Combining Like Terms and Addition

The video tutorial explains the concept of adding like terms using a cubed example. It uses an analogy with apples to illustrate the idea that one of something plus another of the same thing equals two of those things. The concept is then applied to variables, such as 4X + 2X, showing how they can be combined. The tutorial also covers understanding coefficients, particularly in terms of a cubed, and discusses combining like terms with matching exponents. Finally, it explains why terms like a cubed and a squared cannot be combined.

What is the result of adding a cubed and a cubed?

• 2a cubed

• a cubed

• a squared

• a to the power of six

If you have one apple and add another apple, how many apples do you have?

• Four apples

• Three apples

• Two apples

• One apple

If you have 7 apples and add 2 more, how many apples do you have?

• 9 apples

• 10 apples

• 5 apples

• 7 apples

What is the sum of 4X and 2X?

• 2X

• 6X

• 8X

• 4X

Why can 4X and 2X be combined?

• They have different coefficients

• They are like terms

• They have different variables

• They are constants

What is the result of adding 5X and 3X?

• 8X

• 5X

• 3X

• 15X

What is the result of adding 6Y and 4Y?

• 10Y

• 6Y

• 12Y

• 4Y

What is the result of adding 8Z and 2Z?

• 2Z

• 8Z

• 12Z

• 10Z

What is the coefficient of a cubed in the expression a cubed + a cubed?

• 0

• 3

• 1

• 2

Why is it important for exponents to match when combining terms?

• To change the base

• To ensure they are like terms

• To increase the exponent

• To make the expression longer