You may use a scientific calculator (non-graphing, non-programmable) during testing.

Transcription

1 TECEP Tet Decription College Algebra MAT--TE Thi TECEP tet algebraic concept, procee, and practical application. Topic include: linear equation and inequalitie; quadratic equation; ytem of equation and inequalitie; comple number; eponential and logarithmic epreion and function; baic probability. (.h.) Tet format: 64 multiple choice quetion ( point each) Paing core: 7% (4/64 point). Your grade will be reported a CR (credit) or NC (no credit). Time limit: hour You may ue a cientific calculator (non-graphing, non-programmable) during teting. Topic on the tet and their approimate ditribution. Review of baic concept (%) A. Real number and their propertie B. Polynomial eponent, addition, ubtraction, multiplication, diviion C. Polynomial - factoring D. Polynomial fraction (implification, multiplication, diviion) E. Radical. Equation and inequalitie (%) A. Linear equation, imple interet B. Word problem C. Comple number multiplication, diviion D. Quadratic equation E. Factoring method, formula method F. Application of quadratic equation G. Equation with radical H. Inequalitie I. Abolute value equation. Graph and function (%) A. Graphing traight line, ditance, midpoint B. Graphing circle C. Graphing domain, range D. Graphing lope E. Graphing parallel and perpendicular line 4. Polynomial and rational function (%) A. Parabola domain, range, verte, intercept B. Synthetic diviion C. Zero of polynomial function D. Graph of polynomial function E. Variation Earn college credit for what you already know at a fraction of the cot by taking your TECEP online, anytime.

2 TECEP Tet Decription. Eponential and logarithmic function (%) A. Invere function, one-to-one function, ymmetry B. Eponential function, application of eponential function C. Logarithm log, log function D. Logarithm common log, natural log E. Solving eponential equation with log, log equation F. Application of eponential function 6. Sytem of equation, parabola, and further topic (%) A. Sytem of linear equation B. Sytem of nonlinear equation C. Analytic geometry D. Binomial theorem E. Counting theory permutation, combination F. Baic probability Outcome aeed on the tet Solving problem involving linear and quadratic equation Solving ytem of linear and nonlinear equation and inequalitie Solving eponential and logarithmic function Applying algebraic concept and procee to the olution of real-world problem Solving baic probability problem Study material College Algebra. Margaret Lial, John Hornby, and David Schneider. Current edition. Boton: Pearon/Addion Weley. Sample quetion. Perform the indicated operation. a-b a-7b + a-8b 7b-a a. 8b-a b. 8a-8b a-7b a-7b c. 6 d. a-8b a-7b. Factor completely. t + 4t 7 a. (t + 7)(6t ) b. (t + 7)(t ) c. (t 7)(t + ) d. (t 7)(6t +) Earn college credit for what you already know at a fraction of the cot by taking your TECEP online, anytime.

3 TECEP Tet Decription. Perform the indicated operation a. + - b. - c d Solve the equation. (-) - = (+) a. {7 b. {-9 c. 7 d. {7. Simplify the following o that there are no negative eponent. Aume that all variable repreent poitive real number. / y -/6 -/ /6 y / z 8 a. 7 y 7 b. 7 z c. y d. z z y 7 z y 6. Two car leave the ame point at the ame time traveling in oppoite direction. One car travel 8 mph lower than the other. After 4 hour they are 68 mile apart. Find the peed of the fater car. a. 4 mph b. mph c. 6 mph d. 68 mph 7. The number y of people attending the Ozark Mountain Bluegra Fetival between 989 and 996 can be approimated by the model y = , where = correpond to 989. Baed on thi model, in what year wa the fetival attendance about 8? a. 99 b. 99 c. 99 d. 996 Earn college credit for what you already know at a fraction of the cot by taking your TECEP online, anytime.

