Which method should be used to solve the system? Explain your answer, including a description of the first step.x2 - y2 = 4x + 8y = 9
What will be an ideal response?
Substitution should be used, because using elimination would mean introducing an xy term into the second equation unnecessarily. The second equation should be solved for x.
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Factor by grouping.3xy + 6x + 7y + 14
A. (3x + y)(7y + 2) B. (3x + 7y)(y + 2) C. (3x + 7)(y + 2) D. (3x + 2)(y + 7)
Divide and express the result in standard form.
A. 1 + 10i B. -1 + 3i C. 1 - 3i D. 1 + 3i
Solve the problem.The highway speeds of 100 cars are summarized in the frequency distribution below. Find the grouped mean rounded to the nearest tenth of a mile per hour. 
A. 60.8 mph B. 54.5 mph C. 58.1 mph D. 55.3 mph
Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $30 and on an SST ring is $40?
A. 12 VIP and 12 SST B. 8 VIP and 16 SST C. 16 VIP and 8 SST D. 0 VIP and 24 SST