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MATH 1 EOCT REVIEW

MATH 1 EOCT REVIEW. Benchmark Questions. Question 1. Given the graph below, which of the following are true ?. I and II I and III I and IV I, II, and IV. Question 2. Which is a zero of the function defined by the following equation? f(x) = 3x – 6 . -6 -3 2 3.

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MATH 1 EOCT REVIEW

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  1. MATH 1EOCT REVIEW Benchmark Questions

  2. Question 1 Given the graph below, which of the following are true? • I and II • I and III • I and IV • I, II, and IV

  3. Question 2 Which is a zero of the function defined by the following equation? f(x) = 3x – 6 • -6 • -3 • 2 • 3

  4. Question 3 Of the following functions, which one is decreasing at a variable rate of change?

  5. Question 4 Use the table of values to determine the function represented. • g(x) = x • g(x) = x2 • g(x) = |x| • g(x) = x3

  6. Question 5 Evan went on a long trip. The graph below represents the relationship between distance and time. During what interval was Evan’s rate the fastest? 0 to 6 6 to 8 8 to 11 11 to 16

  7. Question 6 Mrs. Smith asked her students to identify the domain represented by the function graphed below. • -5  x < 6 • -6  x  2 • -5  x < 2 • Not here

  8. Question 7 The length of the side of the storm-signal flag is always 3 times the length of the side of the black square. The table 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? y = 3x2 y = 9x2 y = 1/3 x2 y = 1/9 x2

  9. Question 8 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.

  10. Question 9 For the sequence: 1, 6, 11, 16, …, the 50th term would be 46 246 251 256

  11. Question 10 Which trinomial is equivalent to (3x – 1)(x +4)? 3x2 + 11x – 4 3x2 + 13x – 4 3x2 – 11x + 4 3x2 + 11x + 4

  12. Question 11 Which equation BEST represents the area, A, of the rectangle below? A = 2x + 2(x + c) A = x2 + (x + c)2 A = x(x + c) A = 2x(x + c)

  13. Question 12 Which is equivalent to ?

  14. Question 13 If x ≠ 0, which expression is equivalent to

  15. Question 14 Simplify:

  16. Question 15 In triangle ABC, AC = 6, AB = 7, and BC = 5. Which is true? The mC is the least of the three angles. The mC is the greatest of the three angles. The mB is the greatest of the three angles. The mB is the least of the three angles.

  17. Question 16 The figure has an angle measure as shown. What is mABD? 150 B.80 C. 70 D. 30

  18. Question 17 Given: AE and BD bisect each other at C. What could be used to prove ABC  EDC? SSS SAS ASA AAS

  19. Question 18 Each exterior angle of a certain regular polygon measures 30. How many sides does the polygon have? 6 9 10 12

  20. Question 19 Which of the following quadrilaterals could have diagonals that are congruent but do not bisect each other? • rhombus • rectangle • parallelogram • trapezoid

  21. Question 20 A gazebo is to be constructed between three houses so that it will be approximately the same distance from each house. Which would be helpful in deciding where to locate the gazebo? circumcenter centroid incenter orthocenter

  22. Question 21 A drawer contains 6 red socks, 4 white socks, and 2 blue socks. What is the probability that you draw out a red sock and a blue sock without replacement? • 5/121 • 6/121 • 1/11 • 1/12

  23. Question 22 In how many different orders can 4 runners finish a race? 1 4 16 24

  24. Question 23 To logon to the school computer system each student must have a password with 3 letters and 2 digits in that order. Each letter and number can be used only once. How many different passwords are possible? (26 letters and 10 digits to choose from) 1,404,000 C. 468,000 1,123,200 D. 94

  25. Question 24 In a game, one wines $2 if they roll an even number on a 6-sided dies. If you roll an odd number, you lose $1. What is the expected value of the game? -$1.50 C. $0.50 -$0.50 D. $1.50

  26. Question 25 The following box plots show the number of cookies eaten by students in our class. The top box plot represents the cookies eaten by the boys and other is by the girls. Based on the box plots, which of the following statements about the cookies eaten is incorrect? about ½ of the boys ate more cookies than any of the girls All of the boys ate at least one cookie ½ of the girls ate 2 or more cookies ¾ of the girls ate 3 or fewer cookies

  27. Question 26 The mass, in kilograms, of 10 packages waiting to be shipped is 1, 1, 2, 3, 3, 4, 5, 5, 5, and, 6. The mean mass of the packages is 3.5 kg. What is the mean absolute deviation of the mass of the packages? 0.5 kg 1 kg 1.5 kg 5 kg

  28. Question 27 If the graph of f(x) is Which of the following is –f(x)?

  29. Question 28 Which function is the equation of the graph shown? y = (x + 3)2 y = (x – 3)2 y = x2 + 3 y = 3x2

  30. Question 29 Which of the following functions is even? y = x + 4 y = 2x2 – 3 y = |x– 2| y = ½ x3

  31. Question 30 Which of these are characteristics of the parent function of an absolute value equation? • Vertex at (0, 0) • Opens downward • Y-axis as its line of symmetry I and II only I and III only II and III only I, II, and III

  32. Question 31 Solve the equations: 3(x – 4)2 = 27 1, 7 -7, 7 -1, 1 -7, -1

  33. Question 32 Solve for x: 1.5, -0.5 C. B. 1.5 D.

  34. Question 33 Solve : C. B. D.

  35. Question 34 The equation y = 3(x – 2)(x + 2) has how many x-intercepts? 0 1 2 3

  36. Question 35 A diagonal walkway through a park is 18 meters long. If the park is square, how long is one of its sides to the nearest tenth of a meter? 9 m 12.7 m 18 m 25.5 m

  37. Question 36 Which of the following is not true about a parallelogram? Any 2 opposite sides are congruent Any 2 opposite angles are congruent The diagonals bisect each other Any 2 consecutive angles are complementary

  38. Question 37 In which quadrant will the midpoint of the line segment between points (3.9, -6.8) and (-10, -4.4) fall? I II III IV

  39. Question 38 Rectangle PQRS is shown. Segments SR is 15 cm and ST is 8.5 cm. What is the perimeter of the rectangle? 64 cm 46 cm 50 cm 120 cm

  40. Question 39 Which point is closest to the origin on a coordinate plane? (-5, 6) (-3, -7) ( 5.5, 5.5) (2, -8)

  41. Question 40 Rectangle ABCD is drawn on a coordinate plane with vertices A(-6, 2), B(-2, 5), C(4, -3), and D(0, -6). What is the perimeter of rectangle ABCE? 24 units 25 units 26 units 30 units

  42. I will log you off the remotes.Just pass them up.

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