Exploring Adding and Subtracting Rational Expressions

This video tutorial covers the concept of combining like terms in algebraic expressions. It begins with an introduction to the components of expressions, including variable and constant terms, and the importance of signs. The tutorial explains how to identify terms and coefficients, providing examples to illustrate the process. It then moves on to the main objective: combining like terms to simplify expressions. The video uses colors and shapes to help visualize the process and provides step-by-step examples, including dealing with fractions and multiple variables.

What is the significance of the sign in front of a term in an algebraic expression?

• It specifies the coefficient of the term.

• It determines the color used for highlighting the term.

• It shows the variable associated with the term.

• It indicates the mathematical operation to be applied.

What are the components of variable terms?

• Variables and operations

• Coefficients and constants

• Variables and coefficients

• Constants and operations

What is a constant term in an algebraic expression?

• A term that is always zero

• A term with a variable and a coefficient

• A term without a variable

• A term that changes based on the equation

What is the role of coefficients in variable terms?

• They show the operation between terms

• They determine the power of the variable

• They indicate the number of variables

• They represent the numerical factor of the variable term

How do you combine terms like 14x, -2x, and -5x?

• Subtract the smaller coefficients from the largest

• Add the variables and subtract the coefficients

• Multiply the coefficients

• Add all the coefficients together

How do you simplify the expression 4x + 7x?

• 3x

• 11

• 28x

• 11x

What method can be used to visually distinguish between variable and constant terms?

• Using different fonts

• Placing them on separate lines

• Writing in different sizes

• Applying different colors or shapes

What is the result of combining -6x and 6x?

• -12x

• 12x

• 0

• x

In combining like terms, what should you do when you encounter fractions?

• Combine them as they are

• Find a common denominator before combining

• Ignore the fractions and focus on whole numbers

• Convert them to decimals

When combining like terms with different variables, how should they be ordered?

• In descending order of their coefficients

• Alphabetically by the variable name

• In ascending order of their coefficients

• Randomly