Standard #: MA.8.A.4.2 (Archived Standard)


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Solve and graph one- and two-step inequalities in one variable.


Remarks


Example: Solve the following inequality for x: 6x-3>10 . Graph the solution set.

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 8
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Supporting Idea: Algebra - Algebra
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    Item Type(s): This benchmark may be assessed using: MC , GR item(s)
    N/A

    Clarification :
    Students will identify the graph of a given one- or two-step inequality and will solve and/or graph one- or two-step linear inequalities.
    Content Limits :

    Items should contain no more than two variables and no more than two operations. Items will solve for only one variable.

    For compound inequalities expressed as one statement (e.g., 45 x 55) or two statements, and or or may be used.

    Inequalities must be linear.

    Stimulus Attributes :
    Items can be set in a real-world or mathematical context.

    Graphics should be used in these items, as appropriate.


Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1 By United States law, any food labeled “reduced fat” must have at least 25% less fat per serving than the regular version of that food. The inequality below can be used to calculate the allowable fat content of a food labeled “reduced fat.”

Equation

where:
x = the number of fat grams per serving in the “reduced fat” food
y = the number of fat grams per serving in the regular-version food

One serving of regular crunchy peanut butter has 16 grams of fat. Which number line represents all possible numbers of fat grams that may be in one serving of “reduced fat” crunchy peanut butter while meeting the requirements of U.S. law?

 N/A MC: Multiple Choice
Sample Item 2 Austin saved $455 from his pay and joined a golf club to improve his game. He paid a $100 membership fee and also pays $15 for each round of golf he plays.

Austin used the following inequality to determine the number of rounds of golf he could play.

Equation

What is the maximum number of rounds of golf Austin can play?

 N/A GR: Gridded-Response


Related Resources

Tutorial

Name Description
Solving Equations with One Variable

This Khan Academy presentation models solving two-step equations with one variable.

Student Resources

Tutorial

Name Description
Solving Equations with One Variable :

This Khan Academy presentation models solving two-step equations with one variable.



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