GPS Diagnostic Test #1 Georgia High School Graduation Tests

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1 GPS Diagnostic Test #1 Georgia High School Graduation Tests Name: 1. Which graph does not have any symmetry? B. D.. Which equation s solution is x = 11i? x 11 0 x 11 0 B. x 11 0 D. x Triangle RST is isosceles. S 4x R 6x 8 Which of the following could be the measure of T? () 4 B D Hayden is working on a 50-piece puzzle. The puzzle has edge pieces. The rest are inside pieces. Hayden will pick two puzzle pieces at random. What is the probability that both of the puzzle pieces she picks will be inside pieces? 14 5 B D GPS GHSGT Preparation Materials Phoenix High School p.1

2 5. Lou and Ed are lying on the ground looking up at the top of a tree. This diagram shows their positions and the distance Lou is from the tree. Lou is looking up at a 60 Lou is 4 feet from the base of the tree. Ed is looking up at a 45 angle. What is the approximate distance between Lou and Ed? () 4 ft B. 4 ft 18 ft D. 10 ft 6. A student plotted points R and S on a coordinate grid. Point R is located at (7,) Point S is located at (4, ) What is the distance between points R and S? (1) units 10. units B. 5 units D units 7. A study was conducted to compare the number of hours the same set of flashlights would run on two different battery brands. The results are represented in this double box-and whisker plot. Which statement is correct? () Brand A is more likely than Brand B to last more than 5½ hours. B. Brand A is less likely than Brand B to last more than 5½ hours. Brand A is more likely than Brand B to last less than 4 hours. D. Brand A is less likely than Brand B to last less than 4 hours. 010 GPS GHSGT Preparation Materials Phoenix High School p.

3 8. This inequality can be used to find the range of possible weights in ounces, w, for a box of cereal. What is the range of weights, in ounces, for the box of cereal? w B. w w D w Four functions are plotted on this coordinate plane. Which function has a rate of change that approaches 0 as x increases over all values? f(x) B. g(x) h(x) D. k(x) 10. Which expression is equivalent to y 6 y y y 6? B. y y D. y y 11. This equation can be used to find the amount of money, in dollars, that Mr. Lewis will have in his account after t years. 0, How much money will Mr. Lewis have in his account after years? $, $5,17.91 B. $0, D. $69, t 1. Which expression is equivalent to x x B. 1 x 8 8 x D. 8 x 010 GPS GHSGT Preparation Materials Phoenix High School p.

4 1. A student sketched this graph of a function. Which equation is a zero of the student s function? x = x = 1 B. x = 0 D. x = Two bicycle shops rent bikes by the hour. The cost to rent a bike for h hours from each shop is represented by these functions. Shop 1: f h h 4 Shop : g h h 11 Ellen rented a bike from Shop 1. Roger rented a bike from Shop. They rented their bikes for the same number of hours and paid the same rental costs. For how many hours did Ellen and Roger each rent their bike? 5 B. 7 D What are the roots of the equation y x x 8? x= 4 and x = 7 x= 4 and x = 7 B. x= 4 and x = 7 D. x= 4 and x = This parabola represents the height of a toy plane with respect to amount of time after takeoff. During which interval was the plane flying the fastest? from 0 to 1 minute from to 4 minutes B. from 1 to minutes D. from 4 to 6 minutes 010 GPS GHSGT Preparation Materials Phoenix High School p.4

5 17. Which expression is equivalent to x y z z x y 5 4 B. x y z 5x 18. Triangle ABC is shown in the diagram. Which expression represents the area of triangle ABC? 9x y 5z 4 D. 9x y z 5x B. D. 8x y 16x 4y 8x 4xy y 16x 8xy 4y 19. Given the domain of the function f x x 1 is x 0. What is the range of the function? 4 f x 0 f x B. f x D. 0 f x 0. Kayla and Joanne each bought walnuts and almonds Each pound of walnuts cost x dollars. Each pound of almonds cost y dollars. The total price Kayla and Joanne each paid is modeled by these equations. 1.5x 1.75y x.5y 15.5 Which equation can be used to find x and y, the cost per pound of walnuts and almonds? x y x 15.5 B y x y x y 15.5 x y D. x y The sum of all interior and exterior angles of a polygon is 880. How many sides does the polygon have? 8 B D GPS GHSGT Preparation Materials Phoenix High School p.5

