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Linear and Quadratic Equations

1.Bill can row 3 mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current. Show your work.

2.Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. Show your work

x^2 + 16 = 0

3.Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.

A student took out two loans totaling $10,000 to help pay for college expenses. One loan was at 8% simple interest, and the other was at 10%. After one year, the student owed $840 in interest. Find the amount of the loan at 10%. Show your work.

4.The formula s = 16t^2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use this formula to solve the problem. (Round answer to the nearest tenth.)

A stuntman jumps from a rooftop 330 ft off the ground. How long will it take him, falling freely, to reach the ground? Show your work.

Solution Summary

This solution is comprised of detailed step-by-step calculations and explanation of the given problems. The solution also provides students with a clear perspective of the underlying mathematical concepts.