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 is a like term?

Back

Like terms are terms that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms, while 3x and 3y are not.

Front

How do you simplify the expression x + 3x + 6x + x?

Back

You combine the coefficients of the like terms: 1x + 3x + 6x + 1x = 11x.

Front

What is the result of simplifying the expression 7t - 3t + t - 3t?

Back

The result is 2t, obtained by combining the like terms: (7 - 3 + 1 - 3)t = 2t.

Front

How do you simplify the expression 10w + 3d + 3w + d?

Back

Combine like terms: (10w + 3w) + (3d + d) = 13w + 4d.

Front

What is the simplified form of 12b + 4b^2 - 10b?

Back

The simplified form is 4b^2 + 2b, obtained by combining like terms: (12b - 10b) + 4b^2 = 2b + 4b^2.

Front

How do you simplify the expression 8q + 3q - 6t + 2q - 4q?

Back

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

Front

What is the first step in combining like terms?

Back

The first step is to identify all the like terms in the expression.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms as they are not like terms.

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.