AnswersNJ-Algebra I CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which polynomial is prime?

A
x3 + 3x2 + 2x + 6
B
x3 + 3x2 – 2x – 6
C
10x2 – 4x + 3x + 6
D
10x2 – 10x + 6x – 6
22
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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
23

What is the product?

Question illustration
A
24 a squared minus 6 b
Option A
B
24 a squared minus 6 a b
Option B
C
24 a squared minus 18 b squared
Option C
D
24 a squared minus 18 a b
Option D
24

Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to represent the population growth of each type of insect, where y represents the population and x represents the number of weeks since Sabrina began her research. Ant Colony Growth: Bee Hive Growth: Which insect population is growing at a faster rate?

Question illustration
A
The ant colony is growing at a faster rate. It will multiply by 3.8 each week while the bee hive will add 3.8 each week.
B
The bee hive is growing at a faster rate. It will multiply by 3.8 each week while the ant colony will add 3.8 each week.
C
The ant colony is growing at a faster rate. It will add 3.8 each week while the bee hive will subtract 3.8 each week.
D
The bee hive is growing at a faster rate. It will add 3.8 each week while the ant colony will divide by 3.8 each week.
25

Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?

A
x = –9.25
B
x = –5.5
C
x = 0.5
D
x = 3.25
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

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

Question illustration
A
1.5
B
2.25
C
3.0
D
4.5
28

The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics.Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics?

Question illustration
A
0.22
B
0.25
C
0.70
D
0.88
29

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
30

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

A
(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
Option A
B
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
Option B
C
{–12, 2}
D
{–2, 12}
31

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

A
108
B
216
C
324
D
648
32

What is the discriminant of the quadratic equation 2x + 5x2 = 1?

A
–18
B
–16
C
22
D
24
33

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

A
f(x) = 85(1 – 0.25)x
B
f(x) = 85(1 + 0.25)x
C
f(x) = 85(0.25)x
D
f(x) = (85 – 0.25)x
34

Which sample fairly represents the population? Select two options.using a yearbook to determine the most popular names for girls in the United Statesasking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercisescalling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral racesending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfactiontaking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City

A
using a yearbook to determine the most popular names for girls in the United States
B
asking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercises
C
calling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral race
D
sending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfaction
E
taking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City
35

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

A
ab(7a2 + 10ab + 14b2)
B
a2b(7 + 10b + 14b2)
C
7a2(b + 3b2 + 7b3)
D
7a2b3(b2 + 3b + 7)
36

What is f(x) = 7x2 + 42x written in vertex form?

A
f(x) = 7(x + 6)2 – 6
B
f(x) = 7(x + 6)2 – 42
C
f(x) = 7(x + 3)2 – 9
D
f(x) = 7(x + 3)2 – 63
37

The two-way table represents data from a survey asking teachers whether they teach English, math, or both. Which is the joint relative frequency for teachers who teach math and not English? Round the answer to the nearest percent.

Question illustration
A
8%
B
21%
C
33%
D
38%
38

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.
39

64, –48, 36, –27, ...

A
f(x + 1) = f(x)
Option A
B
f(x + 1) = f(x)
Option B
C
f(x) = f(x + 1)
Option C
D
f(x) = f(x + 1)
Option D
40

What is the axis of symmetry of h(x) = –2x2 + 12x – 3?

A
x = –15
B
x = –3
C
x = 3
D
x = 15

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