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Jeffrey left 4/7 of his wife and 1/4 of the remainder to his granddaughter. The part of his estate that is not accounted for,given as a factor is

Show that in the definition of a vector space V the condition about

existence of additive inverse can be replaced with the condition:

0v = v, for all v is the element of V .

Here the 0 on the left side of the equation is the scalar 0, and on right side of

the equation is the additive identity of V .


A men's store bought 500 suits, some at $125 each and the rest at $200 each. If the total cost of the suits was $77,500, how many suits was purchased at $200?


Prove that every non-trivial subgroup of a cyclic group has finite index. Hence 

prove that (Q, +) is not cyclic.


Solve the following equations. Do a LS = RS check to make sure that your

answer is correct. (8)


b) m + 1/2 + m + 1 /3 ***( / means over)



Circle one pair of like terms and underline the other (2)


a) 4r – 6 = -13r + 11 b) 2.5 q + 7 = 1.6 q


Circle one pair of like terms and underline the other (2)


a) 4r – 6 = -13r + 11 b) 2.5 q + 7 = 1.6 q


solve the following equation (show work)


10/x = 5 (10 over x = 5)


which of the following equations have the solution k=5? show your work


a) k + 5=10 b) 5k=25 c) k - 5=10 d) k/6=5 (k over 6)


solve each equation for the given variable


a) b - 8 = -4 b) 25x + 2 = 77 c) k + 7 = -4 d) 5w/3 = 15 ( this is 5w over 3)