# SampleProblems - Stony Brook University Mathematics...

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Stony Brook UniversityMAP 103Mathematics DepartmentProficiency AlgebraJulia ViroFall 2014Sample ProblemsThe list below shows which types of problems are expected to be discussed in class and what isthe appropriate level of difficulty.Week 1 (August 25-29)Integers. Operations of addition and multiplication and theirproperties (commutativity, associativity and distributivity).Parentheses and order ofoperations. Rational numbers. Addition, subtraction, multiplication and division of frac-tions. Complex fractions.1.Calculate without pen and paper:a)69 + 37-19 + 63,b)2·38·5,c)25·2014·4,d)(35 + 47)-(31 + 17)2.Calculate without calculator:a)71-21·4,b)5/7-4/37/1÷2/7,c)-3-34·2-58+3÷23.Bring the fraction128280to simplest terms.Week 2 (September 1-5.No classes September 1 and 2)Powers with integerexponents. Exponential rules. Real numbers and operations on them.1.Calculate without calculator:a)(-3)2+ 2-3b)((-1)3)5c)24·3-2·22·33d)(-5)2·38(-3)5·53e)3π2-3-π22(leave the answer in terms ofπ)Week 3 (September 8-12)Notion of variable.Algebraic expressions.Composingalgebraic expression after word description.1.The length of a side of a square isx. What is the perimeter of the square? What isthe area of the square?2.Bob earnsxdollars per hour, Ann earns twice as much. How much more will Annearn than Bob, if she will work 3 hours and he will work 2 hours?3.A pair of jeans costsxdollars. What will be the price of it on a 35% sale?4.On Monday, Jim spentxmin playing his favorite video game. Next Tuesday, he played10 min less than on Monday. On Wednesday, he payed three times more than Mondayand Tuesday together. How much time did spend Jim playing these three days?5.Two identical boxes containxchocolate bars. How many chocolate bars will be in fivesuch boxes?6.Cam has to cover the distance ofxmiles. He went 3 hours with a constant speed ofymiles per hour. How many miles does he have left to go?
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Chapter 5 / Exercise 50
Intermediate Algebra
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