Combining Like Terms

Front

What does it mean to combine like terms?

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

Front

Simplify: 4q + 4t + 3q + t

Back

7q + 5t

Front

What is a constant in an expression?

Back

A constant is a term that does not contain any variables. For example, in the expression 3x + 2y + 7, the constant is 7.

Front

Simplify: 2r + 2 + 5r + 2 + r

Back

8r + 4

Front

What is the coefficient in the term 5x?

Back

The coefficient is the number in front of the variable, which is 5 in this case.

Front

Simplify: x + 3x + 6x + x

Back

11x

Front

What is the sum of the coefficients in the expression 2x + 3y + 4?

Back

The sum of the coefficients is 2 + 3 + 0 = 5.

Front

Simplify: 3 + 5x + 4

Back

5x + 7

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like 3x or 5), while an expression is a combination of terms (like 3x + 5).