Distributing and Combining Like Terms

The video tutorial explains how to simplify an algebraic expression by distributing a number across terms within parentheses and then combining like terms. The process involves multiplying the number by each term inside the parentheses and then adding or subtracting similar terms to achieve the simplest form of the expression.

What are the two main steps in simplifying an expression?

• Factoring and expanding

• Combining like terms and factoring

• Distribution and combining like terms

• Distribution and factoring

What does it mean when a number is placed outside parentheses in an expression?

• The number is added to the terms inside

• The number is subtracted from the terms inside

• The number is multiplied by each term inside

• The number is divided by each term inside

What is the first step in simplifying an expression with parentheses?

• Combining like terms

• Distributing the number outside the parentheses

• Factoring the expression

• Adding all terms

What operation is performed when distributing a number across terms in parentheses?

• Division

• Multiplication

• Addition

• Subtraction

In the expression -4(x + 3), what is the result of distributing -4 to x?

• -4x

• 12

• 4x

• -12

What is the result of distributing -4 to 3 in the expression -4(x + 3)?

• -12

• 4

• -4

• 12

What is the result of distributing -4 to both terms in the parentheses of -4(x + 3)?

• 4x - 12

• -4x + 12

• 4x + 12

• -4x - 12

After distribution, what are the terms in the expression -4x - 12 - 2x?

• 4x, -12, 2x

• -4x, 12, 2x

• -4x, -12, -2x

• 4x, 12, -2x

What does it mean for terms to be 'like terms'?

• They have the same variable and exponent

• They have different variables

• They have the same coefficient

• They have different exponents

Which of the following are like terms in the expression -4x - 12 - 2x?

• -4x and 12

• -12 and -2x

• -4x and -2x

• -4x and -12