorrect.

Mai:Noah: 


Solve these equations for x.

I have 24 pencils and 3 cups. The second cup holds one more pencil than the first. The third holds one more than the second. How many pencils does each cup contain?