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 simplify an expression?

Back

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

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

How do you add linear expressions?

Back

To add linear expressions, combine like terms by adding their coefficients.

Front

What is the result of adding (3d - 5) + (d + 3)?

Back

4d - 2.

Front

How do you subtract linear expressions?

Back

To subtract linear expressions, distribute the negative sign and then combine like terms.

Front

What is the result of simplifying 8q + 3q - 6t + 2q - 4q?

Back

9q - 6t.

Front

How can you represent a word problem as a linear expression?

Back

Identify the quantities involved and their relationships, then express them using variables and constants.

Front

What linear expression represents Jacob's hat collection problem?

Back

2x + 6.

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