Algebraic Proofs

Front

What is the Subtraction Property of Equality?

Back

If two expressions are equal, subtracting the same value from both sides maintains the equality.

Front

Define the Symmetric Property of Equality.

Back

If a = b, then b = a. This property states that if one quantity equals another, then the second quantity equals the first.

Front

What does 'Given' mean in the context of algebraic proofs?

Back

It refers to the information or statements that are provided as true at the beginning of a proof.

Front

What is the Division Property of Equality?

Back

If two expressions are equal, dividing both sides by the same non-zero value maintains the equality.

Front

What is an algebraic proof?

Back

A logical argument that uses algebraic expressions and properties to demonstrate the truth of a statement.

Front

Explain the importance of properties of equality in algebra.

Back

Properties of equality are essential for solving equations and proving statements, as they allow manipulation of equations while preserving equality.

Front

What is the Addition Property of Equality?

Back

If two expressions are equal, adding the same value to both sides maintains the equality.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c. This property allows for the substitution of equal values.

Front

How do you apply the properties of equality in solving equations?

Back

By using the properties to manipulate the equation, you can isolate the variable and find its value.

Front

What is the Reflexive Property of Equality?

Back

Any quantity is equal to itself, i.e., a = a.