Flashcard 7.2.5: Add and Subtract 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 add linear expressions?

Back

Adding linear expressions involves combining like terms to simplify the expression.

Front

What does it mean to subtract linear expressions?

Back

Subtracting linear expressions involves changing the signs of the terms in the expression being subtracted and then combining like terms.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you combine like terms in the expression (6x + 9) - (4x + 6)?

Back

Combine like terms: (6x - 4x) + (9 - 6) = 2x + 3.

Front

What is the result of the expression (2x + 4) - (7x - 1)?

Back

The result is -5x + 5.

Front

How do you simplify the expression (8x + 9) + (-6x - 2)?

Back

Combine like terms: (8x - 6x) + (9 - 2) = 2x + 7.

Front

What is the result of the expression (5x + 4) + (-8x - 2)?

Back

The result is -3x + 2.

Front

How do you handle negative signs when subtracting expressions?

Back

Change the signs of the terms in the expression being subtracted before combining like terms.

Front

What is the result of the expression (-x + 12) - (-4x + 2)?

Back

The result is 3x + 10.