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 (5a - 2b).

Front

How do you add binomials?

Back

To add binomials, combine like terms by adding the coefficients of the same variable. For example, (3x + 4) + (2x + 5) = (3x + 2x) + (4 + 5) = 5x + 9.

Front

How do you subtract binomials?

Back

To subtract binomials, distribute the negative sign to the second binomial and then combine like terms. For example, (3x + 4) - (2x + 5) = (3x - 2x) + (4 - 5) = x - 1.

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

Simplify: (4x + 3) + (2x + 5)

Back

6x + 8.

Front

Simplify: (5a - 2) - (3a + 4)

Back

2a - 6.

Front

What is the result of combining (3x - 4) + (12x + 10)?

Back

15x + 6.

Front

What is the result of simplifying (9x + 17) + (19x - 27)?

Back

28x - 10.

Front

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

Back

3x^2 - x.

Front

What is the result of simplifying (2a + 3) + (4a - 5)?

Back

6a - 2.