Math 2 Final Exam

Name: _________________________

Directions for during and after the exam:

1. Look back over your answers for the test questions.

2. Make sure all your answers are entered on the answer sheet. Only what is entered on your answer sheet will be scored.

3. Put all of your papers inside your test book and close the test book.

4. Place your calculator on top of the test book.

5. Stay quietly in your seat until your teacher tells you that testing is finished.

6. Remember, teachers are not allowed to discuss items from the test with you, and you are not allowed to discuss with others any of the test questions or information contained within the test.

I hereby acknowledge that I will not release any

information on the content contained within this

assessment. I also acknowledge that I will not release any

relevant testing material through social media, or any

other electronic database, as it is strictly forbidden.

Signature: ______________________________________

Part 1- Answer all questions to the best of

your ability.

1. The dimensions of a rectangle are given in the diagram below

If 𝒙 = √𝟕 , what is the perimeter of the rectangle?

3

𝑨. 𝟑 + 𝟕√𝟕

𝑩. 𝟏𝟎√𝟕

𝑪. 𝟔 + 𝟏𝟒√𝟕

𝑫. 𝟔 − 𝟏𝟒√𝟕

2. Which of these could be the area of a perfect square?

𝑨. 𝒙𝟐 − 𝟗𝒙 + 𝟔

𝑩. 𝒙𝟐 − 𝟔𝒙 + 𝟗

𝑪. 𝒙𝟐 − 𝟓𝒙 + 𝟔

𝑫. 𝒙𝟐 − 𝟔𝒙 + 𝟓

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3. The area of a rectangular field is represented by (𝟐𝒌𝟐 + 𝟐𝟕𝒌 + 𝟕𝟎) feet,

and the width of the field is represented by (𝒌 + 𝟏𝟎) feet. Which expression

represents the length, in feet, of the rectangular field?

𝑨. 𝒌 + 𝟔𝟎

𝑩. 𝟐𝒌 + 𝟕

𝑪. 𝟐𝒌 + 𝟕𝟎

𝑫. 𝟐𝒌𝟐 + 𝟐𝟔𝒌 + 𝟔𝟎

4. In the figure below, if 𝒔𝒊𝒏𝒙 =𝟓

𝟏𝟑 , what are 𝒄𝒐𝒔 𝒙 and 𝒕𝒂𝒏 𝒙 ?

𝑨. 𝒄𝒐𝒔 𝒙 =𝟏𝟐

𝟏𝟑 𝒂𝒏𝒅 𝒕𝒂𝒏 𝒙 =

𝟓

𝟏𝟐

𝑩. 𝒄𝒐𝒔 𝒙 =𝟏𝟐

𝟏𝟑 𝒂𝒏𝒅 𝒕𝒂𝒏 𝒙 =

𝟏𝟐

𝟓

𝑪. 𝒄𝒐𝒔 𝒙 =𝟏𝟑

𝟏𝟐 𝒂𝒏𝒅 𝒕𝒂𝒏 𝒙 =

𝟓

𝟏𝟐

𝑫. 𝒄𝒐𝒔 𝒙 =𝟏𝟑

𝟏𝟐 𝒂𝒏𝒅 𝒕𝒂𝒏 𝒙 =

𝟏𝟑

𝟓

5. The figure below shows a house with an attic, represented by ∆𝑨𝑩𝑪 with

AC = BC. The distance from A to B is 42 feet. The slope (commonly referred to

as the pitch) of the roof is 𝟐

𝟑.

What is the height, h, of the attic?

A. 14 feet B. 28 feet C. 32 feet D. 63 feet

6. Lightning struck a dead tree, causing it to fall over at a point 10 ft up from its

base.

If the fallen treetopforms a 𝟒𝟎° angle with the ground, about how tall

was the tree originally?

A. 13 ft B. 16 ft C. 23 ft D. 26 ft

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7. Beth chooses from the following to decorate a room.

• 4 choices of paint (blue, green, pink, and white)

• 2 choices of borders (flowers, or cats)

• 3 sets of curtains (white, pink, or blue)

Beth will randomly choose 1 paint color, 1 border, and 1 set of curtains.

What is the probability that Beth will pick blue paint, a flower border,

and white curtains?

A. 𝟏

𝟐𝟒 B.

𝟏

𝟗 C.

𝟏

𝟒 D.

𝟏

𝟐

8. In a simulation designed to represent families with two children, two coins

are tossed to model the gender of each child. The results of 50 trials are

shown in the table below.

Based on the results in the table, what is the probability that a family with

two children have at least one boy?

A. 0.30 B. 0.44 C. 0.58 D. 0.74

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9. The frequency table below shows the age distribution of people at a park.

What is the probability a randomly selected person at the park is a

female, given that the person is under 40 years old?

A. 𝟔𝟎

𝟏𝟔𝟕 B.

𝟏𝟓

𝟑𝟐 C.

𝟏

𝟐 D.

𝟔𝟎

𝟖𝟏

10. Line 𝒍 is parallel to line 𝒎. Line 𝒕 is a transversal with angle measures as

indicated below.

Note: The figure is not drawn to scale.

What is the value of 𝒙?

A. 16 B. 20 C. 25 D. 32

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11. Carter is solving this equation by factoring.

𝟏𝟎𝒙𝟐 − 𝟐𝟓𝒙 + 𝟏𝟓 = 𝟎

Which expression could be one of his correct factors?

A. x + 3 B. x – 3 C. 2x + 3 D. 2x – 3

12. Joanne and Christopher are designing a quilt. They start by creating a

triangle shape in the lower left quadrant as shown below.

They transform it by rotating the triangle shown above 90° clockwise about the

origin. What does the new design look like?

13. Triangle PQR is shown below.

What are the coordinates of P’ when ∆PQR is dilated by a scale factor of 3 using

the origin as the center?

𝑨. (𝟔 , 𝟏𝟖)

𝑩. (𝟑 ,𝟐

𝟑)

𝑪. ( 𝟐

𝟑, 𝟑)

𝑫. (𝟏𝟖 , 𝟔)

14. Given: k ǁ m ǁ n

Which statement justifies the conclusion that < 𝟏 ≅ < 𝟐 ≅ < 𝟑?

A. If k ǁ m ǁ n and are cut by a transversal t, then alternate interior angles are

congruent.

B. If k ǁ m ǁ n and are cut by a transversal t, then vertical angles are congruent.

C. If k ǁ m ǁ n and are cut by a transversal t, then alternate exterior angles are

congruent.

D. If k ǁ m ǁ n and are cut by a transversal t, then corresponding angles are

congruent.

15. What is the range of 𝒈(𝒙) = |𝒙 − 𝟑| + 𝟏 ?

A. 𝟏 < 𝒚 < ∞ B. 𝟏 ≤ 𝒚 < ∞

C. −∞ < 𝒚 < 𝟏 D. −∞ < 𝒚 < ∞

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16. Simplify. Assume variables represent nonnegative numbers.

√𝟔

√𝟓𝟒

A. 𝟑√𝟔 B. 𝟔 C. √𝟔

𝟑 D.

𝟏

𝟑

17. A larger totem pole in the state of Washington is 100 feet tall. At a particular

time of day, the totem pole casts a 249-foot-long shadow. Find the measure of

<A to the nearest degree.

A. 68° B. 45° C. 35° D. 22°

18. What value would you provide into the blanks below to correctly complete

the square?

𝒙𝟐 − 𝟓𝒙 + _____ = _____

A. 𝟓

𝟐 B. −

𝟓

𝟐 C.

𝟐𝟓

𝟐 D.

𝟐𝟓

𝟒

The end of day 1 !!!!