## Study Guide

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## Study Guide

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Exam

- Pages:
- 3
- School:
- The City University of New York
- Course:
- Mat 056 - Intermediate Algebra and Trigonometry

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BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS Practice Problems for the MAT 056 Departmental Final Form Q The actual final exam will have 20 questions Please do not assume that the content or difficulty level of these practice questions are exactly the same as the actual examination We suggest you study the range of topics described on the syllabus as well as the types of problems on this sample test 1 Simplify 2 Solve for p S pr 2 prs 3 Solve the following equation 4 Solve for a b c 5 Solve the following absolute value inequality and graph your solution set a 2 2 x 5 14 b Write solution in interval notation 6 Solve the following equation be sure to check the solutions 7 Solve for 8 Write down a quadratic equation that has roots 9 Find the and intercepts of the line 5x 4 y 20 then graph the line 10 What is the equation of the line that passes through the point 1 1 and is perpendicular to the line 2x 3 y 6 11 What is the equation of the line that passes through the point 4 1 and is parallel to the line 5x 4 y 5 x y 12 What is the slope of the line expressed by the equation 1 2 8 13 Subtract the following complex numbers Then write the answer in standard form Hint leave answer in a bi form 3 4i 2 i 14 Multiply the complex numbers and then write the answer in standard form 4 2i 5 3i 15 Simplify Express the following as a single fraction in simplified form 1 1 1 2 1 2 ab x y x 2 a b c 3 y x 1 1 1 x 2 x y b a 16 Solve for x Express the answer in simplified radical form if possible a 15x 2 11x 6 0 b 17 Simplify the following Express your answer using only positive exponents 2 3 p 3 q 4 6 x 2 y 3 2 a 2 5 b 2 x 1 y 2 3 p q 18 Solve the inequality a 1 4 2a 8 Graph solution on the number line 6x 10y 20 19 Solve the system of equations 3x 5y 25 Revised 10 28 13 1 20 Michael has 1 85 in dimes and Nickels He has a total of 25 coins How many of each does he have 4 5 3 21 Simplify the following completely a 32 b 16 y 4 2 22 Solve for x a 3x 10 x b 2 23 Express

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