Practice Page
Directions: Answer these question pertaining to binary operations, as defined in each situation. Check your answer when finished. For questions #1-4, assume the set to be the real numbers.

1.
Given: a binary1 b = a2- b
What is the value of 3 binary1 4 ?
kid1pic
Choose:
  2 5 12 13

 

2.
Given: x binary2 y = |3x - 4y|
What is the value of 2 binary2 6 ?
kid2
Choose:
  -18 -14 14 18

 

3.
Given: r binary3 s = 2r + 3s
What is the value of 3 binary3 (4 binary3 5) ?
kid3pic
Choose:
  23 43 75 76

 

4.
Given: a binary4 b = a - b2
What is the value of (2 binary4 1) binary4 3 ?
kid4
Choose:
  1 -6 -8 -12

 

5.
Operation binary5 is defined on the set { D, O, G, S } as shown in the table below:

binarydog

a.  What is the value of O binary5 G ?
b.  Is this operation commutative? Explain.
c.  What is the identity element? Justify your answer.
d.  Find the inverse of each element.
e.  True or false:       (D binary5 G) binary5S = D binary5 (G binary5 S)

 

 

6.
Operation binary7 is defined on the set { m, a, t, h } as shown in the table below:

binarytable6

a.  What is the value of m binary7 a ?
b.  Is this operation commutative? Explain.
c.  What is the identity element? Justify your answer.
d.  Find the inverse of each element.
e.  True or false:
         m binary7 (a binary7 t) = (m binary7 a) binary7 t

 

 

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