4 TECEP Tet Decription 8. Solve the inequality. Give the anwer uing interval notation. - < a. (-, ) b. (-, -) c. (-,) d. [-,] 9. Solve the equation. - 6 _ - 6 = + 6 a. { - b. _ c. { d.. Solve the equation = a. { -, - b. {, - c. {-, d. {,. Perform the operation. Give the anwer in tandard form. 6-9i 4 + i a. + i b. 4 + i c. 7 + i d. - i. Which of the following i the domain of f () = -? a. [, ] b. (, ] c. [, ) d. (, ) Earn college credit for what you already know at a fraction of the cot by taking your TECEP online, anytime.

5 TECEP Tet Decription. What i the lope of the line paing through (-7,-4) and (,-)? y. (-7, -4). (, -) a. b. _ c. d. 4. Identify the verte of the parabola. f() = ( + 4) + a. (,) b. (, -4) c. (-4, ) d. (, -4). Write an equivalent tatement in eponential form. log 9 9 = a. 9 9 = b. 9 = 9 c. *9 = 9 d. 9 = 9 6. Solve: y y + y y a. y y + R b. y y + R c. y y R d. y + y R Earn college credit for what you already know at a fraction of the cot by taking your TECEP online, anytime.

6 TECEP Tet Decription 7. Factor f( ) into linear factor given that k i a zero of f(). f() = 6 + 7; k = 6 a. ( 6)( )( + ) b. ( 6)( + )( + 6) c. ( 6)( ) d. ( 6)( )( + 6) 8. Graph the polynomial function. f() = ( )( + )( ) a. y b. y c. y d. y The power a windmill obtain from the wind varie directly a the cube of the wind velocity. If a km/hr wind produce, unit of power, how much power i produced by a wind of km/hr? a.,96 unit b.,7 unit c., unit d.,7 unit Earn college credit for what you already know at a fraction of the cot by taking your TECEP online, anytime.

7 . TECEP Tet Decription. Pick the linear function f() that ha thi line a it graph. y. -,- -4,- a. f() = - b. - f() = - - c. f() = + d. f() = -. Solve the equation. = 8 a. {- b. {/4 c. {/ d. {. Find the equation of a circle where the center i (,) and the radiu i. a. ( + ) + (y + ) = b. ( ) +(y ) = c. ( ) +(y ) = d. ( ) - (y ) =. Solve the equation and epre the olution in eact form. log ( + ) = + log(4 ) a. {4/9 b. {4/9, c. {/ d. { 4. Solve the ytem. 4y = 6 9 y = a. {(4, ) b. O c. {( 4, ) d. {(, ) Earn college credit for what you already know at a fraction of the cot by taking your TECEP online, anytime.

8 TECEP Tet Decription. Solve the nonlinear ytem of equation. y = 9 y = a. {( 8, ) b. {(8, ) c. {(8, ) d. {( 8, ) 6. Match the equation of the parabola with the appropriate decription. y = 4 + a. Open right b. Open down c. Open up d. Open left 7. How many way can a preident, vice preident and ecretary be choen from a club with member? Aume that no member can hold more than one office. a. 6 b. 6 c. d. 8. Two 6-ided dice are rolled. What i the probability the um of the two number on the dice will be 4? a. / b. / c. /6 d. /6 9. Write the indicated term of the binomial epanion. ( y) ; th term a. 7 4 y 9 b. 7 9 y c.,44 4 y 9 d.,44 9 y 4 Earn college credit for what you already know at a fraction of the cot by taking your TECEP online, anytime.

9 TECEP Tet Decription. ln a..77 b..77 c d The population of Twin Lake i given by the function P() = e. where i the number of year after 97. What wa the population in the year? a. 6 b. 8 c. 9 d.,,44 Anwer to ample quetion. c. a. a 4. a. b 6. b 7. c 8. a 9. c. d. d. b. c 4. c. b 6. b 7. d 8. b 9. d. a. d. b. a 4. a. b 6. b 7. d 8. a 9. d. c. c Earn college credit for what you already know at a fraction of the cot by taking your TECEP online, anytime.