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Algebra I Recipe: Equations and Inequalities
Definitions
  1. open sentences - equations or inequalities that contain variables and cannot be answered true or false.
    • 2x – 3 = 5 cannot be answered true or false until a value is given for x.

  2. equation - is formed when an "equal to" symbol is placed between two expressions.
    • is means =

  3. inequality - looks like an equation except there is an inequality symbol between two expressions.
    • > represents is "greater than"
    • < represents is "less than"
    • ≥ represents is "greater than or equal to"
    • ≤ represents is "less than or equal to"

  4. solution – is a number that replaces the variable and makes the open sentence true.
ExamplesExamples:
Is a = 5 a solution to 2a + 1 = 11?
Is a = 5 a solution to 6a – 5 = 15?
Is a = 5 a solution to 5a + 4 = 26?
Is a = 5 a solution to 45 ÷ a = 9?
Is a = 5 a solution to a2 + 2 = 27?
Is a = 5 a solution to 40/a = 8?
ExamplesExamples:
Is b = 8 a solution to 8 ≥ 64 ÷ b?
Is b = 8 a solution to 3b – 24 > 0?
Is b = 8 a solution to 16 ≤ b2?
Is b = 8 a solution to 60 > 7b + 3?
Is b = 8 a solution to 18 – b < 10?
Is b = 8 a solution to 37 ≥ 4b?



G Redden

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