Combine 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 are like terms?

Back

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

Front

How do you simplify the expression 3 + 5x + 8 - 2x?

Back

You combine like terms: 3 + 8 = 11 and 5x - 2x = 3x, resulting in 11 + 3x.

Front

What is the result of simplifying the expression 3x - 5x?

Back

The result is -2x, as you combine the coefficients of like terms.

Front

How do you simplify the expression 8y + 5 - 2y?

Back

Combine like terms: 8y - 2y = 6y, so the expression simplifies to 6y + 5.

Front

What is the simplified form of 7v + 2 + 12 + 2v?

Back

Combine like terms: 7v + 2v = 9v and 2 + 12 = 14, resulting in 9v + 14.

Front

What is the simplified expression for 2x + 1 + 7x?

Back

Combine like terms: 2x + 7x = 9x, so the expression simplifies to 9x + 1.

Front

What is the first step in simplifying an expression with like terms?

Back

The first step is to identify and group the like terms together.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. Only like terms can be combined.

Front

What is the coefficient in the term 5x?

Back

The coefficient is 5, which is the number multiplying the variable x.