# Assignment_0 - University of Toronto at Scarborough...

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University of Toronto at Scarborough Department of Computer & Mathematical Sciences MAT A30F Fall 2007 Assignment #0 Algebraic Manipulations and Equations Solve for x : 1. 4 7 + 3 x + 2 = 5 3 . parenleftbigg x = 17 23 parenrightbigg 2. x - 27 + x = 9. ( x = 36) 3. 3 x - 5 - 2 = 2. ( x = 69) 4. 2 x + 7 = 3 x 2 . parenleftBigg 1 3 ± radicalbigg 22 9 parenrightBigg 5. Solve by completing the square: - x + 3 x 2 = - 5. parenleftbigg x = 1 6 ± 59 6 i parenrightbigg 6. 2 x + | x | = - 6. ( { x = - 6 } ) 1

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Simplify: 1. 3 ab 4 ( ab 3 ) 1 5 b 2 . parenleftBig a 8 15 b 59 15 parenrightBig 2. 2 radicalbigg 7 3 - radicalbigg 3 7 - 2 84. parenleftBigg - 73 21 21 parenrightBigg 3. radicalbig x 3 y 4 radicalbig xy 3 . parenleftBig x 7 4 y 5 4 parenrightBig 4. a x 2 ( y 2 x ) 1 2 a 3 x y 2 x . parenleftBig a - 5 x 2 y 2+3 x 2 parenrightBig 5. x 3 y 1 + y 5 x 4 y 5 . parenleftbigg xy 4 + x 4 y 10 parenrightbigg 6. 1 4 x 2 a +3 + 2 b . parenleftbigg 2 + 3 a 4 ax + 4 b + 6 ab parenrightbigg 2
Graphs and Analytic Geometry 1. Find the equation of the line that passes through (1 , 0) and (0 , 1). ( y = - x + 1) 2. Find the equation of the line that passes through (3

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