HCC COLLEGE PLACEMENT TEST MATHEMATICS

Transcription

1 HCC COLLEGE PLACEMENT TEST MATHEMATICS PLEASE READ BEFORE TAKING THE MATHEMATICS PORTION OF THE COLLEGE PLACEMENT TEST It is highl recommended that ou review this packet BEFORE ou take the College Placement Test for mathematics. Attached ou will find the following documents: ) A description of the mathematics components of the CPT. ) Sample questions which are intended to be representative but not an ehaustive list. Please see the resources listed on page for in depth stud and further review. ) The Curriculum Flow Chart showing the mathematics course sequence offered at HC Please be aware that our score on the CPT will determine our placement in the HCC mathematics course sequence. There are no re-takes ecept for etenuating circumstances I have read and understood the above statements relating to the mathematics portion of the College Placement Test. Signature Date

2 Accuplacer CPT Mathematics Test There are three Accuplacer CPT Math tests: Arithmetic, Elementar Algebra, and College Level Math. All students will take two of these tests, starting with the Elementar Algebra test. If the score on the Elementar Algebra test is less than 7, the student has placed into remedial math and will take the Arithmetic test to help further determine placement into MAT or below. If the score on the Elementar Algebra score is at least 7, the student has placed into collegelevel math, and will take the College Level Math test to further determine placement into MAT or higher. The following describes the topics covered on each of the three math eams. Arithmetic Test (AR) The Arithmetic test measures students abilit to perform basic operations and to solve problems that involve fundamental arithmetic concepts. Students are administered 7 questions on this test, which covers three content areas:. Whole Numbers and Fractions a. addition, subtraction, multiplication, and division b. recognizing equivalent fractions and mied numbers c. estimating. Decimals and Percents a. addition, subtraction, multiplication, and division with decimals b. recognition of decimals, fraction and percent equivalencies c. percent problems and estimating problems. Applications a. rate, percent, and measurement problems b. simple geometr problems. c. distribution of a quantit into its fractional parts. Elementar Algebra Test (EA) The Elementar Algebra test measures student s abilit to perform basic algebraic operations and to solve problems that involve elementar algebraic concepts. Students are administered questions on this test, which covers three content areas:. Integers and Rationals a. computations with integers and negative rationals b. the use of absolute values c. ordering

3 . Algebraic Epressions a. evaluations of simple formulas and epressions b. adding, subtracting, multipling and dividing monomials and polnomials c. evaluation of positive rational roots and eponents d. simplifing algebraic epressions e. factoring. Equations, Inequalities, and Word Problems a. solving linear equations and inequalitites b. solving quadratic equations b factoring c. solve verbal problems presented in an algebraic contet, including geometric reasoning and graphing d. translation of written phrases into algebraic epressions. College Level Math (CLM) The College Level Mathematics tests measures students abilit to solve problems that involve college-level mathematics concepts. Students are administered questions on this test, which covers si content areas:. Algebraic Operations a. simplification of rational algebraic epressions b. factoring and epanding polnomials c. manipulating roots and eponents. Solutions of Equations and Inequalities a. solving linear and quadratic equations and inequalities b. sstems of equations c. other algebraic equations. Coordinate Geometr a. plane geometr b. the coordinate plane, straight lines, conics, sets of points in the plane c. graphs of algebraic functions. Functions a. polnomial and algebraic functions b. eponential and logarithmic functions. Trigonometr a. trigonometric functions 6. Applications and other Topics a. comple numbers b. sequences and series c. determinants d. permutations, combinations, and factorials e. word problems

4 MAT COLLEGE PREP MATH credits HILLSBOROUGH COMMUNITY COLLEGE MATHEMATICS CURRICULUM FLOWCHART MGF 9 INTRODUCTORY MATH credits MAT COLLEGE PREP ALG credits Non college credit Elective credit onl MAT INTERMEDIATE ALGEBRA credits AAS programs onl General Education STA ELEMENTRY STATISTICS credits MAC COLLEGE ALGEBRA credits MGF 6 MATH FOR LIBERAL ARTS I credits MGF 7 MATH FOR LIBERAL ARTS II credits MAC CALCULUS FOR BUSINESS credits MAC PRECALCULUS ALGEBRA credits MAC 7 PRECALCULUS ALG / TRIG credits MAC TRIGONOMETRY credits MAC CALCULUS I credits MAC CALCULUS II credits MAS LINEAR ALGEBRA credits MAC CALCULUS III credits MAP DIFFERENTIAL EQUATIONS credits THT - /

