Exploring Adding and Subtracting Rational Expressions

This video tutorial explores expressions, focusing on identifying and labeling variable terms, constant terms, and coefficients. It provides examples to help understand how to combine like terms to simplify expressions. The tutorial emphasizes the importance of recognizing negative signs and using strategies like boxing terms to aid in combining like terms.

What is a variable term in an expression?

• A term with no variable

• A term with a coefficient

• A term with a constant

• A term with a variable

Which of the following is a coefficient in the expression 8x - 5x + 12?

• 8

• All of the above

• -5

• 12

In the expression 4x + 9 - 7x, what is the constant term?

• 4x

• 9

• -7x

• None

Why is it helpful to box each term in an expression?

• To separate terms for easier identification

• To underline the variables

• To make it look neat

• To highlight the coefficients

Identify the coefficients in the expression 9 - 6k + 8k + 1.

• 8 and 1

• 9 and -6

• -6 and 8

• 9 and 1

What is the result of combining like terms in the expression 12x - 7x?

• 5x

• 5

• 12x

• 19x

In the expression 7x + 4 + 2x, what is the simplified form?

• 7x + 6x

• 9x + 4

• 7x + 2x + 4

• 9x + 6

How do you combine the terms in the expression -4r + 9r?

• 5r

• -13r

• -5r

• 13r

What is the simplified form of the expression 3/4y + 1/2y?

• 7/4y

• 1/4y

• 5/4y

• 3/2y

In the expression 8p - 1 + 3q - 5q, what is the simplified form?

• 8p - 2q - 1

• 8p + 2q - 1

• 8p - 1 + 2q

• 8p - 1 - 2q