Question

Which property is NOT used when solving 15 = 2x – 1?

A) Reflex. Prop.
B) Add. Prop.
C) Div. Prop.
D) Sym. Prop.

Answer 1

When solving the equation 15 = 2x - 1, the properties used are the Addition and Division Properties of Equality and the Symmetry Property. The Reflexive Property of Equality is NOT used in solving this equation.

Step-by-step explanation:

The question asks which property is NOT used when solving the equation 15 = 2x - 1. When solving this equation, you would typically use the following properties:

• Addition Property of Equality (Add. Prop.): This would be used to add 1 to both sides of the equation to get 15 + 1 = 2x.
• Division Property of Equality (Div. Prop.): This is used after adding 1 to both sides, to divide both sides by 2 to solve for x, giving you x = (15 + 1) / 2.
• Symmetry Property (Sym. Prop.): This allows you to flip the equation around the equal sign if needed, changing it from 15 = 2x - 1 to 2x - 1 = 15 if you wish.

The option that is NOT used in solving this equation is the:

• Reflexive Property of Equality (Reflex. Prop.): This property states that a value is equal to itself (a = a), which is not necessary to solve this equation.

Therefore, the correct answer is A) Reflexive Property.