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 algebraic expression that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you simplify the expression 5x + 3y + 5 + 4x + 3y + y + 8?

Back

Combine like terms: 5x + 4x = 9x, 3y + 3y + y = 7y, and 5 + 8 = 13. The simplified expression is 9x + 7y + 13.

Front

What is the first step in simplifying the expression 2(4 + 9w)?

Back

The first step is to distribute the 2 to both terms inside the parentheses: 2 * 4 + 2 * 9w = 8 + 18w.

Front

How do you simplify the expression 2x + 1 + 7x?

Back

Combine like terms: 2x + 7x = 9x. The simplified expression is 9x + 1.

Front

What is the result of simplifying the expression 3 + 5x + 8 - 2x?

Back

Combine like terms: 5x - 2x = 3x and 3 + 8 = 11. The simplified expression is 11 + 3x.

Front

What is the simplified form of the expression 3x + 2x?

Back

Combine like terms: 3x + 2x = 5x.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms is important because it simplifies expressions, making them easier to work with and understand.

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 general rule for combining like terms?

Back

The general rule is to add or subtract the coefficients of like terms while keeping the variable part unchanged.