Simplifying Expressions by Combining Like Terms

This video tutorial by Mr. J introduces the concept of combining like terms in algebraic expressions. It explains that like terms have the same variables raised to the same powers and demonstrates how to simplify expressions by combining these terms. The video provides four examples, starting with basic expressions and progressing to more complex ones, including those with negative terms. Strategies for organizing and simplifying expressions are also discussed.

What are like terms?

• Terms with different coefficients

• Terms with different variables

• Terms with the same variables to the same powers

• Terms with the same coefficients

What is the simplified form of 9x + 3x?

• 3x

• 6x

• 9x

• 12x

In the expression 8G + 7 + 5G + 2, which terms are like terms?

• 8G and 7

• 7 and 2

• 8G and 5G

• 5G and 2

What is the simplified form of 8G + 7 + 5G + 2?

• 8G + 7 + 5G + 2

• 13G + 7

• 8G + 5G + 9

• 13G + 9

In the expression 6y^2 + 10y + 2y^2 + 3y + y, what is the coefficient of the term y?

• 10

• 3

• 1

• 14

What is the simplified form of 6y^2 + 10y + 2y^2 + 3y + y?

• 8y^2 + 10y

• 8y^2 + 14y

• 6y^2 + 2y^2 + 14y

• 6y^2 + 10y + 2y^2 + 3y + y

In the expression 7x + 2y - 4x + 2y, what is the simplified form of the x terms?

• 11x

• -4x

• 7x

• 3x

What is the simplified form of 7x + 2y - 4x + 2y?

• 3x + 4y

• 7x + 4y

• 7x - 4x + 4y

• 3x + 2y

What is the benefit of rewriting an expression with only addition?

• It makes the expression longer

• It helps identify all terms, especially negative ones

• It changes the value of the expression

• It makes the expression more complex

What is the simplified form of 7x + 2y + -4x + 2y?

• 3x + 2y

• 7x + 4y

• 3x + 4y

• 7x - 4x + 4y