1. #1. m.
#2. 2m-1.
#3. 4m-2-1 = 4m-3.
#4. 8m-6-1 = 8m-7.
#5. 16m-14-1 = 16m-15.
#6. 32m-30-1 = 32m-31.
m + 2m-1 + 4m-3 + 8m-7 16m-15 + 32m-31 = 63m - 57.
1. As the geese are sitting in a row on their feeder, the first goose eats m kernels of cracked corn. Each goose in the row then eats 1 less than twice the number of kernels eaten by the previous goose. Which of the numbered choices expresses the total number of kernels of cracked corn eaten by the six geese?
1) 12m - 5 2) 21m - 20
3) 63m - 57 4) 72m - 68
2. On a given day, three of the geese (Amy, Amanda, and Arlene) produce a total of T eggs. If Amy produces 6 less than half this total, and Arlene produces two less than one-third this total, which expression represents the number of eggs produced by Amanda?
1) m11 2) m22 3) m33 4) m44
3. The six geese have called their friends to come to the pond for a party. The total number of their friends called can be expressed as f1.
a) Which of the numbered choices is equivalent to this expression?
1) x(3x + 1) 2) 3x(x + 4)
3) f2 4) f3
b) If the value of x in the expression f1 is equal to the solution to the equation 7x - 2 = 4x + 7, how many friends did the geese call?
4. Goose eggs take approximately one month to incubate. The babies are called goslings, and are able to swim immediately upon birth. The goslings can swim for approximately f4 feet underwater. How far, in feet, can the goslings swim underwater?
mathbits(dot)com/caching/holiday/H30976.html
2 answers
2. T-((T/2)-6 + (T/3)-2) =
T-((3T/6)-6 + (2T/6)-2) =
T - ((5T/6) - 8) = T - 5T/6 + 8 = 6T/6 - 5T/6 + 8 = T/6 + 8.
T-((3T/6)-6 + (2T/6)-2) =
T - ((5T/6) - 8) = T - 5T/6 + 8 = 6T/6 - 5T/6 + 8 = T/6 + 8.