Combining Like Terms and Simplifying Expressions

The video tutorial covers the concept of like terms in algebra, explaining how to identify and combine them to simplify expressions. It includes examples and practice exercises, emphasizing the importance of understanding variables, constants, and coefficients. The tutorial also addresses handling exponents in expressions and applying these concepts to solve geometry problems, such as finding the perimeter of figures.

What are the terms that do not change unless an operation is performed on them?

• Coefficients

• Variable terms

• Exponents

• Constant terms

Which of the following is a variable term?

• 3x

• 1

• 8

• 7

What is the coefficient in the term 7x?

• 7

• x

• None

• 7x

Simplify the expression: 3x + 6x

• 3x

• 9x

• 12x

• 6x

What is the simplified form of 7m - 5m - 6?

• 12m

• 7m - 11m

• 2m - 6

• 2m + 6

When combining like terms with exponents, what should you not change?

• The constants

• The variables

• The exponents

• The coefficients

Simplify the expression: 5x^2 + 7x^2

• 35x^2

• 12x^2

• 2x^2

• 12x

Which of the following are like terms?

• a^2b and ab^2

• a^2 and b^2

• a^2b and a^2b

• a and b

What is the perimeter of a figure with sides 2x + 1, x, and 3x?

• 5x + 1

• 6x

• 5x

• 6x + 1

Combine the terms: -1a + 5a + 4ab

• 4ab

• 6a + 4ab

• 4a

• 4a + 4ab