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 an algebraic expression?

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 4y are not.

Front

What is a constant in an algebraic expression?

Back

A constant is a number on its own without a variable attached. For example, in the expression 5x + 3, the number 3 is a constant.

Front

How many terms are in the expression 4a + 5b + 6c + 7?

Back

There are 4 terms in the expression: 4a, 5b, 6c, and 7.

Front

What is the result of combining the like terms 2x + 3x + 4x?

Back

The result is 9x.

Front

If you have the expression 2y + 3 + 4y + 5, what is the simplified form?

Back

The simplified form is 6y + 8.

Front

What is the coefficient in the term 7x?

Back

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

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 variable powers.

Front

What is the simplified form of the expression 5a + 2b + 3a + 4b?

Back

The simplified form is 8a + 6b.