Algebra mid exam – 20 questions


Simplify the trigonometric expression. Show your work.




2. In nar003-1.jpg, nar003-2.jpgis a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth. Show your work.

a = 3, c = 19



3. Please show your work to find the mean and standard deviation of the data. Round to the nearest tenth.

20, 16, 18, 14, 9, 20, 16

4. What are the points of discontinuity? Are they all removable? Please show your work.


5. A sound wave is modeled with the equation .

a. Find the period. Explain your method.

b. Find the amplitude. Explain your method.

c. What is the equation of the midline? What does it represent?

6. Paula spots a glider located at an angle of elevation of 42°. The distance between the glider and Paula is 3280 feet. To the nearest foot, what is the height of the glider h from the ground? Show your work.

7. What is the product in simplest form? State any restrictions on the variable. Please show your work.


sa010-1.jpg 8. 

9.  Is there any bias in the survey question? Explain.

What do think would help students pay more attention in class?

10.  Find the values of the 30th and 90th percentiles of the data. Please show your work. 

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

11. What is the quotient in simplified form? State any restrictions on the variable. Show Work.

12. Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 36 feet long. The function models the height of the triangular garden.

a. What is the height of the triangle when

b. What is the height of the triangle when

c. Vance is considering using either or for his garden. Compare the areas of the two possible gardens. Explain how you found the areas.

13. Verify the identity.

14.  Compare the graphs of the inverse variations. Please provide at least 3 comparisons



15.  Use a graphing calculator to solve the equation sa017-1.jpgin the interval from sa009-3.jpg. Round to the nearest hundredth.

sa018-1.jpg16. The equation models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretched and then released.

  1. Solve the      equation for t.

 b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth.

 c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time. Round your answers to the nearest hundredth.


Consider the graph of the cosine function shown below.

a. Find the period and amplitude of the cosine function.

b. At what values of for do the maximum value(s), minimum values(s), and zeros occur?


Use the graph of the sine function sa020-1.jpg shown below.

a. How many cycles occur in the graph?
b. Find the period of the graph.
c. Find the amplitude of the graph.

19. Verify the Pythagorean Identity. 


Howard is flying a kite and wants to find its angle of elevation. The string on the kite is 32 meters long and the kite is level with the top of a building that he knows is 28 meters high.

To the nearest tenth of a degree, find the angle of elevation. Show your work.

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more