DRETONS Read each question carefull. For a multiple-choice question, determine the best answer to the question from the four answer choices provided. For a griddable question, determine the best answer to the question. Then fill in the answer on our answer document. A savings account balance can be modeled b the graph of the linear function shown on the grid. 0,... 00 co 0 o 00 "O '-" 0 Q 00 co 0 ru co 00 0 " Savings Account 0 6 7 8 9 Number of Deposits What is the rate of change of the balance with respect to the number of deposits? A B D $00 per deposit $0 per deposit $0.0 per deposit $ per deposit
Which expression is equivalent to x + ( x- 6x ) + 9 - (6x + )? F -x - x + G -x - x + 6 H -lox+ 6 8x + Baseball fans can bu tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $ each. Ticket prices for the upper deck are 7% of the cost of tickets for the lower deck. Which inequalit represents all possible combinations of x, the number of tickets for the lower deck, and, the number of tickets for the upper deck, that someone can bu for no more than $800? A x+ 6 :=; 800 B x +.S :=; 800 x+ 6 > 800 D x +.S > 800
Function pis in the form = ax + c. f the values of a and care both less than 0, wh ich graph could represent p? F 9 9 8 8 '7 7 6 6 H, ' -9-8 -7-6 - - - - 6 7 8 9 ' -..... 7 _8.9,, r -9-8 -7-6 - - - - - 6 7 8 9 - _. " 6 ' - -7.,, 9, l 9 9 8 8 7 7 6 6 G -9-8 -7-6 - - - :-,! r-- 6,-7 8...- 6 7 8 9-9 -8-7 -6 - - - - - 6 7 8 9 'i '.l.... l. '-7,.a.9
s The table represents some points on the graph of a linear function.. - Which function represents the same relationship? A h(x) = -x- 0. B h()=--. h(x) = x- 0. D h()=-. 6 Which expression is equivalent to x + 7x +? F G (x-l)(x+) (x+l)(x-) H (x+ l)(x+) None of these
7 The graph of0.x- = is shown on the grid. - - - - - -- '--- - -- ---..- - - -s -- ll"" Which ordered pair is in the solution set of 0.x- :? A (-, 0.) B (, ) (, - ) D (-, - 0.) 8 What value of x makes the equation -x - (-7 - x) = -(x- ) true? F x = G = = -
9 The starting annual salar for an office worker at a compan is $9,000. f the compan awards an annual increase of 6.%, which graph models this situation after the office worker receives x annual increases?... V '-- ro 0 "O '-' A ro U) ro ::::, <( 0,000,000 0,000,000 0,000,000 0,000,000 0,000,000 0 " Office Worker's Salar,/ v -... /,...,..,, 6 7 8 9 0 Number of Annual ncreases... V '-- ro 0 "O '-' ro U) ro ::::, <( 0,000,000 0,000,000 0,000,000 0,000,000 0,000,000 0 ' Office Worker's Salar 6 7 8 9 0 Number of Annual ncreases B... V '-- ro 0 u '-' O ro U) ro ::::, <( 0,000,000 0,000,000 0,000,000 0,000,000 0,000,000 0 Office Worker's Salar, ' 6 7 8 90 Number of Annual ncreases... V '-- ro 0 "O '-' D ro U) ro ::::, <( 0,000,000 0,000,000 0,000,000 0,000,000 0,000,000 0,, Office Worker's Salar -,..-- V.,.,, 6 7 8 9 0 Number of Annual ncreases / / :,ii
a b 6 c- 0 0 Which expression is equivalent to? sa- b c- F G H 7a b cs 6a b 9 ls 7a 6 b c 7b c a Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed b changing the slope of the original line to f and the-intercept to. Which statement about the relationship between these two graphs is true? A B D The graph of the new line is steeper than the graph of the original line, and the-intercept has been translated down. The graph of the new line is less steep than the graph of the original line, and the -intercept has been translated up. The graph of the new line is steeper than the graph of the original line, and the-intercept has been translated up. The graph of the new line is less steep than the graph of the original line, and the -intercept has been translated down.
