Real Test 1   Sp06
answers: bbbcd accba  accbc  cbbdbc 
The first   problems are from sec. 1.1.
1.    The area of a rectangle  with base V and height U is  what ?
a V + U
b V · U
c  V - U
d  nota
2.   If  V  = 6 ft  and U = 8  ft in the previous problem, then the area is 
a 10 ft 
b  48 ft2
c  24 ft2
d nota
3.  Translate the following to  mathematics, the international  language of the world ! The product of 9 and twice m :
a 9+ 2m
b 9 · 2m
c  2 ·  m 
d nota
The next problems are from 1.2
4.  Factor : 5 + 10u  - 15 v + 25w - 15p
a 5(5 +  2u - 3v + 5w - 3p)
b 5( 2u - 3v + 5w - 3p)
c 5( 1 + 2u - 3v + 5w - 3p) 
d nota
5.  Rewrite using the commutative law of addition only: 5a + 1
a 5·( 1 + a)
b a·5   + 1
c 1 +  a·5
d  1 + 5·a
The next probs. are from 1.3.
6. Simplify fully : 210/98
a15/7
b300/49
c30/14
dnota
7. Perform the indicated operations: 8/10 +   8/15 + 9/10. Simplify fully.
a24/35
b37/30
c67/30
dnota
8.  Perform the indicated operation: 7/15 + 8/15 + 9/15
a67/30
b24/45
c24/15
dnota
The next  probs.  are from 1.4
9. True or False :   19,370,000 < 2
a True
b False
cnota
d
10. True or False:   |-19,370,000| > 2
aTrue
bFalse
cnota
d
11. 1.5.    Add. 36 +  (-14) + (-19) + (-6) + 3 + (-3) + 3 + (-3)
a-3
b0
c-4
dnota
The next probs. are from sec 1.6
12. Subtract:  5 - (-1110)
a-1195
b1195
c1115
dnota
13.  Combine like terms: 2  +  6t - 9 - 2t + 3 + 8t
a -12t + 4 
b-4
c12t - 4
dnota
The next probs. are from sec. 1.7.
14. Multiply.  (-8)(-9)(-100)(-1)(-1)(-1)(-1)(-1)(-1)(-1)
a-7200
b7200
c-720
dnota
15. Divide: 0/-8
aundefined 
b-8
c0
dnota
These are from 1.8
16. Simplify [82  +  62]/[ 3 - 62  + 2·19]
a100
b100/47
c20
dnone of the above
17. What's equivalent to this?  -(-7 - 2x - y - z - u)
a-7 - 2x + y + z + u
b7 + 2x + y + z + u
c7 + 2x + y + z - u
dnota
18.  simplify.  5u3 + 4u  - 4(u + 2u3)
a 13u3  - 8u
b -3u3  
c -3u3  - 8u
d nota
The next  problem  is from 2.1
19.   Solve for x:    x + 1/6  = 4/3
a4/18
b1
c-1
d7/6
e. nota
Below is 2.2
20.  Solve for y:  2 - (4y  + 6)   = 4(y - 6) + 2y.  The answer for y is between: 
a -3 and 0 
b0 and 3
c3  and  6
dnota
The next  probs. are from 2.3
21.  Solve for y :   B = D + ay  +  by  +  cy 
ay = (B  - D - by - cy)/a
by = B/(a + b+ c - D)
cy = (B - D)/(a + b + c)
dnone of the above
22. Written Problem. Solve for c: A = (a  -  b  +  c)/6
The next probs. are from 2.4
23. Written Problem. What percent of 68 is 17 ? Translate and solve. x·68 = 17.    x =  0.25 = 25%
24. Written Problem. 12 is 25 % of what ? Translate and solve. 12 = 0.25·x.  x = 48.
25. Written Problem. Sec. 2.5.  The top of a building is a rectangle whose length  L is 50 ft more than the width W. The perimeter is 260 feet. What are the length L and width W? See the method of quiz 5, #10. Same approach gives you W = 40  and L = 90.
26. Written Problem. Sec. 2.3.  Solve for a.    M = abc/6.     a = 6M/bc
27. Written Problem. Sec. 2.3. Solve for y :   D = ay - by + cy + dy. Thus,   D/(a - b + c + d)   =    y
Below are extra credit
28.  Solve for x.  5x +  22 = 57.   x = 7
29.  Solve for b.  Q = (a  +  b )/3.    3Q - a  =    b 
30.  Solve for y:  2 - (4y  + 6)   = 4(y - 6) + 2y.  y = 2