PHS: Algebraic Properties 10.15 Grade

Front

What is the Substitution Property of Equality?

Back

If a = b, then a can be substituted for b in any equation or expression.

Front

What does the Distributive Property state?

Back

The Distributive Property states that a(b + c) = ab + ac.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, e.g., a = a.

Front

How does the Substitution Property apply in algebraic equations?

Back

It allows you to replace a variable with its equivalent value in an equation.

Front

What is an example of the Distributive Property?

Back

5(x + 2) = 5x + 10.

Front

What is the purpose of the Reflexive Property in geometry?

Back

It is used to establish congruence between segments or angles.

Front

What is the significance of the Substitution Property in solving equations?

Back

It simplifies equations by allowing the replacement of variables with known values.

Front

Can you give an example of the Substitution Property in use?

Back

If x = 3, then in the equation x + 2 = 5, you can substitute 3 for x.

Front

What is the relationship between the Distributive Property and combining like terms?

Back

The Distributive Property helps in expanding expressions, which can then be simplified by combining like terms.

Front

What is the difference between the Reflexive Property and the Symmetric Property?

Back

The Reflexive Property states a = a, while the Symmetric Property states that if a = b, then b = a.