GPS ALGEBRA SAMPLE EOCT TEST STUDY GUIDE CROSSROADS

Transcription

1 GPS ALGEBRA EOCT REVIEW PACKET Name: Date: GPS ALGEBRA SAMPLE EOCT TEST STUDY GUIDE CROSSROADS

2 GPS ALGEBRA EOCT REVIEW PACKET. Use the table of values to determine the function represented. X g() A) g() B) g( ). Given the graph below, which of the following are true? I) f() is increasing on the interval. II) f() has eactly zeros from 5. III) f() is decreasing on the interval 0. IV) f() has a local maimum at (,0). C) g( ) D) g( ) A) I and II C) I and IV B) I and III D) I, II, and IV. Which of these are characteristics of the parent function of an absolute value equation? I. The parent function on an absolute value equation has the verte at (0,0) II. The parent function of an absolute value equation opens downward. III. The parent function of an absolute value equation has the y-ais as its line of symmetry. A) I and II only C) II and III only B) I and III only D) I, II, and III. Which type of function would have a constant rate of change? A) Linear B) Quadratic C) Cubic D) square root

3 GPS ALGEBRA EOCT REVIEW PACKET 4. Find the 5 th term of the sequence 7,, 5, 9,,. A) 0 B) What is a recursive rule for the sequence, 6, 0,.? A) a n () n B) n n 6. Add A) B) a, a a 4 4 (6 9 7) to( 6 ) C) 07 D) a, a a 4 C) n n a, a a D) n n C) D) ( 6 4 5) 7. For the sequence:, 6,, 6,., the 50 th term would be: A) 56 C) 46 B) 5 D) Al Gone went on a long trip. The graph below represents the relationship between distance and time. During what interval was Al s average rate of travel the fastest? A) 0 to 6 B) 6 to 8 C) 8 to D) to 6

4 GPS ALGEBRA EOCT REVIEW PACKET 4 9. Simplify. (7a b)( a b ) A) B) 4a ab b 4a ab b 0. Which is equivalent to 5 y 7 4? 8y A) B) 4 C) D) C) D) 4a 6ab b 4a b 6 5 y 4 5 y 4. Simplify: A) y B) 4y ( y) ( y ) y C) 4y D) 0. Tom is going to dinner at a pasta restaurant. He is allowed to choose one of three pastas, one of 4 sauces, and one of three meats. How many different pasta dishes can he make? A) 7 B) 0 C) 4 D) 6. Given a spinner with 8 equal sections numbered through 8, what is the probability that you would spin an even number in the first spin and a number less than 4 in the second spin? A) 6 B) 8 C) 6 D) 4. Given a bag of marbles, 5 blue marbles, and 4 green marbles, find the probability of drawing red marbles at once. A) 6 B) 6 C) 6 D) 6

5 GPS ALGEBRA EOCT REVIEW PACKET 5 5. Given a standard deck of 5 cards, find the probability of drawing clubs. A) 6 B) 6 C) 6 D) 6 6. Is the graph a function? A. yes B. no C. cannot be determined 8. Give the interval over which the graph is decreasing. A. All real numbers B. 9 9 C. 0 5 D What is the domain of the graph? A. All real numbers B. 9, 8, 7,...9 C. 9 9 D Which one is of the following represents the graph f ( ) A B C D. Which one is of the following represents the graph f ( ) A B C D

6 GPS ALGEBRA EOCT REVIEW PACKET 6. Which one is of the following represents the graph f ( ) A B C D. Which one is of the following represents the graph f () A B C D 4. What is the maimum value of the function? A. (,0) B. (6,0) C. (4,8) D. (8,4) 4. What is the domain of the function? A. 7 B. 7 C. 0 8 D Draw the net shape. 6. Write a closed form rule for the number of dots in the pattern of figures above. A. tn n, for n,,,... B. tn n, for n,,,... C. tn n, for n,,,... D. tn n, for n,,,...

