Understanding Algebraic Expressions

The video tutorial explains how to simplify a mathematical expression by distributing a negative sign across terms and combining like terms. It begins with an introduction to the expression, followed by a detailed explanation of distributing the negative sign. The tutorial then demonstrates how to combine like terms and concludes with the simplification of the final expression.

What is the first step when subtracting an entire expression?

• Add the expressions together

• Multiply the expressions

• Subtract each term individually

• Divide the expressions

How can you view the subtraction of an entire expression?

• As adding a positive expression

• As multiplying by zero

• As multiplying by negative one

• As dividing by two

What happens when you distribute a negative sign across an expression?

• All terms become positive

• All terms remain unchanged

• Only the first term changes

• All terms become negative

What is the result of distributing negative 1 to 9y squared x?

• 0

• 18y squared x

• -9y squared x

• 9y squared x

How do you group like terms in an expression?

• By combining terms with the same variables

• By adding different terms

• By multiplying all terms

• By subtracting different terms

What is the result of combining -3xy and -7xy?

• -10xy

• 0

• 10xy

• -4xy

What is the sum of the constant terms 25 and 20?

• 5

• 45

• 40

• 50

Which term cannot be combined with any other in the expression?

• 45

• -10xy

• 4x squared y

• -9y squared x

What is the final simplified form of the expression?

• 4x squared y - 10xy + 45 - 9y squared x

• 4x squared y + 10xy + 45 + 9y squared x

• 4x squared y - 10xy - 45 + 9y squared x

• 4x squared y + 10xy - 45 - 9y squared x

What is the role of the constant term in the expression?

• It is multiplied by the variable terms

• It changes the variable terms

• It remains unchanged

• It is always zero