Problem 1 :
Kris is wrapping Christmas lights around the railing
that runs around three sides of his square porch. If one side of his porch is
12 feet long, and each strand of his Christmas lights will wrap around a
70-inch length of the railing, what is the minimum number of strands Kris needs
to completely wrap the porch railing?
A) 6
B) 7
C) 8
D) 9
Solution :
Problem 2 :
30x2 + bx + 33
A factor of the expression above is (px + q), where p and q are positive integers. What is the least possible value of b?
Solution :
Problem 3 :
The table shows x and y values for the function g(x). The function f(x) is an exponential function in the form of abx. What is the value of (a + b)?
Solution :
Problem 4 :
Kristen opens a bank account that earns 4% interest
each year, compounded once every two years. If she opened the account with k dollars, which of the following
expressions represents the total amount after t years?
Solution :
Problem 5 :
Circle F in
the xy-plane is represented by the
equation (x – 13)2 + (y – 9)2 = 196. Circle G is obtained by shifting circle F, 5 units to the left and 11 units up.
An equation representing circle G is (2x + h)2 + (2y + k)2
= ℓ, where h, k and ℓ are constants. What is the value of h + k + ℓ?
Solution :
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