Cumulative Exam — Cumulative exam Answers

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The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm.

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A
[0, 5)
B
[1, 5)
C
[0, 20)
D
[1, 20)
2
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Mr. Walker is looking at the fundraiser totals for the last five years.

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A
The median is $1.60 greater than the mean.
B
The mean is $1.60 greater than the median.
C
The median is $2.82 greater than the mean.
D
The mean is $2.82 greater than the median.
3

The ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39 cm, what is the radius of the small circle?

A
19.5 cm
B
26 cm
C
58.5 cm
D
117 cm
4

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options.

A
m∠A = 64° and AB = MQ = 31 cm
B
CB = MQ = 29 cm
C
m∠Q = 56° and CB ≅ RQ
D
m∠R = 60° and AB ≅ MQ
E
AB = QR = 31 cm
5

The data in the table represent the height of an object over time.

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A
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
B
quadratic, because the height increases and then decreases
C
exponential, because the height of the object increases or decreases with a multiplicative rate of change
D
exponential, because the height increases and then decreases
6

The graph of which function has a minimum located at (4, –3)?

A
f(x) = x2 + 4x – 11
Option A
B
f(x) = –2x2 + 16x – 35
C
f(x) = x2 – 4x + 5
Option C
D
f(x) = 2x2 – 16x + 35
7

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

A
2.45
B
3.16
C
5.48
D
7.07
8

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).

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A
units
Option A
B
12 units
C
units
Option C
D
20 units
9

Which is precisely defined using the undefined terms point and plane?

A
circle
B
line segment
C
perpendicular lines
D
ray
10

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Which relationships could have a negative correlation? Select three options.

A
number of hours worked and free time
B
speed of a car and minimum stopping distance
C
the speed of a train and the length of time to reach the destination
D
adult’s head circumference and age
E
a tadpole’s age and the length of it’s tail
12

Which construction requires both endpoints of the diameter and the points where the arcs intersect the circle to be connected, in order, by line segments?

A
an equilateral triangle inscribed in a circle
B
a square inscribed in a circle
C
a similar circle inscribed in a circle
D
a regular hexagon inscribed in a circle
13

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.

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A
–6.72
B
–0.58
C
0.58
D
6.72
14

The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television.Madigan converts the frequency table to a conditional relative frequency table by row.Television Viewing MethodWhich value should she use for X? Round to the nearest hundredth.

Question illustration
A
0.09
B
0.20
C
0.25
D
0.30
15

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N has points (0, negative 1), (2, negative 4), and (negative 2, negative 3).

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A
The area of △RST is 2 square units less than the area of △LMN.
B
The area of △RST is equal to the area of △LMN.
C
The area of △RST is 2 square units greater than the area of △LMN.
D
The area of △RST is 4 square units greater than the area of △LMN.
16

What is true about △ABC? Select three options

A
AB ⊥ AC
B
The triangle is a right triangle.
C
The triangle is an isosceles triangle.
D
The triangle is an equilateral triangle.
E
BC ∥ AC
17

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).

Question illustration
A
(x, y) → (x + 7, y + 6)
B
(x, y) → (x + 7, y – 6)
C
(x, y) → (x – 6, y + 7)
D
(x, y) → (x + 6, y + 7)
18

Which number is missing in the table of values below?xy01162363?41,296

A
108
B
216
C
324
D
648
19

The histogram shows the weights, in pounds, of checked luggage on a flight.

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A
The mean is most likely less than 27 pounds.
B
The mean is most likely exactly 27.5 pounds.
C
The mean is most likely about 28 pounds.
D
The mean is most likely more than 28 pounds.
20

The proof that ΔABC ≅ ΔCDA is shown.Given: ∥ and ∥ Prove: ΔABC ≅ ΔCDA

Question illustration
A
perpendicular bisector theorem
B
Pythagorean theorem
C
HL theorem
D
SSS congruence theorem

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