Simplifying Expressions and Like Terms

The video tutorial explains how to simplify a mathematical expression by identifying and combining like terms. It begins with an introduction to like terms, followed by distributing a term across others in the expression. The process of combining like terms is then demonstrated, leading to the final simplification of the expression.

What is the first step in simplifying an expression?

• Add all constants

• Combine all terms

• Identify like terms

• Multiply all coefficients

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

• They have the same constant term

• They are next to each other in the expression

• They have the same variables raised to the same power

• They have the same coefficients

What is the result of distributing 15xy to -4?

• -60xy

• 60xy

• -15xy

• 15xy

How do you calculate the power of x when multiplying x by x squared?

• x to the fourth power

• x to the third power

• x to the second power

• x to the fifth power

What is the result of multiplying 15xy by 2y?

• 15xy squared

• 30xy squared

• 15xy

• 30xy

Which terms can be combined with 30xy squared?

• 70

• 4xy squared

• 15xy

• 20x to the third y to the third

What is the coefficient of the combined xy squared terms?

• 4

• 20

• 34

• 30

What happens to terms that cannot be combined?

• They are removed

• They remain unchanged

• They are added to the constant

• They are multiplied by zero

What is the final constant term in the expression?

• 20

• 34

• 70

• 60

What is the final step in simplifying the expression?

• Multiply all terms

• Divide by the highest power

• Add all remaining terms

• Subtract all coefficients