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 6x + 1 + 7x?

Back

The result is 13x + 1.

Front

What is the result of combining 5z - 4z?

Back

The result is 1z.

Front

What is the equivalent expression for d + d + d + 3 + 2?

Back

The equivalent expression is 3d + 5.

Front

How do you simplify 7v + 2 + 12 + 2v?

Back

Combine like terms to get 9v + 14.

Front

What is the simplified form of 3 + 5x + 4?

Back

The simplified form is 5x + 7.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. 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 like terms and unlike terms?

Back

Like terms have the same variable and exponent, while unlike terms do not. For example, 2x and 3x are like terms, but 2x and 3y are unlike terms.