Add Linear Expressions

Front

What are like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, in the expression (2x + 3) + (x + 4), 2x and x are like terms, and 3 and 4 are like terms.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, in the expression 2x + x, you combine them to get 3x.

Front

What is the result of adding the expressions (-3x - 9) and (4x + 8)?

Back

The result is x - 1.

Front

How do you simplify the expression (4x - 2) + (x - 4)?

Back

You combine like terms to get 5x - 6.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you apply the distributive property to the expression 2(x + 3)?

Back

You multiply 2 by both x and 3, resulting in 2x + 6.

Front

What is the result of adding the expressions 2(x + 3) and (3x + 1)?

Back

The result is 5x + 7.

Front

What is the process for adding two linear expressions?

Back

To add two linear expressions, combine like terms by adding the coefficients of the same variable and the constant terms.

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one. For example, 2x + 3 is a linear expression.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.