Combining and Simplifying Expressions

The video tutorial explains how to simplify algebraic expressions by using the distributive property and combining like terms. It provides several examples, each demonstrating different scenarios: applying the distributive property, combining like terms, and recognizing when no simplification is possible. The tutorial classifies each step in the simplification process, helping learners understand the methodology behind simplifying expressions.

What is the first step in simplifying the expression 4(x - 3) + 5x?

• Combining like terms

• Adding constants

• Using the distributive property

• Factoring

After distributing in the expression 4(x - 3) + 5x, what is the next step?

• Factor the expression

• Subtract variables

• Combine like terms

• Add constants

In the expression -2y^2 + 4x + y^2 - 2x, what are the like terms?

• -2y^2 and 4x

• Both b and c

• 4x and -2x

• -2y^2 and y^2

Why can't the expression -15x^2 + x - 3 be simplified further?

• It is already in simplest form

• It has no variables

• It has no constants

• It has no like terms

What is the result of combining like terms in the expression 6W + 3W?

• 6W

• 3W

• 9W

• 0W

In the expression -5(2m + 3) + 3(n - 2), what is the result of distributing -5?

• -10m - 15

• -10m + 15

• 10m + 15

• 10m - 15

What is the simplified form of the expression -4.2(6Q + 1)?

• 25.2Q - 4.2

• -25.2Q + 4.2

• 25.2Q + 4.2

• -25.2Q - 4.2

Why is no further simplification possible for the expression 4P - 9 + 6r?

• It has no like terms

• It has no constants

• It is already in simplest form

• It has no variables

What is the result of combining like terms in the expression 7xy - 7x + 4xy - 5x?

• 11xy - 2x

• 11xy + 2x

• 3xy - 2x

• 3xy + 2x

What is the simplified form of the expression -2y^2 + 4x + y^2 - 2x?

• y^2 - 2x

• y^2 + 2x

• -y^2 + 2x

• -y^2 - 2x