Combining Like Terms in Algebra

Front

What does it mean to combine like terms in algebra?

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 like term?

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

How do you combine the terms 8 + 4x + 1 - 12y + 5x?

Back

You combine like terms to get 9x - 12y + 9.

Front

What is the result of evaluating the expression 4(t – 2) + 3 when t = 10?

Back

The result is 35.

Front

How do you simplify the expression 2x + 4 - 2y?

Back

The expression remains as 2x + 4 - 2y since there are no like terms to combine.

Front

What is the simplified form of -1x + 2 - 9 + 10?

Back

The simplified form is -1x + 3.

Front

How do you simplify the expression -4 + 7y - (x) + 9?

Back

The simplified form is -1x + 7y + 5.

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. Only like terms can be combined.

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.