Distributive Property and Algebra Flashcard

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you apply the Distributive Property to the expression 4(6x + 11)?

Back

By applying the Distributive Property, you multiply 4 by both 6x and 11, resulting in 24x + 44.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

Identify the coefficient in the expression 2c.

Back

The coefficient in the expression 2c is 2.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Simplify the expression: 5x - 3x.

Back

The simplified expression is 2x.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to rewrite it as a product of its factors.

Front

Factor the expression 12x - 20.

Back

The factored form of 12x - 20 is 4(3x - 5).

Front

How do you factor the expression 4x + 30?

Back

To factor 4x + 30, you can factor out the greatest common factor, which is 2, resulting in 2(2x + 15).

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor is the largest factor that two or more numbers share.