Ms. Talley - Home



[pic] | | |1) Heather is going to graph y = -3x6 + 3. How is the parent graph transformed?

  A) The parent graph is reflected over the x-axis, has a vertical stretch by a factor of 3 and is shifted up 3 units.

  B) The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 3 and is shifted up 3 units.

  C) The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 3 and is shifted left 3 units.

  D) The parent graph is reflected over the x-axis, has a vertical compression by a factor of 3 and is shifted up 3 units.

2) Determine the domain of the graphed exponential function.

  A) (-∞, ∞)   B) (-∞, 5]   C) (-∞, 5)   D) (-5, ∞)

3) For the function [pic], what is the range of the function when the domain is {-3, 2, 5}?

  A) {-7, 33}   B) {3, 11, 21}   C) {-7, 3, 33}   D) {-7, 11, 33}

4) The rental costs for a car are shown in the graph. Estimate the rental cost for 6 days.

   A) $150   B) $180

   C) $200   D) $210

5) [pic]

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The data for a 9 year period is given in the table. The equation of the line of best fit for this data is y = 47.3 + 0.78x. How many bushels of wheat per acre can be predicted if it is expected that there will be 17 inches of rain?

   A) 5.96   B) 52.06   C) 60.56   D) 65.34

6) The graph of the function y = x2 is shown. How will the graph change if the equation is changed to y = 2x2?

  A) The parabola will become wider.

  B) The parabola will become narrower.

  C) The parabola will move up 1/4 unit.

  D) The parabola will move down 1/4 unit.

7) Determine the range of the function: [pic]. A) all real numbers

   B) all integers greater than or equal to 3

   C) all real numbers less than or equal to 3

   D) all real numbers greater than or equal to 3

8)Brody is paying back his father for an interest-free car loan. Brody owes his father $6000 dollars. The chart shows the cumulative total he has paid his father at the end of each month. After what month will his loan be paid in full?

  A) December   B) February   C) January   D) March

9) Brandon can read two books in three days. Brandon needs to model this relationship on a graph. The x-axis will represent the numbers of books read and the y-axis will represent the number of days. Which graph will Brandon use?

  A)    B)    C)    D)

10) Which time period represents a constant rate of change?

  A) 0 minutes to 10 minutes   B) 5 minutes to 10 minutes

  C) 5 minutes to 15 minutes   D) 15 minutes to 25 minutes

11) Find the product of 3c and (4c - 5).

  A) 7c - 8   B) 7c - 15   C) 12c2 - 15c   D) 12c2 - 8c

12) If h(x) = 3x3 + 12x2 - 10, and j(x) = 5x3 - 4x2 - x + 5 then h(x) - j(x) =

  A) -2x3 + 16x2 + x – 15   B) -2x3 - 8x2 + x + 15

  C) 8x3 - 8x2 - x + 15   D) 8x3 + 16x2 - x - 15

13) Find the product: [pic].

  A) 5x3 - 30x2 + 3x   B) 6x3 - 30x2 + 3x   C) 6x2 - 30x2 + 3x   D) 6x3 + 30x2 + 3x

14) Perform the indicated operation: [pic].

  A) 9x2 – 16   B) 6x2 – 7x – 8   C) 6x – 8   D) 9x2 – 24x + 16

15) Multiply and simplify: [pic].

  A) [pic]   B) [pic]   C) [pic]   D) [pic]

16) A doctor is using a method of treatment that is thought to be 94% successful. Out of 1000 patients, how many do you expect him to be unsuccessful in treating..

  A) 60    B) 940   C) 94    D) 6

17) (3x3 - 2x2 + 4) - (2x2 + 14) =

  A) 3x3 - 10   B) 3x3 - 2x2 + 18   C) 3x3 - 4x2 - 10   D) 5x5 - 2x2 + 14

18) A group of circular bottle caps have been arranged in rows and columns with an equal number of caps in each row and column. There are 25 bottle caps in the shape. How many bottle caps are in one row?

