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Stony Brook UniversityProficiency AlgebraMathematics DepartmentMAT 103, Fall 2014Julia ViroPractice Midterm 21.In a triangle ABC, the side BC is 3 cm shorter than the side AB, and the side AC is twiceas long as BC. Find the lengths of the sides of the triangle, if its perimeter is 15 cm. (Solve theproblem by composing an equation. Answers by guessing will be given no credit.)2.Ann drove in her car 2 hours at a constant speed and then reduced the speed by 15 mi/hand drove 3 hours more.Find the speed of the car on both segments of Ann’s trip, if Anndrove totally 275 miles. (Solve the problem by composing an equation. Answers by guessingwill be given no credit.)3.Calculate:a)| -1- | -1||b)| -1-2| - |3-4|c)|| -1| - | -2|+| -3||4.Solve the equations and check your solution by substitution (when possible):a)|3 + 2x|= 4b)-3 +|1-2x|= 2c)3 +|1-2x|= 2