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Mathematics (2019) Grade(s): 8

MA19.8.11

Solve multi-step linear equations in one variable, including rational number coefficients, and equations that require using the distributive property and combining like terms.

Unpacked Content

Knowledge

Students know:
  • how to solve one and two step equations with one variable.
  • Write linear equations given real-world contexts.
  • That a solution to an equation can represent a real-world quantity.

Skills

Students are able to:
  • apply the distributive property and combine like terms to simplify an equation.
  • Recognize a solution as representing one solution, no solution, or infinite solutions.
  • Analyze and solve a real-world problem and write an appropriate equation for it that leads to a solution that can be explained within the context of the problem.

Understanding

Students understand that:
  • equations can now have more than one solution in given real-world scenarios.
  • The distributive property and combining like terms are essential to simplifying an equation. therefore making it easier to solve.

Vocabulary

  • one solution
  • no solution
  • Infinitely many solutions
  • like terms
  • Distributive property
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