March 30, 2017 Official Guide Solutions

When n liters of fuel was added to a tank that was already 1/3 full… Solution: We can let c = the capacity of the tank. Since when n …

March 30, 2017 Official Guide Solutions

When n liters of fuel was added to a tank that was already 1/3 full… Solution: We can let c = the capacity of the tank. Since when n …

March 28, 2017 Official Guide Solutions

The letters D, G, I, I , and T can be used to form 5-letter strings… Solution: This is a permutation problem, because the order of the letters matters. …

March 28, 2017 Official Guide Solutions

A sequence of numbers a1,a2,a3,…. is defined as follows: a1 = 3, a2 = 5… Solution: We are given a sequence in which every term in the sequence after …

March 28, 2017 Official Guide Solutions

On Saturday morning, Malachi will begin a camping vacation… Solution: Since we need to determine the probability that Malachi will return home at the end of the day on …

March 28, 2017 Official Guide Solutions

Which of the following equations has 1 + √2 as one of… Solution: To solve this problem, we need to use the following two facts: 1) If a quadratic …

March 28, 2017 Official Guide Solutions

A certain experimental mathematics program was tried out in 2 classes… Solution: We are given that a certain experimental mathematics program was tried out in 2 classes in each …

March 28, 2017 Official Guide Solutions

Last year 26 members of a certain club traveled to England… Solution: We are given the following: England travelers = 26 France travelers = 26 Italy travelers = 32 …

March 28, 2017 Official Guide Solutions

If there are fewer than 8 zeroes between the decimal point and the first nonzero… Solution: We are given that the decimal expansion of (t/1000)^4 has fewer than 8 …