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MAFS.8.F.1.3

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Subject Area: Mathematics
Grade: 8
Domain-Subdomain: Functions
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Define, evaluate, and compare functions. (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

TEST ITEM SPECIFICATIONS

  • Item Type(s): This benchmark may be assessed using: MC , MS , OR , SHT item(s)

  • Assessment Limits :

    Function notation may not be used.

  • Calculator :

    Yes

  • Context :

    Allowable

SAMPLE TEST ITEMS (4)

  • Test Item #: Sample Item 1
  • Question:

    Several functions represent different savings account plans.

    Which functions are nonlinear?

  • Difficulty: N/A
  • Type: MS: Multiselect

  • Test Item #: Sample Item 2
  • Question: Jared puts 20 cents in a jar. The following week, he puts two times that original amount in the jar. For each of the following six weeks, Jared continues to double the amount of money he places in his savings jar each week. 

    Determine if the relationship is linear or nonlinear. Explain your choice using examples with ordered pairs.

  • Difficulty: N/A
  • Type: OR: Open Response

  • Test Item #: Sample Item 3
  • Question:

    The function y = 3.50x + 2 represents the total amount of money, y, saved over x weeks.

    What is true about the function?

  • Difficulty: N/A
  • Type: MC: Multiple Choice

  • Test Item #: Sample Item 4
  • Question:

    Kayden creates a linear function where x is the input, y is the output, and m and b are constants.

    A. Which equation could represent Kayden's function?

    B. Which statement about the graph of Kayden's function is true for all values of m and b?

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