Math Test No Calculator

Transcription

1 Mat Test No Calculator MINUTES, QUESTIONS Turn to Section of your answer seet to answer te questions in tis section. For questions -, solve eac problem, coose te best answer from te coices provided, and fill in te corresponding circle on your answer seet. For questions -, solve te problem and enter your answer in te grid on te answer seet. Please refer to te directions before question on ow to enter your answers in te grid. You may use any available space in your test booklet for scratc work.. Te use of a calculator is not permitted.. All variables and expressions used represent real numbers unless oterwise indicated.. Figures provided in tis test are drawn to scale unless oterwise indicated.. All figures lie in a plane unless oterwise indicated.. Unless oterwise indicated, te domain of a given function f is te set of all real numbers x for wic f(x) is a real number. r A = pr C = pr l A = lw w b A = b b c a c = a + b x s s x x s Special Rigt Triangles l V = lw w r V = pr r V = pr Te number of degrees of arc in a circle is. Te number of radians of arc in a circle is p. Te sum of te measures in degrees of te angles of a triangle is. r V = pr w l V = lw

2 If x + =, wat is te value of x +? A) B) C) D) x + y = x y = Wic of te following ordered pairs (, x y)satisfies te system of equations above? A) (, ) B) (, ) C) (, ) D) (, ) A landscaping company estimates te price of a job, in dollars, using te expression + n, were n is te number of landscapers wo will be working and is te total number of ours te job will take using n landscapers. Wic of te following is te best interpretation of te number in te expression? A) Te company carges $ per our for eac landscaper. B) A minimum of landscapers will work on eac job. C) Te price of every job increases by $ every our. D) Eac landscaper works ours a day. a + a b +b Wic of te following is equivalent to te expression sown above? A) ( a + b ) B) ( a+ b) C) ( a + b ) D) ( a+ b)

3 k + x = If k > and x = in te equation above, wat is te value of k? A) B) C) D) (, ) O y l (, ) (, ) (p, ) In te xy-plane above, line is parallel to line k. Wat is te value of p? A) B) C) D) k x If x x a b = x, x >, and a+ b =, wat is te value of a b? A) B) C) D) na = Te measure A, in degrees, of an exterior angle of a regular polygon is related to te number of sides, n, of te polygon by te formula above. If te measure of an exterior angle of a regular polygon is greater tan, wat is te greatest number of sides it can ave? A) B) C) D)

4 Te grap of a line in te xy-plane as slope and contains te point (, ). Te grap of a second line passes troug te points (, ) and (, ). If te two lines intersect at te point (, ab), wat is te value of a+ b? A) B) C) D) Wic of te following equations as a grap in te xy-plane for wic y is always greater tan or equal to? A) y = x B) y = x C) y =( x ) D) y = x Wic of te following complex numbers is i equivalent to? (Note: i = ) + i A) B) C) D) i i + i i + F R = N+ F A website uses te formula above to calculate a seller s rating, R, based on te number of favorable reviews, F, and unfavorable reviews, N. Wic of te following expresses te number of favorable reviews in terms of te oter variables? A) F = B) F C) F D) F = RN R RN = R N = R N R

5 Wat is te sum of all values of m tat satisfy m m+ =? A) B) C) D) A radioactive substance decays at an annual rate of percent. If te initial amount of te substance is grams, wic of te following functions f models te remaining amount of te substance, in grams, t years later? A) ft ()=(.) t B) ft ()=(.) t C) ft ()=.() t D) ft ()=.() t Te expression following? A) B) C) D) x + x + x x + is equivalent to wic of te

6 Grid in result. Fraction line Write answer in boxes. For questions, solve te problem and enter your answer in te grid, as described below, on te answer seet.. Altoug not required, it is suggested tat you write your answer in te boxes at te top of te columns to elp you fill in te circles accurately. You will receive credit only if te circles are filled in correctly.. Mark no more tan one circle in any column.. No question as a negative answer.. Some problems may ave more tan one correct answer. In suc cases, grid only one answer.. Mixed numbers suc as must be gridded as. or. (If is entered into te grid, it will be interpreted as, not.). Decimal answers: If you obtain a decimal answer wit more digits tan te grid can accommodate, it may be eiter rounded or truncated, but it must fill te entire grid. Answer: Acceptable ways to grid are: Decimal point Answer:.... Answer: eiter position is correct DIRECTIONS NOTE: You may start your answers in any column, space permitting. Columns you don t need to use sould be left blank.

7 Te sales manager of a company awarded a total of $ in bonuses to te most productive salespeople. Te bonuses were awarded in amounts of $ or $. If at least one $ bonus and at least one $ bonus were awarded, wat is one possible number of $ bonuses awarded? x( x+)+( x+) = ax + bx + c In te equation above, a, b, and c are constants. If te equation is true for all values of x, wat is te value of b? A C B In te figure above, AE CD and segment AD intersects segment CE at B. Wat is te lengt of segment CE? D E

8 y A(, ) x O B In te xy-plane above, O is te center of te circle, and te measure of AOB is π radians. Wat is a te value of a?... ax + by = x + y = In te system of equations above, a and b are constants. If te system as infinitely many solutions, wat is te value of a b? STOP If you finis before time is called, you may ceck your work on tis section only. Do not turn to any oter section.