The table shows some ordered pairs that belong to quadratic function h. What is the range of h? F All real numbers G All real numbers greater than or equal to -7 H All real numbers greater than or equal to -8 All real numbers greater than or equal to 0 A sports magazine prints issues per ear, and a technolog magazine prints 0 issues per ear. The total number of pages in all the issues of the sports magazine for one ear is more than the total number of pages in all the issues of the technolog magazine for one ear. Each issue of the sports magazine has 8 fewer pages than each issue of the technolog magazine. Which sstem of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technolog magazine? A s = t- 8 s = 0t+ B D t = - 8 0t=s+ s = t- 8 0s = t+ t = s - 8 t = 0s +
What is the -intercept of the line graphed on the grid? g' 8 -, -, (-, 7)_ -, - 7 ' ',... (6, ) -- N -9-8 -7-6 - - - - - 6 7., - '- 9 i:. - - - -s -6-7 -8-9 '- Record our answer and fill in the bubbles on our answer document. Which expression is equivalent to 9q - f (q - 7) + Sq? A 9q - -q- B 9q - q- D q -q+- q --q--
6 Which statement about k(x) = -x - x + is true? F The zeros are - and, because k(x) = - (x + )(x - ). G The zeros are - and, because k(x) = - (x + )(x - ). H The zeros are - and -, because k(x) = - (x + )(x + ). The zeros are and, because k(x) = - (x - )(x - ). 7 The exponential function modeled below represents the number of square kilometers of land occupied b cane toads x ears after this animal was first introduced into Australia. ",00,00 _,000..._ 0 ) "O co ) ::, 0..c.._,... 900 800 700 600 00 00 00 00 -- 00, ' v"' _, 0 0 0 0 Time (r) Area Occupied b ane Toads Time (r) 0 0 0 0 Area (km ) 6,00,600 78,800,780 70,0 0,000 67,00 9,700 Based on the data, which measurement is closest to the number of square kilometers of land that will be occupied b cane toads 0 ears after this an imal was first introduced into Australia? A 0,000 km B,0,000 km 600,000 km D 800,000 km
8 Which of the following is equivalent to x- = 6? F G H 6 Y=-- 7 Y=-- = -x+ = -x- - 9 The table represents some points on the graph of a linear function. - 0-0. 7-8. What is the rate of change of with respect to x for this function? A 9 B 9 9 D 9
0 A manager purchased a total of coffee mugs and ke chains. Each coffee mug cost $8.0, and each ke chain cost $.7. f the manager spent a total of $.0, how man coffee mugs did the manager purchase? Record our answer and fill in the bubbles on our answer document. The graph of an exponential function is shown on the grid... 0 9 8 7 6 ' -- -'!0-9 -8-7 -6 - - - - - 6 7 8 9 er - - - - - -6-7 -8 9 j!o Based on the graph, which statement about the function is true? A The range is the set of all real numbers less than 0. B The domain is the set of all real numbers greater than -. The range is the set of all real numbers greater than 0. D The domain is the set of all real numbers less than -.
The sum of the first n consecutive even numbers can be found using S = n + n, where n. What is the value of n when the sum is 6? F 6 G 9 H 6 Which graph represents -x +S= -? A 6 u TO.._ -6 - - - 6 "- - - r--... - r-,,..... r--... 6 - " r-... f'-. 6 - v# -6 - - / - - 6, - / -, - - -... 6 --- B 6 -,...,..r -6 - - - - -.Y 6 - tv - t),,. v /v 6 - --.,.v,.. - ' D ' -6 - - - - - ' l 6 - - - - -6 - ' K" ""
The graph of f(x) = x is shown on the grid., ' 0 8 6 ' i'-.. _ - - - - -... { w Which statement about the relationship between the graph off and the graph of g(x) = 7x is true? F G The graph of g is narrower than the graph off. The graph of g is wider than the graph off. H The graph of g is 7 units below the graph off. The graph of g is 7 units above the graph off. Which expression is a factor of 6x - 9? A 8x- 7 B 6x- 9 8x-9 D 6x-7
6 The scatterplot shows the monthl high temperatures for Austin, Texas, in degrees Fahrenheit over a -month period. Monthl High Temperatures in Austin, Texas ) 09,..., LL 0 0 '--' Q L..., :: 0 ro L Q a. 97 E 9 89 ' 8 0.> - 6 7 8 9 0 Month Which function best models the data from Month to Month 9? F Y=-.6x + lll G =.Sx + 8 H =.Sx + 90 = -.x + 0 7 Given f(x) = 6( - x), what is the value of f(- 8)? Record our answer and fill in the bubbles on our answer document.
