Combining Like Terms in Algebra

This video tutorial covers the concept of combining like terms in algebraic expressions. It begins with an introduction to the topic and explains key vocabulary terms such as terms, coefficients, constants, and like terms. The tutorial provides examples of like and unlike terms, followed by exercises on grouping like terms. It concludes with practical examples of combining like terms in algebraic expressions, emphasizing the importance of matching variables and exponents.

What is a term in algebra?

• A variable with an exponent

• A number, variable, or product of numbers and variables

• A product of numbers and variables

• A number or variable alone

Which of the following is a coefficient?

• 3 in 3y^2

• 2 in 2x

• x in x^2

• x in 2x

Which of the following pairs are like terms?

• 2x^2 and 2x

• 3x and 3y

• 5x and 10x

• 4 and 4x

Why are -7x and 6x^2 not like terms?

• They are both constants

• They have different exponents

• They have different variables

• They have different coefficients

Which of the following is a constant term?

• x^2

• 10

• 3y^2

• 2x

What is the result of combining 2x and 5x?

• 7

• 5x^2

• 2x^2

• 7x

What is the result of 3x^2 - 9x^2?

• 12x^2

• -12x^2

• 6x^2

• -6x^2

In the expression 4 + 3x - 1 - 2x, which terms are constants?

• 4 and 3x

• 3x and -2x

• 4 and -1

• 3x and -1

Simplify the expression: 7x^2 - 4x + 5 + 6x.

• 7x^2 + 2x + 5

• 7x^2 - 10x + 5

• 7x^2 - 2x + 5

• 7x^2 + 10x + 5

What is the simplified form of 3m - 2 + 6m + 3?

• 3m + 6m + 1

• 9m - 1

• 3m + 6m - 2 + 3

• 9m + 1