Standard #: MA.912.A.3.4 (Archived 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
Standard: Linear Equations and Inequalities - Solve linear equations and inequalities.
Date Adopted or Revised: 09/07
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)
    N/A

    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 # Question Difficulty Type
Sample Item 1 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?
N/A MC: Multiple Choice
Sample Item 2

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

 

N/A MC: Multiple Choice


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