7 GPS ALGEBRA EOCT REVIEW PACKET 7 7. If this pattern continues how many dots will be in the 00 th figure? A. 00 B. 0 C. 99 D. 00 E The table below represents the amount of your gross pay based on how many hours you work. Use the table to find a function that will show your gross pay based on the numbers of hours you work f() A. f ( ) 7 B. f ( ) 8.5 C. f ( ) 7 D. f ( ) 8 9. The diagram represents the dimensions of a bo. Which epression represents the volume of the figure below? A. B. C. D Given f ( ), describe the transformation A. Stretches vertically by 4 B. Shrinks vertically by 4 C. Shifts 4 units up D. Shifts 4 units down f ( ) 4.. Given f ( ), describe the transformation f ( ) A. Stretches vertically by B. Shrinks vertically by C. Shifts units up D. Shifts units down

8 GPS ALGEBRA EOCT REVIEW PACKET 8. There are five points in a plane, buy no three points are collinear. How many different straight lines that pass through two of the points are possible? A. B. 0 C. 5 D. 0. Danny has identical color cubes. Each of the 6 faces on the color cubes is a different color. He also has fair coins. What is the total number of possible outcomes if Danny rolls all three cubes OR flips both coins? A. B. 44 C. 0 D There are 4 students in a mathematics competition. The students with the greatest number of points will be first place winner, and the student with the second greatest number of points will be the second place winner. How many different ways can the 4 students finish in first place and second place? A. 7 B. 9 C. 8 D You have 9 red crayons, 4 blue crayons, 7 purple crayons, and 5 black crayons in a basket. A student reaches into basket and randomly selects a crayon. What is the probability that the crayon will be either black or blue? A. B C. 5 D. 9 6

9 GPS ALGEBRA EOCT REVIEW PACKET 9 6. There are 6 red apples, 4 yellow apples, and green apples in a bucket. Maria will choose apples at random without replacement. What is the probability that Maria will choose a red apple and then a green apple? A. B. 5 6 C. D. 7. There are 6 red apples, 4 yellow apples, and green apples in a bucket. Maria will choose apples at random without replacement. What is the probability that Maria will choose a red apple and then a green apple? A. B. 5 6 C. D. 8. The table shows the probability of each possible sum when two cubes with faces numbered through 6 are rolled and the numbers showing on each face are added. Sum Probability You are playing a game in which you get 0 points when the sum is a perfect square. You get 5 points if the sum is a prime number. You get 0 points if the sum is a number which is neither a prime nor a perfect square. What is the epected value, to the nearest 0., for one roll of the two number cubes? A. 4.0 points B. 4. points C. 4. points D. 4. points

10 GPS ALGEBRA EOCT REVIEW PACKET 0 9. The table shows the average high temperature, in F, recorded in Atlanta, GA, and Austin, TX, over a siday period. Day Temperature in Atlanta Temperature in Austin Which conclusion can be drawn? A. The median temperature over the si-year period was the same for both cities, but the interquartile range is greater for Austin than Atlanta. B. The mean temperature of Atlanta was higher than the mean temperature in Austin, and the interquartile range is greater for Austin than Atlanta. C. The mean temperature of Austin was higher than the mean temperature in Atlanta, but the median temperature of Austin was lower. D. The mean and median temperatures of Atlanta were higher than the mean and median temperatures of Austin. 40. The table shows the scores of four students on the first four math quizzes. Student Quiz Scores Mean Score Anna 80,90,75,75 80 Jim 00,70,80,70 80 Stacy 9,78,68,8 80 Ted 7,84,84,8 80 Which student had the least mean absolute deviation on the quiz scores? A. Anna B. Jim C. Stacy D. Ted 4. The heights, in inches, of five girls were 66,64,68,70, and 65. A sith girl joined the class. The mean height of the si girls in the class was 66 inches and the mean absolute deviation was inches. What was the height of the sith girl who joined the class? A. 6 inches B. 64 inches C. 65 inches D. 66 inches 4. A train travels at a rate of (4+5) miles per hour. How many miles can it travel at a rate of (-) hours? A. -4 miles B. 5-4 miles C. 4²+-5 miles D. 4²-9-5 miles

11 GPS ALGEBRA EOCT REVIEW PACKET 4. Which binomial epansion represents the volume of the bo? A. B. C. D What is the product of the epression represented by the model below? A. 6 B. C. D d 45. Which epression represents the area of a rectangle given that the length is and the width is d 9 d 9? A. 7 B. 4 C. ( d ) 7d D. d Which epression is equivalent to A. 7 B. 9 9 C. 9 D. 7 9? 7

