Add and Subtract Binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (3x + 4) or (5y - 2).

Front

How do you add binomials?

Back

To add binomials, combine like terms by adding the coefficients of the same variable. For example, (2x + 3) + (4x + 5) = 6x + 8.

Front

How do you subtract binomials?

Back

To subtract binomials, distribute the negative sign and then combine like terms. For example, (5x + 3) - (2x + 1) = 3x + 2.

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, but 3x and 4y are not.

Front

Simplify: (4x^2 + x) - (x^2 + 2x)

Back

3x^2 - x.

Front

Combine the polynomials: (6y + 8) + (3y - 5)

Back

9y + 3.

Front

Simplify: (9x + 17) + (19x - 27)

Back

28x - 10.

Front

Add or Subtract to Simplify: (7a^3 - 2a) + (3a^3 + 5a)

Back

10a^3 + 3a.

Front

What is the result of adding (2x + 3) and (3x + 4)?

Back

5x + 7.

Front

What is the result of subtracting (5y - 2) from (3y + 4)?

Back

-2y + 6.