AHSGE Sample Test Lee High School Math Department

AHSGE Sample Test Lee High School Math Department

1. The perimeter of the rectangle shown below is 8 x + 4. The length of side DC is 2 x + 2. What is the length of side AD? A. B. C. D. 2 x 3 x 6 x+2 3 x+1

2. What is the value of x? A. B. C. D. 35° 65° 80° 100°

3. Simplify: (x – 8)(x + 8) A. B. C. D. x 2 - 64 x 2 – 16 x - 64 x 2 + 16 x + 64 x 2

4. Factor: 5 x 2 – 5 A. B. C. D. 5(x – 1) 5(x + 1)(x – 1) 5(x – 1)

5. Solve: A. B. C. D.

6. Which of these equations represents the graph below? A. B. C. D. y = |x| y = x 2 y= x y=x

7. Which of these equations represents the data in the table? A. B. C. D. y=x+8 y=½x+9 y = 2 x + 6 y = 4 x + 2 x y 2 10 5 22 -3 -10

8. Which of these graphs represents the solution of – 8 < 3 x – 2 < 7? A. B. C. D.

9. Simplify: 4 w – 2 z – (w + 3 z) A. B. C. D. 25 w – 5 z 3 w + z 4 w – 5 z

10. What is the mode of this set of data? 4, 6, 9, 4, 2, 4, 6 A. B. C. D. 9 6 4 2

11. What is the value of x in the right triangle below? A. B. C. D. 2 33 2 3 10 6

12. Which of these graphs represents the solution of x – 3 < – 2? A. B. C. D.

13. What is the solution of the following system of linear equations? y = 2 x 4 x – y = 10 A. B. C. D. ( 5/3 , 10/3 ) ( 5 , 10 ) ( -5 , -10 ) ( -2 , -4 )

14. Given: a || b, m 1 = 60°. What is m 2? A. B. C. D. 30° 40° 60° 120°

15. Solve: –x + 4 = – 5 x + 16 A. B. C. D. 4 3 -3 -4

16. Nick earned scores of 85, 90, 82, and 73 on his first four history tests. If Nick wants his mean test score to be 86 after five tests, what test score must he earn on his fifth test? A. B. C. D. 100 90 80 70

17. What is the equation of the line shown in the graph below? A. B. C. D. y = -3 y=x x = -3

18. If a circular rug has a diameter of 8 feet, what is the area of the rug to the nearest square foot? Use A = Πr 2 and p = 3. 14. A. B. C. D. 25 square feet 50 square feet 226 square feet 452 square feet

19. Which of these graphs represents the solution of x > – 3? A. B. C. D.

20. The measure of an angle in degrees is 4 x. Which of these represents the measure of its supplement? A. B. C. D. 90 – 4 x 180 – 4 x 4 x + 180 4 x + 90

21. Which of these graphs represents the equation f(x) = –x + 4? A. C. B. D.

22. Which of these equations represents the graph below? A. B. C. D. y = -x y = -|x| y=x y = -x 2

23. The area of a rectangular patio is 216 square feet. The length is 6 feet less than twice the width. What is the width of the patio? A. B. C. D. 9 feet 10 feet 12 feet 18 feet

24. Solve: – 2(m – 4) < 2 – 4(2 m + 3) A. B. C. D. m<2 m < -3 m < 7/6 m > -7/6

25. A scale drawing is drawn to a scale of 1 : 5. If the length of the actual object is 10 feet, what is the length of the scale drawing? A. B. C. D. 2 inches 20 inches 24 inches 50 inches

26. Twenty-five tiles are placed in a box — 7 white, 10 yellow, and 8 red. In a random drawing, two tiles are chosen without replacement. What is the probability that the first tile selected will be red and the second tile will be white? A. B. C. D. 7/75 68/75 56/625 569/625

27. Which of these inequalities describes this graph? A. B. C. D. -1 < x < 5

28. Which of these graphs represents the equation y = – 4? A. C. B. D.

29. What is the area of triangle ABC? A. B. C. D. 4 x 2 – 8 x 4 x 2 – 4 x 2 x 2 – 8 x 2 x 2 – 4 x

30. Solve: A. B. C. D. 25/3 5 12 18

31. Solve: 5 a – 1 > 4 a + 7 A. B. C. D. a > 2/3 a < 2/3 a<8 a>8

32. Which of these graphs represents a line with x-intercept of 2 and y-intercept of – 2? A. C. B. D.

33. Solve: 6 y – 3(y + 2) + 5 < 0 A. B. C. D. y < 1/3 y < -1/3 y<3

34. Which of the following relations describes a function? A. B. C. D. {(– 7, 8), (1, 4), (1, 8), (– 1, 4)} {(– 2, 1), (4, 5), (3, 2), (– 2, 0)} {(6, 3), (5, – 4), (5, – 1), (– 3, 2)} {(8, 1), (7, 4), (– 7, – 4), (– 8, – 5)}

35. What is the equation of a line with slope – 2 that passes through the point (0, – 4)? A. B. C. D. y = -4 x + 2 y = -4 x – 2 y = -2 x – 4 y = -2 x + 4

36. Simplify: 3 – |4 – 9| + 7 A. B. C. D. -3 5 15 23

37. Which of these tables represents the function f (x) = |x – 8|? A. C. B. D.

38. A convex polygon has 14 sides. What is the sum of the measures of the interior angles? A. B. C. D. 1980° 2160° 2520° 2340°

39. If f (x) = – 4 x 2 + 3 x – 2, what is f (– 4)? A. B. C. D. 18 50 -46 -78

40. What is the slope of the line shown in the graph? A. B. C. D. -3 - 1/3 1/4 4

41. In a group of 30 people, 8 have blonde hair, 6 have black hair, 12 have brown hair, and 4 have red hair. If a person is chosen at random, what is the probability that the person has blonde hair or red hair? A. B. C. D. 2/15 2/5 3/5 13/15

42. Which of these graphs represents a line that has a slope of – 3/2 and passes through (4, – 2)? A. C. B. D.

43. Simplify: A. B. C. D. -r r r–¼s r–s

45. The endpoints of MP are (– 5, 2) and (8, – 1). What are the coordinates of the midpoint of MP? A. B. C. D. ( 3/2 , 1/2 ) ( 13/2 , 3/2 ) ( -3/2 , -1/2 ) ( -13/2 , -3/2 )

46. The sum of three consecutive integers is 111. What is the value of the greatest integer? A. B. C. D. 36 37 38 39

47. Solve: 49 x 2 – 1 = 0 A. B. C. D. 1/49, -1/49 1/7, -1/7 7, -7 49, -49

48. If ABCDEF ~ JKLMNO, what is the length of segment JK? A. B. C. D. 6 4 1½ 2/3

49. What is the range of this function? {(– 2, 6), (3, – 1), (– 4, 5), (2, – 3)} A. B. C. D. {– 4, – 2, 2, 3} {– 3, – 1, 5, 6} {– 4, – 3, – 2, – 1, 2, 3, 5, 6}

50. Which of these graphs represents the solution of x – 2 > – 1 or 3 x + 16 ≤ 10? A. B. C. D.