1 How would the graph of the function

1. How would the graph of the function y = x 2 + 4 be affected if the function were changed to y = x 2 + 1? F The graph would shift 3 units up. G The graph would shift 3 units down. H The graph would shift 3 units to the right. J The graph would shift 3 units to the left. Obj 5 - TAKS 2004 9 th [A. D 1(C)] 9 th

2. The area of a rectangle is 3 x 2 + 14 x + 8, and the width is x + 4. Which expression best describes the rectangle’s length? F 3 x + 2 G 2 x + 4 H 2 x + 2 J Obj 2 - TAKS 2004 9 th [A. B 4(A)] 3 x − 2 9 th

3. Which equation could be used to generate this table of values? A B y = 2 x + 1 C y=x+1 D Obj 1 - TAKS 2004 9 th [A. B 1(B)] y = − 2 x y = x 2 + 1 9 th

4. Which equation best describes the relationship between the corresponding values of x and y shown in the table? F G y = 2 x − 8 H y = 3 x − 6 J Obj 1 - TAKS 2004 9 th [A. B 1(B)] y = x − 10 y = x 2 − 8 9 th

5. The table below shows the number of sides and diagonals in certain polygons. Based on the table, how many diagonals should a 9 -sided convex polygon have? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Obj 10 - TAKS 2004 9 th [8. 16(A)] 9 th

6. Simplify the algebraic expression 3(x + 3) − 2(x + 3). F x + 3 G x − 3 H − 6 x 2 − 54 J Obj 2 - TAKS 2004 9 th [A. B 4(B)] 6 x 2 + 3 9 th

7. Which function includes the data set {(2, 4), (6, 6), (12, 9)}? Obj 3 - TAKS 2004 9 th [A. C 1(C)] 9 th

8. Which graph shows a function y = x 2 + c when c <− 1? Obj 5 - TAKS 2004 9 th [A. D 1(C)] 9 th

9. The graphs of the linear equations y = 2 x − 3 and y = 3 x − 7 are shown below. If 2 x − 3 = 3 x − 7, F G H J Obj 4 - TAKS 2004 9 th [A. C 3(B)] what is the value of x? 4 5 9 10 9 th

10. The scale factor of two similar polygons is 2: 3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon? A B 75 cm C 50 cm D Obj 8 - TAKS 2004 9 th [8. 10(A)] 100 cm 150 cm 9 th

11. Simplify the algebraic expression 5(x + 3)(x + 2) − 3(x 2 + 2 x + 1). A 2 x 2 + 7 B 2 x 2 + 27 C 2 x 2 + 7 x + 7 D 2 x 2 + 19 x + 27 Obj 2 - TAKS 2004 10 th [A. B 4(B)] 10 th

12. Which expression can be used to find the values of s(n) in the table below? F G 5 n H n+4 J Obj 2 - TAKS 2004 10 th [A. B 3(B)] 3 n 3 n + 2 10 th

13. Rita put some hummingbird feeders in her backyard. The table shows the number of hummingbirds that Rita saw compared to the number of feeders. Which equation best describes the relationship between h, the number of hummingbirds, and f, the number of feeders? Obj 4 - TAKS 2004 10 th [A. C 3(A)] 10 th

14. What is the effect on the graph of the equation y = − 4 x 2 when the equation is changed to y = 4 x 2 ? A The graph of y = 4 x 2 is translated 8 units down. B The graph of y = 4 x 2 is a reflection of y = − 4 x 2 across the x-axis. C The graph of y = 4 x 2 is translated 8 units up. D The graph of y = 4 x 2 is a reflection of y = − 4 x 2 across the y-axis. Obj 5 - TAKS 2004 10 th [A. D 1(B)] 10 th

15. Which inequality best describes the graph shown below? F G H J Obj 1 - TAKS 2004 10 th [A. B 1(D)] y y ≥ − 2 x ≥ −x − 2 ≥ − 2 x − 2 ≥x− 2 10 th

16. Which expression is equivalent to 5(x 2 - 4 x) - (x + 1)? A 5 x 2 - 21 x + 1 B 5 x 2 - 5 x - 1 C 5 x 2 - 21 x - 1 D 5 x 2 - 5 x + 1 Obj 2 - TAKS 2004 10 th [A. B 4(B)] 10 th

17. Troy borrowed money from his father so that He could buy a used car. The table shows the remaining balance, b, of Troy’s loan after each payment. Which function can be used to describe this relationship? A B b = 4135 - 225 p C b = 2785 + 225 p D Obj 1 - TAKS 2004 10 th [A. B 1(B)] b = 3910 + 225 p b = 3685 - 225 p 10 th

18. How does the graph of y = x 2 differ from the graph of 19. y = x 2 - 4? A The graph of y = x 2 - 4 is wider than the graph of y = x 2. B The graph of y = x 2 - 4 is shifted to the left of the graph of y = x 2. C The graph of y = x 2 - 4 is shifted down from the graph of y = x 2. D The graph of y = x 2 4 is narrower than the graph of y = x 2. Obj 5 - TAKS 2004 10 th [A. D 1(C)] 10 th

19. Which graph best represents the function y = -1. 75 x + 5? Obj 3 - TAKS 2004 10 th [A. C 1(C)] 10 th

20. Which equation describes the line that passes through the point (4, 7) and is parallel to the line represented by the equation -3 x + y = 4? Obj 3 - TAKS 2004 10 th [A. C 2(D)] 10 th

21. The graph of the equation y = (5/3)x – 3 is given below. Graph y = x + 1 on the grid. What is the solution to this system of equations? A B (5, 6) C (6, 7) D Obj 4 - TAKS 2004 11 th [A. C 4(B)] (0, 1) No solution 11 th

22. Which equation best describes the relationship between x and y shown in the table below? A B x = 3 y C x = 3 y 2 D Obj 8 - TAKS 2004 11 th [8. 10(A)] y = 3 x 2 11 th

23. Which ordered pair represents one of the roots of the function f(x) = 2 x 2 + 3 x - 20? Obj 5 - TAKS 2004 11 th [A. D 2(B)] 11 th

24. Which equation represents the line that passes through the points (1, 4) and (3, 2)? Obj 3 - TAKS 2004 11 th [A. C 2(D)] 11 th

25. Matt is a speed skater. His coach recorded the following data during a timed practice period. If Matt continues to skate at the rate shown in the table, what is the approximate distance in meters he will skate in 25 seconds? A B 175 m C 150 m D Obj 3 - TAKS 2004 11 th [A. C 2(G)] 250 m 278 m 11 th

26. Ms. Barton determined that the total cost of her wedding, c, could be represented by the equation c = 75 n + 1500, where n is the number of people attending the wedding. If Ms. Barton’s wedding cost $8625, how many people attended the wedding? F 135 G 95 H 115 J Obj 4 - TAKS 2004 11 th [A. C 3(B)] 75 11 th

CALCO 2004 ANSWERS D. 278 m B. b = 4135 – 225 p G. The graph would shift 3 units down. G. (-4, 0) G. y = 3 x – 5 G. 95 C. (6, 7) C. The graph of y = x 2 – 4 is shifted down from the graph of y = x 2. H. y = 3 x - 6 y = 3 x 2 F. 3 x + 2 D. y = x 2 + 1 F. X + 3 27 F. 4 A. 100 cm F. h = 2 f + 1 C. 5 x 2 – 21 x – 1 D. 2 x 2 + 19 x + 27 G. Y > -x - 2 D. J. 3 n + 2 B. The graph of y = 4 x 2 is a reflection of y = -4 x 2 cross the x-axis. F.