AnswersNY-Algebra I Term 2 HillcrestUnit Test

Unit Test — Cumulative exam Answers

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21
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The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent.

Question illustration
A
18%
B
22%
C
35%
D
82%
22
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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).
23

Which is the completely factored form of 12x4 + 39x3 + 9x2?

A
3x2(x – 3)(4x – 1)
B
3x2(x + 3)(4x + 1)
C
3x(x + 3)(4x + 1)
D
3x(x – 3)(4x + 1)
24

Which graph shows a rate of change of between –4 and 0 on the x-axis?

Question illustration
A
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (6, 0) and the y-axis at (0, 3). Solid circles appear on the line at (negative 4, negative 1), (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 5.25, 4), has a vertex of (0, negative 3), and goes through (5.25, 4). Solid circles appear on the parabola at (negative 4, 1), (0, negative 3).
Option B
C
On a coordinate plane, a parabola opens down. It goes through (negative 5.5, negative 4), has a vertex of (0, 4), and goes through (5.5, negative 4). Solid circles appear on the parabola at (negative 4, 0), (0, 4).
Option C
D
On a coordinate plane, a curved line opens up and left in quadrant 2. It is asymptotic to the negative x-axis and positive y-axis. Solid circles appear on the line at (negative 4, 0.25), (0, 4).
Option D
25

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.
26

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show an upward trend.

Question illustration
A
–0.872
B
–0.191
C
0.191
D
0.872
27

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.

A
(–5, –80)
B
(5, 0)
C
(5, 0) and (–5, –80)
D
no solutions
28

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
29

Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

A
x(x + 7) = 13
B
x(x + 7) = 169
C
x2 + (x + 7)2 = 13
D
x2 + (x + 7)2 = 169
30

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
31

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)
32

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
33

Shenika factored the polynomial completely. What is the value of A?5x3+35x2+6x+42(5x2+A)(x+B)

A
1
B
5
C
6
D
7
34

A party planner is going to use an arch of balloons for a parade of recent graduates. The estimated curve the balloons will create is modeled by the function given in the table, where x represents the distance in feet along the ground from the start and f(x) represents the height in feet above the ground.

Question illustration
A
no, because the width of the arch is 8 feet
B
yes, because the width of the arch is 9.6 feet
C
no, because the maximum height of the arch is 8 feet
D
yes, because the maximum height of the arch is 9.6 feet
35

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

Question illustration
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
36

The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.

A
0 = –4.9t2 + 19.6t + 24.5
B
0 = –4.9t2 + 24.5t + 19.6
C
19.6 = –4.9t2 + 24.5t
D
24.5 = –4.9t2 + 19.6t
37

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
38

The monomial 36x4 is a perfect square. What is the square root of 36x4?

A
6x2
B
6x4
C
18x2
D
18x4
39

Which polynomial is prime?

A
x4 + 3x2 – x2 – 3
B
x4 – 3x2 – x2 + 3
C
3x2 + x – 6x – 2
D
3x2 + x – 6x + 3
40

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)

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