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 are like terms?

Back

Like terms are terms in an expression 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 simplify the expression 7y^2 - 5y + 9y - 5y^2?

Back

Combine like terms: (7y^2 - 5y^2) + (-5y + 9y) = 2y^2 + 4y.

Front

What is the result of simplifying the expression 7j + 3k + 10j - k?

Back

Combine like terms: (7j + 10j) + (3k - k) = 17j + 2k.

Front

How do you simplify the expression 7t - 3t + t - 3t?

Back

Combine like terms: (7t - 3t - 3t + t) = 2t.

Front

What is the simplified form of 4q + 4t + 3q + t?

Back

Combine like terms: (4q + 3q) + (4t + t) = 7q + 5t.

Front

What is the simplified expression for 12b + 4b^2 - 10b?

Back

Combine like terms: (12b - 10b) + 4b^2 = 2b + 4b^2.

Front

What is the first step in combining like terms?

Back

Identify and group 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.