  A) 5   B) 6   C) 7   D) 8

19) A doctor is using a method of treatment that is thought to be 94% successful. What is the probability that there are no failures in 15 treatments (round to the nearest hundredth)?

  A) 0.38   B) 0.40   C) 0.42   D) 1

20) Which expression represents the volume of the triangular prism shown?

  A) 3x + 16   B) 4x3 + 16   C) 2x3 + 32x2 + 120x   D) x3 + 16x2 + 60x

21) Solve the rational equation: [pic].

   A) x = -9   B) x = -3   C) x = -3/2    D) x = 3

22) Solve the rational equation: [pic].

  A) x = -6   B) x = - 3/2   C) x = - 2/3   D) x = 3/2

23) Where does the graph of x2 - x - 2 = y cross the x-axis?

  A) (2, 0) and (-1, 0)   B) (0, 2) and (0, -1)   C) (-2, 0) and (-1, 0)   D) (0, -2) and (0, -1)

24) Solve the equation: [pic].

  A) x = 4   B) x = -3   C) x = -3 or x = 4   D) x = -4 or x = 3

25) Solve [pic].

  A) no solution   B) [pic]   C) - [pic]   D) ± [pic]

26) Jeff used the equation [pic]to calculate how many flowers (f) were growing in his yard. How many flowers did Jeff have growing in his yard?

  A) 4   B) 5   C) 84   D) 85

27) Beth uses the equation [pic]to calculate the time (T) in minutes it takes her pet mouse to run through a maze that is m meters long. How long will it take Beth’s mouse to run though a maze that is 2 meters long?

  A) 1 minute   B) 2 minutes   C) 3 minutes   D) 4 minutes

28) What is the value of x, when [pic]?

  A) x = 5   B) x = 11   C) x = 25   D) x = 100

29) What is the value of x, when x2 + 5 = 21?

  A) 4 or -4   B) 5.5 or -5.5   C) 8 or -8   D) 15.5 or -15.5

30) Solve for x:[pic]

  A) x = 0   B) x = 1   C) x = 2   D) x = 4

31) Find the distance between (4, 2) and (-4, -4).

  A) 2   B) [pic]   C) 4   D) 10

32) Determine the distance from point A to line j.

  A) [pic]units  B) [pic]units

  C) 2 units  D) 3 units

33) If [pic], what is the midpoint of segment JK shown in the graph?

  A) (-2, 2)   B) (2, -2)

  C) ( ½, -½ )   D) (- ½ , ½ )

34) What is the midpoint of the line segment with endpoints (-2, 6) and (8, -3)?

  A) (5, 4.5)   B) (5, 1.5)   C) (3, 4.5)   D) (3, 1.5)

35) Estimate the midpoint of the points: (6.1, 3.9) and (4.2, 8.1).

  A) (5, 6)   B) (5, 5.5)   C) (5.5, 6)   D) (5.5, 5.5)

36) Rectangle EFGH has the coordinates E (-3, -1), F (-3, 3), and G (-1, 3). Find the coordinates of point H. .

  

A) (-1, 0)   B) (-1, 1)   C) (1, -1)   D) (-1, -1)

37) If [pic], what is the length of line segment AB?

  A) 6 units   B) 8 units   C) 10 units   D) 14 units

38) What is the distance between points E and F?

  A) [pic]    B) [pic]    C) [pic]   D) [pic]

39) Rectangle ABCD has the coordinates A (2, 1), B (1, 3), and C (5, 5). Find the coordinates of D..

  A) (5,3)   B) (6,2)   C) (6,3)   D) (7,3)

40) On the coordinate grid of a map. Jeff's house is located at (9,5) and Hannah's house is at (-5,-5). Kenya's house is located at the midpoint between Jeff and Hannah's houses. What are the coordinates for Kenya's house?

