AnswersDCSS Algebra B-CR 24-25Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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

A
–18
B
–16
C
22
D
24
2
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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.
3

What is the vertex of the function f(x) = x2 + 12x?

A
(–6, –36)
B
(–6, 0)
C
(6, 0)
D
(6, –36)
4

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
5

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
6

A recipe calls for cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons of broth should she use?

Question illustration
A
teaspoons
Option A
B
12 teaspoons
C
19 teaspoons
D
teaspoons
Option D
7

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.
8

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

Question illustration
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.
9

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
10

The endpoints of are A(13.8, 7) and B(6.4, 10). Find the coordinates of the midpoint.

Question illustration
A
(7.4, –3)
B
(3.7, –1.5)
C
(10.4, 8.2)
D
(10.1, 8.5)
11

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

A
108
B
216
C
324
D
648
12

The radius and circumference of several objects were measured.

Question illustration
A
It is a weak positive correlation, and it is not likely causal.
B
It is a weak positive correlation, and it is likely causal.
C
It is a strong positive correlation, and it is not likely causal.
D
It is a strong positive correlation, and it is likely causal.
13

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
14

The formula for the area of a rectangle is A = lw.

Question illustration
A
50 square units
B
51 square units
C
52 square units
D
53 square units
15

Point Q lies on the circle and has an x-coordinate of 4.

Question illustration
A
2
Option A
B
4
Option B
C
2
Option C
D
8
Option D
16

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.Quadratic formula: x =

Question illustration
A
–5.7
B
–4
C
–1
D
–0.7
17

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.

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.
18

The coordinates of midpoint M and endpoint C of a segment are M(25.4, 60.1) and C(18.3, 72.5). Find the coordinates of the other endpoint.

A
(11.2, 84.9)
B
(21.85, 66.3)
C
(32.5, 47.7)
D
(37.8, 53)
19

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2
20

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.

A
215
B
311
C
354
D
430

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