6 . A fire tower is located 10 feet from one edge of a canyon. This diagram shows the angle of depression from the tower to the far edge of the canyon. What is the approximate width of the widest part of the canyon? 5 ft. B. 58 ft. 6 ft. D. 68 ft.. The length of AB is 10 units. Point A is located at (1, ) Which coordinates could represent the location of point B? ( 4, 8) B. (4, ) (7,5) D. (11,7) 4. An ice-cream shop sells spherical scoops of ice cream. Each scoop has a diameter of inches. One half-gallon container holds about 114 cubic inches of ice cream. About how many -inch scoops can be made from one half-gallon container of ice cream? 9 B D If m and n are odd integers, which of the following must also be an odd integer? (m + n)(m n) B. m(n + 1) mn + 1 D. m + n 6. A student is drawing a triangle. She has already drawn two sides. The length of the first side is 11 inches The length of the second side is inches. Which length can the student use for the third side? 11 inches B. 1 inches inches D. 4 inches 010 GPS GHSGT Preparation Materials Phoenix High School p.6

7 7. Lines r and s are parallel in this diagram. What is the value of y? 60 B. 5 D This diagram shows a triangle inscribed in circle O. What is the value of y? B. 59 D. 78 y 9. A circle with a diameter of 10 units is centered at (4, 1) on a coordinate grid. Which equation represents the circle? x 4 y 1 5 x 4 y B. x 4 y 1 5 D. x 4 y A student drew a quadrilateral that has four congruent sides. The opposite sides of his quadrilateral are parallel. Which type of quadrilateral did the student draw? a kite B. a rhombus a rectangle that is not a square D. a trapezoid that is not a square 1. A student drew this figure. Which expression represents the length of the side the student labeled q? 10 cm 0 cm B. 10 cm D. 0 cm GHSGT Preparation Materials p.7

8 . Quadrilateral FGHJ is plotted on a coordinate grid. Vertex F is at (, 4) Vertex F is at (, 1) Which shape best describes quadrilateral FGHJ? Vertex F is at ( 7, 4) Vertex F is at (, 6) kite rhombus B. trapezoid D. parallelogram. A team of 5 members of the math club will be selected to go to a tournament. There are a total of 1 members in the math club. How many different teams of 5 can be selected from the members of the math club? B. 95,040 D. 48,8 4. This table shows the number of points earned after a fair number cube is rolled in a game. What is the expected value of points earned on any given roll? B. 15 D Two classes took the same science test. The first class had a mean score of 79 points with a standard deviation of 5 points. The second class had a mean score of 79 points with a standard deviation of 8 points. Each class has the same number of students. Based on the data which statement must be true? The first class had the highest average score. B. The second class had the highest average score. More students in the first class scored within 5 points of the mean than the second class. D. More students in the second class scored within 5 points of the mean than the first class. 6. A student playing a game with colored cards. He has 5 blue, 5 green, 5 red, and 5 yellow cards. The student will shuffle the cards and take the top 4 cards from the pile. Which value is closest to the probability that all 4 cards the student takes will be the same color? B D GHSGT Preparation Materials p.8

9 7. This double stem-and-leaf plot shows the daily attendance at a water park during July and August. Which statement is correct? The interquartile range of attendance was much less for July than for August. B. The interquartile range of attendance was slightly less for July than for August. The interquartile range of attendance was slightly greater for July than for August. D. The interquartile range of attendance was much greater for July than for August. 8. A student has a bag containing red balls, yellow balls, and green balls. The student will take a ball from the bag without looking. The probability that the ball he takes will be red is The probability that the ball he takes will be yellow is 0.5. What is the probability that the ball the student takes from the bag will be green? B D This scatter plot shows the relationship between x, an employee s years of experience, and y, the time it takes the employee to complete a task. What is the value of the y-intercept for the linear regression line that best models the data? B. 50 D There are 6 students running for class president. Each student must give a speck. The order in which they give their speeches will be randomly selected. In how many ways can the students speeches be ordered? 6 70 B. 5,040 D. 46, GHSGT Preparation Materials p.9

10 41. This circle graph shows the number of customers that ordered different breakfasts at diner. What is the probability that a customer chosen at random from the diner ordered either eggs or pancakes? B D Mr. Lee bought 6 new pants and 7 new shirts. Now he needs to buy new ties. Mr. Lee wants to be able to wear a different combination of one pair of pants, one shirt, and one tie every day for one year. What is the minimum number of ties he should buy? 8 B D Which of the following functions represent y x? B. D. 44. Consider the parent graph y x graph 5 units to the left?. Which equation below would vertically translate the parent y x 5 B. y x 5 y x 5 D. y x Consider the parent graph y x. How would the graph y x compare to the parent graph? Reflection over the y-axis. B. Reflection over the x-axis. Reflection over the x-axis and the y-axis D. Reflection over the line y = x 46. The graph of the function y x Always negative B. Always positive has a rate of change which is: Constant D. Zero 008 GHSGT Preparation Materials p.10

