1, THE FOLLOWING ARE PROBLEMS THAT HAVE BEEN ON THE SAT TESTS.
1, Which of the following does not evenly divide into 30?
1,    A.   2
1,    B.   3
1,    C.   4
1,    D.   5
1, Solution: 4 is not a factor of 30 because
1,           30 /4 =7.5
2, If A+B=7 AND C+D=5 then A+B+-C-D=?
2,    A.   -4
2,    B.   -2
2,    C.    1
2,    D.    2
2, Solution: A + B -C- D = (A+B) - (C+D) = 7-5 = 2
3, If y=mx+b then x=?
3, A.  y-b
3, B.  y-b-m
3, C.  y/m-b
3, D.  (y-b)/m
3, Solution: y=mx+b  or mx=y-b   or x =(y-b)/m
4, If (x-3)[2]=9 then  (note [2] means squared)
4, A.  x=0 only
4, B.  x=3 only
4, C.  x=6 only
4, D.  x=0 or x=6
4,  Solution: (x-3)[2]=9  or (x-3)=3 or -3  then x=6 or 0
5, At 50 miles per hour, it would take 2 hours to drive from
5, city A to city B.  How long would it take at 60 miles per
5, hour?
5,  A.  1 hour, 40 minutes
5,  B.  1 hour, 45 minutes
5,  C.  1 hour, 50 minutes
5,  D.  1 hour, 55 minutes
5, Solution: Rate = Distance/Time
5, The distance between A and B is fixed. To figure the distance:
5, 50=D/2 , D=100 miles
5, To figure the time at 60 mph solve:
5, 60=100/t or t=100/60 or t=100 minutes or 1 hour 40 minutes.
6.  (a+b) - (c-d)  =
6,  A.  a-b-c-d
6,  B.  a-b-c+d
6,  C.  a-b+c-d
6,  D.  a+b-c+d
6,  Solution: (a+b) - (c-d) equals a-b-c+d
7,  a+b+c=21 and c+d+e=7.  If each of the letteres in the above
7,  equation represents a different nujmber between 1 and 9,
7,  inclusive, then c =?
7,  A.  3
7,  B.  4
7,  C.  5
7,  D.  6
7,  Solution: From the first equation the smallest C can be
7,  is 4.  Likewise, from the second equation, the biggest
7,  C can be is also 4.
8, Twenty percent of 75 is 75 percent of what number?
8,  A. 5
8,  B. 10
8,  C. 15
8,  D, 20
8, Solution:  20% of 75  = .20 * 75.
8, Multiply the .20 by 100 and divide the 75 by 100 to get
8, .75*20 or 75% of 20.
9,  Cara earns $16 per hour for the first 8 hours she works
9,  each day and $24 per hour for each hour after that.
9,  How much would Cara earn for working a 10 hour day?
9,  A.  $160
9,  B.  $176
9,  C.  $200
9,  D.  $208
9, Solution: (8*16)+(2*24)= 128+48= $176
10,  The cost of a 25 cent candy bar is raised 20 percent.
10,  What is the new cost of the candy bar?
10,  A.  45 cents
10,  B.  40 cents
10,  C.  30 cents
10,  D.  25 cents
10, Solution: 1.20 * 25 = 30 cents
11,  If 1/2 + 1/8 -1/4 - 1/6 = 1/x then x =?
11,  A.  0
11,  B.  1
11,  C.  1 1/2
11,  D.  5/24
11,  E.  4 4/5
11, Solution: 1/x = 1/2+1/8-1/4-1/6
11, Find a common denominator, in this case 24.
11, convert each fraction to 24's
11, 12/24+3/24-6/24-3/24 = 5/24 so 1/x =5/24 or x =24/5
11, or x = 4 4/5
12, If one is added to each of the digits of 3,642,
12, then the resulting number is?
12,  A. 1 move than 3,642
12,  B.  4 more than 3,642
12,  C. 1,000 more than 3,642
12,  D. 1,111 more than 3,642
12,  E. 4753 more than 3,642
12, Solution:  Adding one to only the first digit increases
12, the number by 1,000; to the second digit by 100;
12, to the third by 10,and to the fourth by 1
12, the total change is 1,111.
13, A desk-chair set costs $9.89 each or $9.14 by the dozen.
13, A school needs to buy 1 gross(12 dozen) sets.
13, How much does it save by buying the sets by the dozen
13, instead of singly?
13,  A. $9.00
13,  B. $18.00
13,  C. $19.03
13,  D. $24.00
13,  E. $108.00
13, The school saves $9.89 -$9.14=$.75 per set.
13, When it buys 12 dozen chairs, it saves 144 * $.75 = $108
14, If y=1/(x+1) then what is x in terms of y?
14,  A.  1/(1+y)
14,  B.  1/(y-1)
14,  C.  1/y
14,  D.  (1-y)/y
14,  E.  1/y-y
14,  Solution: y = 1/(x+1) or x + 1 =1/y or x = 1/y-1
14,  or x = (1-y)/y
15, To make orange juice, mix water with the concentrate in
15, the ratio of 3 to 1.  If 12 liters of orange juice
15, are needed, how many liters of concentrate need to be bought?
15,  A.  3
15,  B.  4
15,  C.  6
15,  D.  36
15,  E.  48
15,  Solution: Three liters of concentrate get mixed with
15,  3(3) = 9 liters of water to yield 12 liters of juice.
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