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 is a like term?

Back

Like terms are terms that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you simplify the expression 2(4 + 9w)?

Back

You distribute the 2 to both terms inside the parentheses: 2*4 + 2*9w = 8 + 18w.

Front

What is the result of simplifying the expression 3x + 2x?

Back

The result is 5x, as you combine the coefficients of the like terms.

Front

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

Back

You distribute the -4 to both terms: -4*-4d + -4*-5 = 16d + 20.

Front

What is the simplified form of the expression 2x + 1 + 7x?

Back

The simplified form is 9x + 1, combining the like terms 2x and 7x.

Front

If you have the expression a + a + a + a, how can you simplify it?

Back

You can simplify it to 4a by adding the coefficients of the like terms.

Front

What is the coefficient in the term 5x?

Back

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

Front

What is the constant term in the expression 3x + 4?

Back

The constant term is 4, as it does not contain any variables.

Front

How do you identify like terms in an expression?

Back

You identify like terms by looking for terms that have the same variable(s) raised to the same power.