Identify the degree and leading coefficient of the polynomial P(x) = $$4x^5 - 3x^3 + 7x - 2$$ .

Degree: 5, Leading coefficient: 4

Degree: 3, Leading coefficient: -3

Degree: 4, Leading coefficient: 7

Degree: 1, Leading coefficient: -2

A school club is selling tickets for an event. Student tickets cost 5, and adult ticket cost 10. They must sell at least 200 tickets and generate at least $1500 in revenue. Write the constraints.

x + y ≥ 200, 5x + 10y ≥ 1500

x + y ≤ 200, 5x + 10y ≥ 1500

x + y ≥ 200, 5x + 10y ≤ 1500

x + y ≤ 200, 5x + 10y ≤ 1500

A savings account starts with $2,000 and earns 3% interest annually. Write an exponential model and determine the balance after 8 years.

Exponential model: A = $$2000(1.03)^t$$ ; Balance after 8 years: A = $$2000(1.03)^8$$ ≈ $2531.60

Exponential model: A = $$\"2000(1.30)^t\"$$ ; Balance after 8 years: A = $$\"2000(1.30)^8\"$$ ≈ $12018.60

Exponential model: A = $$2000(1.03)^t$$ ; Balance after 8 years: A = $$2000(1.03)^8$$ ≈ $2200.00

Exponential model: A = $$2000(1.003)^t$$ ; Balance after 8 years: A = $$2000(1.003)^8$$ ≈ $2048.40

A teacher recorded the test scores of 8 students: 72, 85, 90, 88, 95, 78, 85, 91. Find the mean, median, and mode of the data.

Mean = 85.5, Median = 86.5, Mode = 85

Mean = 84, Median = 85, Mode = 90

Mean = 86, Median = 88, Mode = 91

Mean = 83.5, Median = 85.5, Mode = 78

A company tracks the weekly sales (in thousands) of two departments: Department A: 16, 12, 14, 10, 18, 20 Department B: 19, 21, 15, 8, 12, 25. Find the mean sales for Department A and Department B.

Mean for Department A = 15, Mean for Department B = 16.67

Mean for Department A = 16, Mean for Department B = 15.5

Mean for Department A = 14, Mean for Department B = 18

Mean for Department A = 17, Mean for Department B = 14.5

A company tracks the weekly sales (in thousands) of two departments: Department A: 16, 12, 14, 10, 18, 20 Department B: 19, 21, 15, 8, 12, 25. Find the median sales for Department A and Department B.

Median for Department A = 15, Median for Department B = 17

Median for Department A = 14, Median for Department B = 19

Median for Department A = 16, Median for Department B = 15

Median for Department A = 13, Median for Department B = 18

A company tracks the weekly sales (in thousands) of two departments: Department A: 16, 12, 14, 10, 18, 20 Department B: 19, 21, 15, 8, 12, 25. Find the mode for Department A and Department B.

No mode for either department (all values are unique)

Mode for Department A is 16 and for Department B is 19

Mode for Department A is 12 and for Department B is 12

Mode for Department A is 20 and for Department B is 25

A company tracks the weekly sales (in thousands) of two departments: Department A: 16, 12, 14, 10, 18, 20 Department B: 19, 21, 15, 8, 12, 25 Compute the inter-quartile range (IQR) for Department A and Department B.

IQR for Department A = 6, IQR for Department B = 9

IQR for Department A = 8, IQR for Department B = 7

IQR for Department A = 5, IQR for Department B = 10

IQR for Department A = 7, IQR for Department B = 8

A company tracks the weekly sales (in thousands) of two departments: Department A: 16, 12, 14, 10, 18, 20 Department B: 19, 21, 15, 8, 12, 25 Calculate the standard deviation for Department A and Department B.

Standard deviation for Department A ≈ 3.42, for Department B ≈ 5.36

Standard deviation for Department A ≈ 4.10, for Department B ≈ 2.85

Standard deviation for Department A ≈ 2.50, for Department B ≈ 6.00

Standard deviation for Department A ≈ 5.00, for Department B ≈ 3.00

Determine whether the sequence 2, 6, 18, 54, 162 is geometric. If so, find the common ratio.

Yes, it is geometric. The common ratio is 3.

Yes, it is geometric. The common ratio is 2.

Yes, it is geometric. The common ratio is 6.

A clock’s minute hand is 15 cm long. How far does the tip move from 12:00 to 12:15?

The tip moves (π/2) × 15 = 7.5π cm.

The tip moves (π/4) × 15 = 3.75π cm.

The tip moves (π) × 15 = 15π cm.

The tip moves (2π) × 15 = 30π cm.

A bike tire rolls through 3π/2 radians and has a radius of 0.35 m. Find the distance it traveled.

The distance is (3π/2) × 0.35 = 0.525π meters.

The distance is (3π/2) × 0.35 = 1.05π meters.

The distance is (3π/2) × 0.35 = 0.35π meters.

The distance is (3π/2) × 0.35 = 2.1π meters.

ALGEBRA II FINAL EXAMINATION MAY 2025 - Part I

Authored by Jenith Arocha

Mathematics

12th Grade

CCSS covered

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ALGEBRA II FINAL EXAMINATION MAY 2025 - Part I

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FILL IN THE BLANK QUESTION

1 min • 1 pt

A ______________ is an association or pairing of some kind between two sets of quantities or information.

FILL IN THE BLANK QUESTION

1 min • 1 pt

A ______________ is a relation where one element from the first set is associated with more than one element in the second set.

Tags

CCSS.8.F.A.1

FILL IN THE BLANK QUESTION

1 min • 1 pt

A ______________ relation is a relation where each element in the first set is paired with a unique element in the second set.

Tags

CCSS.8.F.A.3

FILL IN THE BLANK QUESTION

1 min • 1 pt

A ______________ is a relation where the elements in the first set are paired with one element in the second set.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

FILL IN THE BLANK QUESTION

1 min • 1 pt

5. ______________ is the set of all first elements in a relation.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

FILL IN THE BLANK QUESTION

1 min • 1 pt

6. ______________ is the set of all the second elements in a relation.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

FILL IN THE BLANK QUESTION

1 min • 1 pt

A ______________ is a well defined relation where no two ordered pairs have the same first element.

Tags

CCSS.8.F.A.1

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ALGEBRA II FINAL EXAMINATION MAY 2025 - Part I

A ______________ is an association or pairing of some kind between two sets of quantities or information.

A ______________ is a relation where one element from the first set is associated with more than one element in the second set.

A ______________ relation is a relation where each element in the first set is paired with a unique element in the second set.

A ______________ is a relation where the elements in the first set are paired with one element in the second set.

5. ______________ is the set of all first elements in a relation.

6. ______________ is the set of all the second elements in a relation.

A ______________ is a well defined relation where no two ordered pairs have the same first element.

A set of ordered pairs represents a _______________ if no two ordered pairs have the same first elements or component.

The ______________ of a function is the set of all points on the coordinate plane corresponding to the ordered pairs in the function. If the domain and range of the function is the set of real numbers, the points are connected hence producing a continuous graph.

The ______________ shows whether a graph represents a function or not.

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