  A) (0,-2)   B) (0,0)   C) (2,0)   D) (7,0)

|If Macy gets an A in Geometry, she will join the math team. |

|If Macy joins the math team, she will go to a competition in New York. |

|If Macy goes to a competition on New York, she will go to a Broadway play. |

41) Based on the given statements, which statement is NOT valid?

  

A) If Macy joins the math team, she will go to a Broadway play.

B) If Macy gets an A in Geometry she will go to a Broadway play.

C) If Macy goes to a competition in New York, she will fly on a plane.

D) If Macy gets an A in Geometry she will go to a competition in New York.

42) Provide a counterexample for the conjecture: The expression –a is not positive.

  A) a = 10   B) a = 7   C) a = 1   D) a = -10

43) State the contrapositive of the conditional statement: If a polygon has exactly 4 sides, it is a quadrilateral.

  A) If a polygon is a quadrilateral, it has exactly 4 sides.

  B) If a polygon is a quadrilateral, it does not have exactly 4 sides.

  C) If a polygon is not a quadrilateral, it does not have exactly 4 sides.

  D) If a polygon does not have exactly 4 sides, it is not a quadrilateral.

44) State the inverse of the statement: If an angle has a measure of 90°, it is a right angle.

  A) If an angle is a right angle, then it has a measure of 90°.

  B) If an angle does not have a measure of 90°, it is a right angle.

  C) If an angle is not a right angle, it does not have a measure of 90°.

  D) If an angle does not have a measure of 90°, it is not a right angle.

|5x + 7 < 3x + 3 (given) |

|2x + 7 < 3 (subtraction) |

|2x < -4 (subtraction) |

|x < -2 ( ? ) |

45) Fill in the missing reason for the argument shown.

  A) addition   B) division   C) given   D) subtraction

|46) Jimmy, who lives 20 miles away from work, had to go on a week long work trip. The first day he drove for 5 hours and covered a total of 350 miles. The third|

|day he drove for 8 hours and covered a total of 550 miles. The fifth day he drove for 6 hours and covered a total of 360 miles and the sixth day he drove a |

|total of 10 hours and covered 700 miles. The company wants to know what his average speed was for the work trip. |

Which piece of information is not needed to solve the problem?

  A) Jimmy lives 20 miles away from work.

  B) Jimmy drove 350 miles in 5 hours the first day.

  C) Jimmy drove 550 miles in 8 hours the third day.

  D) The distance and amount of time for each leg of the trip.

47) The base of a triangle is 3 cm and the height is 5 cm. What mathematical operation(s) described must be performed in order to find the area of this triangle?

  A) multiply 3 and 5

  B) add 3 and 5, then divide the sum by 2

  C) multiply 3 and 5, then divide the product by 2

  D) use the Pythagorean theorem to find the missing sides of the triangle and then add the three sides together

48) Write the converse of the conditional statement and determine whether it is true or false: If two lines are perpendicular, then they intersect.

  A) If two lines intersect, then they are perpendicular. TRUE

  B) If two lines intersect, then they are perpendicular. FALSE

  C) If two lines do not intersect, then they are not perpendicular. TRUE

  D) If two lines do not intersect, then they are not perpendicular. FALSE

49) State the converse of the conditional statement. Then state whether it is true or false: If a quadrilateral is a square, it is also a rhombus. A) If a quadrilateral is a rhombus, it is also a square. True

B) If a quadrilateral is a rhombus, it is also a square. False

  C) If a quadrilateral is not a square, it is not a rhombus. True

   D) If a quadrilateral is not a square, it is not a rhombus. False

|Conditional Statement: If two lines are parallel, then they do not intersect. |

|Converse: If two lines do not intersect, then they are parallel. |

|Inverse: If two lines are not parallel, then they intersect. |

|Contrapositive: If two lines intersect, then they are not parallel. |

50) Which statements are true?

