Algebraic properties

Front

What is the Division Property of Equality?

Back

If a = b, then a/c = b/c for any non-zero c.

Front

What does the Distributive Property state?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What are Like Terms?

Back

Terms that have the same variable raised to the same power, e.g., 2x and 3x.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any c.

Front

What is the Subtraction Property of Equality?

Back

If a = b, then a - c = b - c for any c.

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc for any c.

Front

What is the purpose of the Substitution Property?

Back

It allows you to replace a variable with a number or another variable in an equation.

Front

What is the Reflexive Property of Equality?

Back

For any number a, a = a; it states that any quantity is equal to itself.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c.

Front

How do you solve the equation y + 3 = 6 using the Subtraction Property of Equality?

Back

Subtract 3 from both sides: y + 3 - 3 = 6 - 3, so y = 3.