MA 11100 Exam 2A Fall 2008 1 4 4 4 4 1) Examine the line graphed below. Identify the slope of the line and the y-intercept of the line. 3A , (0, 2) 2 2B , ( 2,0) 3 2C , (0, 3) 3 2D , (0, 2) 3 2E , (0, 2) 3 m m m m m = ? ? = ? ? = ? = ? = ? ? 2) Which of the following statements is not a description about the graph of 5x = ? ? Hint: Sketch the line. A It is a vertical line. B It has an x-intercept of ( 5,0)? . C It has no y-intercept. D It has a slope of 5? . E The point ( 5,10)? is on the line. MA 11100 Exam 2A Fall 2008 2 3) Which statement is true? A The slope of the line 2 5 5 .3 3 3isy x= ? + B The graph of the equation 8 12y ? = is a horizontal line. C The point 52(2,3) is on the line with equation 3 ( 2)y x+ = ? D The slope of any line perpendicular to the line 5 88 51 is y x= ? . E The -intercept of the line 2 12 is ( 12,0)x x y? = ? . 4) Find which equation is parallel to the line 176 ?= xy and through the point (0, 42). A 7 6 252 B 7 6 252 C 6 7 294 D 6 7 294 E 6 7 1 x y x y x y x y x y + = ? = ? ? = ? + = ? = ? 5) If 23 2( ) and ( ) 2, find the value of (3).1x gf x g x x xx f? ??= = + + ? ?? ? ? Above theof None E 4 D 7 22 C 2 21 B 49A MA 11100 Exam 2A Fall 2008 3 6) Find the x-intercept and the y-intercept for the line with equation 1553 =? yx . Use these intercepts to graph the line. Select the correct graph. MA 11100 Exam 2A Fall 2008 4 7) Solve this system of equations and find the value of x. 2 33 1652 ?=? =+ yx yx 3 E D C B 3A 2 1 2 3 2 1 ? ? 8) Solve graphically. The solution is found in which quadrant and what is the value of the x coordinate? 1442 42 ?=+ += yx xy A Q III, x = -2 B Q I, x = 5 C Q III, x = -3 D Q IV, x = 5 E Q IV, x = 2 MA 11100 Exam 2A Fall 2008 5 9) If ( ) 5 8 and ( ) 3 6, find all values of such that ( ) ( ). Write the solution using set notation. f x x g x x x f x g x = ? ? = ? + < A { | 7} B { | 7} C { | 7} D { | 1} E { | 1} x x x x x x x x x x < ? > ? > > < ? 10) Solve the inequality. Which represent the solution? 1 1(6 2) 25 (8 4)2 4y y+ ? > ? ? I II { | 5}y y > III )5,(?? A I only B I and III C II only D III only E II and III 11) Solve this equation. 2 1 4 7x ? + = { } { } { } { } A 2,1 B 2 C 1,4 D 1, 2 E No Solution ? ? ? 5 MA 11100 Exam 2A Fall 2008 6 12) Find an equation in slope-intercept form for a line through points )9,4( and )5,2( ? . A 7 9 B 7 5 1 33C 7 7 D 2 1 E 7 19 y x y x y x y x y x = ? = ? = + = + = ? 13) One plan from Jitterbug Phones charges a customer $140 for a phone and fees to open an account plus payments of $30 a month (for 120 minutes per month). Select the correct model of a cost function C that represents the total amount a customer pays from the beginning of the account as a function of the number of months x. Then, find the amount the customer has paid in 9 months. A ( ) 140 30, $1290 B ( ) 30 , $270 C ( ) 30 140, $410 D ( ) 140 120, $1380 E ( ) 30 120, $390 C x x C x x C x x C x x C x x = + = = + = + = + 14) Mark leaves home on a long business trip traveling straight west on HW 111. One hour after he left, his wife, Leslie, noticed he had forgotten his briefcase containing important papers. She began following his route and drove for 4 hours and averaged 10 miles per hour faster than Mark was driving. How far had each driven when Leslie catches up with Mark? A 40 miles B 50 miles C 160 miles D 200 miles E There is not enough information given. distance rate time Mark Leslie MA 11100 Exam 2A Fall 2008 7 15) A car rents for $35 per day plus 30¢ per mile. Carl is on a daily budget of $65 for the car rent. Which inequality could Carl use to find the mileage that will allow him to stay within his budget? A 35 0.3 65 B 30 65 35 C 0.3 65 35 D 35 0.3 65 E 30 0.35 65 m m m m m + ? ? ? ? ? + ? + ? charlotb Document5