  A) Converse and Inverse

  B) Inverse and Contrapositive

  C) Conditional Statement and Converse

  D) Conditional Statement and Contrapositive

51) Find the value of y in the tessellation shown.

  A) 45°   B) 90°   C) 135°   D) 180°

52) By which reason can it be proven that triangles DAB and DAC are congruent?

  A) AAA   B) AAS   C) SSA   D) SSS

53) The diagonals of a ________________ are ALWAYS perpendicular.

  A) parallelogram   B) quadrilateral

  C) rectangle   D) rhombus

54) Which of the choices shown could be used to prove that ΔACP≅ΔBCP ?

  A) AAA   B) CPCTC   C) SAS   D) SSA

55) Determine the shortest side in ΔDEF.

  A) EF

  B) DE

  C) FE

  D) DF

56) Which expression represents the area of the rectangle shown in the diagram?

  A) pr   B) 2p + 2r   C) pr2   D) p2r2

57) Given: The pentagons in the diagram are regular. Find the value of x.

  A) 108   B) 120   C) 144   D) 175

58) Which of the statements about the two triangles is correct?

  A) The triangles are congruent by AAA.

  B) These triangles are congruent by AAS.

  C) These triangles are congruent by SSS.

  D) These triangles are congruent by SSA.

59) The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each angle.

   A) 23°, 41°, and 56°   B) 33°, 61°, and 86° C) 63°, 121°, and 176°   D) 93°, 181°, and 266°

60) Find the sum of the measures of the interior angles in the figure shown.

  A) 360 degrees   B) 540 degrees   C) 900 degrees   D) 1260 degrees

|61) A plant manufactures a stuffed bear at three different factories. The first factory manufactures the bear 55% of the time, the second factory 80% of the |

|time and the third factory 67% of the time. If Jill bought three bears what is the probability that she got one from each factory? Mary is trying to solve the |

|bear probability problem. She created the tree diagram. What goes in the missing blank? |

|A) 0.23 B) 0.30 C) 0.33 D) 0.50 |

| |

|62) Laura goes to a Mexican restaurant for lunch. She is planning to order either a chicken or beef dish. If there are 8 choices for chicken and 12 choices for |

|beef, how many options does Laura have to choose from? |

|  A) 4  B) 12  C) 20  D) 96 |

63) Hillgrove High School plays 3 soccer games. The team loses 2 of those games. According to the tree diagram, how many ways could this happen?

  A) 1   B) 2   C) 3   D) 4

64) Caroline flips a coin 3 times. According to the tree diagram, how many possible outcomes exist?

 A) 2  B) 4  C) 6  D) 8

65) A family of 4 goes to a restaurant and sits at a rectangular table with 4 chairs. How many different seating arrangements are possible for this family?

  A) 4  B) 12  C) 16  D) 24

66) Traci is getting a new hairstyle. Her options are:

Length: short, long, medium

Texture: curly, straight

Color: Black, Brown, Blonde, Red

How many different hairstyles can Traci make from the choices shown?

  A) 10  B) 12  C) 16  D) 24

67) Twenty-five students are competing in a Science Fair. In how many ways can 3 students win first, second, and third place?

  A) 2.6 · 1024   B) 3.9 · 1025   C) 13,800   D) 19,656

68) You have 7 people seated at a round table. How many different possible seating arrangements are possible for them?

   A) 49 seating arangements   B) 720 seating arrangements   C) 128 seating arrangements   D) 5040 seating arrangements

69) The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?

  A) 7   B) 8   C) 9   D) 10

70) Which correctly models selecting a permutation without repetition of 8 objects taken 3 at a time?

  A) 8P3 = [pic]   B) 8P3 = [pic]   C) 3P8 = [pic]   D) 3P8 = [pic]

71) You are rolling a die and you have rolled for the last 10 times an even number. What is the probability that your next roll will be an odd number?

