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 a 'term' in algebra?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

How do you identify like terms in an expression?

Back

Like terms are terms that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms, while 3x and 3y are not.

Front

What is the result of combining the like terms 5a and -3a?

Back

The result is 2a.

Front

If you have the expression 2x + 3y + 4x, how would you simplify it?

Back

You would combine the like terms 2x and 4x to get 6x + 3y.

Front

What is the coefficient in the term 7xy?

Back

The coefficient is 7, which is the numerical factor in the term.

Front

How many terms are in the expression 4x - 2y + 5?

Back

There are 3 terms in the expression: 4x, -2y, and 5.

Front

What is the simplified form of the expression v + v + v + v + v?

Back

The simplified form is 5v.

Front

What is the result of the expression 3x - 5x?

Back

The result is -2x.

Front

Can constants be combined with variable terms?

Back

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