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Sequence

Sequence & Patterns

Fill in the missing number for each set of numbers.

1)    What is the next two numbers in the sequence:
       3, 6, 9, _, _
        How did you get from one term to the next?

2)    What is the next two numbers in the sequence:
       5, 10, 20, 40, _, _
        How did you get from one term to the next?

3)    What is the next two numbers in the sequence:
       2, 5, 8, 11, 14. _, _
        How did you get from one term to the next?

4)    What is the next two numbers in the sequence:
       331, 316, 301, 286, _, _, _
        How did you get from one term to the next?

5)    Discover the missing number in the sequence:
       60, 60, 61, 50_, _ 
        What is the type of sequence pattern?

6)    Discover the missing number in the sequence:
       3, _, 12, 24, _
        What is the type of sequence pattern?

7)    Discover the missing number in the sequence:
       _, 34, 44, _, 64 
        What is the type of sequence pattern?

8)    Discover the missing number in the sequence:
       20, 10, _, 2.5, 1.5, _ 
        What is the type of sequence pattern?

Solve the following absolute expressions

1)    What is the absolute value?
                      | 3 | = ?

 

2)    What is the absolute value?                              | -4 | = ?
 

3)    What is the absolute value?                             | 300 | = ?
 

4)    What is the absolute value?                           - | -5 | = ?
 

5)    What is the absolute value?                              | 5 | = ?
 

6)    What is the absolute value?                              | -1000 | = ?
 

7)    What is the absolute value?                             -| 44 | = ?      

8)                     | 3 | + 3 = ?
               A. 6                          B. 0
               C. -6                       D. 9

 
9)                     | 3 | + | -20 |  = ?               
               A. -23                     B. 23
               
                C. 17                        D. -17

 
10)                   23 + | -1 | = ?
               A. 22                       B. -22
               
               C. 24                       D. -24

 
11)                    6 + 9 + | -2 | = ?
               A. 13                          B. 17
             
               C. -13                       D. -17

 

12)                   | 100 | - | -10 | = ?
               A. 90                          B. 110               
               C. -90                       D. -110

13)                   | -20 | - | -20| = ?
               
               A. 40                        B. -20
                                  C. -400                  D. 0

14
)                  -50 - | -20 | = ?                                        A. 0                           B. -70                                    C. -30                     D. 20

Absolute
Associative

Which expression equate to the associative property

1)    Which is equal to:  a * (b * 3) 
       A. (a + b) + 3
       B. (a * b) + 3
       C. (a * b) * 3

2)  Which is equal to: 
 2 * (4 * 9)  
     A. 2 + (4 * 9)
  
     B. (2 * 4) * 9
     
     C. (2 / 4) * 9

3)  Which is equal to:  (4 * 4) * 3 
       A. 4 * (4 + 3)
       B. 4 + (4 * 3)
       C. 4 * (4 * 3)

4)  W
hich is equal to:  5  * (0 * 4)               A. (5 * 0) * 4      
       B. 5 + (0 * 4)       
       C. 5 + (0 + 4)

5)   Which is equal to:  (15 * 2) * 1             A. 15 * (2 * 1)
             
     B. 15 + (2 / 1)
              
     C. 15 * (2 + 1)

6)    Which is equal to:  4 + (6 + 2) 
     A. 4 + (6 * 2)
       
     B. (4 + 6) + 2        
     C. (4 + 6) * 2

7)    Which is equal to:  1 + (8 + 2)               A. 1 * (8 + 2)
       
     B. 1 + (8 * 2)
       
     C. (1 + 8) + 2

8)    Which is equal to:  (7 + 4) + 3 
      A. 7 + (4 + 3)
      B. 7 * (4 - 3)
      C. 7 * (4 + 3)

9)    W
hich is equal to:  4 + (9 + 1)             A. (4 + 9) + 1    
     B. 4 + (9 * 1)       
     C. 4 * (9 + 1)

10)   Which is equal to:  (3 + 1) + 6             A. 3 * (1 + 6)
             
     B. 3 + (1 * 6)
              
     C. 3 + (1 + 6)

Fill in the blanks to  solve with the associative property

1)    5 * (4 * 3) 
                *              =

       (5   * 4) * 3
                *              =

2)    4 * (6 * 2) 
                *              =

       (4  * 6) * 2
                *              =

3)   (3 * 1) * 6 
                *              =

       3 * ( 1 * 6)
                *              =

4)    5  + (2 + 4) 
                +              =

       (5  + 2) + 4
                +              =

5)    4 + (9  +  2) 
                +              =

       (4 + 9) + 2) 
                +              =

6)    7 + (4 + 3) 
                +              =

       (7  + 4) + 3
                +              =

Comm_1

Which expression equates to the communitive property

1)    if  a * b = ab, then  b * a = 
     A. b + a
     B. a * b
     C. ba


2)    if 2 + 4 = 6, then  4 + 2 =    

     A. 4
     B.  2
     C. 6

3)    if  5 * 7 * 2, then  5 * 2 * 7  = 
       A. 7 * 2
       B. 70
       C. 2


