In this lesson, students are introduced to writing and solving equations based on real-world situations, using the example of calculating the fare for a cab ride. The lesson covers two solution techniques: guess and check and the use of additive and multiplicative opposites. By applying these techniques, students learn how to isolate variables and solve for them in equations. The importance of checking your answers is also emphasized.
An introduction to writing and solving equations from real-world situations.
How do you write an equation for the price of a cab fare if there is a flat fee of $5 as well as a fee of $2 per mile?
How many miles can you go on $25 if the cab fee equation is f = 2m + 5?
How do you solve 25 = 2m + 5?
What are some techniques for solving equations for a variable?
How do you solve 5x = 15 by multiplying by the reciprocal to solve?
How do you solve -3/2y = 15 by multiplying by the reciprocal to solve?
How do you check your solution to an equation?
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This lesson will show you how to write an equation from a real-world problem situation and then solve the equation for a given question. The main skill learned in this lesson is solving an equation for a variable.