5 CPT Math Test Resources Sample questions for the CPT Arithmetic, Elementar Algebra, and College Level Math tests are at the end of this guide. These questions are intended to be a representative but not ehaustive list. You ma find the following additional resources helpful in preparing for the math portion of the CPT: Online Resources for CPT Math Comprehensive website that reviews principles from basic mathematics to calculus. Test created b the Nassau Communit College that parallels the format of the Accuplacer mathematics eam. Offers instruction and tests for arithmetic topics. Placement test covering arithmetic through intermediate algebra. Aims Communit College Assessment Center. Provides several stud guides in Adobe Acrobat and Rich Tet Format, as well as links to several tutorials. Site for reviewing algebra skills. Campus Bookstore CPT Review Booklet for Mathematics, Valencia Communit College

6 CPT Arithmetic Test Sample Questions. + = = 7 6. = 7 9. All of the following are equivalent to percent of N, EXCEPT:.N N N N is approimatel equal to What is % of 8? is what percent of 6? 9% % % 9% 8. John learned that after overhauling the carburetor in his car he would use onl 8% as much gas. Last month, before overhauling his carburetor, he used gallons of gas. Assuming that John drives the same number of miles net month, how man gallons of gas can he epect to save net month after overhauling his carburetor? 9. Debra took a tests that consisted of questions and she got 78% correct. How man questions did Debra miss on the test? 8 7 6

7 . Sara spends of her income for transportation, 6 of her income for food, and of her income for rent and utilities. What fractional part of Sarah s income is left for all of her other epenses?. Sam and Mar each owned one-half stock in a printing compan. Sam sold of his stock to Mar. What fractional part of the printing business does Mar now own? A car traveled at 6 miles per hour for a total of 9 miles. How man hours did the car travel? 7 9, 6. If the area of a rectangle is 6 square inches and the length is inches, then what is the width of the rectangle? in. 9 in. 8 in. 9 in.. The perimeter of a rectangle is 6 inches. If the width of the rectangle is inches, then what is the length of the rectangle? 8 in. in. 8 in. in. 8. Sam has a budget of $ to spend on entertainment for the weekend. If he spent of his budget on Frida and of his budget on Saturda, how man dollars does he have left over to spend on Sunda? $ $ $9 $6 CPT Arithmetic Sample Questions Answer Ke:. D 6. C. A. A 7. B. D. D 8. B. B. C 9. B. A. C. A. A 7

8 . Evaluate: 6 + = CPT Elementar Algebra Test Sample Questions Evaluate: = Evaluate: = 7. Factor: ( ) ( ) ( ) ). Simplif: ( ) 7 ( + + )= Simplif: ( ab) ( 6 ab = ) a b a b a b a b 7. Simplif: 8 7 = Simplif: ( ) ( 7) + = ( ) 9. If 6+ = +, then =. If + +, then 8

9 . Which of the following is a linear factor of 6? + +. If 8=, then = or or or 8 8 or 6 +. Simplif: = Simplif: = ( + )( ) ( )( + ). Choose the equation that is equivalent to the verbal description: The difference between a number,, and five less than twice the number is = 9 + = 9 ( ) = + ( ) = ( ) CPT Elementar Algebra Sample Questions Answer Ke:. C 6. A. C. A 7. C. B. D 8. D. D. C 9. A. B. C. A. C 9

10 CPT College Level Math Test Sample Questions (Courtes of Mongtomer College, Rockville Mathematics Department). ( + ) + ( ) = E = ( ) = 9 E.. If f ( ) = and g( ), then g f ( ). A rectangle has a length of N and a width of N + N. What is its perimeter? N N N N + N N + N N N E. 6N + N 6. 8 = 6 + ( ) ( ) ( + ) E Which of the following could be the graph of = cos for π? E = sec sin cot cos tan sin cos E. csc sec

11 7. Which of the following equations could represent this graph? = 8 = = = E. = + 8. Simplif + + E Which of the following is NOT equal to zero? cos π π π ta n ( ) cos sin π cos sin ( ) E. ( ). The -value(s) of all intersection points of = 6 and = + is (are): onl onl,, E.,. sinθ( cscθ sinθ) = cos θ tanθ sin θ secθ sin θ cotθ sin θ E. sin θ. log + log =. Then = 8 8 E.. + is a factor of f ( ). Which of the following is TRUE? f ( ) = ( ) f () i = where i = f ( ) E. f ( ) = f has a -intercept of has an -intercept of. 6 = E. 6

12 . What is the least common denominator for and? ( 9 ) ( 6) ( 9) ( + ) ( ) ( 9)( + 6) E. + + ( ) 6. Which of the following could be the graph of = ( + a) where a >? E. 7. Find the equation of the line passing through (, ) = + = E. and parallel to + =. = 7 = = 8. Solve tan = where π. π = = E. π π =, =, π = 9. Solve for : + a = + + a a a a E. a a. Solve 8 < < 9 9< < 9 < > 9 E. < < 9

13 CPT College Level Math Sample Questions Answer Ke:. E 6. A. A 6. A. C 7. A. C 7. D. E 8. B. C 8. B. D 9. D. E 9 B. D. C. A. E