What is the solution to the equation $$\frac{8}{3x-2} = \frac{2}{x-1}$$ and check for extraneous solutions?

x = 2, x = 2/3, 1 are extraneous solutions

x = 2, and there are no extraneous solutions

Kevin can clean a large aquarium tank in about 7 hours. When Kevin and Laura work together, they can clean the tank in 4 hours. Write and solve an equation to determine how long it would take Laura to clean the tank if she works by herself. Equation: ________________ Answer: ________________

Laura can clean the tank in 6 hours.

Laura can clean the tank in 5 hours.

Laura can clean the tank in 7 hours.

Laura can clean the tank in 8 hours.

Roy and Ryan are building robots for a science project. Ryan built a robot last year by himself in 8 hours and Roy built his in 6 hours. How much time would it take this year if they worked together building a robot?

3.2 hours or 3 hours and 12 minutes

27. Determine whether x = -4 is a solution of the equation $$\frac{4}{x+4} = 3 - \frac{4+2x}{x+4}$$ . Why?

No, x = -4 is not a solution because the equation is undefined at -4. The denominator cannot equal 0.

Yes, x = -4 is a solution because it satisfies the equation.

Unit 10 Test Review - Level

Authored by Karen Branch

Mathematics

12th Grade

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