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 4y are not.

Front

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

Back

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

Front

What is the result of simplifying the expression 5p + 7y + 2t - 3p + 4y?

Back

The result is 2p + 11y + 2t after combining like terms.

Front

Can the expression 4f^2 + 3h - g + f be simplified? Why or why not?

Back

No, it cannot be simplified further because there are no like terms to combine.

Front

How do you simplify the expression 4k + 6k - 3k + 3s - s?

Back

Combine like terms: (4k + 6k - 3k) + (3s - s) = 7k + 2s.

Front

What is the simplified form of 10w + 3d + 3w + d?

Back

The simplified form is 13w + 4d after combining like terms.

Front

What is the first step in combining like terms?

Back

Identify and group the like terms in the expression.

Front

Why is it important to combine like terms in algebra?

Back

Combining like terms simplifies expressions, making them easier to work with and solve.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.