Cool Down
The equation is a true equation for a particular value of . Explain why is also true for the same value of .
Compare your answer:
If and 100 are equal, then multiplying by and multiplying 100 by will give two results that are also equal, so must be true.
For questions 2 – 4, use the following situation:
To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side.
Will Lin’s move lead to a solution? Explain your reasoning.
Compare your answer:
Lin's move will not work. Dividing by 2.5d gives 3=1, which is not true. Dividing by the variable we are trying to solve makes us think there is no solution.
Will Elena’s move lead to a solution? Explain your reasoning.
Compare your answer:
Compare your answer: Elena’s move will work. Subtracting 2.5d from both sides gives 5d=0.
What is the solution to the equation?
0