Solve Equations and Justify Each Step in the Solution
 In this activity, you will work on algebraic proofs.Proving things are true is a very important skill to have as a mathematician!Be thinking about the "steps" in a proof. Also be thinking about how to justify each step.What property of numbers, or equality can be applied as reasons in your proof? 1.  Which property is used to justify the following statement?           Let a = 5 and b = 16.             2ab = 2(5)(16) = 160.    Symmetric Property of EqualityReflexive Property of EqualityTransitive Property of EqualitySubstitution Property of Equality 2.  Which property justifies the work from Step 1 to Step 2 below?Step 1:  5x + 9 = 16Step 2:  5x = 7Subtraction Property of EqualityMultiplication Property of EqualityDivision Property of Equality 3.  Which property justifies the work from Step 1 to Step 2 below?Step 1:  7m = 63Step 2:  m = 9Addition Property of EqualitySubtraction Property of EqualityDivision Property of Equality 4.  Which property justifies the work from Step 1 to Step 2 below?Step 1:  -8 + 6n = 4Step 2:  6n = 12Multiplication Property of EqualityAddition Property of EqualityDivision Property of Equality 5.  Which property justifies the work from Step 1 to Step 2 below?Step 1:  -x = 15Step 2:  x = -15Addition Property of EqualitySubtraction Property of EqualityDivision Property of Equality 6.  Fill in the missing parts of the proof by dragging     the justifications to the correct step of the proof.1.  4(x - 3) = 362.   4x - 12 = 363.   4x = 484.   x = 12STEPSAddition Property of Equality?Division Property of Equality?Distributive Property?REASONSGivenReflexive Property of =?not used:  7.  Fill in the missing parts of the proof by dragging      the justifications to the correct step of the proof.2.   -6x + 12 = 243.   -6x = 121.  -6( x - 2 ) = 244.   x = -2STEPSSubtraction Property of =?Distributive Property?Division Property of =?REASONSAssociative Property of =?Given?not used:  8.  Fill in the missing parts of the proof by dragging      the justifications to the correct step of the proof.2.   6x – 3 = -213.   6x = -181.   8x - 3 = -21 + 2x4.   x = -3STEPSSubtraction Property of =?Division Property of =?Addition Property of =?REASONSAssociative Property of =?Given?not used:
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