Combining Like Terms and Simplification

Nicole explains the concept of like terms, focusing on constants and variables. She provides a definition and demonstrates how to combine like terms through various examples. The video includes practice problems and advanced examples to reinforce understanding. Key points include ensuring variables and exponents match to combine terms, and maintaining the exponent's appearance during simplification.

What are constants in the context of like terms?

• Numbers with variables attached

• Numbers without variables attached

• Variables with exponents

• Expressions with multiple terms

How do you combine constant like terms?

• Ignore them

• Add or subtract them as they appear

• Multiply them

• Divide them

What must be identical for terms with variables to be considered like terms?

• The number of terms

• The constants

• The variables and their exponents

• The coefficients

What happens if the exponents of variables do not match?

• The terms are multiplied

• The terms become constants

• The terms are not like terms

• The terms can still be combined

When combining like terms with variables, what should you do with the coefficients?

• Multiply them

• Divide them

• Ignore them

• Add or subtract them

In the expression 2x + 3y + 4, why can't it be simplified further?

• The exponents are different

• The variables are different

• The coefficients are different

• The constants are different

What is the simplified form of the expression 2x + 3x?

• 5x

• 6x

• 2x + 3x

• x

In the expression x^2 + x + 12 + 7, which terms can be combined?

• x^2 and x

• 12 and 7

• x^2 and 12

• x and 12

What is the result of combining the constants 12 and 7 in the expression x^2 + x + 12 + 7?

• 18

• 21

• 19

• 20

In the expression 3x + 1x + 5, what is the simplified form?

• 1x + 5

• 3x + 5

• 5x + 5

• 4x + 5