GA Math I Formative Assessment Units 1-3 *Diagnostic Only* (2009MathI-Units1-3)

Transcription

1 Name: Date: 1. If the graph of f(x) is, which of the following is the graph of f(x)? 1

2 2. Which set of statements represents an invalid argument? 3. Which trinomial is equivalent to? 4. What is the inverse of the statement "If it is spring, then flowers bloom"? If it is not spring, then flowers do not bloom. If it is not spring, then flowers bloom. If flowers do not bloom, then it is not spring. If flowers bloom, then it is spring. 2

3 5. Which data set is BEST described by the function? 6. For the sequence: 1, 6, 11, 16,..., the 50 th term would be:

4 7. Ben's Bakery charges a fee of 2d + 25 to deliver d boxes of baked goods while Dan's Bakery charges 3d Which expression describes how much more Dan's Bakery charges than Ben's Bakery? 5d + 45 d 5 d + 5 d Megan is using an equilateral triangle as part of a design on a sweatshirt. Each side of the triangle is 12 inches long. Megan is gluing a line of stars from the midpoint of one side of this triangle to the opposite vertex. Approximately how long will the line of stars be? 13.4 in in. 8.5 in. 5.2 in. 9. If y is a function of x in the equation, which statement is true? The independent variable x is equal to 16 less than the square of the dependent variable y. The independent variable y is equal to 16 less than the square of the dependent variable x. The dependent variable y is equal to 16 less than the square of the independent variable x. The dependent variable x is equal to 16 less than the square of the independent variable y. 4

5 10. An object was dropped from a height of 250 meters and fell to the ground. The graph below shows the change in h, the object's height in meters, with respect to t, the time in seconds. The function that models the relationship between the height and time is. For which t is h(t) = 120 meters? Between 3.0 seconds and 3.25 seconds Between 3.75 seconds and 4.0 seconds Between 3.5 seconds and 3.75 seconds Between 3.25 seconds and 3.5 seconds 11. Which of these are characteristics of the parent function of an absolute value equation? I and II only I and III only II and III only I, II, and III 5

6 12. The table below shows a pattern: Which expression can be used to determine the number of smiling faces in the Figure n? 6

7 13. Mrs. Cox asked her students to identify the domain represented by the function graphed below. Which of the following student responses is correct? 14. An ice-cream vendor made a table showing the relationship between the daily high temperature and the number of ice-cream cones sold per day. What is the dependent quantity in this relationship? The daily high temperature The number of ice-cream cones sold per day All the data Cannot be determined 7

8 15. Which graph BEST represents the relationship shown in the table below: 8

9 16. A diagonal walkway through a park is 18 meters long. If the park is a square, how long is one of its sides to the nearest tenth of a meter? 9.0 m 12.7 m 18.0 m 25.5 m 9

10 17. A flag company makes storm-signal flags in multiple sizes. The length of the side of the flag is always 3 times the length of the side of the black square. The table below describes y, the area of the black square in square units, as a function of x, the length of the flag's side. Which equation describes this functional relationship? 10

11 18. Gina did a research project on how age affects sleep patterns. She concluded that as people age, they sleep fewer hours until a point in adulthood when the number of hours remains constant. Gina also found that after the age of 70 the amount of time spent sleeping increases slightly. Which graph BEST shows the results of Gina's research? 11

12 19. The graph shows the path of a golf ball. What is the range of the function above? 0 < y < y x 7 0 < x < Which of the following is NOT true about a parallelogram? Any two opposite sides are congruent. Any two opposite angles are congruent. The diagonals bisect each other. Any two consecutive angles are complementary. 12

13 21. Which equation BEST represents the area, A, of the rectangle below? 22. For the function, which of these values of x does y = 1? In triangle ABC, AC=6, AB=7, and BC=5. Which of the following statements is true? The measure of is the least of the three angles. The measure of is the greatest of the three angles. The measure of is the greatest of the three angles. The measure of is the least of the three angles. 13

14 24. In any, which statement is always true? 25. Which is the contrapositive of the statement, "If I am in Macon, then I am in Georgia"? If I am in Georgia, then I am in Macon. If I am not in Macon, then I am not in Georgia. If I am not in Georgia, then I am not in Macon. If I am not in Georgia, then I am in Macon. 26. Given: AE and BD bisect each other at Which could be used to prove? (SSS) If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent. (SAS) If 2 sides and the angle between them in one triangle are congruent to 2 sides and the angle between them in another triangle, then the triangles are congruent. (ASA) If 2 angles and the side between them of one triangle are congruent to 2 angles and the side between them of another triangle, then the triangles are congruent. (AAS) If 2 angles and a side not between them are congruent to 2 angles and a side not between them of another triangle, then the triangles are congruent. 14

