Combining Like Terms and Simplifying Expressions

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. In the expression 5g^3 + 2, the constant is 2.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable and exponent. For example, in 3x + 2x, combine to get 5x.

Front

What is the simplified form of 3x + 2x?

Back

5x

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 eliminating parentheses.

Front

What is the result of -5(x + 4)?

Back

-5x - 20

Front

How many terms are in the expression -3c + 7d?

Back

There are two terms: -3c and 7d.

Front

What is the result of 3x - 5x?

Back

-2x

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 4x and 2x are like terms.

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an expression. In 5x, 5 is the coefficient.

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).