Combining Like Terms

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = (3+5)x = 8x.

Front

What is the first step in simplifying an expression with like terms?

Back

The first step is to identify and group the like terms together.

Front

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

Back

The result is 7a.

Front

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

Back

The result is -3x.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce the expression to its simplest form.

Front

What is the simplified form of the expression 5y + 2y - 3y?

Back

The simplified form is 4y.

Front

How do you handle constants when combining like terms?

Back

Constants are combined separately from variable terms. For example, in the expression 3 + 5 + 2x, you combine the constants (3 + 5 = 8) and leave the variable term as is.

Front

What is the simplified form of the expression 7 + 2 - 3?

Back

The simplified form is 6.

Front

What is the result of combining the like terms 6m - 2m + 4m?

Back

The result is 8m.