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(s) raised to the same power.

Front

How do you identify like terms in the expression: 3x + 4y - 2x + 5y?

Back

In the expression, the like terms are 3x and -2x (both are x terms) and 4y and 5y (both are y terms).

Front

What is the result of combining the like terms in the expression: 4a + 2b - 3a + 5b?

Back

The result is: (4a - 3a) + (2b + 5b) = 1a + 7b = a + 7b.

Front

What is the first step in simplifying the expression: 7x + 3 - 2x + 5?

Back

The first step is to identify and combine the like terms: (7x - 2x) + (3 + 5).

Front

What is the simplified form of the expression: -5y + 2 + 3y - 4?

Back

The simplified form is: (-5y + 3y) + (2 - 4) = -2y - 2.

Front

In the expression 6m + 4n - 2m + 3n, what are the coefficients of the like terms?

Back

The coefficients of the like terms are 6 and -2 for m, and 4 and 3 for n.

Front

How do you combine the like terms in the expression: 8p - 3 + 2p + 7?

Back

Combine the like terms: (8p + 2p) + (-3 + 7) = 10p + 4.

Front

What is the simplified expression for: 5x + 2y - 3x + 4y + 1?

Back

The simplified expression is: (5x - 3x) + (2y + 4y) + 1 = 2x + 6y + 1.

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.