Adding and Subtracting with Exponents Explained

This video tutorial introduces the concept of exponents, explaining terms like base and coefficient. It demonstrates how to add and subtract terms with exponents by combining like terms, ensuring the base and exponent are the same. The video provides example problems to illustrate these concepts and concludes with encouragement to explore more resources.

What does an exponent represent?

• The number of times a base is divided by itself

• The number of times a base is added to itself

• The number of times a base is subtracted from itself

• The number of times a base is multiplied by itself

What is the coefficient in the term 5x^3?

• 5

• x^3

• x

• 3

What is the base in the term 5x^3?

• 3

• 5

• x^3

• x

What must be true for two terms to be combined?

• They must have the same coefficient

• They must have the same base and exponent

• They must have different exponents

• They must have different bases

How do you combine like terms with exponents?

• Multiply the coefficients

• Add the exponents

• Add the coefficients and keep the base and exponent the same

• Subtract the coefficients

What is the simplified form of 5x^3 + 9x^3?

• 5x^9

• 14x^3

• 14x^6

• 9x^5

In the expression 2x^2 + 5 - 4x^3 + 7x^3 - x^2, which terms can be combined?

• 2x^2 and 5

• -4x^3 and 7x^3

• 5 and -x^2

• 2x^2 and -x^2

What is the result of combining -4x^3 and 7x^3?

• -3x^3

• 3x^3

• 11x^3

• 3x^6

Why do we bring the term with the highest exponent to the front?

• To follow the standard form of a polynomial equation

• To make the equation easier to solve

• To increase the value of the expression

• To decrease the value of the expression

What is the final simplified form of the expression 2x^2 + 5 - 4x^3 + 7x^3 - x^2?

• 3x^3 + x^2 + 5

• 11x^3 + 5

• x^2 + 5

• 3x^3 - x^2 + 5