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) and exponent(s). For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

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

Back

You combine the like terms 2x and 7x to get 9x, resulting in the simplified expression 9x + 1.

Front

What is the result of combining the terms y + x + y + y + x?

Back

The result is 2x + 3y, as you combine the like terms x and y.

Front

How do you simplify the expression -10x + 15 - 3x + 2?

Back

Combine the like terms -10x and -3x to get -13x, and combine the constants 15 and 2 to get 17, resulting in -13x + 17.

Front

What is the simplified form of 5a + 2b - 3a + 4?

Back

The simplified form is 2a + 2b + 4, after combining like terms 5a and -3a.

Front

How do you simplify the expression 2r + 2 + 5r - 2 + r?

Back

Combine the like terms 2r, 5r, and r to get 8r, and the constants 2 and -2 cancel each other out, resulting in 8r.

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

Can constants be combined in the same way as like terms?

Back

Yes, constants can be combined by adding or subtracting them, just like like terms.

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.