School Store Prices Reasoning
Choose one item to purchase. What is
the greatest number of that item you
can buy with a $10 bill and still receive
change? How much change will you
receive? Explain.
Item
Cost ($)
Pencil
0.10
Pen
0.25
Poster board
1.50
Notebook
3.00
Eraser
0.10

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. what is the resulting expression? (4x2 + 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 + 3) (4x2 + 5)(x2 – 3)

What ia the sum if the first 7 terms of the geometric series