Distributive Property and Combining Like Terms

Front

What is the Distributive Property?

Back

The Distributive Property states that 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 is a constant in an expression?

Back

A constant is a fixed value that does not change. For example, in the expression 12e + 7, the number 7 is a constant.

Front

What is a variable?

Back

A variable is a symbol used to represent an unknown value. For example, in the expression g + 7, g is a variable.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in the term 3n, 3 is the coefficient.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

Simplify the expression: 4x + 3x.

Back

7x.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the result of combining like terms in the expression: 2a + 3a - a?

Back

4a.

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like 3x or 5), while an expression is a combination of terms (like 3x + 5).

Front

What is the simplified form of: 5y + 2y - 3y?

Back

4y.