Mathematics | Discrete mathematics » Pre-Calculus, Sample Test

Source: http://www.doksinet 9/2013 PRE-CALCULUS (MATH ANALYSIS) SAMPLE TEST PLACEMENT EXAMINATION Download the complete Study Packet: http://www.glendaleedu/studypackets Students who have taken 4 years of high school mathematics including Principles of Mathematics or its equivalent with grades of “C” or better are eligible to take this examination. There are a total of 40 questions on the examination. The test is timed for 60 minutes No calculators are allowed Sample questions from each of the eight areas below are on the back of this sheet. Students who receive a satisfactory score may enroll in the following courses: Math 103Calculus The following topics are covered by the examination: 1. Elementary operations with numerical and algebraic fractions 2. Operations with exponents and radicals 3. Linear equations and inequalities 4. Polynomials and polynomial equations 5. Functions 6. Trigonometry 7. Logarithmic and exponential functions 8. Mathematical modelingword problems

Source: http://www.doksinet Typical questions from each of the competency areas of the Pre-Calculus Test 1. Elementary operations with numerical and algebraic fractions 3x − 2 2 − = x+2 x−2 3x − 4 3 (A) (B) 2 x+2 x −4 (C) 3x x −4 (D) 2 x(3x − 10) x2 − 4 (E) 3 x( x − 4) x 2 − 4x + 4 2. Operations with exponents and radicals x 3a + 2 = x 2 a −1 (A) x a +3 (B) x a −3 (C) x 5 a −1 (D) x a +1 (E) x 3 3.Linear equations and inequalities For what value of t does (A) 6 (B) 9 4 2t − 1 =2 3t + 4 3 (C) 2 (D) 9 4 (E) There is no value t satisfying this equation 4. Polynomials and polynomial equations If (x – 1) (x −4) + 2 (x – 1) (x + 2) = (x – 1) P, then P = 2 (A) x 2 −2 (B) x 2 (C) x (x + 2) (D) x 2 +2 (E) (x + 2) 5. Functions 2 If f(x) = 2x + 5 and g(x) = 1 x , then f(g(2) ) = (A) 3 6. Trigonometry If sin Ø = (A) 3 2 (B) 1 (C) 1 (D) 2 (E) 9 π 3 and 0 ≤ Ø ≤ , then tan Ø = 2 5 (B) 4 3 (C)

5 4 (D) 4 5 (E) 3 4 (D) 1 3 (E) 1 9 (E) 4 15 7. Logarithmic and exponential functions log 3 27 = (A) 81 (B) 9 (C) 3 8. Word Problems 2 1 4 is of of a certain number , then that number is 3 2 5 15 5 5 5 (A) (B) (C) (D) 4 3 6 12 If 2 Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet Source: http://www.doksinet