4)    if 2 + 3 + 6 = 11, then  3 + 2 + 6 =   

      A. 4 * 6
      B.  2 * 4 + 6
      C. 11

5)    if  5 * 7 * 2 = 70, then  7 * 5 * 2  = 
       A. 7 * 2
       B. 70
       C. 2

6)    Which is equal to:  4 * 5 * 3 
       A. 5 * 3 * 4
       B. 4 + 5 + 3
       C. 4 * (5 * 3)


7)    W
hich is equal to:  a * 3 + b * 3           A. 6ab
       B. 3a + 6b   
       C. 3a + 3b


8)    Which is equal to:   6 + 2 + 1                   A.
 6 - 1 + 2      
       B.  2 + 6 + 1
             
      C.  6 + 1 + 2

9)    Which is equal to:  y(2a + 3) 
       A. y + 2a + 3
       B. y(3 + 2a)
       C. 3y + 2ay


10)   W
hich is equal to:  5 * 0 * 4                 A. 5 * 4 * 0     
       B.  4 * 0 * 5    
       C. 0 * 4 * 5

1)   Which of the following does not show         the communitive property?
     A. 2 + 4 = 4 + 2

     B. 4 * 2 = 2 * 4
     C. 4 - 2 = 2 - 4
     Why is it not true?

2)   Which of the following does not show         the communitive property?
     A. 2 + 4 * 3 = 3 + 4 * 2

     B. 6 * 8 * 9 = 8 * 9 * 6
     C. 4 + 8 + 3 = 8 + 3 + 4
     Why is it not true?

3)   Which of the following does not show         the communitive property?
     A. 2 + 8 + 9 = 8 + 9 + 4

     B. 30 * 2 = 2 * 30
     C. 25 / 5 = 25 / 5
     Why is it not true?

4)   Which of the following does not show         the communitive property?
     A. 5 + 9 + 6 = 9 + 6 + 5

     B. 5 - 9 - 6 = 5 - 6 - 9
     C. 5 + 9 + 6 = 5 + 6 + 9
     Why is it not true?

5)   Which of the following does not show         the communitive property?
     A. xyz = zyx

     B. xyz = xxy
     C. x * y + z = x * z + y
     Why is it not true?

6)   Which of the following does not show         the communitive property?
     A. a * 2

     B. 30 * 2 = 2 * 30
     C. 25 / 5 = 25 / 5
     Why is it not true?

Which exponent rule matches the expression

1)    Which rule should you apply to solve the expression: 
     A. two exponent rule
     B. one exponent rule
     C. zero exponent rule

2

0

2)   Which is the correct answer for the expression:
     
     A.  fractional exponent rule
     
     B.  power of division rule
     
     C. power of a power rule


 

8

3

(   ) 

3)    Which is the correct answer for the expression:
     A.  two exponent rule
     B.  exponent of the one rule
     C.  two to the one exponent rule

2

1

4)    Which is the correct answer for the expression:
     A.  addition exponent rule
     B.  multiplication exponent rule
     C.  multiplication to the power rule

4

3

+

2

3

2

-1

5)    Which is the correct answer for the expression:
     A. fractional exponent rule
     B. negative exponent rule
     C. multiplication exponent rule

6)    Which is the correct answer for the expression:
     A. power rule
     B. power of a power rule
     C. power of a product rule

(2    )

1
3
3

2

2

2

7)    Which is the correct answer for the expression:
     
     A.  division exponent rule
     B.  power of the product rule
     C. fractional exponent rule

8)    Which is the correct answer for the expression:
     A.  addition exponent rule
     
     B.  multiplication exponent rule
    
     C.  multiplication to the power rule

(2 * 4)

3
3

2

4

9)   Which is the correct answer for the expression:
     A.  fractional exponent rule
     B.  power of a fraction rule
     C. power of a power rule

10)   Which is the correct answer for the expression:
     A.  addition exponent rule
     
     B.  multiplication exponent rule
    
     C.  multiplication to the power rule

4

2

*

2

2

exponent
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