QUIZ 13—PROBLEMS #1- 14 ARE ONLY PRACTICE FOR FUTURE TESTS, TEST 4 OR THE FINAL EXAM, —Do not hand in #1 – 14.  PLEASE HAND IN PROBLEMS STARTING AT #15 TO THE END .

5.7

1.   A number is 6 less than its square. Translate.

2.  Solve the equation for x in  the previous problem.

6.1

3.  Factor and simplify.

4.    Simplify.   

5.    Simplify.   

6.2

6.    Simplify. 

 

7.   Simplify.

6.3

8.   Find the LCM of  3x⁴   and    9x²  

6.4

9.    Add . 

10.  Add .    

 6.5

11.  Simplify.          

12.  Simplify.

13.  Simplify.

Sec. 6.6

14.   Solve.           

HAND IN THE BELOW PROBLEMS:

15.  Solve . 

SEC. 6.7

16.  Skilled construction employee  Sonya takes 8 hr to construct a wall of a certain size. It takes Claudia  only 6 hrs to construct the same wall. How long would it take if they worked together assuming both are highly skilled though with different paces,  need no special instructions and make  an excellent, efficient team building crew?

17. (a) THE PICTURE REPRESENTS AN INCLINED RAMP FOR A HIGH SCHOOL. FROM THE DIMENSIONS GIVEN,   SCHOOL CONSTRUCTION  WORKERS WANT TO CALCULATE  THE MAXIMUM RAMP HEIGHT “H”.  

FIND THE MISSING INDICATED LENGTH “H” BELOW FOR THE TWO SIMILAR TRIANGLES SUGGESTED IN THE DIAGRAM OF THE RAMP WITH INTERMEDIATE HEIGHT 1.5 FT WHEN  HORIZONTAL  DISTANCE IS 18 FT:  WORKERS WANT TO FIND VERTICAL “H” WHEN  HORIZONTAL  SHIFT IS 32 FT.

 

(b) FOLLOW UP FOR EXTRA CREDIT:  FIND THE HYPOTENUSE OF THE RAMP—OR DISTANCE ALONG THE RAMP FROM THE BOTTOM TO THE TOP--- USING PYTHAGOREAN’S THEOREM. SEE PROBLEMS BELOW FROM SECTION 8.6, WHICH FEATURE QUESTIONS YOU SHOULD BE ABLE TO DO WITHOUT ANY FURTHER COMMENTS FROM ME BECAUSE OF EARLIER SECTIONS ON RIGHT TRIANGLES WE COVERED IN CLASS.

Sec. 8.1

18.   FIND BOTH  SQUARE ROOTS of 36.  

19.   FIND BOTH  SQUARE ROOTS of  100.   

20.  SIMPLIFY this positive square root.     

21.   SIMPLIFY this negative square root.    

22.   SIMPLIFY. Assume all variables represent non-negative numbers.

(a)   _(b)     (c)

23.   SIMPLIFY.    

SECTION 8.6:  WE  FEATURE QUESTIONS YOU SHOULD BE ABLE TO DO WITHOUT ANY FURTHER COMMENTS FROM ME BECAUSE OF EARLIER SECTIONS ON RIGHT TRIANGLES WE COVERED IN CLASS.

24.  Let c be the hypotenuse (longest side) of a right triangle and a and b be the  other two sides. What is the Pythagorean Theorem? Write the letter of the correct choice below.
(a)
 
(b)

25.  Find side C:

SECTION 9.1

For this section solve for x below. Note there are TWO solutions for each equation below, one  positive and the other negative.

26. x² = 16.   

27. x² = 25. 

28. x² = 13.   

29. 4x² = 100.

30. 7x² = 21.

31.  (a) (x – 2)² = 36   (b) (x + 6)² = 81 (c) (x - 3)² = 7. BE CAREFUL ON PART (c). IT IS NOT NECESSARY TO  EVALUATE THE SQUARE ROOT OF 7; just add 3 to both sides after you take the square root of both sides as we did in the last lecture (12-4-13)---you will not be able to combine the 3 and the  square roots of 7.

SECTION 9.3

32. Let a, b and c be the three coefficients  of a general quadratic equation:   . What is the  Quadratic Formula? Write the letter of the correct choice  below.

(a)

 

_(b)

 _{x = a}² _{+ b}² _{+ c}²

33. SOLVE EQUATION BELOW USING THE QUADRATIC FORMULA  YOU CHOSE ABOVE. Note:
Full credit only  given if the correct formula is used. We reviewed this: see pages 5 and 6 of this link—

http://www.nvaphysics.com/SessionGrades/MATH65AU13_NOTES/12_02_13.pdf

_x²  _{+  3x   - 40 = 0 .}