~ Combining Like-Terms ~

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = (3 + 5)x = 8x.

Front

What is the result of combining the like terms in the expression: 22n + 15 + 1 - 23n?

Back

The result is -n + 16.

Front

How many terms are in the expression: 4x - 2 + x - 3x + 5?

Back

There are 5 terms in the expression.

Front

What is the simplified form of the expression: 5y - 3 + 2y - 8?

Back

The simplified form is 7y - 11.

Front

What is the result of simplifying the expression: -7x + 14 - 2x + 21?

Back

The result is -9x + 35.

Front

What is the simplified form of the expression: n - 10 + 9n - 3?

Back

The simplified form is 10n - 13.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

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

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 + 2).