Identifying Properties When Solving Equations

To solve the equation below, Xavier has to subtract 7 from both sides. What property allows him to do this?

• Subtraction Property of Equality

• Addition Property of Equality

• Commutative Property of Addition

• Distributive Property

Identify the property used below.

3x · 1 = 3x

• Identity Property of Multiplication

• Identity Properyt of Addition

• Inverse Property of Multiplication

• Inverse Property of Addition

If a = b, then a may be replaced by b in any expression.

• Transitive Property         

• Reflexive Property             

• Symmetric Property 

• Substitution Property

Name the property described:
If PQ = RS then RS = PQ

• Reflexive

• Symmetric

• Transitive

• Addition

• identity property of multiplication

• multiplication property of equality

• commutative property of multiplication

• distributive property of multiplication over subtraction

• addition property of equality

• commutative property of addition

• multiplication property of equality

• distributive property of multiplication over addition

Britney is solving a quadratic equation. Her first step is shown below. Problem: 3x^2-8-10x=3(2x+3) Step 1: 3x^2-10x-8=6x+9 Which two properties did Britney use to get to step 1?

• I. addition property of equality

• II. commutative property of addition

• III. multiplication property of equality

• IV. distributive property of multiplication over addition

• A and C

• A and B

• D and C

• D and B

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