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linear equation

linear equation

1 4.1
An equation with the variable to the first power that makes a straight line when graphed
  • noun
  • /ˈlɪniər ɪˈkweɪʒən/
  • Specialized
translation icon : ecuación lineal
  • The graph of a linear equation shows a straight line representing the relationship between two variables.
  • solve linear equations
  • linear equations with one unknown
  • algebraic linear equations

Systems with linear equations like this don't have chaos.

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Examples

  • The article introduces a framework for assessing middle school algebra students' levels of understanding of linear equations with one unknown.

    Academic text (2010)
  • Teaching students with moderate ID to solve simple linear equations is no small task.

    Academic text (2013)
  • So OK, so This is why solving linear equations is important.

  • In this case, the problem can be written down as a set of a large number of linear equations to be solved.

    Academic text (2016)
  • The specific problem of the three friends could be modeled as a system of linear equations.

    Academic text (2017)
  • I have an algebra test tomorrow, and I don't know how to do linear equations.

    Fiction book (2001)
  • All showed proficiency in solving the same type of linear equations with one unknown provided by the survey and during the interview.

    Academic text (2010)
  • When incorporating graphic organizers to teach algebraic linear equations, remember to keep it simple and take your students' strengths into account.

    Academic text (2013)
  • Task analysis takes a complex skill (e.g., solving linear equations) and breaks it down into small, manageable, and teachable components.

    Academic text (2013)
  • Given the problem components, we can now state the following model based on linear equations: Aj + Al + Af = 28; A + X + (Al + X) + (Af + X) = 37.

    Academic text (2017)

Surface Forms

Morphology

linear + equation

The meaning is directly derivable from combining 'linear' (relating to a straight line or first-degree relation) with 'equation' (a mathematical sentence), so a learner who knows both words can infer it denotes an equation representing a straight line/first-degree variable. This adjective + noun composition is a regular, cross-linguistic pattern and thus is transparently understandable to B1 learners.

Etymology

The term linear equation comes from the idea of a straight line: linear means 'line' and equation means a 'balance' between two parts. When you draw a linear equation on a graph, it makes a straight line, so the name shows it is an equation that makes a line.