Adding and Subtracting 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

What does it mean to combine like terms in algebra?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a set of parentheses.

Front

How do you add two linear expressions?

Back

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

Front

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

Back

The result is 5x + 6.

Front

How do you subtract one linear expression from another?

Back

To subtract one linear expression from another, distribute the negative sign and then combine like terms.

Front

What is the result of subtracting (3x - 2) from (7x - 4)?

Back

The result is 4x - 2.

Front

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

Back

The sum is −6x + 7.

Front

How do you apply the Distributive Property to the expression 2(x + 3)?

Back

You multiply 2 by each term inside the parentheses: 2(x) + 2(3) = 2x + 6.

Front

What is the result of the expression 2(x + 3) + 3(3x - 2)?

Back

The result is 11x after applying the Distributive Property and combining like terms.