15 27. On a map, Tannersville, Chadwick, and Barkersville form a triangle. Chadwick is 70 miles from Tannersville and Barkersville is 90 miles from Tannersville. Which is a possible distance between Chadwick and Barkersville? 5 miles 10 miles 150 miles 200 miles 28. Figure ABCDEFGH is a regular octagon. What is the measure of? 15

16 29. The figure below has angle measures as shown. What is the measure of? 30. Use the figure ABCDE to answer the following question. (SSS) If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent. (SAS) If 2 sides and the angle between them in one triangle are congruent to 2 sides and the angle between them in another triangle, then the triangles are congruent. (ASA) If 2 angles and the side between them of one triangle are congruent to 2 angles and the side between them of another triangle, then the triangles are congruent. (AAS) If 2 angles and a side not between them are congruent to 2 angles and a side not between them of another triangle, then the triangles are congruent. 16

17 31. Which of the following could be the lengths of the sides of ABC? AB = 12, BC = 15, AC = 2 AB = 9, BC = 15, CA = 4 AB = 150, BC = 100, CA = 50 AB = 10, BC = 8, AC = Which is equivalent to 33. Which of the following quadrilaterals could have diagonals that are congruent but do not bisect each other? rhombus rectangle parallelogram trapezoid 17

18 34. Each exterior angle of a certain regular polygon measures. How many sides does the polygon have? According to the Venn diagram above, which is true? All cars have automatic transmissions and rear-wheel drive. No cars have 4 cylinders and rear-wheel drive. All cars have rear-wheel drive. Some cars have automatic transmissions and 4 cylinders. 18

19 36. If, which expression is equivalent to 37. Of the following functions, which one is decreasing at a variable rate of change? 19

20 38. Using the graph below of y = f(x), answer the following question. What is the value of f(3)?

21 39. Using the graph below of y = f(x), answer the following question. For what x-value does f(x) = 3?

22 40. Using the graph below of y = f(x), answer the following question. For what x-values is f(x) < 0? 41. Use the equation y = 3(x - 2)(x + 2) to answer the following question. The graph of the equation has how many x-intercepts?

23 42. Use the equation y = 3(x - 2)(x + 2) to answer the following question. What is the vertex of the graph of the quadratic? (0, -12) (3, -12) (0, -4) (3, -4) 43. Use the equation y = 3(x - 2)(x + 2) to answer the following question. Compared to the parent function,, what transformation(s) were made to produce this quadratic? vertical stretch of 3 and a vertical translation up 12 vertical stretch of 3 and a vertical translation down 12 vertical stretch of 3 and a vertical translation up 4 vertical stretch of 3 and a vertical translation down The volume of a rectangular prism is. The height of the prism is (-2n). What is the area of the base of the prism? 23

24 45. The chart below shows the average monthly price per share of HiTek stock for each month in Which of the following curves BEST models the general behavior of the stock's price last year? 24

25 46. Harry measured all but one angle of a hexagon. The total degree measure for all of the angles he measured was. What is the measure, in degrees, of the remaining angle? 47. A rectangle and an equation representing its area, A, are shown below. Which of the following could represent b, the length of the base of the rectangle, and h, the height of the rectangle? b = (x 3); h = (x 2) b = (x 3); h = (x + 2) b = (x + 3); h = (x + 2) b = (x + 3); h = (x 2) 25

26 48. Which is equivalent to? 49. The total surface area of a cube is 78 square inches. Which of the following measures is closest to the length of its edge? 8.8 in. 8.6 in. 3.6 in. 3.4 in. 50. The partial drawing of a quadrilateral is shown below. If no other sides or angles are congruent, which best describes the figure? square rectangle parallelogram trapezoid 26

27 Answer Key 1. C) 2. C) 3. A) 4. A) If it is not spring, then flowers do not bloom. 5. C) 6. B) B) d 5 8. B) 10.4 in. 9. C) The dependent variable y is equal to 16 less than the square of the independent variable x. 10. C) Between 3.5 seconds and 3.75 seconds 11. B) I and III only 12. D) 27

28 13. A) 14. B) The number of ice-cream cones sold per day 15. B) 16. B) 12.7 m 17. D) 18. A) 19. B) 0 y D) Any two consecutive angles are complementary. 21. C) 22. B) B) The measure of is the greatest of the three angles. 24. D) 25. C) If I am not in Georgia, then I am not in Macon. 28

29 26. B) (SAS) If 2 sides and the angle between them in one triangle are congruent to 2 sides and the angle between them in another triangle, then the triangles are congruent. 27. C) 150 miles 28. A) 29. A) 30. A) (SSS) If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent. 31. D) AB = 10, BC = 8, AC = C) 33. D) trapezoid 34. D) D) Some cars have automatic transmissions and 4 cylinders. 36. D) 37. A) 38. A) D) C) 29

30 41. C) A) (0, -12) 43. B) vertical stretch of 3 and a vertical translation down B) 45. B) 46. C) 47. D) b = (x + 3); h = (x 2) 48. C) 49. C) 3.6 in. 50. D) trapezoid 30