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Page 1 of 8

1. If the expression

, then one possible value of x could be:

C 1

C 2

C 5

2. In the graph above, ABCD is a square.

What are the coordinates of point B?

(C1, C4)

(C1, 4)

(C1, 6)

(C3, 1)

(C3, 4)

3. Line y = 2/3x C 5 is perpendicular to line:

y = 2/3x + 5

y = 5 C 2/3x

y = C2/3x C 5

y = 2/3x C 5

y = C2/3x + 5

4. If 30% of r is equal to 75% of s, what is 50% of s if r = 30?

4.5

5. A dormitory now houses 30 men and allows 42 square feet of space per man.

If five more men are put into this dormitory, how much less space will each man have?

5 square feet

6 square feet

7 square feet

8 square feet

9 square feet

6. Rob has six songs on his portable music player.

How many different four-song orderings can Rob create?

120

360

720

7. The statement “Raphael runs every Sunday” is always true.

Which of the following statements is also true?

If Raphael does not run, then it is not Sunday.

If Raphael runs, then it is Sunday.

If it is not Sunday, then Raphael does not run.

If it is Sunday, then Raphael does not run.

If it is Sunday, it is impossible to determine if Raphael runs.

8. In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.

What is the length of line AB?

9. The expression

is equivalent to:

5/7

x + 5

(x + 5) / (x + 7)

C5 / (2x C 7)

(2x C 15) / (4x C 21)

10. The point (2, 1) is the midpoint of a line with endpoints at (C5, 3) and:

(C3, 4)

(C7, 2)

(7, 1)

(9, C1)

(C10, 3)

Page 2 of 8

11. Lindsay grows only roses and tulips in her garden. The ratio of roses to tulips in her garden is 5:6.

If there are 24 2 total flowers in her garden, how many of them are tulips?

110

121

132

12. It takes eight people 12 hours to clean an office.

How long would it take six people to clean the office?

9 hours

15 hours

16 hours

18 hours

24 hours

13. Greg has nine paintings. The Hickory Museum has enough space to display three of them.

From how many different sets of three paintings does Greg have to choose?

168

504

14. If the surface area of a cube is 384 cm2, what is the volume of the cube?

64 cm3

256 cm3

51 2 cm3

115 2 cm3

4096 cm3

15. In the diagram above, what is the sum of the measures of the

and

180º

360

540º

720º

Cannot be determined.

16. Given the following figure with one tangent and one secant drawn to the circle, what is the measure of

110

17. Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon.

If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time?

$200

$300

$500

$600

$800

18. If

anda and c are doubled, what happens to the value of d ?

The value of d remains the same.

The value of d is doubled.

The value of d is four times greater.

The value of d is halved.

The value of d is four times smaller.

19. In the diagram above, line OA is congruent to line OB.

What is the measure of arc CD?

27.5º

55º

70º

110º

125º

20. The expression

is equivalent to:

Page 3 of 8

21. What is the next number in the series below?

3 16 6 12 12 8

22. The volume of a glass of water placed in the sun decreases by 20%.

If there are 240 ml of water in the glass now, what was the original volume of water in the glass?

19 2 ml

260 ml

288 ml

300 ml

360 ml

23. What is the tenth term of the pattern below?

2/3, 4/9, 8/27, 16/81 …

20/30

210/3

2/310

(2/3)2/3

(2/3)10

24. How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?

The area is tripled.

The area is six times larger.

The area is nine times larger.

The area remains the same.

The area cannot be determined.

25. The equation

is undefined when x =:

26. In the diagram above,

is

congruent to

, and

is

congruent to

If the ratio of the length of AB to the length of EB is 5:1, and the area of triangle BED = 5 a 2 + 10, what is area of triangle ABC?

5a 2 + 10

25a 2 + 50

25a 2 + 100

125a 2 + 250

Cannot be determined.

27. The number p is greater than 0, a multiple of 6, and a factor of 180.

How many possibilities are there for the value of p?

28. If g > 0 and h < 0, which of the following is always positive?

g × h

g + h

g C h

|h| C |g|

29. FILL BLANK

The length of a room is three more than twice the width of the room. The perimeter of the room is 66 feet.

What is the length of the room?

30. FILL BLANK

In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.

Page 4 of 8

31. FILL BLANK

If 6x + 9y C 15 = C6, what is the value of C2x C 3y + 5?

32. FILL BLANK

Find the measure of

33. FILL BLANK

If the distance from point (C2, m) to point (4, C1) is 10 units, what is the positive value of m?

34. FILL BLANK

If

, then a = 3 when z = ___.

35. FILL BLANK

The length of a rectangular prism is four times the height of the prism and one-third the width of the prism. If the volume of the prism is 384 in3, what is the width of the prism?

36. FILL BLANK

If 2a 2 + b = 10 and C (b/4 + 3a) = 11, what is the positive value of a?

37. FILL BLANK

Stephanie buys almonds at the grocery store for $1.00 per pound. If she buys 4 pounds of almonds and pays a 5% tax on her purchase, what is Stephanie’s total bill?

38. FILL BLANK

The ratio of the number of linear units in the circumference of a circle to the number of square units in the area of that circle is 2:5.

What is the radius of the circle?