  A) 1/2   B) 1/4   C) 1/6   D) 2/6

72) A bag contains 4 red marbles and 6 blue marbles. Brandon selects one marble from the bag. Without replacing the marble he then selects a second marble. What is the probability that he first selects a blue marble and then selects a red marble?

  A) 2/5   B) 3/5   C) 4/15   D) 6/25

73) There are 12 marbles in a bag, and the marbles are either yellow or green. Two marbles will be randomly picked from the bag, without replacing the first one picked. The probability that both marbles will be yellow is 5/33. How many YELLOW marbles are in the bag?

  A) 4   B) 5   C) 6   D) 7

74) In a dice game if you roll a 2, 4, or 6 you get the value of the die. If you roll as 1, 3, or 5 you lose $5. What is the expected value of the game?

  A) -$1.00   B) -$0.50   C) $0.50   D) $1.00

75) Michael has a drawer with 8 pairs of black socks and 12 pairs of white socks. Without looking he takes a white pair of socks out of the drawer. What is the probability that the next pair he takes out is white?

  A) 8/20   B) 8/19   C) 11/20   D) 11/19

76) Kara is playing a game where she flips a coin 3 times. She wins and loses different amounts of money based on the outcomes. What is the expected value for the game?

  A) $0   B) $2.43   C) $3.29   D) $4.14

77) Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is the theoretical probability that he will draw a red card on his 11th draw.

  A) 1/4   B) 1/2   C) 2/3   D) 4/5

78) Hank spins the spinner shown in the diagram 30 times. His results are as follows: Yellow: 4, Blue: 7, Red: 5, Green: 6, Orange: 3, Purple: 5. What is the theoretical probability of landing on yellow?  A) 1/8   B) 2/15   C) 1/6   D) 1/3

79) Jamie wants to find out how many students at her school go to the movies at least twice a week. She interviews 175 students and records their gender and a yes if they go more than twice a week and no if they go less than twice a week. She displays the results in the table. What is the probability that a person who does not go to the movies at least twice a week is female (round to the thousandth)?  A) 0.160   B) 0.295   C) 0.384   D) 0.960

80) There are 10 marbles in a bag, and the marbles are either red or blue. Eric will randomly choose two marbles from the bag, without replacing the first one. If the probability of both marbles' being red is 2/15, how many RED marbles are in the bag?  A) 2   B) 3   C) 4   D) 5

81) Mrs. Cox and Mr. Jones are in charge of the work-study program for Oak High School. Each teacher is in charge of supervising 10 students. They are comparing statistics for the two groups of students based on the hours worked per week. Which statement is true?

  A) The mean for Mrs. Cox is greater than the mean for Mr. Jones.

  B) The median for Mr. Jones is greater than the median for Mrs. Cox.

  C) The median for Mrs. Cox is greater than the median for Mr. Jones.

  D) Interquartile Range for Mrs.Cox is greater than the IQR Range for Mr. Jones.

82) Michael is taking a survey of students at his high school to find out how many hours they work per week. He surveys all of the students in his Freshman English class. Is this a good sampling method?

  A) Yes, by surveying all of the students in the class he is getting a large enough sample for it to be representative of the school.

  B) No, he should have surveyed students in his PE class since all grades are represented in that class.

  C) No, he should have taken a random sample of all students at the school to get a good sample of the entire population of the school.

  D) No, he should have surveyed students attending the high school football game.

83) A scientist recorded the average number of three types of ants she saw at four locations. At which location is someone MOST LIKELY to see a Red Ant before they see any other type of ant?

  A) Location # 1   B) Location # 2   C) Location # 3   D) Location # 4

84)The summary statistics for all of the workers at a steel factory are shown. Four sample groups were taken from each of the four shifts. For which sample group is the mean deviation closest to that of the population?

  A) Shift 1  B) Shift 2  C) Shift 3  D) Shift 4

85) A politician wants to see what people in her district think about tax cuts. Which procedure would be a good way of conducting a survey?

