Simplifying Algebraic Expressions and Like Terms

The video tutorial covers simplifying algebraic expressions by distributing and combining like terms, emphasizing the order of operations (PEMDAS). It provides two examples: the first demonstrates basic distribution and combining like terms, while the second example involves more complex expressions. The tutorial highlights the importance of distributing before adding or subtracting and offers tips for identifying like terms.

What does PEMDAS stand for in the order of operations?

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Parentheses, Exponents, Multiplication, Addition, Subtraction, Division

• Parentheses, Exponents, Division, Multiplication, Addition, Subtraction

• Parentheses, Exponents, Multiplication, Division, Subtraction, Addition

Why is it important to distribute before combining like terms?

• Because distribution is a form of addition

• Because distribution is a form of multiplication

• Because combining like terms is a form of division

• Because combining like terms is a form of subtraction

What is the result of distributing 5 times 2x?

• 5x

• 7x

• 10x

• 12x

What do you get when you distribute -4 through x?

• 4

• 4x

• -4

• -4x

What is the combined result of 10x and -4x?

• 4x

• 6x

• 16x

• 14x

What is the final simplified expression for example one?

• 6x + 54y - 22

• 10x + 30y - 10

• 10x + 54y - 22

• 6x + 24y - 12

What is the result of distributing 2 times 4x in example two?

• 6x

• 8x

• 8x squared

• 4x squared

What is the opposite of positive 5x?

• -5x

• 5x

• -x

• x

What is the combined result of 8x squared and -x squared?

• 9x squared

• 7x squared

• 8x

• 7x

What is the final simplified expression for example two?

• 7x squared - 17x - 1

• 7x squared - 17x + 1

• 8x squared - 17x - 1

• 8x squared - 12x + 2