MA.912.A.3.4Archived Standard

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Solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution.

Remarks

Example 1: Solve the following inequality for x and then graph the solution set on a number line: 7<3x+5<11

Example 2: Solve the following inequality for x in the set {0, 1, 2, 3, 4}: 6x-3>10 Show your work.

Example 3: Solve the following inequality for x, explaining each step in your solution: 8x-7≤2x+5
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Standard: Linear Equations and Inequalities - Solve linear equations and inequalities.
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 item(s)

  • Clarification :
    Students will solve simple and compound inequalities and graph solutions on a number line.
  • Content Limits :
    Items will not include inequalities without a solution.
  • Stimulus Attributes :
    Items may be set in either real-world or mathematical contexts.
Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question: Taylor has a total of $25 to spend on dinner, which includes a 6.5% sales tax and a 20% tip. Taylor used the inequality shown below to calculate the amount in dollars, a, she can spend before tax and tip.

    1.2(a + 0.065a) ≤ 25

    Which of the following shows the solution to this inequality?
  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 2
  • Question:

    Which graph shows the solution to the inequality shown below?
    15 ≤ 7n - 2(n - 10) < 35

     

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

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