AnswersConcepts in Probability and Statistics ABox Plots

Box Plots — Cumulative exam Answers

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1
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What is the coefficient of x after simplifying (−x−5)2?

A
−25
B
−10
C
10
D
25
2
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A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model?

A
x2 – 6x + 9
B
x2 – 2x + 4
C
x2 + 5x + 10
D
x2 + 4x + 16
3

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

Question illustration
A
The axis of symmetry should be x = –1.
B
The axis of symmetry should be x = 2.
C
The vertex should be a maximum.
D
The vertex should be (–2, 1).
4

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

A
–3x2 – 18x – 27
B
–3x2 – 15x – 30
C
–3x2 + 3x + 6
D
–3x2 + 3x – 30
5

Which is the solution of the quadratic equation (4y – 3)2 = 72?

A
y = and y =
Option A
B
y = and y =
Option B
C
y = and y =
Option C
D
y = and y =
Option D
6

A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units.

A
x2 − 2x − 120 = 0
B
x2 + 2x − 120 = 0
C
x2 − 2x + 120 = 0
D
x2 + 2x + 120 = 0
7

The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

A
–19
B
–9
C
1
D
10
8

The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table. Which represents the solution(s) of this system of equations?

Question illustration
A
(–3, –1)
B
(–3, 5)
C
(–3, 5) and (–1, 9)
D
(1, 13) and (3, 20)
9

Which relationships could have a negative correlation? Select three options.number of hours worked and free timespeed of a car and minimum stopping distancethe speed of a train and the length of time to reach the destinationadult’s head circumference and agea tadpole’s age and the length of it’s tail

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
10

Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?

A
{–11, –1}
B
{–11, 1}
C
{11, –1}
D
{11, 1}
11

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.Ava’s graph is a vertical translation of f(x) = x2.Victor’s graph is a vertical translation of f(x) = x2.Ava’s graph moved 4 units from f(x) = x2 in a positive direction.Victor’s graph moved 4 units from f(x) = x2 in a positive direction.Ava’s graph has a y-intercept of 4.

A
Ava’s graph is a vertical translation of f(x) = x2.
B
Victor’s graph is a vertical translation of f(x) = x2.
C
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
D
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
E
Ava’s graph has a y-intercept of 4.
12

The diagram represents the polynomial 4x2 + 23x – 72.

Question illustration
A
(4x + 8)(x – 9)
B
(4x – 8)(x + 9)
C
(4x + 9)(x – 8)
D
(4x – 9)(x + 8)
13

Which polynomial is prime?

A
x3 + 3x2 + 2x + 6
B
x3 + 3x2 – 2x – 6
C
10x2 – 4x + 3x + 6
D
10x2 – 10x + 6x – 6
14

Mr. Walker is looking at the fundraiser totals for the last five years.

Question illustration
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.
15

What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

A
–x3 + 6x2 + 9
B
–x3 + 2x2 – 9
C
5x3 – 2x2 – 2x – 9
D
5x3 – 2x2 + 2x + 9
16

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

Question illustration
A
f(x) = (x –1)2 – 7
B
f(x) = (x +1)2 – 7
C
f(x) = (x –1)2 – 5
D
f(x) = (x +1)2 – 5
17

Which table shows no correlation?

A
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.
Option A
B
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.
Option B
C
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.
Option C
D
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.
Option D
18

The box plot compares Marta’s and Ani’s diving scores in the first several meets of the season.Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season?

Question illustration
A
Ani was more successful because she had an outlier.
B
Marta was more successful because she received the highest score.
C
Ani was more successful because she had the greater measure of center.
D
Marta was more successful because she had the greater total spread.
19

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

A
x3 + 3x − 1
B
x3 + 4x − 1
C
x3 + 3x2 + 3x − 1
D
x3 + 2x2 − x + 1
20

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

A
n2 + n – 210 = 0
B
n2 + n – 105 = 0
C
2n2 + 2n + 210 = 0
D
2n2 + 2n + 105 = 0

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