Combining Like Terms in Algebra

This video tutorial explains how to combine like terms in algebraic expressions. It covers the definition of like terms, which are terms with the same variable and exponent, and provides examples of combining like terms with numbers and variables. The tutorial also includes practice problems to reinforce the concept, emphasizing that terms with different variables cannot be combined.

What does it mean to combine like terms?

• Subtracting constants from variables

• Multiplying terms with different coefficients

• Putting together terms with the same variable

• Adding different variables together

Which of the following is an example of like terms?

• 5 and 5z

• 3x and 4y

• 2x and 3x

• 7 and 7x

If you have 8x and 4x, what do you get when you combine them?

• 12

• 8x

• 4x

• 12x

Which of the following pairs can be combined?

• 3 and 3x

• 2x and 5

• 4y and 2y

• 7 and 7z

What is the result of combining 4 cherries and -2 cherries?

• 2 cherries

• 4 cherries

• 0 cherries

• 6 cherries

Why can't you combine 3 pairs and 4 cherries?

• They are not like terms

• They have different coefficients

• They are both constants

• They are both variables

What do you get when you combine -6 and 3?

• -3

• 9

• -9

• -2

If you have 2x and 4x, what is the result when you combine them?

• 6

• 8x

• 6x

• 2x

What is the result of combining 6y, -5z, and 2z?

• 6y + 3z

• 6y + 7z

• 6y - 7z

• 6y - 3z

What do you get when you combine 4H, 2H, -3Z, 5, and 4?

• 6H - 3Z + 9

• 4H - 3Z + 5

• 6H - 3Z + 5

• 4H - 3Z + 9