Write an algebraic expression to represent "five plus the quotient of r and 14."

1) 5+14r
2)5+14
----
r
3)5+r/14
4)5-r/14

Question

Write an algebraic expression to represent "five plus the quotient of r and 14."  

1) 5+14r
2)5+14
    ----
        r
3)5+r/14
4)5-r/14

radar · Answer

Use a systematic approach.  We know that plus means an addition.  This eliminates the last one (4).

Quotient means a division is involved.  this eliminates 1)

radar · Answer

The  remaining choices do indicate a division but one has a division that includes the complete sum divided by r.  The problem states that only r is to be divided by 14.  this would then eliminate 2).

anonymous · Answer

i dont get how i would be three though?

radar · Answer

3) states that  we are to add 5 and the quotient of r/14, isn't that what the problem is asking?

anonymous · Answer

ok i understand now thank you :)

radar · Answer

The quotient is the result of a division.  since r is an unknown, we cannot put the results but just the indication of the operation.

anonymous · Answer

your a great help thank you

radar · Answer

$$r \over 14$$
r is referred as the dividend
14 is referred to as the divisor
the result of the division is referred to as the "quotient"