Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Algebra: Reasoning with Equations & Inequalities
Cluster: Level 3: Strategic Thinking & Complex Reasoning
Cluster: Understand solving equations as a process of reasoning and explain the reasoning. (Algebra 1 - Major Cluster) (Algebra 2 - Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes


  • Item Type(s): This benchmark may be assessed using: SHT item(s)

  • Assessment Limits :
    Items will not require the student to recall names of properties from memory.
  • Calculator :
  • Clarification :
    Students will complete an algebraic proof of solving a linear equation. 

    Students will construct a viable argument to justify a solution method

  • Stimulus Attributes :
    Items should be set in a mathematical context. Items may use function notation. 

    Items should be linear equations in the form of ax + b = c, a(bx + c) = d, ax + b = cx + d, or a(bx + c) = d(ex + f), where a, b, c, d, e, and f are rational numbers. Equations may be given in forms that are equivalent to these. 

    Coefficients may be a rational number or a variable that represents any real number. 

    Items should not require more than four procedural steps to reach a solution.

  • Response Attributes :
    Items may ask the student to complete steps in a viable argument. 

    Items should not ask the student to provide the solution.


  • Test Item #: Sample Item 1
  • Question:

    Some of the steps in Raya's solution to 2.5(6.25x +0.5) = 11 are shown.

    Select the correct reason for line 4 of Raya's solution.

  • Difficulty: N/A
  • Type: SHT: Selectable Hot Text