Adding Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one. It can be written in the form ax + b, where a and b are constants.

Front

How do you add linear expressions?

Back

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

Front

Add the linear expressions: (8x + 7) + (5x + 7)

Back

13x + 14

Front

Add the linear expressions: (10x - 2) + (8x - 9)

Back

18x - 11

Front

Add the linear expressions: (-2x + 9) + (3x + 4)

Back

x + 13

Front

Add the linear expressions: (-x + 12) + (8x - 3)

Back

7x + 9

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is a coefficient in a linear expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in 4x, 4 is the coefficient.

Front

What is a constant in a linear expression?

Back

A constant is a fixed value that does not change. In the expression 3x + 5, 5 is the constant.

Front

What is the result of adding the linear expressions: (2x + 3) + (4x + 5)?

Back

6x + 8