Adding Algebraic Expressions

Front

What is the process of adding algebraic expressions?

Back

To add algebraic expressions, combine like terms by adding their coefficients while keeping the variable part the same.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 3x^2 are not.

Front

How do you simplify the expression (3x + 5) + (2x + 1)?

Back

Combine like terms: (3x + 2x) + (5 + 1) = 5x + 6.

Front

What is the result of simplifying the expression 3 + 5x + 8 - 2x?

Back

Combine like terms: (5x - 2x) + (3 + 8) = 3x + 11.

Front

Are the terms 3x and 3 like terms?

Back

No, they are not like terms because they do not have the same variable part.

Front

How do you combine like terms in the expression 3c + 2c + 6?

Back

Combine the coefficients of like terms: (3c + 2c) + 6 = 5c + 6.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

What is a constant term in an algebraic expression?

Back

A constant term is a term that does not contain any variables. For example, in the expression 4x + 5, the number 5 is a constant term.

Front

How do you identify like terms in the expression 4x^2 - 3x - 2x?

Back

Like terms are those that share the same variable and exponent. Here, -3x and -2x are like terms.

Front

What is the first step in simplifying an algebraic expression?

Back

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