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Decide whether a given statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities, rational or radical expressions, or logarithmic or exponential functions).
Remarks
Example 1: Alex says x= -1 is the solution to the following system of inequalities. Explain to Alex when x=-1 is a solution and when it is not a solution.
y≥-1/2x-3
y<3x+1
Example 2: Is the statement 
true for all x, for some x, or for no x?
Example 3: Let c be any constant number different than 5. Which of the following lines will always be parallel to y=2x+5? Explain your answer.
a. y= -2x + c
b. y= ½ x + c
c. y= 2x + c
d. y= -½ x + c
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 3: Strategic Thinking & Complex Reasoning
Standard: Mathematical Reasoning and Problem Solving - In a general sense, all of mathematics is problem solving. In all of mathematics, use problem-solving skills, choose how to approach a problem, explain the reasoning, and check the results.
Date Adopted or Revised: 09/07
Content Complexity Rating:
Level 3: Strategic Thinking & Complex Reasoning
-
More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
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