Combining Like Terms

Front

What does it mean to combine like terms in an algebraic 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 3y are not.

Front

How do you combine the like terms in the expression -2x + 11 + 6x?

Back

You combine -2x and 6x to get 4x, so the expression simplifies to 4x + 11.

Front

What is the result of simplifying the expression 2x + 1 + 7x?

Back

The result is 9x + 1, as you combine 2x and 7x.

Front

How do you combine the terms in the expression 3x + 2x + 3y - 7y?

Back

You combine 3x and 2x to get 5x, and 3y and -7y to get -4y, resulting in 5x - 4y.

Front

What is the simplified form of the expression 3x - 5x?

Back

The simplified form is -2x, as you combine 3x and -5x.

Front

How do you simplify the expression -10x + 15 - 3x + 2?

Back

You combine -10x and -3x to get -13x, and 15 and 2 to get 17, resulting in -13x + 17.

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 importance of combining like terms in algebra?

Back

Combining like terms simplifies expressions, making them easier to work with and solve.