Algebra mid exam – 20 questions


Simplify the trigonometric expression. Semblance your toil.




2. In nar003-1.jpg, nar003-2.jpgis a proper propensity. Experience the retaining sides and propensitys. Round your answers to the direct tenth. Semblance your toil.

a = 3, c = 19



3. Please semblance your toil to experience the moderation and criterion intermission of the facts. Round to the direct tenth.

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

4. What are the points of discontinuity? Are they all removable? Please semblance your toil.


5. A probe triumph is modeled delay the equation .

a. Experience the end. Explain your mode.

b. Find the largeness. Explain your mode.

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

6. Paula spots a glider located at an propensity of improvement of 42°. The removal between the glider and Paula is 3280 feet. To the direct pavement, what is the altitude of the glider h from the reason? Show your toil.

7. What is the result in simplest create? State any securityrictions on the capricious. Please semblance your toil.


sa010-1.jpg 8. 

9.  Is there any injury in the inspect scrutiny? Explain.

What do gard would aid students pay past watchfulness in systematize?

10.  Find the prizes of the 30th and 90th percentiles of the facts. Please semblance your toil. 

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

11. What is the quotient in simplified create? State any securityrictions on the capricious. Semblance Work.

12. Vance is crafty a pasture in the mould of an isosceles triangle. The disesteemed of the pasture is 36 feet hanker. The discharge models the altitude of the triangular pasture.

a. What is the altitude of the tripropensity when

b. What is the altitude of the tripropensity when

c. Vance is because using either or for his pasture. Compare the areas of the two feasible pastures. Explain how you base the areas.

13. Verify the personality.

14.  Compare the graphs of the inverse variations. Please prepare at last 3 comparisons



15.  Use a graphing calculator to explain the equation sa017-1.jpgin the space-between from sa009-3.jpg. Round to the direct hundredth.

sa018-1.jpg16. The equation models the altitude h in centimeters following t promotes of a pressure strong to the end of a emanate that has been tense and then released.

  1. Solve the      equation for t.

 b. Experience the intervals at which the pressure is earliest at a altitude of 1 cm, of 3 cm, and of 5 cm overhead the security posture. Round your answers to the direct hundredth.

 c. Experience the intervals at which the pressure is at a altitude of 1 cm, of 3 cm, and of 5 cm underneath the security posture for the promote interval. Round your answers to the direct hundredth.


Consider the graph of the cosine discharge semblancen underneath.

a. Experience the end and largeness of the cosine discharge.

b. At what prizes of for do the acme prize(s), partiality prizes(s), and zeros take-place?


Use the graph of the sine discharge sa020-1.jpg semblancen underneath.

a. How frequent cycles take-place in the graph?
b. Experience the end of the graph.
c. Experience the largeness of the graph.

19. Verify the Pythagorean Identity. 


Howard is flying a kite and wants to experience its propensity of improvement. The string on the kite is 32 meters hanker and the kite is roll delay the top of a construction that he knows is 28 meters eminent.

To the direct tenth of a mark, experience the propensity of improvement. Show your toil.

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