MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C9B115.AE6F5050" 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_01C9B115.AE6F5050 Content-Location: file:///C:/213799D3/sample-3.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Test 1 Math 113

Sample Test 3 Math 123a 

 

1. Solve for B given that:  &nb= sp;              =             &nb= sp;   2. Solve for B where –3a + 2B =3D 100


3. Solve<= span style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;mso-fareast-language:ZH= -CN'> for x:


c.  3(2 – 3x) + 2x – 5 =3D –2 – 3(2x +2) + 5

4.  Plot and label the following coord= inates (3, –2 ),=   (–5, 0), ( 0, –5), (–2, 4)

5.  Is (–3, 2) a solution for the system

   2x + y  =3D – 4

   x – y =3D 5

6.  a. Graph the point x =3D 3 on the = real line.

     b. Graph the equ= ation x =3D 3 in the x&y coordinate system.<= /o:p>

7. Graph the following equation in x and y. Label your lines as A, B, C, and D= .

A.  y =3D x + 4        =             &nb= sp;        B.  x – 2y =3D 4<= span style=3D'mso-spacerun:yes'>        =              =  C.  x =3D –5        =             &nb= sp;  

D.  3x – 2y =3D –6        =             &nb= sp;   E. 3y + 2 =3D 0   &n= bsp;            = ;       F.  2y – x =3D12  

8.  Solve the following system

a. by substitution        =             &nb= sp;            =            b. by elimination

    x =3D 6 + y        =             &nb= sp;            =             &nb= sp;          x  = – y   =3D 6 

    x + 2y =3D – 3        =             &nb= sp;            =             &nb= sp;      x + 2y =3D –3

9.  Solve the following systems by any method

A.  x + y =3D 6        =             &nb= sp;        B.         y&= nbsp; =3D 4 + x        =             &nb= sp;  C.  3x – 2y =3D 3=

      x – = y =3D 2        =             &nb= sp;             x + 2y  =3D 6        =             &nb= sp;            =   4x – 3= y =3D –1

10.  3 hamburgers and 2 cokes cost $5.50.  2 hamburgers and 3 cokes cost $4.50.        =     

How much is each?   (Set up a system and solve)

11.   We are to make 48 lbs of $3/lb cand= y by mixing $5= /lb candy with $2/lb candy. How many pounds of each type do we need? 

12.  We have $8,000 in two accounts, on= e at 8% and the other at 6%.  Their combined interest is $600.  Ho= w much is in each account?

7.   Solve  5x > 3 - 2x, draw the solution.         8. Solve    < = 3 - 2x, draw the solution=  

 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;      

13. Simplify and leave the answer in positi= ve exponent:


 

14. A.  Calculate 40 * 3–1 – 3 * 2 –2 and leave the answer reduced fraction. 

15.  A. Write the number 2,340,000,000 in        B.  Convert 3.76 x 10 <= sup>–5  into a decimal<= span style=3D'mso-spacerun:yes'>        =       

the scientific notation

C.  compute 2.5x1060 x 8.4 x10–= ;38 and put the answer in the scientific notation

 

Ans: 1. a. B =3D –15c/2    b. B =3D –5c – 2/3 = ;  2. B =3D (100 + 3a)/2     3. a. x =3D –160    &n= bsp; b. x =3D 2     5.  No     8. a. (3, –3)   b. (3, –3)  

 9. a. (4, 2)   b. (-2/3, 10/3)   c. (11, 15)  10. H =3D 1.5, C =3D 0.5   11. 16 lb of the $5-candy, 3= 2 lb of the $2 –candy

12. $6000 at 8% and $2000 at 6%.    13. a. (3y2= )/(2x3)&nbs= p;  b. x7y–6   14. R= 11;5/12   15.  a. 2.34 x 109      b. 0.0000376    c.  2.1 x 1021 

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