8 A to is made up of clindrical rings stacked on a base, as shown in the diagram. The diameter of Ring is 87% of the diameter of the base. For Ring through Ring 7, the diameter of each ring is 87% of the diameter of the ring directl below it. Base The diameter of the base is inches. Which function can be used to find the diameter in inches of Ring r, where :S r :S 7? F d(r) = (0.87Y G d(r) = 0.87(r- ) H d(r) = 0.87(Y d(r) = (r- 0.87) 9 What are the solutions to (x- 7) =? A = 7 ±./ B = ± /6 x = and x = D x = - and x =
0 The total cost in dollars to bu uniforms for the plaers on a volleball team can be found using the function c =.9u + 6., where u is the number of uniforms bought. f there are at least 8 plaers but not more than plaers on the volleball team, what is the domain of the function for this situation? F O < u ::; G 0 < c::;.6 H {8, 9, 0,, } { 8.8, 0.80,.7, 90.70,.6} A circle has a radius of 6x 9 cm. The area of a circle can be found using A = nr. What is the area of this circle in square centimeters? A rcxa 0
Which graph can be used to find the solution to the sstem of equations below? x + = - - = x+ F - - -. - '=tt's-:: '-, " - " '- " H ' / - :: -,..,_, - - / > - G... - - ---_ - r--::. '-... - f "- /"... V,, /... v v ( - - - - -......-" Which inequalit describes all the solutions to ( - x) < - x + 6? A < - 9 8 > < - D > 7
The graph of quadratic function g is shown on the grid. The coordinates of the x-intercepts, the -intercept, and the vertex are integers. What is the maximum value of g? 0 9 8 / '... 6 l -'-0-9 -B - 7-6 -S - - - l 6 7 9 0 - - - ' ' - -s -6 ' -7 -B - 9 r " ' ' Record our answer and fill in the bubbles on our answer document. An organization has a monthl budget of x dollars. Ever month $,070 is spent on salaries. One-fourth of the remaining budget is spent on monthl activities. Which function can be used to find the amount in dollars spent on monthl activities? A B f(x) =,070 + f(x) =,070 - f(x) = x+,070 D f(x) = x-,070
6 Which table represents as a function of x? F - - - - - H - - - - - 6-6 - G -6 6-8 -8 - -8 8-7 Which statement a bout f(x) = x - x - is true? A The zeros are - and -, because f(x) = (x + )(x + ). B The zeros are - and, because f(x) = (x- )(x + ). The zeros are - and, because f(x) = (x + )(x- ). D The zeros are and, because f(x) = (x-)(x- ).
8 The graph shows how the volume of a gas sample changes as the temperature changes and the pressure remains constant. " Gas Sample!..,,...... i..,.,-... i...-,,...!,.,' i...,.,-...- -- i,,,-"' r.a:: --"" Q.,. 0 0 0 60 80 00 " Temperature ( ) Which of these best represents the rate of change in the volume of the gas sample with respect to the temperature? F 0 ml/oc G / ml/ H ml/ ¾ ml/
9 What is the solution to this sstem of equations? A (6, 7) B (, ) (7, 6) D (, ) lox- = -x+ 9 Y=---- 0 The table contains some points on the graph of an exponential function. 0 0.06 0. Based on the table, which function represents the same relationship? F G q(x) = (0.St q(x) = 6(0.l H q(x) = 0.06(l q(x) = 0.(t
Quadratic functions q and w are graphed on the same coordinate grid. The vertex of the graph of q is 8 units below the vertex of the graph of w. Which pa ir of functions could have been used to create the graphs of q and w? A q(x) = 8x and w(x) = x B q(x) = x + 8 and w(x) = x q(x) = -8x and w(x) = x D q(x) = x - 8 and w(x) = x n an electrical circuit, the voltage across a resistor is directl proportional to the current running through the resistor. f a current of amps produces 80 volts across a resistor, how man volts would a current of. amps produce across an identical resistor? Record our answer and fill in the bubbles on our answer document.
