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# Massachusetts Comprehensive Assessment System

 Question 17: Open-Response Reporting Category: Number Sense and OperationsStandard: 10.N.2 - Simplify numerical expressions, including those involving positive integer exponents or the absolute value, e.g., 3(24 - 1) = 45, 4|3 - 5| + 6 = 14; apply such simplifications in the solution of problems. (AI.N.2) A numerical expression is shown below.What is the value of the expression? Show or explain how you got your answer.Copy the equation below into your Student Answer Booklet. Insert sets of parentheses in the equation to make it true. Explain your reasoning. Copy the equation below into your Student Answer Booklet.Insert one set of parentheses in the equation to make it true. Explain your reasoning.Copy the expression below into your Student Answer Booklet. Insert a set or sets of parentheses in the expression so that the expression will have a value that is not equal to 38, 56, or the answer to part (a). Explain your reasoning.

### Scoring Guide and Sample Student WorkSelect a score point in the table below to view the sample student response.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Number Sense and Operations concepts involved in simplifying numerical expressions. The student simplifies an expression using the order of operations and inserts parentheses to produce different simplified results.
4
3 The student response demonstrates a good understanding of the Number Sense and Operations concepts involved in simplifying numerical expressions. Although there is significant evidence that the student was able to recognize and apply the concepts involved, some aspect of the response is flawed. As a result the response merits 3 points.
2 The student response demonstrates fair understanding of the Number Sense and Operations concepts involved in simplifying numerical expressions. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 2 points.
1 The student response demonstrates only minimal understanding of the Number Sense and Operations concepts involved in simplifying numerical expressions.
0 The student response contains insufficient evidence of an understanding of the Number Sense and Operations concepts involved in simplifying numerical expressions to merit any points.

Note: There are 2 sample student responses for Score Point 4.

None found...