Simplifying Rational Expressions Effectively

The video tutorial covers the basics of collecting like terms and simplifying algebraic expressions. It explains the anatomy of an expression, including variable terms, constant terms, and coefficients. The tutorial demonstrates how to combine like terms and solve practice problems. Advanced concepts such as exponents are also introduced, providing a comprehensive understanding of algebraic simplification.

What is a term that includes a variable called?

• Constant term

• Coefficient

• Variable term

• Expression

Which of the following is a constant term?

• 3

• 4x

• 7x

• -5x

What is the coefficient in the term -5x?

• x

• 0

• 5

• -5

How many total x's are there when combining 7x, -5x, and 4x?

• 4x

• 5x

• 7x

• 6x

What is the result of combining 3, 8, and -1?

• 9

• 12

• 10

• 11

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

• 2m - 6

• 2m + 6

• 12m + 6

• 12m - 6

What happens when you combine 5x, -1x, and 3x?

• 7x

• 6x

• 5x

• 4x

What is the result of combining 7y and 2y?

• 11y

• 10y

• 9y

• 8y

What is the simplified form of 5x^2 + 7x^2?

• 13x^2

• 12x^2

• 11x^2

• 10x^2

How many c^3 terms are there when combining 8c^3, -7c^3, and 16c^3?

• 18c^3

• 15c^3

• 17c^3

• 16c^3