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 have the same variable. For example, 3x + 5x = (3 + 5)x = 8x.

Front

Simplify: 7j + 3k + 10j - k

Back

17j + 2k

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating any unnecessary parts.

Front

Simplify: 4f² + 3h - g + f

Back

Can't be simplified

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 5x, 5 is the coefficient.

Front

Simplify: 12b + 4b² - 10b

Back

4b² + 2b

Front

What is a variable in algebra?

Back

A variable is a symbol used to represent an unknown value. Common variables include x, y, and z.

Front

Simplify: m + m + m + m

Back

4m

Front

What is the difference between like terms and unlike terms?

Back

Like terms have the same variable and exponent, while unlike terms do not. For example, 2x and 3x are like terms, but 2x and 3y are unlike terms.