Refreshing the Operations on Rational Expressions

• 
• 
• 
• 

Range for the in below plot will be

• All real numbers except 5
• 
• 
• None

Domain for the in below plot will be

• All real numbers except 5
• 
• 
• None

If y varies inversely as x and y = 0.5 when x = 20, find y when x = 10.

• 1
• 3
• 5
• 7

If y varies inversely as x and y = 0.2 when x = 20, find y when x = 1.

• 2
• 4
• 6
• 8

What must be true for the simplified expression to be considered algebraically equivalent to the original?

• The simplified expression must be in its simplest form.

• The simplified expression must have the same constraints as the original.

• The simplified expression must have a higher degree.

• The simplified expression must include all variables from the original.

Why is it necessary to impose constraints on the variable x in the simplified expression?

• To ensure the simplified expression can be graphed.

• To make the expression easier to understand.

• To increase the complexity of the problem.

• To maintain the domain of the original expression.

What happens if x equals zero in the original expression involving division?

• The expression remains unchanged.

• The expression becomes undefined.

• The expression simplifies to 1.

• The expression simplifies to 0.

How can we make a simplified expression algebraically equivalent to the original expression involving division?

• By adding more variables.

• By multiplying the numerator and denominator by the same number.

• By stating x cannot equal zero.

• By dividing both the numerator and denominator by x.

What is the result of simplifying the division of two rational expressions, given the constraints?

• A complex fraction.

• A simplified fraction and may be without x.

• A polynomial of degree 4.

• An expression equivalent to the original without constraints.