39. Which of the following number pairs is in the ratio 4:5?

1/4, 1/5

1/5, 1/4

1/5, 4/5

4/5, 5/4

1, 4/5

40. When x= C3, the expression C2x 2 + 3x C 7 =:

C34

C27

C16

C10

Page 5 of 8

41. What is the slope of the line C3y = 12x C 3?

42. In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

25 cm2

39 cm2

64 cm2

78 cm2

89 cm2

43. If 0.34 < x < 0.40 and 5/16 < x < 9/20, which of the following could be x?

1/3

2/5

3/8

3/7

4/9

44. A store prices a coat at $85. During a sale, the coat is sold at 20% off. After the sale, the store raises the price of the coat 10% over its sale price.

What is the price of the coat now?

$18.70

$61.20

$68.00

$74.80

$93.50

45. The expression 4x 2 C 2x + 3 is equal to 3 when x = 0 and when x =

C1/2

C1/4

1/8

1/4

1/2

46. A spinner is divided into eight equal regions, labeled one through eight.

If Jenna spins the wheel, what is the probability that she will spin a number that is less than four and greater than two?

1/8

9/32

3/8

1/2

3/4

47. The length of an edge of a cube is equal to half the height of a cylinder that has a volume of 160π cubic units.

If the radius of the cylinder is 4 units, what is the surface area of the cube?

64 square units

96 square units

100 square units

125 square units

150 square units

48. The function m#n is equal to m 2 C n.

Which of the following is equivalent to m#(n#m)?

n 2 C m

m2+ m C n 2

(m 2 C n) 2 C n

(n 2 C m) 2 C m

49. Which of the following has the greatest value when x = C1/4?

x C1

C3/8x

4x + 3

16x

1/81x

50. In the diagram above, lines M and N are parallel.

All of the following are true EXCEPT:

a + b = j + l.

g = h.

c + f = f + b.

g + e + f + h = 360.

d + e = f + j.

Page 6 of 8

51. Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds.

If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?

5.3 seconds

5.4 seconds

5.5 seconds

5.6 seconds

6.3 seconds

52. If

and

___.

x/y + 1.

x/y + x.

x/y + y.

2xy

y2 + x.

53. The scatterplot above shows the speeds of different runners over time.

Which of the following could be the equation of the line of best fit?

S = C2 × (t C 15)

S = Ct + 25

S = C1/2 × (t C 10)

S = C1/2 × (t C 20)

S = 2 × (t + 15)

54. The radius of the outer circle shown above is 1.2 times greater than the radius of the inner circle.

What is the area of the shaded region?

6π m2

9π m2

25π m2

30π m2

36π m2

55. If m = 6, then the expression

is equal

to:

C12.

C2.

12.

22.

56. Which of the following is the midpoint of a line with endpoints at (C2, C8) and (8, 0)?

(3, 4)

(3, C4)

(C5, 4)

(5, C4)

(6, C8)

57. If 4x + 5 = 15, then 10x + 5 =:

2.5.

15.

22.5.

25.

30.

58. A music store offers customized guitars. A buyer has four choices for the neck of the guitar, two choices for the body of the guitar, and six choices for the color of the guitar.

The music store offers:

1 2 different guitars.

16 different guitars.

24 different guitars.

36 different guitars.

48 different guitars.

59. Which of the following is the set of positive factors of 1 2 that are NOT multiples of 2?

{ }

{1}

{1, 3}

{1, 2, 3}

{2, 4, 6, 12}

60. The graph of f(x) is shown above.

How many values can be found for f(3)?

Cannot be determined.

Page 7 of 8

61. The expression

can be reduced to:

x + 5.

62. Which of the following is the vertex of the parabola which is the graph of the equation y = (x + 1)2 + 2?

(C1, C2)

(1, C2)

(C1, 2)

(1, 2)

(2, C1)

63.

is equivalent to:

64. If the statement “No penguins live at the North Pole” is true, which of the following statements must also be true?

All penguins live at the South Pole.

If Flipper is not a penguin, then he lives at the North Pole.

If Flipper is not a penguin, then he does not live at the North Pole.

If Flipper does not live at the North Pole, then he is a penguin.

If Flipper lives at the North Pole, then he is not a penguin.

65. If p < 0, q > 0, and r > p, then which of the following must be true?

p + r > 0

rp < rq

pr < rq

r + q > q

p + r < r + q

66. The pie chart above shows the distribution of video rentals from Al’s Video Vault for a single night.

If 250 videos were rented that night, how many more action movies were rented than horror movies?

67. If the circumference of the circle in the diagram above is 20π units, what is the area of triangle ABC?

40 square units

80 square units

80π square units

160 square units

160π square units

68. The area of an isosceles right triangle is 18 cm2.What is the length of the hypotenuse of the triangle?

6 cm

69. If

anda = 4 and b = 8, which of the following could be true?

x < a

x > b

a < x < b

4 < x < 8

None of the above

70. The length of a rectangle is one greater than three times its width. If the perimeter of the rectangle is 26 feet, what is the area of the rectangle?

13 ft 2

24 ft 2

30 ft 2

78 ft 2

100 ft 2

Page 8 of 8

71. Based on the diagram above, which of the following is true?