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 is the result of combining the like terms 2x and -5x?

Back

The result is -3x.

Front

How do you combine the terms 3x and -5x?

Back

You subtract the coefficients: 3 - 5 = -2, so the result is -2x.

Front

What is the simplified form of the expression 3b + b - 2b?

Back

The simplified form is 2b.

Front

How do you simplify the expression 3 + 5x + 8 - 2x?

Back

Combine the constant terms (3 + 8 = 11) and the like terms (5x - 2x = 3x), resulting in 11 + 3x.

Front

What is the result of combining -4x and -10x?

Back

The result is -14x.

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent.

Front

Can you combine the terms 2x^2 and 3x? Why or why not?

Back

No, you cannot combine them because they are not like terms; they have different variables.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7.

Front

If you have the expression 4y + 2y - 3y, what is the simplified result?

Back

The simplified result is 3y.