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Review Sheet 1 Solutions

Review Sheet 1 Solutions - Review Sheet 1 Solutions Math...

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Unformatted text preview: Review Sheet 1 Solutions Math 112 Fall 2008 1. Simplify a 3 b- 4 c 2 a 5 b 2 c- 4 2 c 12 a 4 b 12 2. Simplify 3 √ 108 + 3 √- 81 + q 3 √ 9 3 3 √ 4- 2 3 √ 3 3. Rewrite the expression using only rational exponents: 5 s √ x 3 √ y 3 √ z 2 x 1 / 10 y 1 / 15 z 2 / 15 4. Factor 6 x 3 + 13 x 2- 5 x x (3 x- 1)(2 x + 5) 5. Simplify 5 2 x + 2- 3 x 2 + x + 2 x + 1 9 x- 6 2 x ( x + 1) 6. Solve for x 1 2- 1 x = 1 x- 1 3 x = 12 / 5 1 2 7. Find the equation of the line through the point (1 , 2) and perpendicular to the line through the points (- 1 , 3) and (2 ,- 7). y = 3 10 x + 17 10 8. Determine the center and radius of the circle given by the equation 4 x 2- 4 x + 4 y 2 + 8 y- 59 = 0 Center: (1 / 2 ,- 1) Radius: 4 9. Determine the symmetries of | x + y | = 2 It is symmetric about the origin only. 10. Solve the following: A)2 y 2- 5 y- 2 = 0 y = 5 ± √ 41 4 B) x 6- 10 x 4 + 24 x 2 = 0 x = 0 , ± √ 6 , ± 2 11. The difference of two positive numbers is one-third of their sum. The sum11....
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Review Sheet 1 Solutions - Review Sheet 1 Solutions Math...

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