Download 1) Heather is going to graph y = -3x6 + 3. How is the parent graph

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 f ( x)  x 2  3x  7 , 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)
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: y  2 x 2  3 .
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
C) 5 minutes to 15 minutes
11) Find the product of 3c and (4c - 5).
A) 7c - 8
B) 7c - 15
C) 12c2 - 15c
B) 5 minutes to 10 minutes
D) 15 minutes to 25 minutes
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: 3x(2 x 2  10 x  1) .
A) 5x3 - 30x2 + 3x
B) 6x3 - 30x2 + 3x
C) 6x2 - 30x2 + 3x
D) 6x3 + 30x2 + 3x
14) Perform the indicated operation: (3x  4) 2 .
A) 9x2 – 16
B) 6x2 – 7x – 8
C) 6x – 8
D) 9x2 – 24x + 16
C) 4 x 2 2 x
D) 4 x 3 x
15) Multiply and simplify: ( 8 x 2 )( 2 x 5 ) .
A) 2 x 3 2 x
B) 2 x 2 x
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:
A) x = -9
22) Solve the rational equation:
A) x = -6
B) x = -3
x  5 3x

 4.
x 1 x 1
C) x = -3/2
D) x = 3
x
5

 1.
x 1 x 1
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: x 2  x  12  0 .
A) x = 4
25) Solve
B) x = -3
C) x = -3 or x = 4
D) x = -4 or x = 3
x 2  4  4x .
A) no solution
B)
4
15
C) -
4
15
D) ±
4
15
26) Jeff used the equation 16  (3 f  1) 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 T  (3m  10) 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 25  (125  x) ?
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: ( x  4)  (4  x)
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) 10
C) 4
D) 10
32) Determine the distance from point A to line j.
A) 2 units B) 3 units
C) 2 units
D) 3 units
 x  x2 y1  y 2 
33) If M   1
,
 , what is the midpoint of
2 
 2
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 D  ( x1  x 2 ) 2  ( y1  y 2 ) 2 , 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) 2 5
B) 4 3
C) 5
D) 61
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?
8!
8!
5!
3!
A) 8P3 =
B) 8P3 =
C) 3P8 =
D) 3P8 =
5!
3!
8!
8!
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.