Factor, Add and Subtract Linear Expressions (Flashcard Review)

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest exponent 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.

Front

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

Back

5x + 6

Front

What does it mean for a linear expression to be prime?

Back

A linear expression is prime if it cannot be factored into simpler linear expressions.

Front

Which of the following is a prime linear expression: 15x + 22, 12x - 10, 81x - 36, 7x + 21?

Back

15x + 22

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 (6x + 9) - (-4x + 6)?

Back

10x + 3

Front

What is the result of (10y + 7) - (2y + 3)?

Back

8y + 4

Front

What is the perimeter of a polygon represented by the expression 7x + 3y + 2?

Back

The perimeter is represented by the expression 7x + 3y + 2.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.