Algebra - Creating Equations
PrintCreating equations is a cross-cutting algebra skill: students write equations and inequalities in one and two variables to model relationships. Emphasis is on choosing appropriate forms and interpreting solutions in context. These standards appear across Algebra 1 and serve as a foundation for function modeling.
Example Problems
Solve the equation for w:
It takes 12 hours and $250 to paint a single-family home, and it takes 80 hours and $600 to paint a commercial building.
A painting company has less than $70000 to paint these properties, and it wants to spend at most 900 hours to do so.
Let denote the number of single-family homes they paint and the number of commercial buildings they paint.
Write a system of inequalities that represents the following conditions:
1. An inequality that represents the condition based on the number of dollars the company can spend.
2. An inequality that represents the condition based on the number of hours the company wants to spend.
A painting company has less than $70000 to paint these properties, and it wants to spend at most 900 hours to do so.
Let denote the number of single-family homes they paint and the number of commercial buildings they paint.
Write a system of inequalities that represents the following conditions:
1. An inequality that represents the condition based on the number of dollars the company can spend.
2. An inequality that represents the condition based on the number of hours the company wants to spend.
Write the equation of a line that is parallel to and that passes through the point .
Factor and solve:
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