Please Read Carefully

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1 Practice Math 0 Intermediate Algebra Challenge Exam Please Read Carefully Passing of the challenge exam allows you to take any course that says Prerequisite: Math 0 or Equivalent. You do not receive units or a grade for passing the exam. The attached algebra problems cover some of the topics you may wish to review before attempting the LMC Intermediate Algebra (Math 0) Challenge Exam Time: 90 minutes. Exam Information When/Where: The exam is scheduled individually in MA 0 (Pittsburg) or in room (Brentwood). Please contact one of the Math Lab Coordinators at (9) 9-8 ext 70 or ext 8 (Pittsburg), or 68 (Brentwood) in order to make an appointment. Appointment Date: Passing Scores: You will need to answer 0 or more problems out of correctly to qualify for enrollment into a statistics course. You will need to answer or more problems out of correctly to qualify for enrollment into a pre-calculus course or any course beyond statistics. Preparation: Study attached sample problems. Review as needed. Review material may be found in any current textbooks, many of which have titles Intermediate Algebra. The questions provided in this packet are from: Title: Authors: Publisher: Intermediate Algebra, TH edition Bittinger, Keedy, and Ellenbogen Addison Wesley You may use: Pencil, and eraser. Scratch paper will be provided. NO CALCULATOR ALLOWED. Identification: Photo ID required - Drivers License/CA ID or a Passport. Results: Usually available within week. Repeat Attempts: Exam may be taken a total of times. Revised: /8/0

2 Solutions ) C ) D ) E; x = ) B ) D 6) A 7) A 8) D 9) B 0) A ) C ) C ) D ) E; x =, ) C 6) A 7) C 8) A 9) E 0) B ) B ) A ) D; ) A ) E 6) B 7) A 8) D 9) B 0) C ) A ) C ) D Revised: /8/0

3 . Change 6 7 to percent notation. 0.7% B..7% C..7% D. 7. %. + = B. C. D.. The slope of a line passing through the two points (, ) and (, -) is B. C. D. -. x = x + x - B. x - x + C. x - x - D. x - x +. The slope of a line perpendicular to the line with the equation x - y + = 0 is B. C. D. 6. Solve the inequality x - 7 > x + 6. x < B. x > C. x < D. x > 7. If y varies inversely as x, and y = 8 when x = 6, find x when y =. B. C. D. 8. Simplify a b a b a b B. a b C. a b 6 b D. a 0 Revised: /8/0

4 x x + x 9. Divide and simplify x ( x ) B. x + x + x + x x x + x + C. ( )( ) D. 0. Which of the following is a factor of x + x - ax - ax? x - a B. x - C. x D. ax. Combine terms and simplify: B. - C. D. 8. Solve A = h (a + b) for h. a +b a h = a a + b B. h = ( ) a C. h = a + b ( a + b ) D. h = a. Solve the system of equations for x : x + y = -, x + y =. x = - B. x = C. x = D. x = -. Solve for x : x - x =.,- B., C., D.,-. Solve for x: = x x x =, x = B. x = 0, x = C. x = 0, x = 6 D. x = 6, x = 6. Simplify ( ) / 0 ( a + b) ( a + b) (Assume a and b are positive.) a + b B. 7. Rationalize the denominator: / ( a + b) C. ( b) / a + D. ( a + b) E. ( a + b) B. + C D. - y 8. If Revised: /8/0 + y + y + a = p(y) +, find p(y) and a. hint: p(y) is the quotient and a is the remainder. y y p(y) = y + y +, a = 7 B. p(y) = y + y +, a = C. p(y) = y + y-, a = D. p(y) = y + y -, a = -

5 9. One solution of x + x - = 0 is - B. - C. - D. E Express in terms of log (x), log(y) and log (z): log z. xy logz logx ( )( logy) / B. log z - log x - log y C. (log z -log x - log y) D. logz ( logx)( logy) E. log z - log x + log y. 8 / = B. C. 6 D. 6. Express as a single logarithm and simplify: log a 7 - log a 0 + log a. 8 7 log a B. log a C. log a D. log a 6 0. log = 6 B. - C. D. -. What is the y-intercept of the graph y = log (x+)? 0 B. C. D.. Which of the following looks most like the graph of y = x? A) y B) y C) y D) y E) y x x x x x 6. Solve for x: log x =. x = 6 B. x = 9 C. x = 8 D. x = Revised: /8/0

6 7. The sum of two positive numbers is and their difference is. Find the smaller of the two numbers B. C. D. 8. Bob is years older than his daughter Jane. Three years ago, Bob was twice as old as Jane. What is Jane's present age? 6 B. 7 C. D. 8 E. 9. Paul can paint a room in hours. Sally can paint the same room in hours. How long will it take for them to paint the room if they work together? hours B. 8 7 hours C. hours D. 8 hours 0. The base of a triangle is inches less than its altitude. The area is 8 square inches. Find the base of the triangle. 9 inches B. 6 inches C. inches D. inches. At :00 P.M. two cars start toward each other from towns 0 miles apart. If the rate of one car is 0 mph faster than the other, find the rate of the faster car if the two cars meet at :00 P.M. mph B. mph C. 0 mph D.0 mph. A stereo dealer marks up all his merchandise % over his cost. If he sells a radio for $0.00, how much did he pay for it? $6.0 B. $. C. $9. D. $.0 E. $0.69. Two investments are made totaling $800. Part of the money is invested at 8% and the rest at 9%. In the first year they yield $ in simple interest. How much money is invested at 8%? $80 B. $980 C. $600 D. $000 Revised: /8/0