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, you add or subtract the coefficients of the terms that are alike. For example, 3x + 5x = (3 + 5)x = 8x.

Front

What is the result of combining -5x and 3x?

Back

-5x + 3x = (-5 + 3)x = -2x.

Front

What is the coefficient in the term 7y?

Back

The coefficient in the term 7y is 7.

Front

How many terms are in the expression 4a + 3b - 2c + 5?

Back

There are 4 terms in the expression: 4a, 3b, -2c, and 5.

Front

What is the result of combining 2y + 4y - 3y?

Back

2y + 4y - 3y = (2 + 4 - 3)y = 3y.

Front

What is the expression for v + v + v + v + v?

Back

The expression simplifies to 5v.

Front

What is the result of combining 11a - 4a + 2a?

Back

11a - 4a + 2a = (11 - 4 + 2)a = 9a.

Front

What is the result of combining 6x - 2x + 3y - 5y?

Back

6x - 2x + 3y - 5y = (6 - 2)x + (3 - 5)y = 4x - 2y.

Front

What is the result of combining -r - 10r?

Back

-r - 10r = (-1 - 10)r = -11r.