# Math Guide

Feb 3rd, 2012
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exam practise for Math

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Student Success CenterCollege Level Math Study Guide for theACCUPLACER (CPT)The following sample questions are similar to the format and content of questions on theAccuplacer College Level Math test. Reviewing these samples will give you a good idea of how the testworks and just what mathematical topics you may wish to review before taking the test itself. Our purposesin providing you with this information are to aid your memory and to help you do your best.I.Factoring and expanding polynomialsFactor the following polynomials:1.2.3.4.5.6.7.8.15a b 45a b 60a b7 x 3 y 3 + 21x 2 y 2 10 x 3 y 2 30 x 2 y6x 4 y 4 6 x 3 y 2 + 8xy 2 82x 2 7 xy + 6 y 2y4 + y2 67 x 3 + 56 y 381r 4 16s 4(x + y )2 + 2(x + y ) + 132232Expand the following:9. (x + 1)(x 1)(x 3)10.(2 x + 3y )211.3x + 312.13.14.((x2)() 2x + 3(x + 1)5(x 1)66x 6)2II.Simplification of Rational Algebraic ExpressionsSimplify the following. Assume all variables are larger than zero.3 2 +5 4 + 4 09 3 5 8 2 + 27813.x41.2.III.4.2 18 5 32 + 7 1625.12x 166 x 1823x + 2x 8 4 x 12Solving EquationsA. Linear1. 3 2(x 1) = x 102.3.x x =12 74.y(y + 2 ) = y 2 62[x (1 3x )] = 3(x + 1)B. Quadratic & Polynomial1.2.3.4.5.05/29/013x 3 = 24227. (x + 1) + x = 2528. 5y y = 18 2 y

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