In this lesson students apply their knowledge of solving equations by considering two real world situations: two tanks where one is filling and the other is emptying and two elevators traveling above and below ground level. Using the given expressions for each situation, students are asked to determine when the amount of water in the tanks or the travel time of elevators will be the same. It is the work of the student to recognize that they can set the two expressions equal and solve the equation for the unknown and this work sets up the concept of substitution for the coming section on systems of linear equations.
- Create an equation in one variable to represent a situation in which two conditions are equal.
- Interpret the solution of an equation in one variable in context.
Let’s use equations to think about situations.
- I can use an expression to find when two things, like height, are the same in a real-world situation.
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