Adding Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

Front

How do you add linear expressions?

Back

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

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 the sum of (-m + 3) + (7m – 1)?

Back

6m + 2

Front

What is the sum of (3w - 8) + (-6w - 4)?

Back

-3w - 12

Front

What is the sum of (−x + 8) + (−5x − 1)?

Back

−6x + 7

Front

What is the sum of (3x + 5) + (2x + 1)?

Back

5x + 6

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting the coefficients of terms that have the same variable.

Front

What is the coefficient in the expression 4x + 7?

Back

The coefficient is 4, which is the number multiplying the variable x.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change, such as the number 7 in the expression 4x + 7.