Combine Like Terms

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine the terms -6k and 7k?

Back

To combine -6k and 7k, you add the coefficients: -6 + 7 = 1, so the result is k.

Front

What is the simplified form of the expression 2x + 1 + 7x?

Back

The simplified form is 9x + 1, as you combine the like terms 2x and 7x.

Front

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

Back

Combine like terms: 7v and 2v give 9v, and 2 + 12 gives 14, resulting in 9v + 14.

Front

What is the result of simplifying the expression 8y + 5 - 2y?

Back

The result is 6y + 5, as you combine 8y and -2y.

Front

How do you combine the terms 3x, 2x, 3y, and -7y?

Back

Combine like terms: 3x + 2x = 5x and 3y - 7y = -4y, resulting in 5x - 4y.

Front

What is the first step in combining like terms?

Back

The first step is to identify all the like terms in the expression.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. They are separate types of terms.

Front

What is the coefficient in the term 4x?

Back

The coefficient in the term 4x is 4, which is the number multiplying the variable x.