# test 1 - x-y-8 z = y + 4 z = 8 3 y + 14 z = 22 8. (8 pts)...

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Math 201-01 Exam 1 Fall 2007 Name: ID: Date: Directions: Show all work. No work equals no credit. You may use a basic scientiﬁc calculator, but no graphing calculators. Use proper notation. 1. (7 pts) Solve 2 x x - 1 + 1 3 = 5 6 + 2 x - 1 . 2. (7 pts) Solve 3 x 4 - 1 6 < x - 2( x - 1) 3 . Express the solution set in both interval notation and geometrically on the number line. 3. (12 pts) Given f ( x ) = 2 x 2 - x + 3, ﬁnd and simplify the following: (a) f ( x + h ). (b) f ( x + h ) - f ( x ) h .

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4. (10 pts) For f ( x ) = 2 x and g ( x ) = x 4 + 5, ﬁnd the following: (a) ( f + g )(0) (b) ( f × g )( x ) (c) ( f g )( x ) (d) ( g f )( x ) 5. (7 pts) Each day, a young person should sleep 8 hours plus 1 4 hour for each year that the person is under 18 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x . 6. (8 pts) A woman invests \$500,000 in two rental properties. Her total annual return is \$53,000. It turns out that the annual return of property is %10 and %12 respectively. Find the amount invested in each rental property.
7. (8 pts) Use elimination to solve the system. Label each operation.

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Unformatted text preview: x-y-8 z = y + 4 z = 8 3 y + 14 z = 22 8. (8 pts) Solve x x-2-1 = 3 x + 1 . 9. (5 pts) Solve ( x + 1) 2 = 2. 10. (8 pts) If the supply and demand functions for a commodity are given by p-q = 2 and ( p-1) q = 20, respectively, ﬁnd the market equilibrium. 11. (12 pts) If total costs are C ( x ) = 2000 + 40 x + x 2 and if total revenues are R ( x ) = 130 x , ﬁnd: (a) The break-even points. (b) The output that maximizes proﬁt. 12. (8 pts) The monthly charge for propane in a small town is given by f ( x ) = ( 38 if 0 ≤ x ≤ 20 38 + 0 . 4( x-20) if x > 20 where x is usage in hundreds of gallons and f ( x ) is in dollars. Find the monthly charge for the following usages: (a) 30 gallons (b) 3000 gallons (c) 4000 gallons (d) Graph the function x 10 20 30 40 y 10 20 30 40 50 Bonus 5 pts: Simplify the following ± 3 m 1 / 6 n 1 / 3 4 n-2 / 3 ² 2 using only positive exponents....
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## This note was uploaded on 10/20/2010 for the course MATH 201 taught by Professor Smith during the Fall '08 term at Washington State University .

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test 1 - x-y-8 z = y + 4 z = 8 3 y + 14 z = 22 8. (8 pts)...

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