Which graph shows a line with an x-intercept of -? A,,.,,,, 9 8 7,, 6,,,.,,, /,,' "'lr -9-8-7- -"' ---- 6 7 8 9,, -. '-,, _ l _6 _7!_9 _9 '- t, -9-8 -7-6 - - - - - 6 7 8 9 - '- _ l_ '-s '-6 '-7 '-8 l_g B 9 8 7 6, r-...... 8... 7 6..., -9-8-7-6 -- - -- 6 7 8 9 - '- _ '-,-, fl 7 - -8 '-9 ' D le: 9 "... " '-. -9-8 -7-6 - - - - -,.., 7 8 9 - '-... '- _..!_ 6 '-7 '-8 '-9 lo..
A student rode a bike from school to a recreation center. The graph shows the student's distance in miles from the recreation center after riding the bike for x minutes. 0 ',..._ 9 E E._ 0 ( '-..., 7.._ ( ( 6 uu! 0..., - Ul..., -! 0 ( '- u ( c:'. 8. i. ' Bike Ride. i. r -, 0 8 6 0 8 6 0 Time (min) What is the range of the function for this situation? F All real numbers greater than or equal to O and less than or equal to 8 G All real numbers greater than or equal to O and less than or equal to 9 H All real numbers less than or equal to 8 All real numbers less than or equal to 9
A graph of f(x) = 6x - x + is shown on the grid. ' ' - - --6 - - - - - / 6 - - What are the zeros off? A B and 9 D - and- 6 Which equation in standard form has a graph that passes through the point (-, ) and has a 9 slope of? F 9x- = 6 G 9x- = 6 H 9x- = -0 9x- = -0
7 7 Which graph represents the solution set of - x -?.. 9 - - 8 _ 7 6, _. '- U:., 9 8 7 '- 6 --... A -9-8 -7-6 - - - - - 6 7 8 9 -, - --,._ - - -6 - -+ -7,-+ -8-9 r -- - ' "' -9-8 -7-6 -- - - - 6 7 8 9 l--+ - -,_ -- --- -s -6-7 ' -8-9 B.. 9 9 -"" ' 8 8 7 7-6 6 '-- -, ---. - '-, D ;._ -9-8 -7-6 -- - - -_, 6 7 8 9 ' ( t-- f-- _ '-s _6 _7 _8, l_g... -9-8 -7-6 - - - - -_ 6 7 8 9 ( l, l_s 6 -, - - '- - k '-s-'-' :-9- -
8 A bag contains 8 coins consisting of quarters and dimes. The total value of the coins is $.8. Which sstem of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag? F 0.0q + 0.d =.8 q + d = 8 G 0.0q + 0.d = 8 q + d =.8 H 0.q + 0.0d =.8 q + d = 8 0.q + 0.0d = 8 q+d=.8 9 Wh ich expression is a factor of x - x - 6? A x-6 B x - x - D x-
SO The number of stores opened b a coffee compan can be modeled b the exponential function graphed on the grid, where xis the number of ears since 99. l/l,00,00,000 [l:,800 0 U,600 0,00 ai,00 E,000 ::::, 800 z 600, / / V offee Stores / / 00 00., 0 67890 Number of Years Since 99 / - Based on the graph, which statement does not appear to be true? F The coffee compan had opened 00 stores b the end of 99. G The coffee compan opened 00 stores in one ear. H Ever ear the number of stores the coffee compan opened increased b %. Since 99 the coffee compan has opened 0 stores each ear. What is the slope of the line that passes through the points (6, 7) and (-9, )? A B - D
What is the solution to 0.(x-6) = 0.( - x)? F - G H - Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than? A - - -! - 6 - - - - - / - - - 6 "' -7 ' V./ 8 -z t j -6 '.. 7 8 l B - - - - - - - - ' 6 D - -6 - - - - - ' - / '-= 8 j ' - i. / 8
The diagram shows the floor plan of a storage facilit. All dimensions are given in feet. Sx + x- Which expression represents the area of the storage facilit in square feet? F 0x + 6x-6 G 0x - x - 6 H 6x -6 9x - 6