Combining Like Terms

Front

Define 'like terms' in algebra.

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

What does it mean to 'combine like terms'?

Back

Combining like terms means to add or subtract the coefficients of like terms to simplify an expression. For example, in 2a + 3a, you combine to get 5a.

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Simplify by combining like terms: 10d - 3d + 2e + 4d

Back

11d + 2e

Front

Simplify by combining like terms: a + a + a + a

Back

4a

Front

Simplify by combining like terms: 3x - 5x

Back

-2x

Front

Simplify by combining like terms: 7v + 2 + 12 + 2v

Back

9v + 14

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

What is the constant term in the expression 4x + 5 - 2x + 3?

Back

The constant term is 8, which is the sum of the numbers without variables.

Front

Explain why 2xy and 2x are not like terms.

Back

2xy and 2x are not like terms because they have different variable compositions; 2xy has both x and y, while 2x has only x.