MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C9C8AB.8C146740" This document is a Web archive file. If you are seeing this message, this means your browser or editor doesn't support Web archive files. For more information on the Web archive format, go to http://officeupdate.microsoft.com/office/webarchive.htm ------=_NextPart_01C9C8AB.8C146740 Content-Location: file:///C:/213799D4/sample-4.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Test 4 Math 115 F/95 (6

Sample Test 4 Math 123b 

1.  The price P of a pizza varies dire= ctly to the square of the diameter D.  An 6” pizza cost $9.  Find = the specific equation between P and D.  Find the price of a pizza with 9” diameter. Ans: $20.25

2.  Solve for x :   2x2 – 5 =3D= 0,  Find the exact and approx. answers= . Ans: x =3D √5/2 ≈ 1.58

3.  Given the following right triangle= , find the length of the missing sides. Give the exact answer and the decimal answ= er with three significant digits.

a.        =             &nb= sp;            =             &nb= sp;            =        b.

Ans: x =3D 9        =             &nb= sp;            =             &nb= sp;  Ans: x =3D √185 ≈ 13.6

4.  Find the distance from the point (= 5, –2) to (–3, 3)   Ans: x =3D √89 ≈ 9.43

5. Simplify  without usi= ng the calculator Ans: x =3D 7/15        =             &nb= sp;            =             &nb= sp; 

6. Find the decimal answer  with four significant digits with a calculator. Ans: 0.413

7. Simplify .  Give the = exact answer and the decimal answer with four significant digits. Ans: x =3D 3= 730;2 ≈ 4.24

8. Simplify .  Ans: 14x&= #8730;y

9. Simplify and combine terms when possible.

      a.<= span style=3D'letter-spacing:-.15pt;mso-fareast-language:ZH-CN'>  Ans: 13√3 + 8√2         =  b.  Ans: –11x√2 / 2        =             &nb= sp;       

10 Multiply

      a. =    Ans: 324√3

      b.  Multiply and simplify =  Ans: 18 = 211; 15√2        =             &nb= sp;        

      c. = Multiply and simplify  Ans: 38 = 211; 22√2        =             &nb= sp;        

Rationalize the denominator.

11. a.   Ans:<= span style=3D'mso-spacerun:yes'>          =             &nb= sp;            =      b.    Ans:  –2√5 – 5        =       c.   Ans:<= span style=3D'mso-spacerun:yes'>          =             &nb= sp;            =             &nb= sp;          =

12.=   Solve for x:

       a.      Ans: x=3D 6=   (x=3D 1 is no good)

       b. <= /span>     Ans: x =3D = 1

13. Convert the fractional exponent<= span style=3D'mso-spacerun:yes'>  into radical expression and simplify the result. Ans: = 211; 4

14. Convert the fractional exponent<= span style=3D'mso-spacerun:yes'>  into radical expression and simplify the result.  Ans: ½ + 1/27 =3D 29/54 

15. Simplify:  =   Ans: x1/4

 

16. Graph the following functions:

a. f(x) =3D -x2 + 3        =             &nb= sp;            b.  f(x) =3D | x | R= 11; 2        =             &nb= sp;            =         c. f(x) =3D -x3

 

       

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