Identifying Like Terms and Combining Like Terms

Front

What are like terms in an algebraic expression?

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 identify like terms in an expression?

Back

To identify like terms, look for terms that have the same variable and exponent. For instance, in the expression 3x + 4y + 5x, the like terms are 3x and 5x.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting the coefficients of like terms while keeping the variable part the same. For example, 3x + 5x = (3+5)x = 8x.

Front

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

Back

2a + 3b + 5.

Front

What is the result of combining the like terms in the expression: 7x + 2y - 3x + 4y?

Back

4x + 6y.

Front

What are the coefficients in the expression 5x^2 + 3x - 7?

Back

The coefficients are 5 (for x^2), 3 (for x), and -7 (the constant term).

Front

True or False: The terms 2x^2 and 2x are like terms.

Back

False. They are not like terms because they have different exponents.

Front

What is the simplified form of the expression: 10m^3 - 4m^3 + 2m^2?

Back

6m^3 + 2m^2.

Front

How do you simplify the expression: 8y - 3y + 5?

Back

5y + 5.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms simplifies expressions, making them easier to work with and solve.