11 47. Consider the graph of the function that would describe the Mom s cost in the following situation. A mom has asked the manger at Party Pete s Pizza how much her daughter s birthday pizza party will cost. The manger suggested that the party will cost $5.00 per guest plus an initial fee of $0. Which graph below most appropriately shows the cost for the pizza party? B. D. 48. Which sequence is FINITE? 1 1 8,4,,1,,,...,0 4,5,7,9,...,0 B. 1,1,,4,8, ,6,,18,14,... D. 49. Which function has a range of y 0 y x B. y x y x D. y x 50. Simplify by removing the radical from the denominator 5 B. D. 51. Which is a factor of 6x + 10x 4? (x + 8x + ) B. (x + ) (x ) D. None of these 008 GHSGT Preparation Materials p.11

12 5. Solve the proportion: x = -5, B. x = x = 5 D. x = 5, - 5. Solve the radical equation. 5y 1 y 11 y 1 B. y 1 y D. y 54. Simplify i ( i 4) + 5i 9 + i B. 9 i + i D. i 55. Which piecewise function is represented by the graph? B. D. 56. Which graph is the reflection of y over the y-axis? 4 B. D. x 010 GHSGT Preparation Materials p.1

13 Write an exponential function that represents the following sequence:,,,8, t 4 n B. 1 n 1 n n 58. Use these functions to answer the question: n1 t n n(4 ) 8 t D. 1 n 1 4 f x 4x g x f gx x x 4 t n 8 Which statement about the functions f(x) and g(x) is true? They are inverse functions because gx B. They are inverse functions because gx They are not inverse functions because gx D. They are not inverse functions because gx f is not equal to 0. f is equal to x. f is not equal to 0. f is equal to x. 59. Which of the below expressions is equivalent to 6 x? 1 x B. x 8 x D. 1 x 60. The endpoints of a segment are 8,8 and, midpoint of the segment. 6. What are the coordinates of the,6 B. 1, 14,10 D. 7,5 61. What is the inverse of the following statement: If an angle is acute, then its measure is less than 90 degrees. If the measure of an angle is less than 90 degrees, then the angle is acute. B. If the measure of an angle is not less than 90 degrees, then the angle is not acute. If an angle is not acute, then its measure is not less than 90 degrees. D. An angle is acute if and only if its measure is less than 90 degrees. 6. Which congruence postulate would be best to prove DEF DEG? SSS B. SAS AAA D. AAS 010 GHSGT Preparation Materials p.1

14 6. Which triangle center is best illustrated by the diagram shown? Incenter B. Circumcenter Orthocenter D. Centroid 64. The area of the shaded region in the diagram below is 67.0 square units. The radius of the circle is 8 cm. Find the measure of. A 4 cm B. 6 cm 8 cm D. 16 cm C B 65. Which of the following best classifies the quadrilateral ABCD shown? Trapezoid B. Square Rhombus D. Kite 66. Use the table to find the probability that a person selected from the sample is left handed given that she is a woman or P(left-handed woman). B. D. 010 GHSGT Preparation Materials p.14

15 67. A health study is being conducted at a school of 950 students to determine some information about the weight of students. The administrator in charge of the study was working late after school and decided to sample 58 of the available students which were all members of the varsity football team Which statement the most obviously true? The sample is biased because all students at the school were not equally likely to be a part of the sample. B. The sample is biased because it was conducted after school. The sample is acceptable because it is large enough. D. The sample is not acceptable because it is not large enough. 68. Consider each of the following questions on wearing seat belts. Which question is the most unbiased? Is it really possible for a person to still believe that wearing a seat belt is not completely necessary? B. Is wearing a seat belt necessary for the complete safety of all passengers in all vehichles? Wearing a seat belt is currently required by state law. Do you agree with this law? D. None of these question is unbiased. 69. Given ABC with right angle Find the length of leg. 1 B D Given the diagrams below, for which situation is there NOT enough information to prove the triangles congruent? A BC EC, and AC DC B. BC EC, and B E B E, and A D B C E D. AC DC, and A D D 010 GHSGT Preparation Materials p.15