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(s) and exponent(s). For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you simplify the expression 4x - (-5) - 6x?

Back

To simplify, first remove the parentheses: 4x + 5 - 6x. Then combine like terms: (4x - 6x) + 5 = -2x + 5.

Front

What is the result of simplifying the expression -2x + 5 - 6?

Back

The result is -2x - 1, as you combine the constant terms 5 and -6.

Front

How do you simplify the expression -5 + 8x - 6x?

Back

Combine like terms: 8x - 6x = 2x. The simplified expression is 2x - 5.

Front

What is the simplified form of x - 3x - 4x?

Back

The simplified form is -6x, as you combine the coefficients of x: (1 - 3 - 4)x = -6x.

Front

What is the coefficient in the term 7y?

Back

The coefficient in the term 7y is 7, which is the number multiplying the variable y.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. They are considered different types of terms.

Front

What is the first step in combining like terms?

Back

The first step is to identify all the like terms in the expression.

Front

What happens if you have no like terms in an expression?

Back

If there are no like terms, the expression is already in its simplest form and cannot be simplified further.