12 GPS ALGEBRA EOCT REVIEW PACKET 47. What value of makes the equation 7true? A. 4 B. 0 C. 6 D. 48. A right isosceles triangle has a hypotenuse with length of 4 y. Which epression represents the length of one of the legs of the triangle? A. y B. 4y C. y D. y 50. Match the graph with the corresponding function. A. f () B. f ( ) C. f ( ) D. f( ) F. f ( ) f ( ) E. 5. Match the graph with the corresponding function. A. f () B. f ( ) C. f ( ) D. f ( ) E. f ( ) Match the graph with the corresponding function. A. f ( ) B. f ( ) C. f ( ) 7 D. f ( ) E. f( ) F. f ( )

13 Distance from Home (miles) GPS ALGEBRA EOCT REVIEW PACKET 5. Match the graph with the corresponding function. A. f ( ) 6 4 B. f ( ) 4 C. f ( ) 7 D. f ( ) E. f ( ) F. f ( ) Draw in the graphs.. f ( ). f ( ). f ( ) 4. f ( ) E. f ( ) F. f ( ) Which statement best describes what is being modeled by this graph? Wyatt s Jog Time in minutes A. Wyatt started from a standstill, gradually picking up speed, jogged at a constant rate for 4 minutes, gradually slowed down, and stopped. B. Wyatt began jogging at a constant rate and increased his pace steadily until coming to a complete stop after jogging for minutes. C. Wyatt jogged at a steady pace for 4 minutes, took a 4-minute break, walked at a steady pace for minutes, and stopped. D. Wyatt jogged uphill for 4 minutes, jogged on a flat surface for 4 minutes, jogged downhill for minutes, and stopped.

14 56. Heather is taking a turn in playing a game. - If she answers the first question correctly, she is awarded points. - If she answers the second question correctly, she is awarded 4 points. - If she answers the third question correctly, she is awarded 6 paints. If this pattern continues and Heather answers all of the questions correctly, which function can be used to calculate the total number of points awarded? A. fcn) =n +n B.!(n)=n +n c.j(n)=n + D.!Cn)=n + s~ 7v These are the first four steps of a dot pattern. Step] Step Step J Step 4 The pattern continues. Which function represents the number of dots in Stepn? A. f(n)=n +n-5 B. f(n)=n +n+ C. fen) = n + 5n- D. f(n)=n +n The first term in this sequence is -. ~4 5 a /I Which function represents the sequence? A. fen) = n - 4 B. f(n)=n -4 C.!(n)=-n +4 D. f(n)=-n

15 ~" ~. A squirrel in a tree dropped an acorn 48 feet to the ground. The number of seconds, t, it took the acorn to reach the ground is modeled by this equation. -6t +48= 0 How many seconds did it take the acorn to reach the ground? A. -.J B. C.r D. 60<.. An,art tea~her painted a.rectangular picture on the art room wall. Then she enlarged it by mcreasmg both the Width and the length by feet. This equation can be solved to find, the number of feet the art teacher increased each dimension of her picture. Xl +7-8=O The area of the enlarged picture was 5 square feet. Which dimensions could be for the picture before it was enlarged? A. feet by 6 feet B. 5 feet by feet C. 7 feet by 5 feet D. 9 feet by feet --- bo' Breanne is rowing a boat at a rate of 5 miles per hour. She can row 7 miles downstream, with the current, in the same amount of time it takes her to row miles upstream, against the current. This equation can be used to find the speed of the current in the stream. 7 5+c 5-c What is the speed of the current in the stream? A. miles per hour B. miles per hour C. 4 miles per hour D. 5 miles per hour ----_.

