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College of Applied Medical Sciences Biomedical Technology Department BMT 222 Second Semester 1422-1423 Test no. 1 Student Name ________________________________ Student Number________________________________ DR Saleh AL-Tayyar 9/1/1422 Question 1. Perform the following operations: a) (4x2 – 2xy -3y2) - ( 2x2 - 5xy +y2 ) b) (5x2 + 3xy -y2 ) ( 3x2 –xy +2y2) c) ( -2xy3) (-3xy2) / (2x2y2) (x2 y z) d) y/(x + y) – x/ (x – y) Question 2. Solve the following questions. a) Factor the following. 16 a3 b x – 24 b2 x – 8 b x b) Reduce the following to the lowest term. ( x2 – 2 x + 1) / ( x2 - 1) c) Simplify the following. (9 b2 – 4) / ( 2 – 3 b) d) If n varies inversely as the square root of r, and n = 7 when r =4, find the value of n when r = 9. Question 3. Solve the following questions: a) Find the product and simplify. (2 x + 10 ) / (3 x - 9) .(12 x – 36) / (5 x + 5) . (a x + a) / (4x +20) b) Simplify and write the expression in terms of positive exponents only. ( x -2 y -6 z2) / ( x y -1) c) Solve for the unknown. (x + 2) /4 – 2/3 (x – 2) /3 Question 4. Answer the following. a) Find the value of the unknown which makes the proportion a true statement. 5 : (2 + x ) = 7:15 b) Find the equation of the line containing (1,4) and having the same slope as the line 2x +7y = 8. c) Solve the following equations. 4x – 5y = 3 x–6=y d) If the equation of a given line is y = 2x – 6, find i) the line that is parallel and that passes through (2,2). ii) the line that is perpendicular and that passes through (2,2).