Simplifying Algebraic Expressions and Like Terms

The video tutorial covers the process of simplifying algebraic expressions, focusing on understanding terms, like terms, and non-like terms. It explains key algebraic concepts such as variables, constants, and coefficients, and emphasizes the importance of following the order of operations. The tutorial includes examples of simplifying expressions and applies these concepts to solve perimeter problems.

What is the main focus of the lesson?

• Factoring polynomials

• Solving equations

• Simplifying algebraic expressions

• Graphing functions

What is a term in an algebraic expression?

• A number without a variable

• A symbol representing a quantity that can change

• The parts of the expression that are being added together

• The number in front of the variable

Which of the following are like terms?

• 2x and 2x^2

• 2x^2 and -3x

• 2x^2 and -3x^2

• 2x and 3y

What is a constant in an algebraic expression?

• A symbol representing a quantity that can change

• The parts of the expression that are being added together

• A number that does not change

• The number in front of the variable

What is the coefficient in the term 5x?

• None of the above

• 5

• 5x

• x

Which operation should be performed first according to the order of operations?

• Addition

• Multiplication

• Exponents

• Parentheses

Simplify the expression: 3x + 6x

• 3x^2

• 9x

• 6x^2

• 9

Combine the like terms: 5h + 7h

• 12

• 12h

• 2h

• 35h

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

• 6x + 1

• 5x + 1

• 6x + 2

• 5x + 2

Simplify the expression: 4x^2 - 3x^2 + 2x + 8x - 7 - 6

• x^2 + 10x - 1

• x^2 + 6x - 1

• x^2 + 10x - 13

• x^2 + 6x - 13