Standard #: MA.7.A.3.4 (Archived Standard)


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Use the properties of equality to represent an equation in a different way and to show that two equations are  equivalent in a given context.


Remarks


Properties of equality explain the following results:

· A balanced equation will remain balanced if you add, subtract, multiply or divide (excluding division by zero) both sides by the same number.

· A quantity equivalent to another quantity can be substituted for it.

 

Example 1: What is another way to express the following equation? 3x + 14 = x + 30

 

Example 2: Why is 2x + 4 = x + 6 the same as 2x = x + 2 ?

 

 



General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 7
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 3 - Develop an understanding of operations on all rational numbers and solving linear equations.
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)
    N/A

    Clarification :
    Students will determine if two equations have equivalent solutions.

    Students will recognize if two equations are equivalent based on the application of the commutative, associative, and/or distributive properties.
    Content Limits :
    Items may include up to three operations.

    Equations (or expressions) used in items may include up to three operations.

    Coefficients and constants used in multi-step equations (or expressions) must be integers.

    Items that contain one-step equations may use fractions less than 1.
    Stimulus Attributes :
    Items should be set in a real-world or mathematical context.




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