Ardrey Kell High School Algebra Questions

1. George tells you that when variables are in the denominator, the equation becomes unsolvable. George explains, “There is a value for x that makes the denominator zero, and you can’t divide by zero.” Demonstrate to George how the equation is still solvable and explain your reasoning.

2. When looking at the rational function , Bella and Edward have two different thoughts. Bella says that the function is defined at x = ?1, x = 2, and x = 4. Edward says that the function is undefined at those x values. Who is correct? Justify your reasoning.

3. Shawn and Ellie are construction workers. Shawn can complete a concrete job in 4 hours, while Ellie can complete it in 6 hours. The foreman says that it will take them 5 hours to complete it if they work together. Explain each step in solving this equation, and determine if the foreman is correct or not.

4. Carl can paint a room 3 hours faster than Jennifer can. If they work together, they can complete the job in 2 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jennifer to complete this job on her own.