Combining Like Terms and Simplifying Expressions

The video tutorial explains how to simplify algebraic expressions by combining like terms and using the distributive property. It covers identifying like terms, handling expressions with parentheses, and dealing with exponents. The tutorial also distinguishes between adding and multiplying variables, emphasizing the importance of understanding variable and exponent rules.

What is the first step in simplifying expressions?

• Multiply all terms

• Divide by the largest number

• Add all numbers together

• Combine like terms

Which of the following are like terms?

• 3x and 3x

• 5x and 5y

• 2x and 2y

• 4x and 4z

What is the result of distributing 8 in the expression 8(2y + 3)?

• 8y + 3

• 16y + 24

• 8y + 24

• 16y + 3

How do you simplify 7x + 2x?

• 14x

• 9x

• 7x

• 5x

What is the simplified form of 3(2x + 3) - 5x?

• 6x + 9

• x + 9

• 3x + 9

• 6x - 5x + 9

Why can't y and y^2 be combined?

• They have different coefficients

• They are already simplified

• They are different variables

• They have different exponents

What is the result of y + y + y?

• y

• y^2

• 3y

• y^3

What does y times y times y equal?

• 3y^2

• y^2

• y^3

• 3y

Which of the following is a correct pair of like terms?

• 3x and 8x^2

• 3x^2 and 8y^2

• 3x^2 and 8x^2

• 3x^2 and 8x

What is the key concept in simplifying expressions?

• Adding all numbers

• Combining like terms

• Multiplying all terms

• Dividing by the largest number