Pre Algebra Final Exam 1

Topics: Pythagorean theorem, Triangle, Hypotenuse Pages: 11 (1202 words) Published: May 17, 2015
Score: ______ / ______
Name: ______________________________
Student Number: ______________________

1. Elsie is making a quilt using quilt blocks like the one in the diagram.

 
a. How many lines of symmetry are there? Type your answer below.

There are 4 line of symmetry.

b. Does the quilt square have rotational symmetry? If so, what is the angle of rotation? Type your answers below.

The quilt square have rotational symmetry of 90.

2. Solve by simulating the problem.
 
You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences.

45/512

3. Use the diagram below to answer the following questions. Type your answers below each question.  
a. Name three points.
C, D, F

b. Name four different segments.

CD,DF, FG,DG

c. Write two other names for.

FD,DG

d. Name three different rays.

FD,DF,DG

4. Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground. Draw a sketch of this situation (you do not need to submit the sketch).  

Find the ground distance from Charlie to the plane. Type your answer below. Explain your work.

tan(x) = opposite over adjacent tan(32) = (1,700 - 5.2) / x tan(32) = 1,694.8 x = 1,694.8/ (tan(32)) x = 2712.25 feet

    

__C___ 5. Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd? Type your answer in the blank to the left.

A.

B.

C.

D.

6. Identify the number as rational or irrational. Explain. Type your answers below.

-

127 is identify as irrational number. Irrational; it is the square root of a number that is not a perfect square. And it doesn’t repeats or have an indefinite amount of number.

7. Jeremy is building a large deck for a community center. The deck is shaped as a rectangle. The width of the deck is 29 feet. The perimeter of the deck is to be at least 134 feet.  
a. Write an inequality that represents all possible values for the length of the deck.  

29+29+L+L=134

b. Find all possible values for the length of the deck.

2(x+29)>134

8. Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.

a.    Write an equation that can be used to find the number of swimming lessons that she paid for.     237+15p=402

b.    How many swimming lessons did she pay for?    
11 lessons

c.    At the time she had $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237? 12 lessons

9. Is a triangle with sides of length 6 ft., 21 ft., 23 ft. a right triangle? Explain.

No it’s not a right triangle. Right angled triangle obey Pythagoras theorem. Pythagorean theorem: a^2=b^2=c^2 where a, and b, are legs and c is the hypotenuse.

a = 6ft
b = 21 ft.
6^2 + 21^2 = 23^2?
36 + 441 = 23*2?
477 = 23^2?
477 = 529 =xxx

10. Identify the number as rational or irrational. Explain
 
291.87

It’s irrational it doesn’t go on and on or have long repeating patterns.

11. Is the sequence 5, 9, 15, an arithmetic sequence? Explain. Type your answer below.

It is not arithmetic because there is no common difference.

12. Suppose a computer virus begins by infecting 8 computers in the first hour after it is released. Each hour after that, each newly infected computer causes 8 more computers to become infected. The function y = 8x models this situation. Make a table with...
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