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Practice Problems
By Easy Worksheet
Period: ________ Date: ____________
 
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Fill in the missing reason in the proof:

1) Given: -3(-2x + 2) = 2x -4, solve for x:
StatementReason
-3(-2x + 2) = 2x -4Given
6x -6 = 2x -4
4x -6 = -4Subtraction Property of Equality
4x = 2Addition Property of Equality
x = 1/2 Division Property of Equality

By Easy Worksheet

By Easy Worksheet

 2) Given: -(2x -3) = -5x -4, solve for x:
Statement      Reason    
-(2x -3) = -5x -4
-2x + 3 = -5x -4Distributive Law
3x + 3 = -4Addition Property of Equality
3x = -7Subtraction Property of Equality
x = -7/3 Division Property of Equality
3) Given: -3x = 3(x -3), solve for x:
StatementReason
-3x = 3(x -3)Given
-3x = 3x -9Distributive Law
-6x = -9
x = 3/2 Division Property of Equality

By Easy Worksheet

By Easy Worksheet

 4) Given: -x + 3 = -4(-5x), solve for x:
StatementReason
-x + 3 = -4(-5x)Given
-x + 3 = 20xDistributive Law
-21x + 3 = 0
-21x = -3Subtraction Property of Equality
x = 1/7 Division Property of Equality

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