IM 7.6.20 Lesson: Combining Like Terms (Part 1)

  is equivalent to .

  is equivalent to .

  is equivalent to 8.

Diego and Jada are both trying to write an expression with fewer terms that is equivalent to .

• Jada thinks  is equivalent to the original expression.
• Diego thinks  is equivalent to the original expression.

Here is another way we can rewrite the expressions. Explain why the expression on each row (after the first row) is equivalent to the expression on the row before it.          

• Take the number formed by the first 3 digits of your phone number and multiply it by 40
• Add 1 to the result
• Multiply by 500
• Add the number formed by the last 4 digits of your phone number, and then add it again
• Subtract 500
• Multiply by 

How does this number puzzle work?

Can you invent a new number puzzle that gives a surprising result?