Combining Like Terms

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, 3x + 5x = (3 + 5)x = 8x.

Front

What is the result of combining 5x² + 7x²?

Back

The result is 12x².

Front

What is the simplified form of y + x + y + y + x?

Back

The simplified form is 2x + 3y.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the result of simplifying 8x² + 5x + 2y + x?

Back

The result is 8x² + 6x + 2y.

Front

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

Back

The simplified form is 13w + 4d.

Front

What is the result of simplifying m + m + m + m?

Back

The result is 4m.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

What is a variable in algebra?

Back

A variable is a symbol used to represent an unknown value, often denoted by letters such as x, y, or z.