  A) Invite the public to a meeting held on a Wednesday at 10:00 AM.

  B) Conduct a clipboard survey of people entering and leaving a mall.

  C) Send out an email to randomly selected households in her district.

  D) Mail a questionnaire to randomly selected households in her district.

86) The summary statistics for household incomes of all of the houses on Church street are shown. Four sample groups were taken from houses on the street. Which sample group has a median closest to that of the sample population?

 A) Group 1  B) Group 2  

C) Group 3  D) Group 4

87) Forty-five people were asked about how many miles they walked in one week. The results are shown in the graph. How does the median number of miles walked for boys compare with the median number of miles walked for girls?

  A) The median for the boys is 1 mile less than the girls

  B) The median for the boys is 1 mile more than the girls.

  C) The median for the boys is 1.4 miles more than the girls.

  D) The median for the boys is 1.4 miles less than the girls.

88) Which set of data has the GREATEST variability?

  A) 12, 25, 35, 75, 95   B) 12, 12, 12, 50, 50

  C) 12, 15, 17, 18, 100   D) 30, 32, 37, 40, 41

89) The owners of a waterpark are taking a survey to determine how many trips to the park kids in the area take during the summer. They take a survey of kids entering the park on a Monday. Is this a good sampling method?

  A) Yes, by surveying kids at the entrance this will ensure that they get a large number of responses.

  B) No, they should have surveyed kids on Friday and Saturday when more people come to the park.

  C) No, many area kids may not come to the water park, they need a random sample of area kids.

  D) No, they should have surveyed kids at the local high school.

90) For which set of data is the mean the BEST measure of central tendency?

  A) 10, 15, 17, 17, 12   B) 10, 20, 80, 40, 190

  C) 10, 12, 40, 150, 100   D) 60, 50, 12, 11, 10

91) The SAT scores for 4 groups of 10 students are shown. Which group has the smallest mean absolute deviation?

 A) Group 1  B) Group 2  C) Group 3  D) Group 4

92) Seven students in a small class all made the same score on a test, as shown in the table. What was the mean absolute deviation for the class?

   A) 0  B) 80  C) 560  D) undefined

93) Seven students in a small class all made the same score on a test, as shown in the table with James at the top. What was the mean absolute deviation for the class?

  A) 0  B) m  C) 8m  D) undefined

94) Five students in a small class made the test scores shown in the table. Tom at the top. What was the mean absolute deviation for the class?

  A) 10.96  B) 35.44  C) 52.87  D) 79.80

95) Find the absolute mean deviation for the set {x, 2x, 3x, 4x}.

  A) 0   B) x   C) 2x   D) 3x

96) Eight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?

  A) m   B) 2.5m   C) 4m   D) 8m

97) The table shows the distances, in trillions of miles, of four stars from the earth. Find the mean absolute deviation of the distances.

  A) 1.9   B) 5.0   C) 6.0   D) 7.6

98) Six students all took the same test. Their scores were 88, 87, 91, 70, 72, and 99. What is the mean absolute deviation for the test scores?

  A) 8   B) 9   C) 84.5   D) 87.5

99) Six students all took the same test. Their scores were 70, 71, 75, 75, 88, 89. What is the mean absolute deviation for the test scores?

  A) 7   B) 7.5   C) 75   D) 78

100) Julie thinks that the average score for a sophomore on their final exam in Geometry is actually lower than that of the population (the population mean is 84 with a standard deviation of 7 points). She recorded the mean scores and standard deviations of sophomores final exam scores in Geometry at 30 different schools in the chart. Which statement is correct about the data?

  A) The data is normally distributed.

  B) The sample means have variation from one sample mean to another.

  C) There is more variablity in the standard deviation of the samples than that of the population.

  D) Because the mean of the data is lower than that of the population, Julie's hypothesis is correct.

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