Combining 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(s) raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine the like 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 result of combining the like terms 3x and 2x?

Back

The result of combining 3x and 2x is 5x.

Front

How do you simplify the expression 8xy + 7x^2 + 6y - 4x^2 - 5xy?

Back

Combine like terms: (7x^2 - 4x^2) + (8xy - 5xy) + 6y = 3x^2 + 3xy + 6y.

Front

What is the simplified form of -4x - 10x?

Back

The simplified form is -14x.

Front

How do you combine the terms in the expression 3x^2 - x + 2 - 5x^2 + 8x - 5?

Back

Combine like terms: (3x^2 - 5x^2) + (-x + 8x) + (2 - 5) = -2x^2 + 7x - 3.

Front

What is the coefficient in the term 7x^2?

Back

The coefficient in the term 7x^2 is 7.

Front

What is the constant term in the expression 3x^2 - x + 2 - 5x^2 + 8x - 5?

Back

The constant term is -3, which comes from combining 2 and -5.

Front

Can you combine the terms 2xy and 3x^2?

Back

No, you cannot combine 2xy and 3x^2 because they are not like terms.