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 12b + 4b^2 - 10b?

Back

You combine the like terms 12b and -10b to get 2b, resulting in 4b^2 + 2b.

Front

What is the first step in simplifying the expression 10w + 3d + 3w + d?

Back

The first step is to identify and group the like terms: 10w and 3w, and 3d and d.

Front

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

Back

The simplified form is 11x, obtained by combining all the like terms.

Front

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

Back

Combine the like terms 10d, -3d, and 4d to get 11d, resulting in 11d + 2e.

Front

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

Back

The result is 2t, obtained by combining the like terms.

Front

Why is it important to combine like terms when simplifying expressions?

Back

Combining like terms makes expressions simpler and easier to work with, which is essential for solving equations and inequalities.

Front

What is the coefficient in the term 4b^2?

Back

The coefficient is 4, which is the number multiplying the variable term b^2.

Front

Can constants be combined with variable terms?

Back

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