MAT141 First Day Diagnostic Fall 2009 1 NAME:___________________________________________________ 1. Let 2( ) 2 6 1f x x x. What is ( 2)f? a) 3 b) -21 c) -5 d)19 2. A cell phone company offers two plans. Plan A costs $75 per month for unlimited local calling. Plan B costs $30.00 per month plus an additional $0.35 per minute charge for local calling. Which of the following equations determines the number of minutes, m, for which the two plans cost the same? )75.00 0.35)75.00 (30.00 0.35))75.00 30.00 0.35)30.00 75.00 0.35axbxcxdx 3. What is the slope of the given graph? )2)1/ 2)1/ 2)2abcdMAT141 First Day Diagnostic Fall 2009 2 4. Multiply2(3 2)x 2222)9 4)9 4)9 12 4)9 12 4axbxc x xd x x 5. Divide54280 3216xxx 323452)5 2)5 323))80 2a x xb x xcxd x x 6. Find the solution to 5 27 732xxy 95),11 11) 1, 1) This system has no solution.) 1, 1a x yb x ycd x y 7. Solve2( 4) 25x. ) 29) 9, 1) 1) 21axb x xcxdxMAT141 First Day Diagnostic Fall 2009 3 8. Find the solution in interval notation for x> -4 and x< -2. )( , 2))( 4, 2)) (- ,-4) (-2, ))[ 4, 2]abcd 9. A company manufactures CDs for home computers. It sells x CDs a day for p dollars per CD. Use the graph to find the price, p, that will bring in the maximum revenue. $ p )$1600)$10) $4)$8abcdMAT141 First Day Diagnostic Fall 2009 4 10. Use the quadratic formula to solve 28 14xx. ) 4 2) 4 2 30) 4 2 15) 4 2axbxcxdx 11. Multiply and simplify: 22222 4 2 32 2 5 6y y y yy y y ( 3))( 1)( 3))1( 1)) -2)1yyayyybyyycyydy 12. Determine the number and kind of solution to the quadratic equation 22 3 1uu. a) one complex solution b) two complex solutions c) two real solutions d) one real solution 13. Find the equation of the line through (6,2) and ( -2,-2). 1)52) 2 101) 12) 2 14a y xb y xc y xd y xMAT141 First Day Diagnostic Fall 2009 5 14. What is the LCD of 239xx and 826x? 22)8( 9) 3 (2 6))2( 3)) (x 3)( 3))2( 3)( 3)a x x xbxcxd x x 15. If you toss a ball into the air, the distance of the ball above your hand at any time is given by the function2( ) 32 16 for 0 2h t t t t. The height of the ball is measured in feet. What is the maximum height of the ball? )16 feet)32 feet) Cannot be determined from the information given in the problem.)48 feetabcd 16. Find the equation of the line shown in the graph: 1)22) 2 41)42) 2 4a y xb y xc y xd y
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