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 identify like terms in an expression?

Back

To identify like terms, look for terms that have the same variable(s) and exponent(s). For instance, in the expression 2a + 3b + 4a, 2a and 4a are like terms.

Front

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

Back

The first step is to group the like terms together to see which ones can be combined.

Front

If you have the expression 5x + 2y - 3x + 4y, how would you simplify it?

Back

First, group the like terms: (5x - 3x) + (2y + 4y) = 2x + 6y.

Front

What is the result of combining the like terms in the expression 7j + 3k + 10j - k?

Back

The result is 17j + 2k.

Front

In the expression 4k + 6k - 3k + 3s - s, what are the combined like terms?

Back

The combined like terms are 4k + 6k - 3k = 7k and 3s - s = 2s, resulting in 7k + 2s.

Front

How do you simplify the expression 10d - 3d + 2e + 4d?

Back

Combine the like terms: (10d - 3d + 4d) + 2e = 11d + 2e.

Front

What is the simplified form of the expression x + 3x + 6x + x?

Back

The simplified form is 11x.

Front

In the expression 8q + 3q - 6t + 2q - 4q, how do you combine the like terms?

Back

Combine the like terms: (8q + 3q + 2q - 4q) - 6t = 9q - 6t.