16 6-6j..,,. What value of makes this equation true? A. B. c. D =8 bj. _.. The base of a triangle is represented bye inches. The height is 4 inches. The area of the triangle is 8 square inches. What is the value of? A. 9 B. 8 C. 6 D. 8 6V-. The equation.j + 4 = 5 compares the areas of two congruent triangles. What is the value of? A. B. C.? D

17 ir. The graph of the function f() = + X Z + 4 is shown on this coordinate plane. y, 0 5 / -4 -/ - :7 Il~ /5 0 T J I 0 c ""'"- I 4 7 Which statement best describes the behavior of the function within the interval =- to = O? A. From left to right, the function rises only. B. From left to right, the function falls and then rises. C. From left to right, the function rises and then falls. D. From left to right, the function falls, rises, and then falls. 66..' :,~'What is the formula for the function with a graph the same as the graph obtained by - reflecting the graph ofy =.J- across the -ais? A. y=-h B. y=-e C. y=h D. y=e. - --_.. ---_. 67. The verte of the quadratic function g() is located at (4, ). An -intercept of g() is located at (5, 0). What is the y-intercept of g()? A. (0, -0) B. (0,-4) C. (0, -4) D. (0,) _

18 :8 The quadratic function f() has these characteristics: The verte is located at (8, - ). The range is - S:. f() < co. Which function could be f ()? /8 A. f(x)=~x_8x+0 B.!()= -8+ C.!(X)=_~X D.!()=- -+ i.e;; v I. Use this graph of the function g() to answer the question. Which statement about the real solutions of g() is true? A. g() has no real solutions. B. g() has eactly one real solution. C. g() has two real solutions that are rational. D. g() has two real solutions that are irrational.

19 ' 7~ ) -? V What are the solutions to the equation 89 = 8 ~7 (! A. = -7 only B. = 750nly C. =-7and=75 D. = - 75 and = 75 Which epression represents the sum of the first n multiples of 8? A. 8n B. 8n C. 4n +4n D. 8n +8n 7. Ale started a business making bracelets. She sold 0 bracelets the first month. Her goal is to sell 6 more bracelets each month than she sold the previous month. If Ale meets her goal, what is the total number of bracelets she will sell in the first months? A. 78 B. 46 C. 498 D. 756 Which function is equivalent to f() = /+ +I? if ':- A. j() +5, = --, if <- if ': B. j() +5, = --, if < -X-5 if ':- C. j()= +: if <- -X-5 if ': D. j()= +: if <l

20 7V-. What is the function that results from multiplying f() = Il by - and shifting it units to the right? if :S; A. f() = l-x- ' +, if > if :S; 0 B. f() = l-x-' +, if > 0 - if :S; C. f() = ' -+, if > if :s; 0 D. f() =-' -+, if > 0 to 7'>-:' This graph shows the two parts of a piecewise function. For what value of is the function NOT defined? A. - B. 0 C. D. --- o

21 76. :" For which graph of a set of data is a linear function the best model? A. y l --j'- I, ' _, 0 -'-+----!- -'.. I 0 \0 _... ~_!-.. I. o'---'---'-~~~--~' X B. y l~~: 40,I. : O J_ J +..L., j:!. I !'!- r -L~! 0-...! ol-...'-...l. L...--'-I"" X c. y _...;--.r --...,.._ : 50 _.. ~-t l 40 --_. -.--~-~.!..~ I 0 _ ! 0 +.-t _..-r i.": i-.._.~_._: ---,_... D. Y o'--'-----'----'---'-i~' I0 --l-~-l- --!l 0'--' '-0--' ' X

22 This graph plots the number of wins in the 006 and 007 seasons for a sample of professional football teams. Team Wins, 006 and 007 "'-"'-"',"--"",.. T - 6 Q 4 0 '" e<:l <lj JJ t N 8.S '" :E c 6 4 =~-Ft=H=Hi,~ -..,...'j' ~,.. _~~-, -. ~ +++ -:±H:I-i~~t Wins in 006 Season The linear regression model for these data is y = Based on this model, what is the predicted number of 007 wins for a team that won 5 games in 006?. A. ~ B. 4,_-~ C. 5 D n 0, This graph shows the epected income from sales vs. price per issue for a new magazine. Price vs. Epected Income from Sales y 60 '--=~~:,-j- Tool o Price (in dollars) Which equation models these data? A. y= B. y = C. y= D. y=4.4-5.l+.0

23 This graph shows the price of a new audio-visual component over time. Price of New Audio-Visual Component Over Time Year Median Price (in dollars) Which is the best eplanation for why a linear model may not be appropriate for these data? A. The median price decreases over time. B. The value of the median price cannot be negative. C. The value of the median price cannot continue to decrease. D. A quadratic model would be a better fit because the rate of decrease is decreasing.