Solving equations for a variable of interest is required in algebra 1 on the PARCC test (and in the Common Core). Students find the radius of a circular pool.
Is a given ordered pair on the graph of a function? Algebra 1 students should be able to figure it out, esp. those who will take the PARCC test this year.
The point at which something more expensive to buy becomes less expensive because operating costs aren't as high can be modeled with a system of linear equations.