Sat (Number,Symbols,and Variable)

Sat Practices Lesson 3-1

1. if a = 9 x 23 and b = 9 x 24, What is the value of b-a ?
    (a) 901              (b) 903                    (c) 906                   (d) 909              (e) 911  

2. By how much does the product of 8 and 25 exceed the product of 15 and 10 ?
    (a)  25               (b) 50                      (c) 75                     (d) 100              (e) 125

3. How many containers,each holding 16 fluid ounces of milk,arc needed to hold 5 quarts of milk?
    ( 1 qt = 32 fl oz)
    (a) 6                  (b) 8                        (c) 10                     (d) 12                (e) 14

4. If the current odometer reading of a car is 31,983 miles, what is the LEAST number of miles that the 
    car   must travel before the odometer displays four digits that are the same?
    (a) 17               (b)  239                    (c) 350                   (d) 650               (e) 1,650

5. In store A a scarf costs $12, and store B the same scarf is on sale for $8. How many scarfs can be  
    bought in store B with the amount of money, excluding sales tax, needed to buy o scarfs in store A?

     (a) 4                (b) 12                       (c) 15                     (d) 18                 (e) 21

6. Let * represent one of the four basic arithmetic operations such that, for any nonzero real number r,

    r * 0 = r and r * r = 0,   Which arithmetic operation(s) does the symbol * represent?

     (a) + only        (b) - only                   (c) + and -              (d)  x only           (e) + , - , or x 

7. Kurt has saved $160 to buy a stereo system that costs $400 including taxes. If he earns $8 an hour 

    after all payroll deductions have been made, how many hours will he have to work in order to have 

    exactly enough money to buy the stereo system?

    (a)  20              (b)  24                      (c) 25                     (d) 30                  (e) 40

8. If the present time is exactly 1:00 P.M., what was the time exactly 39 hours ago?

    (a) 4:00 P.M.   (b) 4:00 A.M.            (c) 9:00 P.M.         (d) 9:00 A.M.       (e) 10:00 P.M.

9. Let # represent one of the four basic arithmetic operations such that, for any nonzero real
     numbers r and s,     r # 0 = r and r # s = s # r , Which arithmetic operation(s) does the symbol #
     represent?

     (a) + only        (b) x only                   (c) - only               (d)  - and x            (e) + and / 

10. If w = (6)(6)(6), x = (5)(6)(7), and y = (4)(6)(8), which inequality statement is true?

    (a) x

11. If x and y are positive integers, 2x + y < 29, and y > 4, what is the greatest possible value of x – y?

    (a) 5                 (b) 6                          (c) 7                      (d) 8                     (e) 9
12. r = 4pv , q = r/(p+2),
      If r and q are defined by equartions above ,What is the value of q when p = 3 and v = 5
    (a)  4                (b) 6                          (c) 8                      (d) 12                   (e) 15

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Answers 3.1
(1)d  (2)b  (3)c  (4)b  (5)c  (6)b (7)d (8)e (9)a (10)d (11)b (12)d
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Sat Practices Lesson 3-2

 1.If 5 = a^x ,then 5/a = ?

a) a^x+1                    b) a^x-1          c) a^1-x           d) a(x/5)          e) a(5/x)           

(B) 2

2- If x = 32 – 16 ¸ 2 x 4, then x =

(B) 2

3- What is the greatest number of positive integer values of x for which 1 < x2 < 50?

(B) Six

4- If 2 = p3, then 8p must equal

(C) p10

5- If 5 = ax, then 5/a =

(B) ax 1

6- If b3 = 4, then b6 =

(D) 16

7- If w is a positive number and w2 = 2, then w3 =

(B) 2Ö2

8- If 8x+1 = 64, what is the value of 32x+1?

(D) 27

9- If 0 < y < x, which statement MUST be true?

(D) Öxy = (Öx) (Öy)

10- Given y = wx2 and y is not 0. If the values of x and w are each doubled, then the value of y is multiplied by

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(E) 8

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