Distributive Property and Combing Like Terms

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 or difference.

Front

How do you combine like terms?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the result of applying the Distributive Property to 3(9 + 2d)?

Back

The result is 27 + 6d.

Front

Simplify the expression: 3(9 + 2d) + 4d.

Back

The simplified expression is 27 + 10d.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and applying the Distributive Property.

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

What is the simplified form of -2y + 8 + 7y + 5?

Back

The simplified form is 5y + 13.

Front

How do you handle negative coefficients when combining like terms?

Back

When combining like terms with negative coefficients, treat the negative sign as part of the coefficient and combine accordingly.

Front

What is the result of simplifying the expression 3 + 5x + 8 - 2x?

Back

The result is 11 + 3x.

Front

What is the simplified form of -10x + 15 - 3x + 2?

Back

The simplified form is -13x + 17.