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 -9x are like terms because they both contain the variable x.

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, in 5a - 3a, you combine the coefficients (5 - 3) to get 2a.

Front

Simplify the expression: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Identify the like terms in the expression: 3x + 7 - 9x + 24y + 2x^2

Back

3x and -9x are like terms.

Front

What is the result of the expression: 2(4X-7)?

Back

8x - 14

Front

What is the simplified form of X + X + X + X + X?

Back

5X

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.

Front

What is a variable?

Back

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

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 difference between like terms and unlike terms?

Back

Like terms have the same variable and exponent, while unlike terms do not. For example, 3x and 4y are unlike terms.